# functional

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Related to functional method: functional form

## functional

1. Psychol
a. relating to the purpose or context of a behaviour
b. denoting a psychosis such as schizophrenia assumed not to have a direct organic cause, like deterioration or poisoning of the brain
2. Maths a function whose domain is a set of functions and whose range is a set of functions or a set of numbers
Collins Discovery Encyclopedia, 1st edition © HarperCollins Publishers 2005
The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

## Functional

a mathematical concept originating in the calculus of variations, where it denotes a variable that depends on one or more functions or curves. Examples of functionals are the area bounded by a closed curve of a given length and the work of a force field along a curve. As functional analysis developed, the term “functional” acquired the more general sense of a numbervalued function defined on a linear space.

## functional

[′fəŋk·shən·əl]
(computer science)
In a linear programming problem involving a set of variables xj , j = 1, 2, …, n, a function of the form c1 x1+ c2 x2+ ⋯ + cn xn (where the cj are constants) which one wishes to optimize (maximize or minimize, depending on the problem) subject to a set of restrictions.
(mathematics)
Any function from a vector space into its scalar field.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

## functional

(1)
Working correctly.

## functional

(2)
Pertaining to functional programming.

## functional

(3)
References in periodicals archive ?
Finally, Section IV.C contends that the functional method is inconsistent with the categorical approach, the default interpretive framework in ACCA cases.
By hinging the divisibility analysis on a judge's intuition regarding the means of committing a crime, the functional method permits a judge to by-pass the categorical approach in favor of a fact-based inquiry into the defendant's prior conduct--precisely the inquiry the Supreme Court rejected in Taylor.
The functional method, however, places no limit on the judge's ability to reach the modified categorical approach.
The functional method, however, would just as easily have allowed the Ford court to divide the Kentucky escape law in a more artificial way designed to allow the judge to reach the modified categorical approach: "escapes involving a serious potential risk of injury to another" and "escapes not involving a serious potential risk of injury to another." The court could then have consulted the Shepard documents, viewed the facts that led to the defendant's conviction, and categorized that conviction accordingly.
(162) Because the functional method permits courts to fashion categories without direction from the statutory text, these courts can create conduct-based distinctions that lack significant differences in degree of risk posed and that stifle uniform application.
The debate over whether to use the formal or functional method to divide a statute and employ the modified categorical approach is an example of the familiar distinction between "rules" and "standards." (163) The formal method is a rule-based system because the sentencing outcome is determined by the existence of an objective factor: whether the statute's text includes both violent and nonviolent ways of committing the crime.
Because functional-method courts will divide statutes and employ the modified categorical approach more often than formal-method courts, the functional method presents a more significant Apprendi concern than the formal method.
This method also requires the staff to be more sophisticated than is the case in the functional method because each staff member needs to be familiar with a much broader range of technical areas.
In this work, the initial-boundary value problems for the diffusion equation on Cantor sets within the local fractional derivatives were investigated by using the local fractional functional method, which is a coupling method for local fractional Fourier series and Laplace transform based upon the nondifferentiable decomposition of the function with the nondifferentiable systems.
Bonds and the Thermodynamic Properties Dependent on Functional Methods. Different bond distances of ruthenium-ligands (Ru-L) which are reported in the literatures from their crystal structures are shown in Table 1.
Generally, we observed that the reproducibility of most of the properties is much easier using different basis sets compared to using different functional methods as a result of significant geometrical changes which is possible especially if there are many light atoms like hydrogen atoms as in the models.
Barone, "Toward reliable density functional methods without adjustable parameters: the PBE0 model," Journal of Chemical Physics, vol.

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