 # function Idioms & Phrases

#### Algebraic function

• a quantity whose connection with the variable is expressed by an equation that involves only the algebraic operations of addition, subtraction, multiplication, division, raising to a given power, and extracting a given root; opposed to transcendental function.

#### Arbitrary constant, Arbitrary function

• (Math.), a quantity of function that is introduced into the solution of a problem, and to which any value or form may at will be given, so that the solution may be made to meet special requirements.

#### Arbitrary function

• . See under Arbitrary.

#### bodily function

• noun an organic process that takes place in the body
bodily process; body process; activity.
• respiratory activity

#### Calculus of functions

• that branch of mathematics which treats of the forms of functions that shall satisfy given conditions.

#### Carnot's function

• (Thermo-dynamics), a relation between the amount of heat given off by a source of heat, and the work which can be done by it. It is approximately equal to the mechanical equivalent of the thermal unit divided by the number expressing the temperature in degrees of the air thermometer, reckoned from its zero of expansion.

#### characterisic function

• noun (electronics) graph showing how a particular characteristic of a device varies with other parameters
characteristic curve.

#### circular function

• noun function of an angle expressed as a ratio of the length of the sides of right-angled triangle containing the angle
circular function.

#### Circular functions

• noun function of an angle expressed as a ratio of the length of the sides of right-angled triangle containing the angle
circular function.
##### WordNet
• . See Inverse trigonometrical functions (below). Continuous function, a quantity that has no interruption in the continuity of its real values, as the variable changes between any specified limits.

#### control function

• noun an operation that controls the recording or processing or transmission of interpretation of data
control operation.
• a control operation started the data processing

#### derived function

• noun the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx
derivative; differential; first derivative; differential coefficient.

#### Discontinuous function

• (Math.), a function which for certain values or between certain values of the variable does not vary continuously as the variable increases. The discontinuity may, for example, consist of an abrupt change in the value of the function, or an abrupt change in its law of variation, or the function may become imaginary.

#### domain of a function

• noun (mathematics) the set of values of the independent variable for which a function is defined
domain.

#### Elliptic function

• . (Math.) See Function.

#### Elliptic functions

• a large and important class of functions, so called because one of the forms expresses the relation of the arc of an ellipse to the straight lines connected therewith.

#### Explicit function

• a quantity directly expressed in terms of the independently varying quantity; thus, in the equations y = 6x2, y = 10 -x3, the quantity y is an explicit function of x.

#### exponential function

• noun a function in which an independent variable appears as an exponent
exponential.

#### function call

• noun a call that passes control to a subroutine; after the subroutine is executed control returns to the next instruction in main program

#### function word

• noun a word that is uninflected and serves a grammatical function but has little identifiable meaning
closed-class word.

#### Hyperbolic functions

• (Math.), certain functions which have relations to the hyperbola corresponding to those which sines, cosines, tangents, etc., have to the circle; and hence, called hyperbolic sines, hyperbolic cosines, etc.

#### Implicit function

• a quantity whose relation to the variable is expressed indirectly by an equation; thus, y in the equation x2 + y2 = 100 is an implicit function of x.

#### Increasing function

• (Math.), a function whose value increases when that of the variable increases, and decreases when the latter is diminished.

#### inverse function

• noun a function obtained by expressing the dependent variable of one function as the independent variable of another; f and g are inverse functions if f(x)=y and g(y)=x

#### Inverse trigonometrical functions, ∨ Circular function

• the lengths of arcs relative to the sines, tangents, etc. Thus, AB is the arc whose sine is BD, and (if the length of BD is x) is written sin -1x, and so of the other lines. See Trigonometrical function (below). Other transcendental functions are the exponential functions, the elliptic functions, the gamma functions, the theta functions, etc.

#### localisation of function

• noun (physiology) the principle that specific functions have relatively circumscribed locations in some particular part or organ of the body
localization; localization principle; localisation of function; localisation; localisation principle.

#### localization of function

• noun (physiology) the principle that specific functions have relatively circumscribed locations in some particular part or organ of the body
localization; localization principle; localisation of function; localisation; localisation principle.

#### mathematical function

• noun (mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function)
function; mathematical function; mapping; map.

#### metric function

• noun a function of a topological space that gives, for any two points in the space, a value equal to the distance between them
metric.

#### One-valued function

• a quantity that has one, and only one, value for each value of the variable.

#### Periodic function

• (Math.), a function whose values recur at fixed intervals as the variable uniformly increases. The trigonomertic functions, as sin x, tan x, etc., are periodic functions. Exponential functions are also periodic, having an imaginary period, and the elliptic functions have not only a real but an imaginary period, and are hence called doubly periodic.

#### range of a function

• noun (mathematics) the set of values of the dependent variable for which a function is defined
image; range.
• the image of f(x) = x^2 is the set of all non-negative real numbers if the domain of the function is the set of all real numbers

#### sentential function

• noun formal expression containing variables; becomes a sentence when variables are replaced by constants

#### single-valued function

• noun (mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function)
function; mathematical function; mapping; map.

#### social function

• noun a vaguely specified social event
function; affair; social occasion; occasion.
• the party was quite an affair
• an occasion arranged to honor the president
• a seemingly endless round of social functions

#### Sustentative functions

• (Physiol.), those functions of the body which affect its material composition and thus determine its mass.

#### The anharmonic function or ratio

• of four points abcd on a straight line is the quantity (ac/ad):(bc/bd), where the segments are to regarded as plus or minus, according to the order of the letters.

#### Thermodynamic function

• . See Heat weight, under Heat.

#### Theta function

• (Math.), one of a group of functions used in developing the properties of elliptic functions.

#### threshold function

• noun a function that takes the value 1 if a specified function of the arguments exceeds a given threshold and 0 otherwise

#### Transcendental function

• . (Math.) See under Function.

#### Transcendental functions

• a quantity whose connection with the variable cannot be expressed by algebraic operations; thus, y in the equation y = 10x is a transcendental function of x. See Algebraic function (above).

#### trigonometric function

• noun function of an angle expressed as a ratio of the length of the sides of right-angled triangle containing the angle
circular function.

#### Trigonometrical function

• a quantity whose relation to the variable is the same as that of a certain straight line drawn in a circle whose radius is unity, to the length of a corresponding are of the circle. Let AB be an arc in a circle, whose radius OA is unity let AC be a quadrant, and let OC, DB, and AF be drawnpependicular to OA, and EB and CG parallel to OA, and let OB be produced to G and F. E Then BD is the sine of the arc AB; OD or EB is the cosine, AF is the tangent, CG is the cotangent, OF is the secant OG is the cosecant, AD is the versed sine, and CE is the coversed sine of the are AB. If the length of AB be represented by x (OA being unity) then the lengths of Functions. these lines (OA being unity) are the trigonometrical functions of x, and are written sin x, cos x, tan x (or tang x), cot x, sec x, cosec x, versin x, coversin x. These quantities are also considered as functions of the angle BOA.

#### Vital functions

• (Physiol.), those functions or actions of the body on which life is directly dependent, as the circulation of the blood, digestion, etc.
##### Webster 1913

"Rowling never met an adverb she didn't like."

-Stephen King on J.K Rowling's excessive use of adverbs.