Computing in systems described by equations. by O"Donnell, Michael J.

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Published by Springer-Verlag in Berlin .

Written in English

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  • Programming languages (Electronic computers),
  • Interpreters (Computer programs),
  • Equations

Edition Notes

Bibliography: p. 109-111.

Book details

SeriesLecture notes in computer science -- 58
The Physical Object
Paginationxiv, 111 p.
Number of Pages111
ID Numbers
Open LibraryOL13543706M
ISBN 103540085319

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About this book Keywords Computing EDV Gleichung Mathematische Logik Programmiersprache Systems equation function language logic programming language proof semantics Übersetzer. Computing in systems described by equations. Berlin ; New York: Springer-Verlag, (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: Michael J O'Donnell.

Computing in systems described by equations | Michael J. O'Donnell (eds.) | download | B–OK. Download books for free. Find books. Computing in systems described by equations.

[Michael J O'Donnell; M J Odonnell] Home. WorldCat Home About WorldCat Help. Search. Search for Library Items Search for Lists Search for Book, Internet Resource: All Authors / Contributors: Michael J O'Donnell; M J Odonnell. Find more information about: ISBN: Internationally recognized specialists overview both the general and special purpose systems and discuss issues such as denesting nested roots, complex number calculations, efficiently computing special polynomials, solving single equations and systems of polynomial equations, computing limits, multiple integration, solving ordinary differential and nonlinear evolution equations, code generation, evaluation and computer algebra in education.5/5(1).

Scientific Computing and Differential Equations: An Introduction to Numerical Methods, is an excellent complement to Introduction to Numerical Methods by Ortega and Poole. The book emphasizes the importance of solving differential equations on a computer, which comprises a large part of what has come to be called scientific by: Scientific Computing and Differential Equations: An Introduction to Numerical Methods, is an excellent complement to Introduction to Numerical Methods by Ortega and Poole.

The book emphasizes the importance of solving differential equations on a computer, which comprises a large part of what has come to be called scientific computing.

It reviews modern scientific computing, outlines its. Systems of Differential Equations Let x1(t), x2(t), x3(t) denote the amount of salt at time t in each tank. We suppose added to tank A water containing no salt. Therefore, the salt in all the tanks is eventually lost from the Size: KB.

Mathematical Modeling of Control Systems 2–1 INTRODUCTION In studying control systems the reader must be able to model dynamic systems in math-ematical terms and analyze their dynamic characteristics.A mathematical model of a dy-namic system is defined as a set of equations that represents the dynamics of the system.

An important class of linear, time-invariant systems consists of systems rep- resented by linear constant-coefficient differential equations in continuous time and linear constant-coefficient difference equations in discrete time.

Continuous-time linear, time-invariant systems that satisfy differential equa- tions are very common; they include electrical circuits composed of resistors, inductors, and capacitors and mechanical systems File Size: KB. The zeros of a function are also called the roots of the equation f(x) = 0.

There are many functions for which a zero cannot be computed easily. Such is the case of most nonlinear functions. For instance, a simple function such as f(x) = cos(x) x cannot be solved analytically.

ear, time-varying systems, and also for nonlinear systems, systems with delays, systems described by partial differential equations, and so on; these results, however, tend to be more restricted and case dependent.

MATHEMATICAL DESCRIPTIONS Mathematical models of physical processes are the foundations of control theory. The existing analysis and.

completely described by its state vector, which is a unit vector in the system’s state space.” Consider a single qubit - a two-dimensional state space. Let j φ0 i and φ1 be orthonormal basis for the space.

Then a qubit j ψ i = a φ0 + b φ1. In quantum computing we usually label the basis with some boolean name but note carefully that File Size: KB. Simple Control Systems Introduction In this chapter we will give simple examples of analysis and design of control systems.

We will start in Sections and with two systems that can be handled using only knowledge of differential equations. Sec-tion deals with design of a cruise controller for a car.

In Section File Size: KB. Description. Analog and Hybrid Computing focuses on the operations of analog and hybrid computers.

The book first outlines the history of computing devices that influenced the creation of analog and digital computers.

The types of problems to be solved on computers, computing systems, and digital computers are discussed. The module is based on the set book Nonlinear Ordinary Differential Equations by D. Jordan and P. Smith. It is an introduction to some of the basic theory and to the simpler approximation schemes.

It deals mainly with systems that have two degrees of freedom, and it can be divided into three parts. Abstract. This chapter introduces symbolic computing in maple and also describes variables, statements, and programming constructs with illustrations and shows how to make graphs of functions, how to use them to solve transcendental equations, and how to make tables of data.

Wolfram technologies include thousands of built-in functions that let you. Compute the state-space model of a system described by difference or differential equations and any algebraic constraints ; Analyze the stability of a system using built-in frequency-response tools, computing the poles or solving a Lyapunov equation.

In this paper we study the security of such ciphers under an additional hypothesis: the S-box can be described by an overdefined system of algebraic equations (true with probability 1). We show that this is true for both Serpent (due to a small size of S-boxes) and Rijndael (due to unexpected algebraic properties).Cited by: An integro-differential equation (IDE) is an equation that combines aspects of a differential equation and an integral equation.

A stochastic differential equation (SDE) is an equation in which the unknown quantity is a stochastic process and the equation involves some known stochastic processes, for example, the Wiener process in the case of diffusion equations.

Methods for Systems of Nonlinear Equations Nonlinear Equations Solutions and Sensitivity Convergence Examples: Nonlinear Equations Example of nonlinear equation in one dimension x2 4sin(x) = 0 for which x= is one approximate solution Example of system of nonlinear equations in two dimensions x2 1 x 2 + = 0 x 1 +x2 2 + = 0 for which.

studied the nature of these equations for hundreds of years and there are many well-developed solution techniques. Often, systems described by differential equations are so complex, or the systems that they describe are so large, that a purely analytical solution to the equations is not tractable.

It is in these complex systems where computer. ˜c is the constant vector of the system of equations and A is the matrix of the system's coefficients.

We can write the solution to these equations as x 1c r-r =A, () thereby reducing the solution of any algebraic system of linear equations to finding the inverse of the coefficient Size: KB. Math > 7. Systems of Linear Equations > Naive Gaussian Elimination This example can be solved directly using Matlab.

However, Matlab may obtain the solution by a di erent sequence of steps. A= [ 6 2 2 4 12 8 6 10 3 13 9 3 6 4 1 18] b= [ 16 26 19 34] x= Anb Department of. used textbook “Elementary differential equations and boundary value problems” by Boyce & DiPrima (John Wiley & Sons, Inc., Seventh Edition, c ).

Many of the examples presented in these notes may be found in this book. The material of Chapter 7 is adapted from the textbook “Nonlinear dynamics and chaos” by Steven. Search the world's most comprehensive index of full-text books.

My library. Numerical methods for ordinary differential equations are methods used to find numerical approximations to the solutions of ordinary differential equations (ODEs).

Their use is also known as "numerical integration", although this term is sometimes taken to mean the computation of differential equations cannot be solved using symbolic computation ("analysis"). A hybrid system is a dynamical system that exhibits both continuous and discrete dynamic behavior – a system that can both flow (described by a differential equation) and jump (described by a state machine or automaton).Often, the term "hybrid dynamical system" is used, to distinguish over hybrid systems such as those that combine neural nets and fuzzy logic, or electrical and mechanical.

Introduction to Computing Systems: From bits & gates to C & beyond, now in its second edition, is designed to give students a better understanding of computing early in their college careers in order to give them a stronger foundation for later book is in two parts: (a) the underlying structure of a computer, and (b) programming in a high level/5.

Alt-Azimuth Coordinate System The Altitude-Azimuth coordinate system is the most familiar to the general public. The origin of this coordinate system is the observer and it is rarely shifted to any other point.

The fundamental plane of the system contains the observer and the horizon. While the horizon is an intuitively obvious concept, aFile Size: KB. An analog computer or analogue computer is a type of computer that uses the continuously changeable aspects of physical phenomena such as electrical, mechanical, or hydraulic quantities to model the problem being solved.

In contrast, digital computers represent varying quantities symbolically and by discrete values of both time and amplitude. Analog computers can have a very wide range of.

Lagrangian mechanics is widely used to solve mechanical problems in physics and when Newton's formulation of classical mechanics is not convenient. Lagrangian mechanics applies to the dynamics of particles, while fields are described using a Lagrangian density.

Lagrange's equations are also used in optimization problems of dynamic systems. Difference Equation The difference equation is a formula for computing an output sample at time based on past and present input samples and past output samples in the time domain.

We may write the general, causal, LTI difference equation as follows. A system of linear equations (or linear system) is a collection of linear equations involving the same set of variables. For example, + − = − + = − − + − = is a system of three equations in the three variables x, y, z.A solution to a linear system is an assignment of numbers to the variables such that all the equations are simultaneously satisfied.

A solution to the system above is. acslX is a software application for modeling and evaluating the performance of continuous systems described by time-dependent, nonlinear differential equations.; ADMB is a software suite for non-linear statistical modeling based on C++ which uses automatic differentiation.; AMPL is a mathematical modeling language for describing and solving high complexity problems for large-scale optimization.

36 CHAPTER 2. LAGRANGE’S AND HAMILTON’S EQUATIONS Lagrangian for unconstrained systems For a collection of particles with conservative forces described by a potential, we have in inertial cartesian coordinates m¨x i= F i: The left hand side of this equation is determined by the kinetic energy func-tion as the time derivative of the.

Learn computing systems with free interactive flashcards. Choose from different sets of computing systems flashcards on Quizlet. Introduction to Linear Higher Order Equations Higher Order Constant Coefficient Homogeneous Equations Undetermined Coefficients for Higher Order Equations Variation of Parameters for Higher Order Equations Chapter 10 Linear Systems of Differential Equations Introduction to Systems of Differential Equations Scientific Computing and Differential Equations An Introduction to Numerical Methods This book is a revision of Introduction to Numerical Methods for Differ- ential Equations by J.

Ortega and W. Poole, Jr., published by Pitman subproblems such as the solution of linear systems of equations File Size: KB. The subject of most of this book is the quantum mechanics of systems which have a small number of degrees of freedom.

This book is a mix of descriptions of quantum mechanics itself, the general properties of systems described by quantum mechanics, and general techniques for. The differential equations we consider in most of the book are of the form Y′(t) = f(t,Y(t)), where Y(t) is an unknown function that is being sought.

The given function f(t,y) of two variables defines the differential equation, and exam ples are given in Chapter 1.

This equation is called a first-order differential equation because it File Size: 1MB.In mathematics, a differential-algebraic system of equations (DAEs) is a system of equations that either contains differential equations and algebraic equations, or is equivalent to such a systems occur as the general form of (systems of) differential equations for vector–valued functions x in one independent variable t, (˙ (), (),) =where: [,] → is a vector of dependent.

Section Graphing. For problems 1 – 3 construct a table of at least 4 ordered pairs of points on the graph of the equation and use the ordered pairs from the table to sketch the graph of the equation.

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