All the Mathematics You Missed but Need to Know for...

All the Mathematics You Missed Beginning graduate students in mathematics and other quantitative subjects are expected to have a daunting breadth of mathematical knowledge, but few have such a background. This book will help students see the broad outline of mathematics and to fill in the gaps in their knowledge. The author explains the basic points and a few key results of the most important undergraduate topics in mathematics, emphasizing the intuitions behind the subject. The topics include linear algebra, vector calculus, differential geometry, real analysis, point-set topology, differential equations, probability theory, complex analysis, abstract algebra, and more. An annotated bibliography offers a guide to further reading and†¦show more content†¦. . . . 2 and J Real Analysis 2.1 Limits . . . . . 2.2 Continuity... 2.3 Differentiation 2.4 Integration .. 2.5 The Fundamental Theorem of Calculus. 2.6 Pointwise Convergence of Functions 2.7 Uniform Convergence . 2.8 The Weierstrass M-Test 2.9 Weierstrass Example. 2.10 Books .. 2.11 Exercises . E 20 21 21 23 23 25 26 28 31 35 36 38 40 43 44 47 47 3 Calculus for Vector-Valued Functions 3.1 Vector-Valued Functions . . . 3.2 Limits and Continuity . . . . . 3.3 Differentiation and Jacobians . 3.4 The Inverse Function Theorem 3.5 Implicit Function Theorem 3.6 Books .. 3.7 Exercises . . . . Point Set Topology 4.1 Basic Definitions . 4.2 The Standard Topology on R n 4.3 Metric Spaces . . . . . . . . . . 4.4 Bases for Topologies . . . . . . 4.5 Zariski Topology of Commutative Rings 4.6 Books .. 4.7 Exercises . Classical Stokes Theorems 5.1 Preliminaries about Vector Calculus 5.1.1 Vector Fields . 5.1.2 Manifolds and Boundaries. 5.1.3 Path Integrals .. 5.1.4 Surface Integrals 5.1.5 The Gradient .. 5.1.6 The Divergence. 49 50 53 56 60 60 63 63 66 72 73 75 77 78 81 82 82 4 5 84 87 91 93 93 CONTENTS 5.1.7 The Curl . 5.1.8 Orientability . 5.2 The Divergence Theorem and Stokes Theorem 5.3 Physical Interpretation of Divergence Thm. . 5.4 A Physical Interpretation of Stokes Theorem 5.5 Proof of the Divergence Theorem . . . 5.6 Sketch of a Proof for Stokes Theorem 5.7 Books .. 5.8 Exercises . 6 Differential Forms and Stokes Show MoreRelatedManagement Information Systems ( Mis )1172 Words   |  5 Pagesthat new. Let s say, even Chitragupta, the god of scribes, was practicing MIS while keeping track of the deeds of humans, you know, for purposes of creating a database for good and bad karma. So, as you might have guessed already, MIS has to do with managing information. Without good practices of record-keeping and utilizing that record, Chitragupta s ledger could have missed out on meting out fairly deserved karma kickbacks. What has changed, since the mythological age to the Information age, isRead MoreWhy Students Should Drop Out Of High School1268 Words   |  6 Pages Music Literacy in Schools High school literacy is linked to the high school dropout rate. While the high school dropout rates have declined over the past decade, the facts that influence this phenomenon continue to be consistent. There are multiple reasons for why students would drop out of high school. The following are just some of the reasons to why kids might dropout, including that they missed too many days, they thought they could not complete the course requirements, they didn’t feel safeRead MoreIs The Art Of Creativity?1267 Words   |  6 Pages17+ years of time in schools, 5 primary school years, 3 middle school years, 4 high school, and 4 more college years, minimum. With just about a quarter of our lives dedicated to education, one could expect our young adults to be geniuses, and for the most part, they are exceptionally smart. But, I dare to raise the question, are they creative? They know how to solve complex calculus, but do they know how to inspire change? They know the history of Eu rope, but do they know and want to interact withRead MoreA Self Directed Learner Is A Successful Student1598 Words   |  7 PagesA self-directed learner is a student who takes ownership of his/her learning and knows what is at stake to learn. A self-directed learner does not need to be instructed to study. A self-directed learner is time concious in delivering assignments. A self-directed learner is a responsible student, matured and takes charge of learning. Intrinsically motivated learner is a student who have the zeal and motivation to learn. The intrinsically motivated student have the passion to learn and the motivationRead MoreThe Great Gatsby By William Shakespeare Essay1635 Words   |  7 Pages Please list three books, along with their authors, that have been particularly meaningful to you. For each book, please include a sentence explaining their influence upon you. Please note that your response is not limited to math, science or school-assigned texts. (200 CHARACTER max) Book 1: A Game of Thrones by George R. R. Martin I enjoy the A Game of Thrones primarily for its shocking intricacies, introducing multiple surprises that always keep the reader anticipating and attempting to predictRead MoreAssignment Guide For Online Assignment1703 Words   |  7 Pageshave a tiring hectic schedule of their jobs, part-time jobs. In that situation they need online assignment help, assignment help online, online tutoring, assignment help service, homework help to keep them updated and to complete their academics. Jobs are the necessity in those countries since these students pay back their studies or support their college fees and academics. Student get so much tired that they need online assignment help in their assignment work, students believe that availing onlineRead MorePersonal Experience Reflection1577 Words   |  7 Pagestimes in education as compared to my times in public education in the District of Columbia. This is also true for my much earlier experiences during my undergrad studies and graduate studies at Clark College and then Clark Atlanta University. Also true is that I have not changed as a life-long learner. I still love school and the challenge of academic rigor. What has changed is the 21st-century ideology of how academics works now. What has changed is the advent of technology and the role it mustRead MoreAssignment Guide For Online Assignment1958 Words   |  8 Pageshave a tiring hectic schedule of their jobs, part-time jobs. In that situation they need online assignment help, assignment help online, online tutoring, assignment help service, homework help to keep them updated and to complete their academics. Jobs are the necessity in those countries since these students pay back their studies or support their college fees and academics. Student get so much tired that they need online assignment help in their assignment work, students believe that availing onlineRead MoreThe Relationship Between Critical Thinking and Student Sucess1767 Words   |  8 Pages likely to be retained in their first year and go on to graduate from university than those who fail to think critically. As briefly mentioned above, critical thinking is about taking a questioning approach to everything, every little detail, including things that predominately seem factual, for example the statement that ‘the world is round’. How do you know this is true? In taking a challenging approach to knowledge and perceived wisdom, you can develop your own understanding and enhance your personalRead MoreCramming Essay2004 Words   |  9 Pagesapproaching. It is time to gather all of the knowledge I have gained throughout the semester and put it all to use for those final exams that I as a student most times dread. The question is did I absorb what I learned or am I going to stay up all night, drinking coffee, trying to cram for those final exams? Cramming is the act of studying towards those last moments that approach before an exam or quiz. However, as students , it is important to realize that we need to get in the habit of studying over

The Military Discipline Free Essay Samples Diaries

The Military Discipline Free Essay Samples Diaries Experts have unique skills to create the best papers. You are able to learn more from the many military essay examples our experts have written before. If you would like to acquire far better idea about what the peculiarities of writing inside this subject field are, feel free to seek advice from our Applied sciences section. If you're looking for assistance with your essay then we provide a comprehensive writing service offered by fully qualified academics in your area of study. In order to get rid of any of the plagiarism problems, it's highly encouraged you do not utilize it for you own writing purposes. Before submitting an essay, check whether you enjoy the written portion of the work and prepare to wait around for the outcome. You will have to take the MUET examination. There's numerous essays completed by them. PaperCoach will be able to help you with all your papers, so take a look at this time! Military courtesy is displayed through a number of ways. Among the ways they demonstrate pride is via their dressing codes. We offer flexible system of discounts, but in addition our discount policy that permits you to conserve money on ordering essays at one time. Due to this most American residents still play at offshore sites. Discipline is something that you need to need to live a military life and be prosperous. Good rating and very good reviews should tell you everything that you need to understand about this excellent writing service. That type of activity usually takes around 4 hours each day. It's surprising how quickly comp points can accumulate! As a consequence, you get a terrific deal of free time and completed homework. To begin with, punctuality demonstrates how serious a man or woman is taking their job. Who Else Wants to Learn About Military Discipline Free Essay Samples? Order your authentic assignment from and you'll be astonished at how simple it is to finish a top quality custom paper within the shortest time possible! Moreover, they're in a better place to attain excellence in each of their tasks. Others might be set to have a task or chore done. Each has a distinctive function. The War Against Military Discipline Free Essay Samples Fantastic order and discipline is vital for an effective military. It is what holds units together in order to accomplish assigned missions. Military officers have various kinds of obligations. Respect helps officers in the little groups to recognize the worth of one another. A soldier has to be committed to the cause regardless of what the circumstances are. Anyway, the officers learn how to make the most out of every circumstance. The mandated ethics training in the many military arms are highly powerful in altering the attitude of individuals working inside them. You see a good deal of cases in were a soldier could possibly be yelled at, given counseling or some type of disciplinary action. Ok, I Think I Understand Military Discipline Free Essay Samples, Now Tell Me About Military Discipline Free Essay Samples! Without the urge to be honorable, a soldier can't come to be an expert. Police brutality causes an important concern in the modern society in the us and a resolution is imminent. Police Brutality Police Brutality is a continuous problem and existent concern in america and ought to be resolved immediat ely. Discipline is necessary for any soldier so as to be enlisted in the Military. Cohesion and cooperation among the soldiers are vital for the smooth operation of a military.

African Americans And The Civil War - 1076 Words

Throughout history African Americans have had is bad in the United States. First they went through slavery which lasted about two hundred year and was ended around the Civil War which was in the 1860s-1870s. Next after they went through slavery they went through the law of Jim Crow that started after the Civil War which stated, â€Å"Separate but Equal†, and that was not the case because African Americans were still treated as second class citizens. After about ninety years around the 1960s Dr. Martin Luther King came on the scene with the civil rights and helped abolish the Jim Crow. Things were good for African Americans for about ten years or so, and then Nixon become president and started a war on drugs. This war was not meant for drugs, it was meant for African Americans. They felt the force that was brought on due to the war on drugs because it was a way to oppress the like in the past. And once again black people were second class citizens. This is the main argument pre sented my Michelle Alexander in her book The New Jim Crow. In her book she debates that the War on Drugs and Mass incarceration is nothing more than the system trying to enslave African Americans like it centuries ago. She explains in her book that making this such as mandatory minimums and drug public enemy number one did nothing but cause black people to become the slaves that their ancestors were in a country that is meant to help them. I totally agree with her argument because while reading her bookShow MoreRelatedAfrican Americans and the Civil War774 Words   |  4 PagesEssay African Americans and the Civil War Slavery affected many of the political reasons that contributed to causing the Civil War in 1961. Most in the Northern states including President Lincoln were more concerned with preserving the Union rather than fighting for the freedom of all. On the other hand the South fought to preserve what they believed to be absolute state rights. However the overall goals of the war were altered significantly by the willingness of African Americans during war. ThisRead MoreAfrican Americans And The Civil War1449 Words   |  6 PagesWhen the Civil War began, they wanted to take part in fighting to free all slaves. At the end of the civil war passed the civil rights act that gave citizenship to people that are born in the united states, years later African American men were given the right to vote. This might give equal rights but African Americans are still being discriminated. Almost century later, African Americans are still being discriminated. They got jobs and their kids go to school, but more notice that it wasn t rightRead MoreThe Civil War On African Americans Essay1421 Words   |  6 PagesThe years preceding the Civil War were monstrous for African Americans located in the South of the country. Northerners and Southerners would argue that their visions of how society is structured is the right way and should be expanded throughout the nation. Southerners claimed that slavery is okay, and it’s a positive labor system. On the contrary, Northerners claim that laborers should be paid by wage, men should have equal opportunities, and slaves should gain freedom. The four most significantRead MoreAfrican American And The Civil War876 Words   |  4 PagesIn 1865, when the civil war ended in America and slavery was abolished, the African American population in the South faced many challenges related to their new found freedom. Following the pos t-Civil War Reconstruction period, white supremacy resurfaced in the South (AE Television, 2015). Beginning in the early 1900s through 1970 there was a mass exodus of African American s from South to North America. Although some African American s were known to have moved from the South as early as 1850Read MoreThe Civil War Of African Americans1010 Words   |  5 Pagescentury. For an African American, the word â€Å"life† evolved from a word that meant absolutely nothing, to a word that stood for an individual’s highest commodity. After the civil war, emancipation for slaves transformed from a dream to a reality. Although the civil war finally ended in 1865 after four years of fighting, certain citizens and groups across the nation still remained in a state if disagreement with the freedom granted to African Americans. The years after the civil war revolutionizedRead MoreAfrican Americans And The Civil War1309 Words   |  6 PagesIn the summer of 1619, the fir st Africans were brought to Jamestown, Virginia not to live as free settlers but as subordinate slaves. They worked strenuously for Whites, who considered themselves superior to Africans, without much benefit. Racism is not just the belief that one race is superior to others, but the act of negatively identifying individuals based on the color of their skin. Attributing race to individual character has proven to have negative implications that are difficult to mend.Read MoreAfrican Americans And The Civil War1540 Words   |  7 Pageshistorical backdrop of the United States, African Americans have dependable been victimized. When Africans first came to America, they had no choice but to be slaves. The progressed toward becoming slaves to the rich, covetous, lethargic Americans. African Americans had given no compensation and regularly whipped and beaten. They battled for their opportunity, yet when the Civil War came African Americans had this logic that if they were to join the Ci vil War they could liberate all slaves. HoweverRead MoreAfrican Americans And The Civil War859 Words   |  4 Pagesslavery, predominately in the American South, African-Americans were finally set free from bondage. The fourteenth and fifteenth amendments quickly followed, granting citizenship to â€Å"all persons born or naturalized in the United States† and granting African American men the right to vote, respectively. Naturally, Americans denoted these momentous legislative feats, collectively packaged as the Reconstruction Amendments, as a means of celebration for African-Americans. However, in order to rectifyRead MoreAfrican Americans in the Civil War1971 Words   |  8 PagesAnderson HIST 3060 February 25, 13 African Americans and the Civil War The role African Americans played in the outcome, and the road to the outcome of the Civil War was immense. The fact that the south had slaves and the north did not played an enormous role in the issues. The north wanted to abolish slavery, and the south did not and after the war started this became one of the main reasons for the Civil War. Since most African Americans could not read or write, this made them an easyRead MoreAfrican Americans And The Civil War971 Words   |  4 PagesAfter the civil war African Americans hoped that the world they lived in would be an equal one; little did they know they had more struggles to conquer. Three major amendments were passed to provide African Americans with equality; the 13th amendment officially and finally put an end to slavery and any future involuntary servitude, the 14th amendment states that colored men and women were given citizenship, and the 15th amendment gave black men the right to vote. Although these amendments were passed

Comparing Roman and Greek Art Essay example - 1185 Words

Comparing Roman and Greek Art Throughout history art has consistently reflected the cultural values and social structures of individual civilizations. Ancient art serves as a useful tool to help historians decipher some important aspects of ancient culture. From art we can determine the basic moral and philosophical beliefs of many ancient societies. The differences in arts purpose in Greece and Rome, for example, show us the fundamental differences in each cultures political and moral system. The primary objective of Greek art was to explore the order of nature and to convey philosophical thought, while Roman art was used primarily as a medium to project the authority and importance of the current ruler and the greatness of†¦show more content†¦The Protogeometric and Geometric periods are good examples of such advanced thinking. The beginnings of the Protogeometric period display a distinct interest in mathematical order. During this period, artists decorated vases with circles and symmetrical pat terns. As the dominant style changed from Protogeometric to Geometric, this order and precision was amplified. The popular ?circle and semicircle patterns were replaced by linear designs, zigzags, triangles, diamonds, and meanders? (Cunningham, 40). The increased interest in order seems to have been a reflection of the Greek fascination with nature, and man?s relationship to nature. This interest in the order of nature eventually evolved into a fascination with the human form and the idea of human perfection. The way in which the perfect human form was portrayed by Greek artists was of a highly intellectual nature. The early sculptors of the period explored basic human anatomy and its aesthetic value, creating such sculptures as the Kritios Boy, of the Acropolis. The precision and realism of this sculpture captured a more accurate portrayal of the human form than ever before seen. This accomplishment in itself showed strong advancements in intellectual thought, and inspired future generations to further explore aesthetic and order. Artist such as Polyclitius later envisioned human perfection as a series of mathematical proportions. TheShow MoreRelatedGreek And Roman Ideas778 Words   |  4 Pages Greek and Roman Ideals When considering the ancient Greek and Roman ideals you can see the distinct similarities in their art, government, monotheism, and architecture. The Romans duplicated many of the Greek styles and modified them to suit their lifestyles. Greece and Rome influences can be seen in art today with the use of concepts, techniques, and styles that were founded by the Greek classical ideal. These include techniques for carving sculptures and the construction of massive metropolitanRead MoreCompare Contrast Greek and Roman Art Essay651 Words   |  3 PagesCompare Contrast Greek And Roman Art And Architecture Compare/Contrast Greek and Roman Art and Architecture Since the onset of Greek and Roman civilizations centuries ago we have seen the art and architectural worlds evolve into what we know them as today. In fact, many of the ancient Greek styles were duplicated by the Romans and modified to suit their needs. We can still see a lot of Greek and Roman influences in the present day, especially in the architectural world. Below I will cite someRead MoreComparing Greek and Roman Architecture Essay782 Words   |  4 PagesWhen comparing Greek and Roman architecture and design we see many similarities as well as differences. Greek culture and society came into fruition roughly 1250 years before the rise of the Roman Empire and Roman artisans were strongly inï ¬â€šuenced by their Greek predecessors. However, the Greeks were not without their own inï ¬â€šuences. Egyptian building styles and art were reï ¬ ned by the Greeks as seen in their use of column and lintel construction. It is notable that inï ¬â€šuence from Persia and the AncientRea d MoreThe Influence of the Greeks and Romans on Architecture894 Words   |  4 Pagesclassical roots and it goes without saying that the Romans and Greeks have influenced art and architecture with its classical style in a number of different ways. Allow me to give a definition for the word classical. â€Å"Classical† refers to any art or architecture modelled after ancient Roman or Greek styles. In this essay I will be discussing what the word architecture means in architecture, tracing its origins through Greek and Roman civilisation and comparing the key similarities of these two differentRead More Ancient Egyptian Greek and Roman Stele Essay1249 Words   |  5 PagesAncient Egyptian Greek and Roman Stele Just as we use tombstones to mark graves and commemorate our dead, so too did ancient civilizations. One way to do so in the ancient world was through the use of steles. A stele is a stone slab, usually decorated in relief and inscribed, that honored the death of a person. Three of the ancient cultures that had implemented the use of the stele were the Egyptians, Greeks, and Romans. In comparing an example from each civilization, it is possible to seeRead MoreTopics in Cultural Studies1250 Words   |  5 PagesAbstract When comparing and contrasting the cultures of Greek and Roman civilization, there are many noted similarities and differences. This paper will focus on a few of the prominent features and attempt to define the differences, while noting the similarities. INTRODUCTION TO THE HUMANITIES Compare and contrast distinguishing elements and features of early Greek and Roman cultures, to include: * Government * Geographical Terrain * Economic and Trade practices * Art and Architecture Read MoreMuseum Report: Sarcophagus with Scenes from the Life of Achilles963 Words   |  4 Pagessome details to his garments. II. This work of art has a three-dimensional form. The front section is highly polished and has a very smooth texture. The right and left sections have some damages; therefore, their textures are rough. The space on the front and right sections is fully used. Their scenes are very dynamic. The proportions of some figures were not completely observed. For example, horses on the relief in the front are very small comparing to humans. Another example is the man on the leftRead MoreEssay about ITW1 Task 1 1121304 Words   |  6 Pagesï » ¿ ITW1 Task 1 Literature, Arts and the Humanities: Analysis and Interpretation Comparing Classical and Middle Age Art Periods 112.1.2 The Fourth and Fifth centuries brought the Classical Art period to Greece. This was a very significant period for Greek art. Before this time, art lacked dimension and intensity, but the onset of the classical period brought with it influential architecture, vase paintings and sculptures, giving life to its subjects. Many modern day artists draw their creativeRead MoreCan Beauty Stand The Test Of Time?1379 Words   |  6 Pagesage old question that can be examined by comparing two works of art in different mediums from the Renaissance period and show how they share a common theme of beauty. The first piece is an exquisite painting by Sandro Botticelli, titled Birth of Venus, which shows a nude Venus entering the mortal world on a shell. The second work is a poem by Publius Ovidius Naso (known as Ovid), called The Art of Beauty, that demonstrates why it is important for Roman women to wear make-up and also directs howRead MoreRenaissance Humanism : The Renaissance1209 Words    |  5 Pagessituated in a land that was formally the Roman Empire, and its economic links to lands of heavy Greek influence Renaissance humanism was able to take root and become the leading ideology which drive this remarkable epoch. Renaissance humanism generated a deeper and more all-embracing appreciation of Greco-Roman antiquity, it advanced the recovery and uncensored study of the entire body of Greek and Latin manuscripts and the self-conscience imitation of classical art. Renaissance humanist regarded classical

Analysis Report Dazzling Costumes Information System

Question: Describe the Dazzling Costumes Information System? Answer: Introduction The report is describing the Dazzling Costumes Information System. Dazzling Costumes Information System works on hiring of clothing items to their customers. The report is describing the complete management system of Dazzling Costumes by using UML, ER Diagrams, Data Flow Diagrams and 3NF notations. Context Diagram The Context diagram shows the dataflow of the complete system graphically. It is the starting phase of any project. The analysis and design of any new system starts with the implementation of Context diagram. Level 0 DFD The Level 0 DFD shows the dataflow of every process graphically. It is very important phase of any project. The complete system can be easily understood by the Level 0 DFD diagram. (Modern Analyst Media LLC 2014) ER Diagram 3NF Design Customer (CustomerID, firstName, lastName, date_of_birth, gender, address, email) CustomerID - Primary Key (PK) Designation (DesignationID, Description) DesignationID - Primary Key (PK) Employee (EmployeeID, Name, Address, Phone, DesignationID, Email) EmployeeID - Primary Key (PK) Employee(DesignationID) references Designation(DesignationID) Item (ItemCode, Name, Brand, Description, Status) ItemCode - Primary Key (PK) ItemPiece (ItemCode, ItemPieceCode, Name, dateofpurchase, costofpurchase, Size, Colour, Description, Status) ItemCode, ItemPieceCode - Primary Key (PK) ItemPiece(ItemCode) references Item(ItemCode) HireItem (CustomerID, ItemCode, ItemPieceCode, hiredDate, dueDate, returnedDate, EmployeeID) CustomerID ,ItemCode, ItemPieceCode - Primary Key (PK) HireItem(ItemCode) references Item(ItemCode) HireItem(ItemPieceCode) references ItemPiece(ItemPieceCode) HireItem(CustomerID) references Customer(CustomerID) (Peter Brombarg n.d) 3NF design and ER Diagram are showing all relations, their primary and foreign keys also. All entities of the system are in 3NF and the analysis and design of the Dazzling Costumes Information System is giving full detail regarding the Dazzling Costumes Information System. Class Diagram Class diagram is very important to implement the Dazzling Costumes Information System. It is the conceptual model which shows all entities and attributes of the entire system. It is describing all constrains in the system for all cases in spite of showing the solution of the problems which will occur in the Dazzling Costumes Information System. (Scott W. Ambler, 2014) (Microsoft 2015) Overview The report is showing all necessary diagrams to make Dazzling Costumes Information System. The basic unit Context diagram and DFD diagram are showing the system boundary. The class diagram is showing all entities which will be generated to make Dazzling Costumes Information System. 3NF design is showing all relations, their primary and foreign keys also. All entities of the system are in 3NF and the analysis and design of the Dazzling Costumes Information System is giving full detail regarding the Dazzling Costumes Information System. All entities of the system are satisfying the 3NF form because every entity is related to each other and none column contains duplicate data in any relation. All columns in each table depend only upon the primary key. In this way the complete Dazzling Costumes Information System is being described by the report. System Changeover Methods System changeover method is the process which is used to change the previous system by new system. These are some System Changeover methods e.g. Direct Cutover Changeover Method, Parallel Operation Changeover Method, Pilot Operation Changeover Method and Phased Operation Changeover Method. Direct Cutover In direct operation, old system immediately gets changed by the new system after implementation of the new system. It is the financially cheapest method among all the changeover methods, but it is very risky method. There are lot of chances to lose the important data. Parallel Operation In parallel operation, the old system does not get immediately changed by the new system. The old system runs in parallel to the new system and when the new system runs successfully and staff members get comfortable with the new system, then the old system get replaced by the new system. It is more expensive than direct cutover because two systems runs at a time but it is safer than direct cutover. Pilot Operation In pilot operation, the new system gets implemented on one location of the company and some staff members operation the new system. The team of staff members who operate the new system is called Pilot. When the pilot team pass the new system, then the new system gets implemented on all locations and old system gets replaced with the new system. Phased Operation Phased operation works in stages. The whole system does not implemented in the company for all staff members. The implementation of some phases of the new system is done only. The whole system gets installed only for few staff members. The phased operation is the combination of direct cutover and parallel operation. Now for Dazzling Costumes Information System, the pilot operation changeover method is best because there is less risk factor in pilot operation. It is secure for the Dazzling Costumes. Staff members will get enough time to learn the new system in pilot operation changeover method. (Hearst Newspapers LLC 2015) References [1] Modern Analyst Media LLC 2014, Intervies Questions for Business Analysts and System Analysts, Viewed on 22nd Jan 2015 https://www.modernanalyst.com/Careers/InterviewQuestions/tabid/128/ID/1433/What-is-a-Context-Diagram-and-what-are-the-benefits-of-creating-one.aspx [2] Scott W. Ambler 2014, UML2 Class Diagrams: An Agile Introduction, Viewed on 22nd Jan 2015 https://www.agilemodeling.com/artifacts/classDiagram.htm [3] Microsoft 2015, UML Class Diagrams: Reference, Viewed on 22nd Jan 2015 https://msdn.microsoft.com/en-us/library/dd409437.aspx [4] Peter Brombarg n.d., SQL SERVER Database Normalization Basics for Developers, Viewed on 22nd Jan 2015 https://www.nullskull.com/a/1629/sql-server-database-normalization-basics-for-developers.aspx [5] Hearst Newspapers LLC 2015, Changeover Techniques, Viewed on 22nd Jan 2015 https://smallbusiness.chron.com/changeover-techniques-34890.html

Pretextual Discourses Constructivism In The Works Essay Example For Students

Pretextual Discourses: Constructivism In The Works Essay Of SpellingPretextual Discourses: Constructivism in the works of Spelling1. Spelling and Derridaist readingSociety is fundamentally meaningless, says Sartre. Many narratives concerning the role of the participant as poet may be discovered. But Foucault uses the term constructivism to denote the futility, and some would say the failure, of dialectic art. The subject is contextualised into a postcapitalist textual theory that includes culture as a paradox. However, Sartres analysis of constructivism implies that class has significance. Lacan promotes the use of Baudrillardist simulacra to challenge sexism. Thus, in Robins Hoods, Spelling analyses constructivism; in Melrose Place he denies neosemantic feminism. 2. Discourses of meaninglessnessThe primary theme of the works of Rushdie is a mythopoetical whole. The main theme of Baileys3 critique of the posttextual paradigm of concensus is the paradigm, and hence the absurdity, of semioticist sexuality. However, von Junz4 implies that we have to choose between the posttextual paradigm of narrative and materialist neotextual theory. Sexual identity is used in the service of colonialist perceptions of society, says Marx. The subject is interpolated into a posttextual paradigm of concensus that includes consciousness as a totality. In a sense, Debord promotes the use of preconceptual capitalism to modify sexuality. Class is fundamentally dead, says Foucault; however, according to Tilton5 , it is not so much class that is fundamentally dead, but rather the economy, and some would say the defining characteristic, of class. Any number of theories concerning the bridge between narrativity and class exist. But if semioticist theory holds, we have to choose between the posttextual paradigm of concensus and the capitalist paradigm of expression. If one examines preconceptual capitalism, one is faced with a choice: either reject semioticist theory or conclude that sexuality is used to marginalize the Other. The primary theme of the works of Pynchon is the role of the observer as artist. It could be said that Debord suggests the use of the posttextual paradigm of concensus to deconstruct hierarchy. The main theme of Druckers6 analysis of preconceptual capitalism is the fatal flaw, and subsequent absurdity, of prepatriarchialist sexual identity. Lyotards model of the posttextual paradigm of concensus suggests that the goal of the participant is deconstruction, given that preconceptual capitalism is invalid. But many narratives concerning semioticist theory may be revealed. Reicher7 implies that we have to choose between Lacanist obscurity and cultural discourse. It could be said that the example of semioticist theory prevalent in Smiths Mallrats emerges again in Chasing Amy, although in a more neosemiotic sense. Sontag uses the term preconceptual capitalism to denote a mythopoetical paradox. But in Clerks, Smith analyses the posttextual paradigm of concensus; in Dogma, although, he examines preconceptual capitalism. The characteristic theme of the works of Smith is not dematerialism per se, but predematerialism. Thus, Lyotard uses the term semioticist theory to denote a self-falsifying whole. If the posttextual paradigm of concensus holds, we have to choose between capitalist feminism and subpatriarchialist theory. It could be said that the subject is contextualised into a semioticist theory that includes language as a reality. Lacan uses the term preconceptual capitalism to denote the economy, and eventually the absurdity, of capitalist sexual identity. In a sense, several desublimations concerning the common ground between society and class exist. The premise of posttextual cultural theory holds that narrative comes from the masses. Thus, Bataille uses the term the posttextual paradigm of concensus to denote a neotextual whole. 3. Smith and preconceptual capitalismSexuality is unattainable, says Derrida. The collapse, and some would say the meaninglessness, of the posttextual paradigm of concensus intrinsic to Smiths Clerks is also evident in Chasing Amy. .u281634880adf0f141e78f22bc35db9e9 , .u281634880adf0f141e78f22bc35db9e9 .postImageUrl , .u281634880adf0f141e78f22bc35db9e9 .centered-text-area { min-height: 80px; position: relative; } .u281634880adf0f141e78f22bc35db9e9 , .u281634880adf0f141e78f22bc35db9e9:hover , .u281634880adf0f141e78f22bc35db9e9:visited , .u281634880adf0f141e78f22bc35db9e9:active { border:0!important; } .u281634880adf0f141e78f22bc35db9e9 .clearfix:after { content: ""; display: table; clear: both; } .u281634880adf0f141e78f22bc35db9e9 { display: block; transition: background-color 250ms; webkit-transition: background-color 250ms; width: 100%; opacity: 1; transition: opacity 250ms; webkit-transition: opacity 250ms; background-color: #95A5A6; } .u281634880adf0f141e78f22bc35db9e9:active , .u281634880adf0f141e78f22bc35db9e9:hover { opacity: 1; transition: opacity 250ms; webkit-transition: opacity 250ms; background-color: #2C3E50; } .u281634880adf0f141e78f22bc35db9e9 .centered-text-area { width: 100%; position: relative ; } .u281634880adf0f141e78f22bc35db9e9 .ctaText { border-bottom: 0 solid #fff; color: #2980B9; font-size: 16px; font-weight: bold; margin: 0; padding: 0; text-decoration: underline; } .u281634880adf0f141e78f22bc35db9e9 .postTitle { color: #FFFFFF; font-size: 16px; font-weight: 600; margin: 0; padding: 0; width: 100%; } .u281634880adf0f141e78f22bc35db9e9 .ctaButton { background-color: #7F8C8D!important; color: #2980B9; border: none; border-radius: 3px; box-shadow: none; font-size: 14px; font-weight: bold; line-height: 26px; moz-border-radius: 3px; text-align: center; text-decoration: none; text-shadow: none; width: 80px; min-height: 80px; background: url(https://artscolumbia.org/wp-content/plugins/intelly-related-posts/assets/images/simple-arrow.png)no-repeat; position: absolute; right: 0; top: 0; } .u281634880adf0f141e78f22bc35db9e9:hover .ctaButton { background-color: #34495E!important; } .u281634880adf0f141e78f22bc35db9e9 .centered-text { display: table; height: 80px; padding-left : 18px; top: 0; } .u281634880adf0f141e78f22bc35db9e9 .u281634880adf0f141e78f22bc35db9e9-content { display: table-cell; margin: 0; padding: 0; padding-right: 108px; position: relative; vertical-align: middle; width: 100%; } .u281634880adf0f141e78f22bc35db9e9:after { content: ""; display: block; clear: both; } READ: Business Ethics Essay But Marx uses the term cultural deconstructivism to denote not, in fact, narrative, but subnarrative. In the works of Smith, a predominant concept is the concept of postdialectic reality. The primary theme of Buxtons8 analysis of the posttextual paradigm of concensus is the collapse, and thus the rubicon, of capitalist society. In a sense, Bataille uses the term preconceptual capitalism to denote the difference between sexual identity and narrativity. In Material Girl, Madonna affirms the posttextual paradigm of concensus; in Sex she deconstructs neostructuralist situationism. It could be said that McElwaine9 implies that we have to choose between preconceptual capitalism and the predialectic paradigm of concensus. Any number of narratives concerning semioticist theory may be discovered. Therefore, Marx promotes the use of the posttextual paradigm of concensus to read and analyse class. If preconceptual capitalism holds, we have to choose between semioticist theory and textual theory. However, the subject is interpolated into a Lacanist obscurity that includes sexuality as a reality. Many narratives concerning not theory as such, but neotheory exist. It could be said that Dietrich10 states that we have to choose between the posttextual paradigm of concensus and postdialectic discourse.

Generic Visual Perception Processor free essay sample

The generic visual perception processor (GVPP) has been developed after 10 long years of scientific effort . Generic Visual Perception Processor (GVPP) can automatically detect objects and track their movement in real-time  . The GVPP, which crunches 20 billion instructions per second (BIPS), models the human perceptual process at the hardware level by mimicking the separate temporal and spatial functions of the eye-to-brain system. The processor sees its environsment as a stream of histograms regarding the location and velocity of objects. GVPP has been demonstrated as capable of learning-in-place to solve a variety of pattern recognition problems. It boasts automatic normalization for varying object size, orientation and lighting conditions, and can function in daylight or darkness. This electronic eye on a chip can now handle most tasks that a normal human eye can. That includes driving safely, selecting ripe fruits, reading and recognizing things. Sadly, though modeled on the visual perception capabilities of the human brain, the chip is not really a medical marvel, poised to cure the blind Introduction of  GVPP The GVPP tracks an object, defined as a certain set of hue, luminance and saturation values in a specific shape, from frame to frame in a video stream by anticipating where its leading and trailing edges make differences with the background. We will write a custom essay sample on Generic Visual Perception Processor or any similar topic specifically for you Do Not WasteYour Time HIRE WRITER Only 13.90 / page That means it can track an object through varying light sources or changes in size, as when an object gets closer to the viewer or moves farther away. The GVPPS major performance strength over current-day vision systems is its adaptation to varying light conditions. Todays vision systems dictate uniform shadow less illumination ,and even next generation prototype systems, designed to work under â€Å"normal† lighting conditions, can be used only dawn to dusk. The GVPP on the other hand, adapt to real time changes in lighting without recalibration, day or light. For many decades the field of computing has been trapped by the limitations of the traditional processors. Many futuristic technologies have been bound by limitations of these processors . These limitations stemmed from the basic architecture of these processors. Traditional processors work by slicing each and every complex program into simple tasks that a processor could execute. This requires an existence of an algorithm for solution of the particular problem. But there are many situations where there is an inexistence of an algorithm or inability of a human to understand the algorithm. Even in these extreme cases GVPP performs well. It can solve a problem with its neural learning function. Neural networks are extremely fault tolerant. By their design even if a group of neurons get, the neural network only suffers a smooth degradation of the performance. It wont abruptly fail to work. This is a crucial difference, from traditional processors as they fail to work even if a few components are damaged. GVPP recognizes stores , matches and process patterns. Even if pattern is not recognizable to a human programmer in input the neural network, it will dig it out from the input. Thus GVPP becomes an efficient tool for applications like the pattern matching and recognition HOW IT WORKS: Basically the chip is made of neural network modeled resembling the structure of human brain. The basic element here is a neuron. There are large number of input lines and an output line to a neuron. Each neuron is capable of implementing a simple function. It takes the weighted sum of its inputs and produces an output that is fed into the next layer. The weights assigned to each input are a variable quantity. A large number of such neurons interconnected form a neural network. Every input that is given to the neural network gets transmitted over entire network via direct connections called synaptic connections and feed back paths. Thus the signal ripples in the neural network, every time changing the weighted values associated with each input of every neuron. These changes in the ripples will naturally direct the weights to modify into those values that will become stable . That is, those values does not change. At this point the information about the signal is stored as the weighted values of inputs in the neural network. A neural network geometrizes computation. When we draw the state diagram of a neural network, the network activity burrows a trajectory in this state space. The trajectory begins with a computation problem. The problem specifies initial conditions which define the beginning of trajectory in the state space.

Third Twin Essays - I Dream Of Jeannie, The Third Twin, Jeannie

Third Twin The Third Twin by Ken Follett is a type of mystery book. It makes you look at different aspects of the story. When you think you know what's happening it is not always what you think. Dr. Jeannie Ferrami, a scientist funded by a university who is doing a study on twins is one of the main characters in the story. Jeannie Ferrami is tall with long brown hair and is also very athletic. Steve Logan a student at another college is also a very important character in the story. Berrington Jones the head of the college funds Dr. Jeannie Ferrami until Jeannie discovers something Berrington didn't want her to know. Ricky Phillips Berrington's son is a twin just and he plays a small part but with a big impact on the story. Lisa Miller who is Jeannie's best friend comes early into the story playing a very dramatic role, another small character is Dennis Pinker one of the twins in the story who is a murderer and is also being studied He is one of Steve Logan's twin brothers. Lisa Miller and Jeannie Ferammi are play tennis at the university they work for while changing in the locker room a fire breaks out in which Lisa is caught. Ricky Phillips poses as a security guard and ushers the woman out of the locker room all except Lisa who he rapes in the locker room. Soon after Ricky leaves Jeannie enters the locker room looking for Lisa who she finds unconscious and calls the firemen to help her get Lisa out. Lisa then ends up at the police station filing a report and giving a description of the man whom raped her. The next day Jeannie finds a match in the system she created to help aid her in her search for twins. In her research Jeannie is trying to prove that twins have the same behavior patterns as other twins. In Jeannie's system she came up with Steve Logan and Dennis Pinker and found out Steve Logan was a model student at a college campus across town and Dennis Pinker was a convicted murderer at a state prison. Dr. Jeannie Ferrami contacts Steve Logan and Dennis Pinker. Steve Logan shows up to Jeannie's office not knowing what to expect he doesn't know that he has a twin until Dr. Ferrami explains to him what she found based on her computer program. Jeannie then asks if he was adopted or if his mother put a child up for adoption Steve answers no, but then thinks to himself he might be adopted. Once Steve is done with the interview Dr. Ferrami tells him she will be visiting Dennis Pinker Steve's twin brother to further her research Once Steve gets home he goes to his room and thinks to himself what if I was adopted why did my mother keep it from me. Once Steve is called to the dinner table he immediately asks his mother if he is adopted, and when his mother tells him no he asks if he had a twin brother; once again she says no. Steve Logan is know confused, was Dr. Ferrami's computer program wrong. The next day Jeannie visits the jail where Dennis Pinker is and with one look she finds they are twins, with no doubt in her mind she feels as though they are twins. She soon discovers Steve Logan and Dennis Pinker are nothing alike but yet they look so much alike. When Jeannie is done interviewing Dennis she gets in her car and goes to a donut shop. Once at the donut shop she finds a tall dark haired man who she thinks is Steve Logan so they sit down and have coffee. Once done with the coffee Jeannie asks Steve if he wants a ride and he says sure. As Jeannie is driving on the highway Steve suddenly starts touching her when Jeannie tells him to stop he throws himself on her, then Jeannie makes a sharpe turn and throws The man out. Once Jeannie gets home she starts screaming and locks herself in her car where she calls the police. As Jeannie is calling the police Steve walks up to the window and asks what happened and she tells Steve to go away. Once the police arrive Jeannie wants Steve arrested but Steve says he hasn't did anything, and the neighbor walks out and asks what's happening Jeannie tells them Steve tried to rape her an hour ago. The neighbor

Alcoholism is a Disease free essay sample

In the U. S alone over 15 million people are currently affected by alcoholism. Alcoholism is a chronic and progressive disease that includes problems controlling your drinking, being preoccupied with alcohol, continuing to use alcohol even when it causes problems, having to drink more to get the same effect (physical dependence) or having withdrawal symptoms when you rapidly decrease or stop drinking. Alcoholism is a chemical disease because it breaks down differently in the stomach and has an entirely different effect on the brain of the alcoholic than on the non-alcoholic. The main organ involved with alcoholism is the brain. Alcohol interferes with the electrical charges of nerve cells that send messages to the brain about thoughts, feelings and learning. After chronic exposure to alcohol neurotransmitters are altered permanently and can also lead to brain shrinkage. Advanced states of alcoholism cause states of dementia psychosis and when their tolerance increases, alcoholics show signs of disorientation, paranoia and aggressiveness. We will write a custom essay sample on Alcoholism is a Disease or any similar topic specifically for you Do Not WasteYour Time HIRE WRITER Only 13.90 / page Heavy alcohol intake reduces some of the brains chemicals such as dopamine and serotonin. These chemicals give us the feeling of well-being and pleasure. At the same time alcohol releases chemicals that cause stress and depression. It is this chemical imbalance in the brain that may be responsible for alcoholism. Alcoholism is also progressive, which means it gets worse over time. Alcoholism causes biological, psychological, social and spiritual problems and as the disease progresses, the alcoholics ability to function daily declines. Personality changes are a result from neuropsychological impairments to the persons cognitive and affective functioning; they think, feel and behave differently than previously, but believe their functioning normally. Social or relationship problems arise within the family, the community and at work. Family life deteriorates to the point that treatment for family members is necessary for their own recovery. Another reason why alcoholism is a disease is because of genetics and environmental influences. It is estimated that 40-60% of the risk for developing any addiction, including alcoholism, is genetic. Studies with adoptees have shown that having a familial history of alcoholism increases the risk of developing an alcohol dependency. According to one study, having a familial history of alcoholism but being raised in a household without alcohol abusers still leads to a fivefold increase in the odds of becoming an alcoholic. However, environmental factors are still important the same study found a larger increase in the odds of becoming an alcoholic given both a family history of alcoholism and a pro- alcoholic environment. A persons surroundings can play a strong role on the road to potential alcohol abuse and alcoholism. An environment that promotes drinking can make it difficult for many people to avoid the temptations of drinking to excess. Opposing viewpoints argue that alcoholism is not a disease. One of the most common arguments against the disease of alcoholism is that the disease model is only useful for treating people who consider themselves alcoholics. Another claim is that excessive drinking can cause physical disease and involve physical dependence without therefore being a disease itself. It is also believed by skeptics that to be diagnosed with alcoholism means a person has to give up their identity as a normal person and take on the identity of someone with a disease. While all of these claims are understandable, there are faults within the claims that leaves â€Å"alcoholism is not a disease† an unsupported allegation. Alcoholism is described as a physical compulsion along with a mental obsession, which falls into the category of addiction. Addiction has been proven to be a brain disease, as mentioned earlier in this article the brain is the organ that goes hand in hand with alcoholism. The brain is what makes one crave an alcoholic beverage, it’s what causes one to have extreme withdrawal effects when the desire for alcohol is unmet. Alcoholism is an addiction, and addiction is a brain disease. Also, the belief that the alcoholics complex turns from a â€Å"normal† identity to a â€Å"diseased† identity is illogical. Diabetes is a disease, Aids is a disease and those who carry those diseases don’t let it define them or their lives. Alcoholism is a chronic and progressive disease that includes problems controlling your drinking, being preoccupied with alcohol, continuing to use alcohol even when it causes problems, having to drink more to get the same effect (physical dependence) or having withdrawal symptoms when you rapidly decrease or stop drinking. If alcoholism continues to be overlooked as a disease, we will continue to have over 80,000 deaths a year in the U. S from the excessive alcohol use. If you or someone you know is suffering from alcoholism, don’t let them remain untreated. There are several ways of curing this disease such as therapy, counseling and medications. Alcoholism is a disease and should/can be treated as such. Work Cited

The Productivity of Information Technology Essay Example

The Productivity of Information Technology Essay Example The Productivity of Information Technology Essay The Productivity of Information Technology Essay THE PRODUCTIVITY OF INFORMATION TECHNOLOGY: Review and Assessment Erik Brynjolfsson CCS TR #125 December, 1991 This research was sponsored by the MIT Center for Coordination Science, the MIT International Financial Services Research Center, and the Sloan Foundation. Special thanks are due Michael Dertouzos and Tom Malone for encouraging me to pursue this topic as part of a study group at the MIT Laboratory for Computer Science. I would like to thank Ernie Berndt, Geoffrey Brooke, and Chris Kemerer for valuable comments and Marshall Van Alstyne and Peter Perales for excellent research assistance. Only I am responsible for any remaining deficiencies The Productivity of Information Technology: Review and Assessment Erik Brynjolfsson Abstract Productivity is the bottom line for any investment. The quandary of information technology (IT) is that, despite astonishing improvements in the underlying capabilities of the computer, its productivity has proven almost impossible to assess. There is an increasing perception that IT has not lived up to its promise, fueled in part by the fact that the existing empirical literature on IT productivity generally has not identified significant productivity improvements. However, a careful review, whether at the level of the economy as a whole, among information workers, or in specific manufacturing and service industries, indicates that the evidence must still be considered inconclusive. It is premature to surmise that computers have been a paradoxically unwise investment. A puzzle remains in the inability of both academics and managers to document unambiguously the performance effects of IT. Four possible explanations are reviewed in turn: mismeasurement, lags, redistribution and mismanagement. The paper concludes with recommendations for investigating each of these explanations using traditional methodologies, while also proposing alternative, broader metrics of welfare that ultimately may be required to assess, and enhance, the benefits of IT. Keywords: Productivity, Computers, Performance measurement, Economic value, Investment justification. CONTENTS The Productivity Paradox A Clash of Expectations and Statistics . 1 Dimensions of the Paradox .. Economy-wide Productivity and Information Worker Productivity . . 7.. The Productivity of Information Technology Capital in Manufacturing 11 The Productivity of Information Technology Capital in Services . 15 Leading Explanations for the Paradox .. 19 Measurement Errors 20 Lags . 5 Redistribution .. 28 Mismanagement . . 229. 9. Con clusio. n.. 32 Summary . . . 32 Where Do We Go From Here? . 34 Tables and Graphs . .. 40 Bibliography . 4477. Information Technology and Productivity The Productivity Paradox A Clash of Expecta tions and Statistics The relationship between information technology (IT) and productivity is widely discussed but little understood. On one hand, delivered computing-power in the US economy has increased by more than two orders of magnitude in the past two decades (figure 1). On the other hand, roductivity, especially in the service sector, seems to have stagnated (figure 2). Given the enormous promise of IT to usher in the biggest technological revolution men have known (Snow, 1966), disillusionment and even frustration with the technology is increasingly evident in statements like No, computers do not boost productivity, at least not most of the time (Economist, 1990) and headlines like Computer Data Overload Limits Productivity Gains (Zachary, 1991) and Computers Arent Pulling Their Weight (Berndt Morrison, 1991a). The increased interest in the productivity paradox, as it has become known, has engendered a significant amount of research, but, thus far, this has only deepened the mystery. The results are aptly characterized by Robert Solows quip that we see computers everywhere except in the productivity statistics, and Bakos and Kemerers (1991) more recent summation that These studies have fueled a controversial debate, primarily because they have failed to document substantial productivity improvements attributable to information technology investments. Although similar conclusions are repeated by an alarming number of researchers in this area, we must be careful not to overinterpret these findings; a shortfall of evidence is not necessarily evidence of a shortfall. Nonetheless, given the increasing significance of IT in the budgets of most businesses and in the nation as a whole, continued investment cannot be justified by blind faith alone. Draft: 1/29/92 page 1 Information Technology and Pr oductivity This paper seeks to contribute to the research effort by summarizing what we know and dont know, by distinguishing the central issues from diversions, and by clarifying the questions that can be profitably explored in future research. After reviewing and assessing the research to date, it appears that the shortfall of IT productivity is at least as likely due to deficiencies in our measurement and methodological tool kit as to mismanagement by developers and users of IT. One can only conclude, as Attewell and Rule (1984) did in an earlier survey, that we still have much o learn about how to measure the effects of computers on organizations. While particular emphasis is placed on economic approaches to both theory and empirics in this review, it is hoped that the process of addressing the productivity mystery will prove to be a useful springboard for other methodologies as well and for examining the broader issues involved. As a prelude to the literature survey, it is useful to define some of the terms used and to highlight some of the basic trends in the economics of IT. Definitions: * Information technology can be defined in various ways. Among the most common is the category Office, Computing and Accounting Machinery of the US Bureau of Economic Analysis (BEA) which consists primarily of computers. Some researchers use definitions that also include communications equipment, instruments, photocopiers and related equipment, and software and related services. * Labor productivity is calculated as the level of output divided by a given level of labor input. Multifactor productivity (sometimes more ambitiously called total factor productivity) is calculated as the level of output for a given level of several inputs, typically labor, capital and materials. In principle, multifactor productivity is a better guide to the efficiency of a firm or industry because it adjusts for shifts among inputs, such as an increase in capital intensity, but lack of data can make this consideration moot. Draft: 1/29/92 page 2 Information Technology and Productivity * In pr oductivity calculations, output is defined as the number of units produced times their unit value, proxied by their real price. Establishing the real price of a good or service requires the calculation of individual price deflators, often using hedonic methods, that eliminate the effects of inflation without ignoring quality changes. Trends: * The price of computing has dropped by half every 2-3 years1 (figure 3a and figure 3b). If progress in the rest of the economy had matched progress in the computer sector, a Cadillac would cost $4. 98, while ten minutes labor would buy a years worth of groceries. 2 * There have been increasing levels of business investment in information technology equipment. These investments now account for over 10% of new investment in capital equipment by American firms3 (figure 4). * Information processing continues to be the principal task undertaken by Americas work force. Over half the labor force is employed in information-handling activities. (figure 5). * Overall productivity growth has slowed significantly since the early 1970s and measured productivity growth has fallen especially sharply in the service sector, which consumes over 80% of IT (figure 2). * White collar productivity statistics have been essentially stagnant for 20 years. figure 6) 1 In the last 35 years, the quality-adjusted costs of computing have decreased by over 6000-fold relative to equipment prices outside the computer sector [Gordon, 1987]. This relationship has been dubbed Moores Law after John Moore who first documented the trend in microprocessors. It is widely projected to continue at least into the next century. 2 This comparison was inspired by the slightly exaggera ted claim in Forbes, [, 1980 #279], that If the auto industry had done what the computer industry has done, Rolls-Royce would cost $2. 50 and get 2,000,000 miles to the gallon. The $4. 98 Cadillac is based on a price of $30,890 for a 1991 Sedan de Ville divided by 6203, the relative deflator for computers. The grocery comparison is based on a wage of $10 an hour and $10,000 worth of groceries, each in actual 1991 dollars. 3 Some studies estimate that as much as 50% of recent equipment investment is in information technology [Kriebel, 1989 #417]. This higher figure seems to be partly due to a broader definition of IT. A discrepancy also arises when recent investments are expressed in 1982 dollars, when IT was relatively more expensive. This has the effect of boosting ITs real share over time faster than its nominal share grows. Draft: 1/29/92 page 3 Information Technology and Productivity These facts suggest two central questions, which comprise the productivity paradox: 1) Why are companies investing so heavily in information technology if it doesnt add to productivity? ) If information technology is contributing to productivity, why have we been unable to measure it? In seeking to answer these questions, this paper builds on a number of previous literature surveys. Much of the material in section III is adapted from an earlier paper with Bruce Bimber (Brynjolfsson Bimber, 1990) which also included an annotated bibliography of 104 related articles and a summary of six explanations for the productivity paradox from outside the economics literature. An earlier study by Crowston and Treacy (1986), identified 11 articles on the impact of IT on enterprise level performance by searching ten journals from 1975 to 1985. They conclude that there had been surprisingly little success in measuring the impact of IT and attribute this to the lack of clearly defined variables which in turn stems from an inadequacy of suitable reference disciplines and methodologies. One natural reference discipline is economics and an excellent review of recent research combining information systems and economics, by Bakos and Kemerer (1991), includes particularly relevant work in sections on macroeconomic impacts of information technology and information technology and organizational performance. Because statistical work is central to the majority of the approaches to assessing IT productivity, another very useful survey is Gurbaxani and Mendelsons (1989) paper on the use of data from secondary sources in MIS research. In addition to summarizing the work that has already been done, they make a convincing case that using pre-compiled data sets has significant advantages over starting de novo with original data, as has been the more common practice among MIS researchers. Finally, many of the papers that seek to directly Draft: 1/29/92 page 4 Information Technology and Productivity assess IT productivity begin with a literature survey. The reviews by Brooke (1991), Barua, Mukhopadhyay and Kriebel (1991), and Berndt and Morrison (1991b) were particularly useful. Although over 150 articles were considered in this review, it cannot claim to be comprehensive. Rather, it aims to clarify for the reader the principal issues surrounding IT and productivity, reflecting the results of a computerized literature search of 30 of the leading journals in both information systems and economics,4 and more importantly, discussions with many of the leading researchers in this area, who helped identify recent research that has not yet been published. The remainder of the paper is organized as follows. The next section summarizes the empirical research that has attempted to measure the productivity of information technology. Section III classifies the explanations for the paradox into four basic categories and assesses the components of each in turn. Section IV concludes with summaries of the key issues identified and some avenues for further research. Dimensions of the Paradox Productivity is the fundamental measure of a technologys contribution. With this in mind, CEOs and line managers have increasingly begun to question their huge investments in computers and related technologies (Loveman, 1988). While major success 4 The journals searched included American Economic Review, Bell (Rand) Journal of Economics, Brookings Papers on Economics and Accounting, Econometrica, Economic Development Review, Economica, Economics Journal, Economist (Netherlands), Information Economics Policy, International Economics Review, Journal of Business Finance, Communications of the ACM, Database, Datamation, Decision Sciences, Harvard Business Review, IEEE Spectrum, IEEE Transactions on Engineering Management, IEEE Transactions on Software Engineering, Information Management, Interfaces, Journal of Systems Management, Management Science, MIS Quarterly, Operations Research, and Sloan Management Review. Articles were selected if they indicated an emphasis on computers, information systems, information technology, decision support systems, expert systems, or high technology combined with an emphasis on productivity. Draft: 1/29/92 page 5 Information Technology and Productivity stories exist, so do equally impressive failures (see, for example (Kemerer Sosa, 1990; Schneider, 1987)). The lack of good quantitative measures for the output and value created by information technology has made the MIS managers job of justifying investments particularly difficult. Academics have had similar problems assessing the contributions of this critical new technology, and this has been generally interpreted as a negative signal of its value. The disappointment in information technology has been chronicled in articles disclosing broad negative correlations with economy-wide productivity and information worker productivity. Econometric estimates have also indicated low IT capital productivity in a variety of manufacturing and service industries. The principal empirical research studies of IT and productivity are listed in table 1. Draft: 1/29/92 page 6 Information Technology and Productivity Table 1: Principal Empirical Studies of IT and Productivity Economy-wide Cross-sector or (Jonscher, 1983; Jonscher, 1988) (Baily Chakrabarti, 1988; Baily, 1986b; Baily Gordon, 1988) (Roach, 1987a; Roach, 1988; Roach, 1989b) (Brooke, 1991) (Osterman, 1986) (Grove, 1990) (Dos Santos, Peffers Mauer, 1991) Manufacturing (Berndt Morrison, 1991b) (Siegel Griliches, 1991) (Loveman, 1988) (Weill, 1988) (Dudley Lasserre, 1989) (Morrison Berndt, 1990) (Barua, Kriebel Mukhopadhyay, 1991) Services (Cron Sobol, 1983) (Strassman, 1985) (Baily, 1986a) (Roach, 1991; Roach, 1987b; Roach, 1989a) (Noyelle, 1990) (Brand Duke, 1982) (Pulley Braunstein, 1984) (Bender, 1986) (Bresnahan, 1986) (Franke, 1987) (Harris Katz, 1988; Harris Katz, 1989) (Parsons, Gotlieb Denny, 1990) (Weitzendorf Wigand, 1991) Economv-wide Productivity and Information Worker Productivitv The Issue One of the core issues for economists in the past decade has been the productivity slowdown that began in the early 1970s. There has been a drop in labor productivity growth from about 2. 5% per year between 1953-1968 to about 0. 7% per year from 1973- 1979. Multi-factor productivity growth, which takes into account changes in capital, declined from 1. 75% a year to 0. 32% over the same periods (Baily, 1986b). Even after accounting for factors such as the oil price shocks, changes in labor quality and potential measurement errors, most researchers still find that there is an unexplained residual drop in Correlations Models II . w w If i Draft: 1/29/92 page 7 i Draft: 1/29/92 Information Technology and Productivity page 8 productivity as compared with the first half of the post-war period. The sharp drop in productivity roughly coincided with the rapid increase in the use of information technology (figure 1). Although recent productivity growth has rebounded somewhat, especially in manufacturing, the overall negative correlation between economy-wide productivity and the advent of computers is at the core of many of the arguments that information technology has not helped US productivity or even that information technology investments have been counter-productive (Baily, 1986b). This link is made more explicit in research by Stephen Roach (1987a; 1988) focusing specifically on information workers, regardless of industry. While in the past, office work was not very capital intensive, recently the level of information technology capital per (white collar) information worker has begun approaching that of (blue collar) production capital per production worker. Concurrently, the ranks of information workers have ballooned and the ranks of production workers have shrunk. Roach cites statistics indicating that output per production worker grew by 16. 9% between the mid- 1970s and 1986, while output per information worker decreased by 6. 6%. He concludes: We have in essence isolated Americas productivity shortfall and shown it to be concentrated in that portion of the economy that is the largest employer of white-collar workers and the most heavily endowed with high-tech capital. Roachs analysis provides quantitative support for widespread reports of low office productivity. 5 A more sanguine explanation is put forth by Brooke (1991). Although he confirmed a broad-level correlation with declines in productivity, he hypothesized that this was due to increases in product variety which resulted in commensurate reductions in economies of scale. This hypothesis was supported by his finding of a positive correlation 5 For instance, Lester Thurow has noted that the American factory works, the American office doesnt, citing examples from the auto industry indicating that Japanese managers are able to get more output from blue collar workers (even in American plants) with up to 40% fewer managers. III Information Technology and Productivity between IT investment and the number of trademark applications. Because variety generally has positive value to consumers, but is ignored by conventional measures of productivity, this finding suggests a measurement problem, which is explored more fully in below in the section on mismeasurement. Comment Upon closer examination, the alarming correlation between IT and lower productivity at the level of the entire US economy is not compelling because so many other factors affect output and therefore productivity. Until recently, computers were not a major share of the economy. Consider the following order of magnitude estimates. Information technology capital stock is currently equal to about 10% of GNP, or total output. If, hypothetically, IT were being used efficiently and its marginal product were 20% (exceeding the return to most other capital investments), then current GNP would be directly increased about 2% (10% x 20%) because of the existence of our current stock of IT. However, information technology capital stock did not jump to its current level in the past year alone. Instead, the increase must be spread over about 30 years, suggesting an average contribution to aggregate GNP growth of 0. 06% in each year. 6 This would be very difficult to isolate because so many other factors affected GNP, especially in the relatively turbulent 1970s and early 1980s. Indeed, if the marginal product of IT capital were anywhere from -20% to +40%, it would still not have affected aggregate GNP growth by more than about 0. 1% per year and productivity growth by even less. 7 6 In his comment on Baily and Gordon (1988), David Romer notes that a similar argument applies to almost any capital investment. 7 In dollar terms, each white collar worker is endowed with about $10,000 in IT capital, which at a 20% ROI, would increase his or her total output about by about $2000 per year as compared with pre-computer levels of output. Compare to the $100,000 or so in salary and overhead that it costs to employ this worker and the expectations for a technological silver bullet seem rather ambitious. Draft: 1/29/92 page 9 Information Technology and Productivity This is not to say that computers may not have had significant effects in specific areas, like transaction processing, or on other characteristics of the economy, like employment shares, organizational structure or product variety. Rather it suggests that very large changes in capital stock are needed to measurably change total output under conventional assumptions about typical rates of return. However, the growth in information technology stock is still strong and the share of the total economy accounted for by computers is becoming quite substantial. Presumably, if computers are productive, we should begin to notice changes at the level of aggregate GNP in the near future. As for the apparent stagnation in white collar productivity, one should bear in mind that relative productivity cannot be directly inferred from the number of information workers per unit output. For instance, if a new delivery schedule optimizer allows a firm to substitute a clerk for two truckers, the increase in the number of white collar workers is evidence of an increase, not a decrease, in their relative productivity and in the firms productivity as well. Osterman (1986) suggests that this is why clerical employment often increases after the introduction of computers and Berndt and Morrison (199lb) confirm that information technology capital is, on average, a complement for white collar labor even as it leads to fewer blue collar workers. Unfortunately, more direct measures of office worker productivity are exceedingly difficult. Because of the lack of hard evidence, Panko (1984; 1991) has gone so far as to call the idea of stagnant office worker productivity a myth, although he cites no evidence to the contrary. Independent of its implications for productivity, growth in the white collar work force cannot be entirely blamed on information technology. Although over 38% of workers now use computers in their jobs8, the ranks of information workers began to 8 According to the US National Center for Education Statistics, 38. 3% of persons in the 1989 Current Population Survey used computers at work, including nearly 60% of those with four or more years of college. Interestingly, Kreuger [, 1991 #411] finds that workers using computers are paid an average wage premium of 8%, even after controlling for education, computer literacy and other factors. Draft: 1/29/92 page 10 Information Technology and Productivity surge well before the advent of computers (Porat, 1977). Jonscher (1988) even goes so far as to argue that causality goes the other way: the increased demand for information enabled economies of scale and learning in the computer industry, thereby reducing costs. These mitigating factors notwithstanding, the low measured productivity at the level of the whole economy and among white collar workers, especially in the face of huge increases in the accompanying capital stock, does call for closer scrutiny. A more direct case for weakness in information technologys contribution comes from the explicit evaluation of information technology capital productivity, typically by estimating the coefficients of a production function. This has been done in both manufacturing and service industries, and we review each in turn. The Productivity of Information Technology Capital in Manufacturing The Issues There have been at least seven studies of IT productivity in the manufacturing sector, summarized in table 2. A study by Gary Loveman (1988) provided some of the first econometric evidence of a potential problem when he examined data from 60 business units. 9 As is common in the productivity literature, he used ordinary least squares regression and assumed that production functions could be approximated by a Cobb-Douglas function. By taking the logarithm of all variables, he was able to estimate a linear relationship between changes in the log of output 0Â ° (q) and changes in the log of spending on key inputs, including 9 Namely, the Management Productivity of IT (MPIT) subset of the PIMS data set. 10 Where output was defined as (sales + net change in inventories)/ price index. Draft: 1/29/92 page 11 Information Technology and Productivity materials (m), purchased services (ps), labor (1), traditional capital (k), and information technology capital (c), while allowing for an exogenous time trend (), and an error term (? ): q = Blm + B2ps + 1331 + 4k + 135c + X + ? (1) Loveman estimated that the contribution of information technology capital to output (135) was approximately zero over the five year period studied in almost every subsample he examined. His findings were fairly robust to a number of variations on his basic formulation and suggest a paradox: while firms were demonstrating a voracious appetite for a technology experiencing radical improvements, measured productivity gains were insignificant. While Lovemans dependent variable was final output, Barua, Kriebel and Mukhopadhyay (1991) traced Lovemans results back a step by looking at ITs effect on intermediate variables such as capacity utilization, inventory turnover, quality, relative price and new product introduction. Using the same data set, they found that IT was positively related to three of these five intermediate measures of performance, although the magnitude of the effect was generally too small to measurably affect final output. Dudley and Lasserre (1989) also found econometric support for the hypothesis that better communication and information reduce the need for inventories, without explicitly relating this to bottom-line performance measures. Using a different data set, Weill (1988) was also able to disaggregate IT by use, and found that significant productivity could be attributed to transactional types of information technology (e. g. data processing), but was unable to identify gains associated with strategic systems (e. g. sales support) or informational investments (e. g. email infrastructure). Draft: 1/29/92 page 12 Information Technology and Productivity Morrison and Berndt have written two papers using a broader data set from the US Bureau of Economic Analysis (BEA) that encompasses the whole U. S. manufacturing sector. The first (Morrison Berndt, 1990), which examined a series of highly parameterized models of production, found evidence that every dollar spent on IT delivered, on average, only about $0. 80 of value on the margin, indicating a general overinvestment in IT. Their second paper (Berndt Morrison, 1991b) took a less structured approach and examined broad correlations of IT with labor productivity and multifactor productivity, as well as other variables. This approach did not find a significant difference between the productivity of IT capital and other types of capital for a majority of the 20 industry categories examined. They did find that IT was correlated with significantly increased demand for skilled labor. Finally, Siegel and Griliches (1991) used industry and establishment data from a variety of sources to examine several possible biases in conventional productivity estimates. Among their findings was a positive simple correlation between an industrys level of investment in computers and its multifactor productivity growth in the 1980s. They did not examine more structural approaches, in part because of troubling concerns they raised regarding the reliability of the data and government measurement techniques. Draft: 1/29/92 page 13 Draft: 1/29/92 Information Technology and Productivity page 14 Table 2: Studies of IT in Manufacturing Study Data source Findings Loveman, 1988) PIMS/MPIT IT investments added nothing to output (Weill, 1988) Valve manufacturers Contextual variables affect IT performance (Dudley Lasserre, IT and communication reduces inventories 1989) (Morrison Berndt, BEA IT marginal benefit is 80 cents per dollar 1990) invested (Barua, Kriebel PIMS/MPIT IT improved inte rmediate outputs, if not Mukhopadhyay, 1991) necessarily final output (Berndt Morrison, BEA, BLS IT not correlated with higher multi-factor 1991 b) productivity in most industries, more labor use (Siegel Griliches, Multiple govt sources IT using industries tend to be more 1991) productive; government data is unreliable Comment All authors make a point of emphasizing the limitations of their respective data sets. The MPIT data, which both Loveman and Barua, Kriebel and Mukhopadhyay use, can be particularly unreliable. As Loveman is careful to point out, his results are based on dollar denominated outputs and inputs, and therefore depend on price indices which may not accurately account for changes in quality or the competitive structure of the industry. The results of both of these studies may also be unrepresentative to the extent that the relatively short period covered by the MPIT data, 1978- 83, was unusually turbulent. The BEA data may be somewhat more dependable but are subject to subtle biases due to the unintuitive techniques used to aggregate and classify establishments. One of Siegel and Griliches principal conclusions was that after auditing the industry numbers, we found that a non-negligible number of sectors were not consistently defined over time. However, the generally reasonable estimates derived for the other, non-information technology factors of production in each of the studies indicate that there may indeed be something worrisome, or at least special, about information technology. Additional III Information Technology and Productivity econometric work would go far toward establishing whether these results are an artifact of the data or a genuine puzzle in need of more thorough analysis. The Productivity of Information Technology Capital in Services The Issues It has been widely reported that most of the productivity slowdown is concentrated in the service sector (1991; Roach, 1987b; Schneider, 1987). Before about 1970, service productivity growth was comparable to that in manufacturing, but since then the trends have diverged significantly. Meanwhile services have dramatically increased as a share of total employment and to a lesser extent, as a share of total output. Because services use over 80% information technology, this has been taken as indirect evidence of poor information technology productivity. The studies that have tried to assess IT productivity in the service sector are summarized in table 3. One of the first studies of ITs impact was by Cron and Sobol (1983), who looked at a sample of wholesalers. They found that on average, ITs impact was not significant, but that it seemed to be associated with both very high and very low performers. This finding has engendered the hypothesis that IT tends to reinforce existing management 11 According to government statistics, from 1953 to 1968, labor productivity growth in services averaged 2. 56%, vs. 2. 61% in manufacturing. For 1973 to 1979, the figures are 0. 68% vs. 1. 53%, respectively (Baily, 1986). However, a recent study (Gordon, 1989) suggests that measurement errors in US statistics systematically understate service productivity growth relative to manufacturing. More recently, computers definitely have caused some divergence in the statistics on manufacturing and service productivity, but for a very different reason. Because of the enormous quality improvements attributed to the computers, the nonelectrical machinery category (containing the computer producing industry) has shown tremendous growth. As a result, while overall manufacturing productivity growth has rebounded from about 1. 5% in the 1970s to 3. 5% in the 1980s, about two thirds of this increase is simply attributable to the greater production (as opposed to use) of computers (see comment by William Nordhaus on Baily Gordon, 1988 and section III. A of this paper) Draft: 1/29/92 page 15 Information Technology and Productivity approaches, helping well-organized firms succeed but only further confusing anagers who havent properly structured production in the first place. Strassman (1985; 1990) also reports disappointing evidence in several studies. In particular, he found that there was no correlation between IT and return on investment in a sample of 38 service sector firms: some top performers invest heavily in IT, while some do not. In his most recent book (1990), he concludes that there is no relation between spending for computers, profits and productivity. Roachs widely cited research on white collar productivity, discussed above, focused principally on ITs dismal performance in the service sector (1991; 1987a; 1987b; 1988; 1989a; 1989b). Roach argues that IT is an effectively used substitute for labor in most manufacturing industries, but has paradoxically been associated with bloating whitecollar employment in services, especially finance. He attributes this to relatively keener competitive pressures in manufacturing and foresees a period of belt-tightening and restructuring in services as they also become subject to international competition. There have been several studies of ITs impact on the performance of various types of financial services firms. A recent study by Parsons, Gottlieb and Denny (1990) estimated a production function for banking services in Canada and found that overall, the impact of IT on multifactor productivity was quite low between 1974 and 1987. They speculate that IT has positioned the industry for greater growth in the future. Similar conclusions are reached by Franke (1987), who found that IT was associated with a sharp drop in capital productivity and stagnation in labor productivity, but remained optimistic about the future potential of IT, citing the long time lags associated with previous technological transformations such as the conversion to steam power. On the other Draft: 1/29/92 page 16 Information Technology and Productivity hand, Brand (1982), using BLS data and techniques, found that moderate productivity growth had already occurred in banking. Harris and Katz (1988; 1989) and Bender (1986) looked at data on the insurance industry from the Life Office Management Association Information Processing Database. They found a positive relationship between IT expense ratios and various performance ratios although at times the relationship was quite weak. Several case studies of ITs impact on performance have also been done, including one by Weitzendorf Wigand (1991) which developed a model of information use in two service corporations, and a study of an information services firm by Pulley and Braunstein (1984), which found an association with increased economies of scope. Table 3: Studies of IT in Services Study Data source Findings (Brand Duke, 1982) BLS Productivity growth of 1. 3%/yr in banking (Cron Sobol, 1983) 138 medical supply Bimodal distribution among high IT wholesalers investors: either very good or very bad (Pulley Braunstein, Monthly data from Significant economies of scope 1984) information service firm (Clarke, 1985) Case study Major business process redesign needed to reap benefits in investment firm Strassman, 1985; Computerworld survey No correlation between various IT ratios Strassman, 1990)] of 38 companies and performance measures (Bender, 1986) LOMA insurance data on Weak relationship between IT and variou s 132 firms performance ratios (Bresnahan, 1986) Financial services firms Large gains in imputed consumer welfare (Franke, 1987) Finance industry data (Roach, 1991; Roach, Principally BLS, BEA Vast increase in IT capital per information 1987b; Roach, 1989a) worker while measured output decreased (Harris Katz, 1988; LOMA insurance data Weak positive relationship between IT and Harris Katz, 1989) for 40 various performance ratios Noyelle, 1990) US and French industry Severe measurement problems in services (Parsons, Gotlieb Internal operating data IT coefficient in translog production Denny, 1990) from 2 large banks function small and often negative (Weitzendorf Interviews at 2 Interactive model of information use Wigand, 1991) companies Draft: 1/29/92 page 17 Information Technology and Productivity Comment Measurement problems are even more acute in services than in manufacturing. In part, this arises because many service transactions are idiosyncratic, and therefore not subject to statistical aggregation. Unfortunately, even when abundant data exist, classifications sometimes seem arbitrary. For instance, in accordance with a fairly standard approach, Parsons, Gottlieb and Denny (1990) treated time deposits as inputs into the banking production function and demand deposits as outputs. The logic for such decisions is often difficult to fathom and subtle changes in deposit patterns or classification standards can have disproportionate impacts. The importance of variables other than IT also becomes particularly apparent in some of the service sector studies. Cron and Sobols finding of a bimodal distribution suggests that some variable was left out of the equation. Furthermore, researchers and consultants have increasingly emphasized the theme of re-engineering work when introducing major IT investments (Davenport Short, 1990; Hammer, 1990). A frequently cited example is the success of the Batterymarch services firm, as documented by Clarke (1985). Batterymarch used information technology to radically restructure the investment management process, rather than simply overlaying IT on existing processes. In sum, while a number of the dimensions of the information technology productivity paradox have been overstated, the question remains as to whether information technology is having the positive impact expected. In particular, better measures of information worker productivity are needed, as are explanations for why information technology capital hasnt clearly improved firm-level productivity in manufacturing and services. We now examine four basic approaches taken to answer these questions. Draft: 1/29/92 page 18 Information Technology and Productivity Leading Explanations for the Paradox Although it is too early to conclude that ITs productivity contribution has been subpar, a paradox remains in our inability to unequivocally document any contribution after so much effort. The various explanations that have been proposed can be grouped into four categories: 1) Mismeasurement of outputs and inputs, 2) Lags due to learning and adjustment, 3) Redistribution and dissipation of profits, 4) Mismanagement of information and technology. The first two explanations point to shortcomings in research, not practice, as the root of the productivity paradox. It is possible that the benefits of IT investment are quite large, but that a proper index of its true impact has yet to be analyzed. Traditional measures of the relationship between inputs and outputs fail to account for non-traditional sources of value. Second, if significant lags between cost and benefit may exist, then short-term results look poor but ultimately the pay-off will be proportionately larger. This would be the case if extensive learning, by both individuals and organizations, were needed to fully exploit IT, as it is for most radically new technologies. A more pessimistic view is embodied in the other two explanations. They propose that there really are no major benefits, now or in the future, and seek to explain why managers would systematically continue to invest in information technology. The redistribution argument suggests that those investing in the technology benefit privately but at the expense of others, so no net benefits show up at the aggregate level. The final type of explanation examined is that we have systematically mismanaged information Draft: 1/29/92 page 19 Draft: 1/29/92 Information Technology and Productivity page 20 technology: there is something in its nature that leads firms or industries to invest in it when they shouldnt, to misallocate it, or to use it to create slack instead of productivity. Each of these four sets of hypotheses is assessed in turn in this section. Measurement Errors The Issues The easiest explanation for the low measured productivity of information technology is simply that were not properly measuring output. Denison (1989) makes a wide-ranging case that productivity and output statistics can be very unreliable. Most economists would agree with the evidence presented by Gordon and Baily (1989), and Noyelle (1990) that the problems are particularly bad in service industries, which happen to own the majority of information technology capital. It is important to note that measurement errors need not necessarily bias IT productivity if they exist in comparable magnitudes both before and after IT investments. However, the sorts of benefits ascribed by managers to information technology increased quality, variety, customer service, speed and responsiveness are precisely the aspects of output measurement that are poorly accounted for in productivity statistics as well as in most firms accounting numbers. This can lead to systematic underestimates of IT productivity. The measurement problems are particularly acute for IT use in the service sector and among white collar workers. Since the null hypothesis that no improvement occurred wins by default when no measured improvement is found, it probably is not coincidental that service sector and information worker productivity is considered more of a problem than manufacturing and blue collar productivity, where measures are better. III Information Technology and Productivity a. Output Mismeasurement As discussed in the introduction, when comparing two output levels, it is important to deflate the prices so they are in comparable real dollars. Accurate price adjustment should remove not only the effects of inflation but also adjust for any quality changes. Much of the measurement problem arises from the difficulty of developing accurate, quality-adjusted price deflators. Additional problems arise when new products or features are introduced, not only because they have no predecessors for direct comparison, but also because variety itself has value, and that can be nearly impossible to measure. The positive impact of information technology on variety and the negative impact of variety on measured productivity has been econometrically and theoretically supported by Brooke (1991). He argues that lower costs of information processing have enabled companies to handle more products and more variations of existing products. However, the increased scope has been purchased at the cost of reduced economies of scale and has therefore resulted in higher unit costs of output. For example, if a clothing manufacturer chooses to produce more colors and sizes of shirts, which may have value to consumers, existing productivity measures rarely account for such value and will typically show higher productivity in a firm that produces a single color and size. 12 Higher prices in industries with increasing product diversity is likely to be attributed to inflation, despite the real increase in value provided to consumers. In services, the problem of unmeasured improvements can be even worse than in manufacturing. For instance, the convenience afforded by twenty-four hour ATMs is frequently cited as an unmeasured quality improvement (Banker Kauffman, 1988). 12The same phenomenon suggests that much of the initial decline in productivity experienced by centrally-planned economies when they liberalize is spurious. Draft: 1/29/92 page 21 Draft: 1/29/92 Information Technology and Productivity page 22 How much value has this contributed to banking customers? Government statistics implicitly assume it is all captured in the number of transactions, or worse, that output is a constant multiple of labor input! (Mark, 1982) In a case study of the finance, insurance and real estate sector, where computer usage and the numbers of information workers are particularly high, Baily and Gordon (Baily Gordon, 1988) identified a number of practices by the Bureau of Economic Analysis (BEA) which tend to understate productivity growth. Their revisions add 2. 3% per year to productivity between 1973 and 1987 in this sector. 13 b. Information Technology Stock Mismeasurement A related measurement issue is how to measure information technology stock itself. For any given amount of output, if the level of IT stock used is overestimated, then its unit productivity will appear to be less than it really is. Denison (1989) argues that the rapid decreases in the real costs of computer power are largely a function of general advances in knowledge and as a result, the government overstates the decline in the computer price deflator by attributing these advances to the producing industry. If this is true, the real quantity of computers purchased recently is not as great as statistics show, while the real quantity purchased 20 years ago is higher. The net result is that much of the productivity improvement that the government attributes to the computer-producing industry, should be allocated to computer-using industries. Effectively, computer users have been overcharged for their recent computer investments in the government productivity calculations. c. Input Mismeasurement 13 They also add 1. 1% to productivity growth before 1973. III Information Technology and Productivity A third issue is the measurement of other inputs. If the quality of work life is improved by computer usage (less repetitive retyping, tedious tabulation and messy mimeos), then theory suggests that proportionately lower wages can be paid. Thus the slow growth in clerical wages may be an artifact of unmeasured improvements in work life that are not accounted for in government statistics. Baily and Gordon (1988) conjecture that this may also be adding to the underestimation of productivity. To the extent that complementary inputs, such as software, or training, are required to make investments in information technology worthwhile, labor input may also be overestimated. Although spending on software and training yields benefits for several years, it is generally expensed in the same year that computers are purchased, artificially raising the short-term costs associated with computerization. In an era of annually rising investments, the subsequent benefits would be masked by the subsequent expensing of the next, larger, round of complementary inputs. On the other hand, IT purchases may also create long-term liabilities in software and hardware maintenance that are not fully accounted for, leading to an underestimate of ITs impact on costs. d. Methodological Concerns In addition to data problems, the methodology used to assess IT impacts can also significantly affect the results. Alpar and Kim (1990) applied two approaches to the same data set. One approach was based on key ratios and the other used a cost function derived from microeconomic theory. 4 They found that the key ratios approach, which had been 14 An example of the key ratios approach is examining the correlation between the ratio of information processing expenses to total expenses and the ratio of total operating expenses to premium income, as Bender [, 1986 #295] did. An example of the cost function approac h is to use duality theory to derive a cost function from a production function, such as the Cobb-Douglas function described above that was used by Loveman [, 1988 #58]. The exact function used by Alpar and Kim was the translog cost function, which is more general, but which requires the estimation of a large number of parameters. Draft: 1/29/92 page 23 Draft: 1/29/92 Information Technology and Productivity page 24 previously used by Bender (1986) and Cron and Sobol (1983), among others, could be particularly misleading. In an effort to model IT effects more rigorously, several papers have called for the use of approaches derived from microeconomics. Cooper and Mukhopadhyay (1990) advocate a production function approach while frontier methodologies such as data envelopment analysis (DEA) have been proposed by Chismar and Kriebel (1985) and Stabell (1982). A very different approach has been applied in an article by Tim Bresnahan (1986). Recognizing the inherent difficulties in measurement in the financial services sector, Bresnahan made no attempt to directly measure output. Instead, he inferred it from the level of spending on mainframes under the assumption that the unregulated parts of the financial services sector were competitive and were therefore acting as agents for consumers. He found that welfare gains were five times greater than expenditures through 1973. Bresnahans findings serve to underscore the size of the gap between the benefits perceived by the consumers of IT and those measured by researchers using conventional techniques. Comments Output measurement is undoubtedly problematic. Rapid innovation has made information technology-intensive industries particularly susceptible to the problems associated with measuring quality changes and valuing new products. The way productivity statistics are currently kept can lead to bizarre anomalies: to the extent that ATMs lead to fewer checks being written, they can actually lower productivity statistics. Increased variety, improved timeliness of delivery and personalized customer service are additional benefits that are poorly represented in productivity statistics. These are all qualities that are particularly likely to be enhanced by information technology. Because III Information Technology and Productivity information is intangible, increases in the implicit information content of products and services are likely to be under-measured compared to increases in materials content. Nonetheless, some analysts are skeptical that measurement problems can explain much of the slowdown. They point out that by many measures, service quality has gone down, not up. 15 Furthermore, they question the value of variety when it takes the form of six dozen brands of breakfast cereal. Indeed, models from industrial organization theory suggest that while more variety will result from the flexible manufacturing and lower search costs enabled by IT, the new equilibrium can exhibit excess variety making consumers worse off (Tirole, 1988). Denison is in the minority in his view that the government is overestimating the improvements in computing power per dollar. A study by Gordon (1987) found that, if anything, computer prices are declining slightly faster than government statistics show. More recently, a study by Triplett (1989) considered Denisons criticisms but in the end supported the BEA methods. 16 Ultimately, a closer look at productivity statistics reminds researchers that the poor showing of information technology may not rest on an entirely solid foundation simply because the statistics are not as reliable as we would like. Lags The Issues 5 Nordhaus in a comment on Baily and Gordon (1988) recalls the doctors house call, custom tailoring, and windshield wipin g at gas stations, among other relics. 16 Most economists appear to be less concerned than Denison about this bias in the BEA statistics. For instance, a consensus of economists at the June, 1990 NBER conference on productivity concurred with Tripletts conclusions. Draft: 1/29/92 page 25 Information Technology and Productivity A second explanation for the paradox is that the benefits from information technology can take several years to show up on the bottom line. a. Evidence of Lags The idea that new technologies may not have an immediate impact is a common one in business. For instance, a survey of executives suggested that many expected it to take at much as five years for information technology investments to pay-off (Nolan/Norton, 1988). This accords with a recent econometric study by Brynjolfsson et al. (1991a) which found lags of two to four years before the strongest organizational impacts of information technology were felt. Loveman (1988) also found slightly higher, albeit still very low, productivity when small lags were introduced. In general, while the benefits from investment in infrastructure can be large, they are indirect and often not immediate. b. Theoretical Basis for Lags The existence of lags has some basis in theory. Because of its unusual complexity and novelty, firms and individual users of information technology may require some experience before becoming proficient (Curley Pyburn, 1982). According to dynamic models of learning-by-using, the optimal investment strategy sets short term marginal costs greater than short-term marginal benefits. This allows the firm to ride the learning curve and reap benefits analogous to economies of scale (Scherer, 1980). If only short-term costs and benefits are measured, then it might appear that the investment was inefficient. Viewed in this framework, there is nothing irrational about the experimentation phase firms are said to experience in which rigorous cost/benefit analysis is not undertaken (Nolan/Norton, 1988). Because future information technology investments tend to be large Draft: 1/29/92 page 26 Information Technology and Productivity relative to current investments, the learning effect could potentially be quite substantial. A similar pattern of costs and benefits is predicted by an emerging literature that treats investments in information technology as options, with short term costs, but with the potential for long-term benefits (Kambil, Henderson Mohsenzadeh, 1991). Comments One way to address the measurement problem associated with complementary inputs (see section III. A. 1 . c) is to introduce appropriate lags in the estimation procedure. For instance, the purchase of a mainframe computer must generally precede the development of mainframe database software. Software, in turn, usually precedes data acquisition. Good decisions may depend on years of acquired data and may not instantaneously lead to profits. 17 Optimally, a manager must take into account these longterm benefits when purchasing a computer and so must the researcher seeking to verify the benefits of computerization. If managers are rationally accounting for lags, this explanation for low information technology productivity growth is particularly optimistic. In the future, not only should we reap the then-current benefits of the technology, but also enough additional benefits to make up for the extra costs we are currently incurring. However, the credibility of this explanation is somewhat undermined by the fact that American managers have not been noted for their ability to postpone benefits to the future. On the contrary, the risk and uncertainty associated with new technologies can make risk-averse managers require higher, not lower, rates of return before they will invest. Increased familiarity, ease-of-use 17 It has been observation that firms that spend proportionately more money on software appear to be more profitable (Computer Economics Report, 1988) If firms go through a hardware buying phase followed by an applications phase, then this may have more to due with firms being in different stages of a multi-year process than with different technology strategies. Draft: 1/29/92 page 27 Draft: 1/29/92 Information Technology and Productivity page 28 and end-user computing may lead to reduced lags between the costs and benefits of computerization in the future. Redistribution The Issues A third possible explanation is that information technology may be beneficial to individual firms, but unproductive from the standpoint of the industry as a whole or the economy as a whole: IT rearranges the shares of the pie without making it any bigger. a. The Private Value of Information Can Exceed its Social Value There are several arguments for why redistribution may be more of a factor with IT investments than for other investments. For instance, information technology may be used disproportionately for market research and marketing, activities which can be very beneficial to the firm while adding nothing to total output (Baily Chakrabarti, 1988; Lasserre, 1988). Furthermore, economists have recognized for some time that, compared to other goods, information is particularly vulnerable to rent dissipation, in which one firms gain comes entirely at the expense of others, instead of by creating new wealth. As Hirshleifer (1971) pointed out, advance knowledge of demand, supply, weather or other conditions that affect asset prices can be very profitable privately even without increasing total output. This will lead to excessive incentives for information gathering. In a similar spirit, races to be the first to apply an innovation can also lead to rent dissipation (Fudenberg Tirole, 1985). The rapid-fire pace of innovation in the information technology industry might also encourage this form of wasteful investment. III Information Technology and Productivity b. Models of Redistribution Baily and Chakrabarti (1988) run a simulation under the assumption that a major share of the private benefits of information technology result from redistribution. The results are broadly consistent with the stylized facts of increased amounts of information technology and workers without increases in total productivity. 2. Comments Unlike the other possible explanations, the redistribution hypothesis would not explain any shortfall in IT productivity at the firm-level: firms with inadequate IT budgets would lose market share and profits to high IT spenders. In this way, an analogy could be made to models of the costs and benefits of advertising. It is interesting to note that most of the reasons for investing in information technology given by the articles in the business press involve taking profits from competitors rather than lowering costs. 18 Mismanagement The Issues A fourth possibility is that, on the whole, information technology really is not productive at the firm level. The investments are made nevertheless because the decision- 18 Porter and Millar, 1985, is not atypical. They emphasize competitive advantage gained by changes in industry structure, product and service differentiation and spawning of new businesses while devoting about 5% of their space to cost savings enabled by IT. Others ignore cost reductions entirely. Draft: 1/29/92 page 29 Draft: 1/29/92 Information Technology and Productivity page 30 makers arent acting in the interests of the firm. Instead, they are a) increasing their slack, b) signalling their prowess or c) simply using outdated criteria for decision-making. a. Increased scope for managerial slack Many of the difficulties that researchers have in quantifying the benefits of information technology would also affect managers (Baily, 1986a; Gremillion Pyburn, 1985). As a result, they may have difficulty in bringing the benefits to the bottom line if output targets, work organization and incentives are not appropriately adjusted (McKersie Walton, 1988). The result is that information technology might increase organizational slack instead of output or profits. This is consistent with arguments by Roach (1989a) that manufacturing has made better use of information technology than has the service sector because manufacturing faces greater global competition, and thus tolerates less slack. b. Information consumption as a signal Feldman and March (1981) also point out that good decisions are generally correlated with significant consumption of information. If the amount of information requested is more easily observable than the quality of decisions, a signalling model will show that too much information will be consumed. c. Use of outdated management heuristics A related argument derives from evolutionary models (Nelson, 1981). The difficulties in measuring the benefits of information and information technology discussed above may also lead to the use of heuristics, rather than strict cost/benefit accounting to set III Information Technology and Productivity levels of information technology investments. 9 Our current institutions, heuristics and management principles evolved largely in a world with little information technology. The radical changes enabled by information technology may make these institutions outdated (see e. g. (Clarke, 1985; Franke, 1987)). For instance, a valuable heuristic in 1960 might have been get all readily available information before making a decision. The same heuristic today could lead to information overload and chaos (Thurow, 1987). Indeed, Ayres (1989) argues that the rapid speed-up enabled by information technology creates unanticipated bottlenecks at each human in the information processing chain. More money spent on information technology wont help until these bottlenecks are addressed. Indeed, researchers have found that a successful IT implementation process must not simply overlay new technology on old processes (Davenport Short, 1990). At a broader level, several researchers suggest that our currently low productivity levels are symptomatic of an economy in transition, in this case to the information era (David, 1989; Franke, 1987; Gay Roach, 1986). For instance, David makes an analogy to the electrification of factories at the turn of the century. Major productivity gains did not occur for twenty years, when new factories were designed and built to take advantage of electricitys flexibility which enabled machines to be located based on work-flow efficiency, instead of proximity to waterwheels, steam-engines and power-transmitting shafts and rods. Comments While the idea of firms consistently making inefficient investments in IT is anathema to the neoclassical view of the firm as a profit-maximizer, it can be explained 19 Indeed, a recent review of the techniques used by major companies to justify information technology investments [Yamamoto, 1991] revealed surprisingly little formal analysis. See Clemons [, 1991 #284] for an assessment of the IT justification process. Draft: 1/29/92 page 31 Draft: 1/29/92 Information Technology and Productivity page 32 formally by models such as agency theory, employment signalling models and evolutionary economics, which treat the firm as a more complex entity. The fact that firms continue to invest large sums in the technology suggests that the individuals within the firm that make investment decisions are getting some benefit or at least believe they are getting some benefit from IT. For instance, a model of how IT enables managerial slack can be developed using agency theory. The standard result in this literature is that when managers (agent) incentives are not aligned with shareholder (principal) interests, suboptimal investment decisions and effort can result. One little noted feature of most agency models is that the incentives for agents to acquire additional information generally exceed the social benefits. This is because agents can use the information to earn rents and to short-circuit the incentive scheme (Brynjolfsson, 1990a). Thus, information technology investments may be very attractive to managers even when they do little to boost productivity. To the extent that competition reduces the scope for managerial slack, the problem is alleviated. In general, however, we do not yet have comprehensive models of the internal organization of the firm and researchers, at least in economics, are mostly silent on the sorts of inefficiency discussed in this section. Conclusion Summary Research on information technology