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mathematical programming


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mathematical programming

mathematical programming

Formal Mathematics for Verifiably Correct Program Synthesis

Constructive Mathematics in Theory and Programming Practice

Modeling Agricultural Supply Response Using Mathematical Programming and Crop Mixes

Data Envelopment Analysis: The Mathematical Programming Approach to Efficiency Analysis

Development of Statistical Discriminant Mathematical Programming Model Via Resampling Estimation Techniques

Non-Functional Requirements Framework: A Mathematical Programming Approach

An Intervention Program for Promoting Deaf Pupils’ Achievement in Mathematics

Symbolic Mathematics Programs: A Tool for the Applied Economist

A mathematical programming approach for gene selection and tissue classification

Optimal design and mathematical model applied to establish bioassay programs

Integrating Agri-Environmental Programs into Regional Production Models: An Extension of Positive Mathematical Programming

From mathematical logic to programming-language semantics: a discussion with Tony Hoare

RZ: a Tool for Bringing Constructive and Computable Mathematics Closer to Programming Practice

Presenting practical application of Mathematics by the use of programming software with easily available visual components

A fast mathematical programming procedure for simultaneous fitting of assembly components into cryoEM density maps

Curtis Franks. The Autonomy of Mathematical Knowledge: Hilbert's Program Revisted. Cambridge: Cambridge University Press, 2009. ISBN 978-0-521-51437-8. Pp. xiii+213†

 

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A wide field of study that deals with the theory, applications, and computational methods for optimization problems. An abstract formulation of such problems is to maximize a function f (known as an objective function) over a constraint set S, i.e. maximize f(x), xSRn, where Rn denotes the space of real n-component vectors x, x = (x1,x2,…,xn)T and f is a real-valued function defined on S. If S consists only of vectors whose elements are integers, then the problem is one of integer programming. Linear programming treats the case of f as a linear function with S defined by linear equations and/or constraints. Nonlinear objective functions with or without constraints (defined by systems of nonlinear equations) give rise to problems generally referred to as optimization problems.

maximize f(x), xSRn,

x = (x1,x2,…,xn)T

Mathematical-programming problems arise in engineering, business, and the physical and social sciences.

Subjects: Computing.


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