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On mathematical theory of the duality computers
Quantum Information Processing, 2009Recently, Long proposed a new type of quantum computers called duality computers or duality quantum computers. The duality computers based on the general quantum interference principle are much more powerful than an ordinary quantum computer. A mathematical theory for the duality computers has been presented by Gudder.
Xiangfu Zou +4 more
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Two mathematical gestalts for computer theory
Proceedings of the 40th ACM technical symposium on Computer science education, 2009Many Computer Science educators have campaigned to increase mathematical content in the computing curriculum. However, mathematical concepts are often presented in a manner that conflicts with the general mental framework, or gestalt, of CS students. Fortunately, there is more than one gestalt in mathematics.
Kirby McMaster +2 more
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Numerical Mathematics--Theory and Computer Applications.
Mathematics of Computation, 1987Mathematical Introduction * Numerical Computation * Vectors and Matrices * Series Expansions * Orthogonal Functions * Linear Operators * Difference Equations * Special Functions * Laplace Transformation * Calculus of Variations Equations * Systems of Linear Equations * Nonlinear Equations and Systems of Equations * Algebraic Eigenvalue Problems ...
David K. Kahaner, Carl-Erik Froberg
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Mathematical Theory of Duality Quantum Computers [PDF]
Quantum Information Processing, 2006 We present a mathematical theory for a new type of quantum computer called a duality quantum computer that has recently been proposed. We discuss the nonunitarity of certain circuits of a duality quantum computer and point out a paradoxical situation that occurs when mixed states are considered.
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Computational and mathematical organization theory: Perspective and directions
Computational and Mathematical Organization Theory, 1995 Computational and mathematical organization theory is an interdisciplinary scientific area whose research members focus on developing and testing organizational theory using formal models. The community shares a theoretical view of organizations as collections of processes and intelligent adaptive agents that are task oriented, socially situated ...
Kathleen M. Carley
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Mathematical Theory of Computation
1991Abstract : This project was concerned with the development of correct and reusable software through the use of higher order abstractions (function, control, assignment, process) and reflection. A semantic framework for these notions will be the basis of an experimental system for manipulating and reasoning about programs. The goals of this project were
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Mathematical and Computational Aspects of a General Viscoelastic Theory
Journal of Rheology, 1987A discussion of mathematical aspects of general stress‐strain problems involving viscoelastic materials is given. Constitutive equations are presented in a general differential form. These equations generalize the Boltzmann constitutive relations and provide a convenient way to solve stress‐strain problems.
Thomas F. Soules +3 more
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Lectures on a Mathematical Theory of Computation
1982These notes were originally written for lectures on the semantics of programming languages delivered at Oxford during Michaelmas Term 1980. The purpose of the course was to provide the foundations needed for the method of denotational semantics; in particular I wanted to make the connections with recursive function theory more definite and to show how ...
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A mathematical theory for the spread of computer viruses
Computers & Security, 1989A model is introduced to treat the spread of computer viruses mathematically. A recurrence formula is given which allows a closed expression to be derived for the probability that, starting from an initial state, a given viral state will be reached after executing exactly k programs. In some special cases this recurrence formula can be used for numeric
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