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When the objective function is twice differentiable, these cases can be distinguished by checking the second derivative or the matrix of second derivatives (called the Hessian matrix) in unconstrained problems, or the matrix of second derivatives of the objective function and the constraints called the bordered Hessian in
Linear programming problems are optimization problems in which the objective function and the constraints are all linear. In the primal problem, the objective function is a linear combination of n variables. There are m constraints, each of which places an upper bound on a linear combination of the n variables. The goal is to maximize the value ...
Influence – A publication which has significantly influenced the world or has had a massive impact on the teaching of mathematics. Among published compilations of important publications in mathematics are Landmark writings in Western mathematics 1640–1940 by Ivor Grattan-Guinness [2] and A Source Book in Mathematics by David Eugene Smith. [3]
Random variables are usually written in upper case Roman letters, such as or and so on. Random variables, in this context, usually refer to something in words, such as "the height of a subject" for a continuous variable, or "the number of cars in the school car park" for a discrete variable, or "the colour of the next bicycle" for a categorical variable.
Pseudomathematics, or mathematical crankery, is a mathematics-like activity that does not adhere to the framework of rigor of formal mathematical practice. Common areas of pseudomathematics are solutions of problems proved to be unsolvable or recognized as extremely hard by experts, as well as attempts to apply mathematics to non-quantifiable ...
Sharma playing his violin and answering arduous math questions instantly in a convention held in Nellore, Andhra Pradesh. Lakkoju Sanjeevaraya Sarma (27 November 1907 – 2 December 1998) was an Indian mathematician. [1] He gave many mathematical Avadhanams (Ganitavadhanams), educated people and surprised the elite. [citation needed]
In mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. There are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. The set of candidate solutions that satisfy all constraints is called the feasible set. [1]
"Entropy", Encyclopedia of Mathematics, EMS Press, 2001 [1994] "Entropy" Archived 4 June 2016 at the Wayback Machine at Rosetta Code—repository of implementations of Shannon entropy in different programming languages. Entropy Archived 31 May 2016 at the Wayback Machine an interdisciplinary journal on all aspects of the entropy concept. Open ...