applicative order reduction - meaning and definition. What is applicative order reduction
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What (who) is applicative order reduction - definition

TECHNIQUE FOR SOLVING LINEAR ORDINARY DIFFERENTIAL EQUATIONS
Reduction of Order

applicative order reduction         
WIKIMEDIA DISAMBIGUATION PAGE
Reduction strategy (code optimization); Applicative order reduction; Reduction strategy (lambda calculus)
<programming> An evaluation strategy under which an expression is evaluated by repeatedly evaluating its leftmost innermost redex. This means that a function's arguments are evaluated before the function is applied. This method will not terminate if a function is given a non-terminating expression as an argument even if the function is not strict in that argument. Also known as call-by-value since the values of arguments are passed rather than their names. This is the evaluation strategy used by ML, Scheme, Hope and most procedural languages such as C and Pascal. See also normal order reduction, parallel reduction. (1995-01-25)
reduction strategy         
WIKIMEDIA DISAMBIGUATION PAGE
Reduction strategy (code optimization); Applicative order reduction; Reduction strategy (lambda calculus)
<theory> An algorithm for deciding which redex(es) to reduce next. Different strategies have different termination properties in the presence of recursive functions or values. See string reduction, normal order reduction, {applicative order reduction}, parallel reduction (1995-05-09)
Reduction strategy         
WIKIMEDIA DISAMBIGUATION PAGE
Reduction strategy (code optimization); Applicative order reduction; Reduction strategy (lambda calculus)
In rewriting, a reduction strategy or rewriting strategy is a relation specifying a rewrite for each object or term, compatible with a given reduction relation. Some authors use the term to refer to an evaluation strategy.

Wikipedia

Reduction of order

Reduction of order (or d’Alembert reduction) is a technique in mathematics for solving second-order linear ordinary differential equations. It is employed when one solution y 1 ( x ) {\displaystyle y_{1}(x)} is known and a second linearly independent solution y 2 ( x ) {\displaystyle y_{2}(x)} is desired. The method also applies to n-th order equations. In this case the ansatz will yield an (n−1)-th order equation for v {\displaystyle v} .