Section 4.3
... Recall from Section 4.1 that, if f has a local maximum or minimum at c, then c must be a critical number of f (by Fermat’s Theorem). However, not every critical number gives rise to a maximum or a minimum. So, we need a test that will tell us whether or not f has a local maximum or minimum at a ...
... Recall from Section 4.1 that, if f has a local maximum or minimum at c, then c must be a critical number of f (by Fermat’s Theorem). However, not every critical number gives rise to a maximum or a minimum. So, we need a test that will tell us whether or not f has a local maximum or minimum at a ...
Lambda λ Calculus
... ● Proof that predicate logic is undecidable ● Church-Rosser Theorem: when applying reduction rules to terms in the lambda calculus, the ordering in which the reductions are chosen does not make a difference to the eventual result ...
... ● Proof that predicate logic is undecidable ● Church-Rosser Theorem: when applying reduction rules to terms in the lambda calculus, the ordering in which the reductions are chosen does not make a difference to the eventual result ...
Mathematical optimization
In mathematics, computer science and operations research, mathematical optimization (alternatively, optimization or mathematical programming) is the selection of a best element (with regard to some criteria) from some set of available alternatives.In the simplest case, an optimization problem consists of maximizing or minimizing a real function by systematically choosing input values from within an allowed set and computing the value of the function. The generalization of optimization theory and techniques to other formulations comprises a large area of applied mathematics. More generally, optimization includes finding ""best available"" values of some objective function given a defined domain (or a set of constraints), including a variety of different types of objective functions and different types of domains.