08
W. Alabama, CS 798
Excerpt: ... Theory of Quantum Information Lecture Notes John Watrous (Institute for Quantum Computing, University of Waterloo) Lecture 8 Properties of the von Neumann entropy In the previous lecture we defined the Shannon and von Neumann entropy functions, and established the fundamental connection between these functions and the notion of compression. In this lecture and the next we will look more closely at the von Neumann entropy in order to establish some basic properties of this function, as well as an important related function called the quantum relative entropy. 8.1 Continuity of von Neumann entropy The first property we will establish about the von Neumann entropy is that it is continuous everywhere on its domain. 8.1.1 Continuity of the Shannon entropy First, let us define a real valued function : [0, ) R as follows: () = - ln() > 0 0 = 0. This function is continuous everywhere on its domain, and derivatives of all orders exist for all positive real numbers. In particular we have () = -(1 + ln() and ...
|
|
vonNeumann
UCLA, CS 284
Excerpt: ... Arch. Hist. Exact Sci. 56 (2001) 3968 c Springer-Verlag 2001 John von Neumann s Conception of the Minimax Theorem: A Journey Through Different Mathematical Contexts Tinne Hoff Kjeldsen Communicated by J. Gray 1. Introduction The rst purpose of this paper is to tell the history of John von Neumann s development of the minimax theorem for two-person zero-sum games from his rst proof of the theorem in 1928 until 1944 when he gave a completely different proof in the rst coherent book on game theory. I will argue that von Neumann s conception of this theorem as a theorem belonging to the theory of linear inequalities as well as his awareness of its connection to xed point theorems were absent in 1928. In contradiction to the impression given in the literature these connections were only gradually recognized by von Neumann over time. By reading this knowledge into von Neumann s rst proof of the minimax theorem from 1928 a major part of the cognitive development of this theorem is neglecte ...
|
|
CS210_Fall2007_Lecture7_ParallelComputing
Central Connecticut State University, CS 210
Excerpt: ... Parallel Computing Instructor: Dmitri A. Gusev Fall 2007 CS 210: Computing and Culture Lecture 7, October 15, 2007 von Neumann Architecture Problem 1 The flow of data between processor and memory is the bottleneck of a sequential computer Problem 2 Processor speeds continue to increase very fast much faster than either DRAM or disk access times Design challenge: dealing with this growing disparity Non- von Neumann Architectures Synchronous processing: Multiple processors apply the same program in lock-step to multiple data sets Non- von Neumann Architectures (contd) Pipelining processing: Multiple processors are arranged in tandem, where each contributes one part of an overall computation Non- von Neumann Architectures (contd) A shared memory configuration: Multiple processors share a global memory Deadlock Deadlock is a condition when two or more processes are each waiting for another to release a resource, or more than two processes are waiting for resources i ...
|
|
CS201Lecture 05 (F 9-14)
Loyola Maryland, CS 201
Excerpt: ... CS201 Class 5 Friday, 9/14/07 Administrivia Handouts: Project 1, Hw4 (on this sheet) Readings for Monday: Chapter 3, sections 1-5 Class outline 1. History notes Why (some) history is important in studying a science. Puts you in the conversation; helps understand some jargon; introduces you to the original thinkers who often said it best. Topic for the day: The von Neumann machine and its components. How the components of the VNM relate to Java programs. 2. Finish the concepts in Chapter 2 and Lab 0 3. Review the Project 1 assignment. Homework 4. (History and basic definitions) Exercises are from lecture notes, chapter 1. 1. Page 5, #1 2. Page 5, #2 3. Page 25, #1 4. Page 25, #3 5. Page 26, #12 6. Page 26, #17 ...
|
|
Quiz1
Purdue, CS 180
Excerpt: ... What is the distinguishing feature of Von Neumann Architecture ? ...
|
|
ee367_lecture_31
Montana, EE 367
Excerpt: ... EE 367 Logic Design Lecture #31 Agenda 1. Improvements to the von Neumann Stored Program Computer Announcements (Friday, 4/18) 1. HW #11 due today EE 367 Logic Design Spring 2008 Lecture #31 Page 1 von Neumann Computer Bottleneck - we have seen that the von Neumann computer is serial in its execution of instructions - this is good for simplicity, but can limit performance - there are many techniques to improve the performance of this computer 1) Functional Timing 2) Memory Architecture 3) Algorithmic Branch Prediction EE 367 Logic Design Spring 2008 Lecture #31 Page 2 von Neumann Improvements Functional Timing - the simplest implementation of the von Neumann has each control signal asserted in one state, but the register transfer not occurring until the next state. - this is due to the timing of the Flip-Flops and Registers A D Q D B Q CLK tcomb CLK (from controller) tCQ B doesnt see the LOAD signal and Valid Data until the subsequent Clock Edge LOAD AQ BQ A(0) A( ...
|
|
ee367_lecture_31
Montana, EE 367
Excerpt: ... EE 367 Logic Design Lecture #31 Agenda 1. Improvements to the von Neumann Stored Program Computer Announcements (Friday, 4/18) 1. HW #11 due today EE 367 Logic Design Spring 2008 Lecture #31 Page 1 von Neumann Computer Bottleneck - we have seen that the von Neumann computer is serial in its execution of instructions - this is good for simplicity, but can limit performance - there are many techniques to improve the performance of this computer 1) Functional Timing 2) Memory Architecture 3) Algorithmic Branch Prediction EE 367 Logic Design Spring 2008 Lecture #31 Page 2 1 von Neumann Improvements Functional Timing - the simplest implementation of the von Neumann has each control signal asserted in one state, but the register transfer not occurring until the next state. - this is due to the timing of the Flip-Flops and Registers A D Q D B Q CLK tcomb CLK (from controller) B doesnt see the LOAD signal and Valid Data until the subsequent Clock Edge tCQ LOAD AQ BQ A(0) A ...
|
|
1h
SUNY Potsdam, CS 356
Excerpt: ... he chips). Digital circuits consist of gates and wires. These components implement the mathematical logic of all other levels. 1.7 The von Neumann Model On the ENIAC, all programming was done at the digital logic level. Programming the computer involved moving plugs and wires. 27 28 08/30/2005 13:11 1.7 The von Neumann Model Inventors of the ENIAC, John Mauchley and J. Presper Eckert, conceived of a computer that could store instructions in memory. The invention of this idea has since been ascribed to a mathematician, John von Neumann , who was a contemporary of Mauchley and Eckert. Stored-program computers have become known as von Neumann Architecture systems. 1.7 The von Neumann Model Todays stored-program computers have the following characteristics: Three hardware systems: A central processing unit (CPU) A main memory system An I/O system The capacity to carry out sequential instruction processing. A single data path between the CPU and mai ...
|
|
Assignment1
Laurentian, CPSC 3615
Excerpt: ... CS3615: Assignment 1 Due Date: 10.7.2004 Assignments will be accepted only at the beginning of the lecture 1) Search the Internet/library for information about the work of Zuse and how it differs from that of Von Neumann . Especially, clearly identify those Von Neumann principles absent in Zuse's work. 2) Give the binary representation of 34, 107, and 2012. What is the decimal value of: 10001111, 11111111, and 00011100? 3) Define the following terms in your own words: CPU, ALU, control unit, memory, instruction, address, interpretation, hierarchy, VonNeumann bottleneck, sequential processing, stored program concept. 4) In what respect is interpretation more general than translation? What benefits could a combination of both techniques bring? 5) Describe the interpretation elements (SYNT, SEM, .) of a handheld calculator. 6) Suppose you intend to analyze the performance of an interpretation. Identify the needed FUs and the type of tasks they work with. ...
|
|
1jHalmos
Princeton, PUP 100
Excerpt: ... 1942 Finite Dimensional Vector Spaces (Click here to view our web site description.) Paul R. Halmos A s a newly minted Ph.D., Paul Halmos came to the Institute for Advanced Study in 1938 -even though he did not have a fellowship-to study among the many giants of mathematics who had recently joined the faculty. He eventually became John von Neumann 's research assistant, and it was one of von Neumann 's inspiring lectures that spurred Halmos to write Finite Dimensional Vector Spaces. The book brought him instant fame as an expositor of mathematics. Finite Dimensional Vector Spaces combines algebra and geometry to discuss the three-dimensional area where vectors can be plotted. The book broke ground as the first formal introduction to linear algebra, a branch of modern mathematics that studies vectors and vector spaces. The book continues to exert its influence sixty years after publication, as linear algebra is now widely used, not only in mathematics but also in the natural and social sciences, for studyi ...
|
|
hw_set7
Oregon State, ECE 112
Excerpt: ... HW 7 - Not to turn in, just for review of lecture. Be able to define or explain the following terms: - Von Neumann architecture -Harvard architecture - Von Neumann bottleneck -Bus -Register -Cache Memory -RISC -CISC Be able to answer the following: -What are the two basic principles that make caches work. -What does the "clock" do in a microprocessor? -What are the differences between RISC and CISC? -What are the 6 steps taken by a computer to execute a program? -For a RISC computer, what are the three basic types of instruction? ...
|
|
Lecture 04
University of Hawaii - Hilo, ICS 331
Excerpt: ... ist of hardware that directly executes machine instructions. 39 1.6 The Computer Level Hierarchy Level 0: Digital Logic Level * This level is where we find digital circuits (the chips). Digital circuits consist of gates and wires. These components implement the mathematical logic of all other levels. 40 Next Next 10 1.7 The von Neumann Model On the ENIAC, all programming was done at the digital logic level. Programming the computer involved moving plugs and wires. A different hardware configuration was needed to solve every unique problem type. Configuring the ENIAC to solve a simple problem required many days labor by skilled technicians. 1.7 The von Neumann Model Inventors of the ENIAC, John Mauchley and J. Presper Eckert, conceived of a computer that could store instructions in memory. The invention of this idea has since been ascribed to a mathematician, John von Neumann , who was a contemporary of Mauchley and Eckert. Stored-program computers have beco ...
|
|
algebras
Princeton, PHI 538
Excerpt: ... References [1] Jacques Dixmier. C -algebras. North-Holland Publishing Co., Amsterdam, 1977. Translated from the French by Francis Jellett, North-Holland Mathematical Library, Vol. 15. [2] Jacques Dixmier. von Neumann algebras, volume 27 of North-Holland Mathematical Library. North-Holland Publishing Co., Amsterdam, 1981. With a preface by E. C. Lance, Translated from the second French edition by F. Jellett. [3] Richard V. Kadison and John R. Ringrose. Fundamentals of the theory of operator algebras. Vol. I, volume 15 of Graduate Studies in Mathematics. American Mathematical Society, Providence, RI, 1997. Elementary theory, Reprint of the 1983 original. [4] Richard V. Kadison and John R. Ringrose. Fundamentals of the theory of operator algebras. Vol. II, volume 16 of Graduate Studies in Mathematics. American Mathematical Society, Providence, RI, 1997. Advanced theory, Corrected reprint of the 1986 original. [5] Gerard J. Murphy. C -algebras and operator theory. Academic Press Inc., Boston, MA, 1990. [6] Sh^i ...
|
|
chapter1
Laurentian, CPSC 200401
Excerpt: ... that supercomputers are very expensive. PC people like the structure (or the mess?) of PCs. Same thing for PC operating systems. Academics plead for new architecture principles but (wrongly?) without success: Dataflow machines Reduction machines Object-oriented machines 4 Goals of the Lectures Basic knowledge in computer architecture. Understanding the functionality of conventional computers (up to 99%) Understanding of the main evaluation criterion of computers, namely, performance. Programming of machines at the lowest level using assembly languages. Knowing the MIPS architecture and its assembly language. Basic knowledge for other fields: Operating systems Compilers Performance evaluation Systems programming Microprogramming And remember, you want to call yourself computer scientist, so you have to know about computers. 5 Von Neumann Architecture Principles (there are some!) of todays computer systems ...
|
|
notes3
Caltech, PHYS 127
Excerpt: ... 1 Lecture 4: Partition function, Canonical ensemble, Von-Neumann entropy Canonical ensemble: A system is considered in contact with a much larger environment that has a well defined (and constant) temperature. The micro-canonical number of states ...
|
|
hw_set8
Oregon State, ECE 112
Excerpt: ... HW 8 - Not to turn in, just for review of lecture. Be able to define or answer the following: -Define what a microcontroller is. -Name 5 different I/O that might be supplied on a microcontroller. -Is the PIC16F84 a Harvard or von Neumann style architecture? -What is "assembly language"? -What is special about the "W" register on a PIC16F84? ...
|
|
Lecture2
NYU, G22 3220
Excerpt: ... G22.3220-001 Cryptography and Imperfect Randomness January 24, 2006 Lecture 2 Lecturer: Yevgeniy Dodis Scribe: Carl Bosley and Jonghaw Lee Administrative notes: Everyone should sign up for the mailing list. Everyone who takes the class for credit is expected to do scribe notes, so be sure to sign up soon. Perfect randomness is often impractical and hard to obtain. So how do we make use of the imperfect randomness sources? This lecture we look at some examples of randomness extraction: Von Neumann s Coin, Markov Chains and Blums extraction. 1 Imperfect Randomness Randomness is used everywhere in Cryptography. Our examples last lecture assumed unbiased, independent random bits. This assumption is too strong for many real scenarios: Physical sources (hard disk latency, etc) are not truly independent and unbiased. Biometrics Partial key exposure Attacker learns part of the secret key, e.g. by microwaving a smartcard Question: Can we base cryptography on weaker (more realistic) assumptio ...
|
|
ee367_lecture_29
Montana, EE 367
Excerpt: ... EE 367 Logic Design Lecture #29 Agenda 1. von Neumann Stored Program Computer Architecture Announcements (Monday, 4/14) n/a EE 367 Logic Design Spring 2008 Lecture #29 Page 1 von Neumann Computer von Neumann Stored Program Computer - "Stored Program" means the HW is designed to execute a set of pre-defined instructions - the program and data reside in a storage unit (i.e., memory) - to change the functionality of the computer, the program is changed (instead of the HW) - John von Neumann was a mathematician who described a computer architecture where the instructions and data reside in the same memory - this implies sequential execution - it is simple from the standpoint of state machine timing - the drawback is the " von Neumann bottleneck" in getting data into and out of memory in order for the computer to run - this architecture is what we are using in the labs on the Freescale microcontrollers EE 367 Logic Design Spring 2008 Lecture #29 Page 2 von Neumann Computer ...
|
|
ee367_lecture_29
Montana, EE 367
Excerpt: ... EE 367 Logic Design Lecture #29 Agenda 1. von Neumann Stored Program Computer Architecture Announcements (Monday, 4/14) 1. n/a EE 367 Logic Design Spring 2008 Lecture #29 Page 1 von Neumann Computer von Neumann Stored Program Computer - "Stored Program" means the HW is designed to execute a set of pre-defined instructions - the program and data reside in a storage unit (i.e., memory) - to change the functionality of the computer, the program is changed (instead of the HW) - John von Neumann was a mathematician who described a computer architecture where the instructions and data reside in the same memory - this implies sequential execution - it is simple from the standpoint of state machine timing - the drawback is the " von Neumann bottleneck" in getting data into and out of memory in order for the computer to run - this architecture is what we are using in the labs on the Freescale microcontrollers EE 367 Logic Design Spring 2008 Lecture #29 Page 2 1 von Neumann Computer ...
|
|
08-neumann
Colorado State, CS 270
Excerpt: ... Copied and modified from Michelle Strout's notes from Fall 2008 Sanjay.Rajopadhye@colostate.edu CS270 Colorado State University = Sequential Circuits Lecture 8: 12 Feb 2009; Sanjay Rajopadhye = Ch 4: The von Neumann model: stored program computers - Goal questions for the Von Neumann Model (1) What are the components in the von Neumann model and what does each of the components do? (3) How can we interpret bits in a memory as 2's complement integers, IEEE floating points, ASCII values, or instructions? (4) Describe the phases that constitute the instruction cycle. (5) How do we determine the number of bits in an instruction that should be used to encode the instruction operation, register values, and other fields in the instruction? (6) What are the possible locations for the opcode bits in an instruction? (7) What happens during each phase of the LC3 instruction cycle for an ADD, JMP, and/or LDR instruction? - ...
|
|
nn_lecture_02
Bethel MN, COS 389
Excerpt: ... Artificial Intelligence Neural Networks Lecture 2 Quote of the Day Insofar as the expressions of mathematics refer to reality they are not certain, and insofar as they are certain they do not refer to reality. Albert Einstein 2 The Symbolic Paradigm What are some examples of the symbolic paradigm? What are the common features of these examples? S_ R_ I_ C_ G_ C_ 3 The Symbolic Paradigm What are the symbols, rules, initial conditions, and goal conditions of the von Neumann architecture? We are familiar with the properties of the von Neumann architecture Algorithmic (sequence, decision, iteration) Deterministic Naturally serial (but can operate as parallel with synchronization) 4 The Symbolic Paradigm Another property to think about What happens in the symbolic paradigm when one of the rules cannot be applied or is applied incorrectly? For instance, what happens when a function in a program has a bug? a firmware c ...
|
|
lecture-static-04
San Diego State, MATH 693
Excerpt: ... (h, k) 0 l2 blomgren@terminus.SDSU.EDU http:/terminus.SDSU.EDU $Id: lecture.tex,v 1.6 2008/01/31 23:12:51 blomgren Exp $ L2 Analysis of Finite Difference Schemes: Fourier Analysis; Von Neumann Analysis p. 1/27 Analysis of Finite Difference Schemes: Fourier Analysis; Von Neumann ...
|