function 音標拼音: [f'ʌŋkʃən]

n . 功能,函數

vi . 活動,運行,行使職責

n . 功能,函數

功能,函數活動,運行,行使職責功能,函數

function 函數; 作用

FCT
function 解析函數產生器

function 仟意函數產生器

function "或非"函數

function 函數表

function 應用功能

function 功能 函數

function n 1 : (

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 ) [

synonym : {

function }, {

mathematical function },

{

single -

valued function }, {

map }, {

mapping }]

2 :

what something is used for ; "

the function of an auger is to bore holes "; "

ballet is beautiful but what use is it ?" [

synonym :

{

function }, {

purpose }, {

role }, {

use }]

3 :

the actions and activities assigned to or required or expected of a person or group ; "

the function of a teacher ";

"

the government must do its part "; "

play its role " [

synonym :

{

function }, {

office }, {

part }, {

role }]

4 :

a relation such that one thing is dependent on another ;

"

height is a function of age "; "

price is a function of supply and demand "

5 :

a formal or official social gathering or ceremony ; "

it was a black -

tie function "

6 :

a vaguely specified social event ; "

the party was quite an affair "; "

an occasion arranged to honor the president "; "

a seemingly endless round of social functions " [

synonym : {

affair },

{

occasion }, {

social occasion }, {

function }, {

social function }]

7 :

a set sequence of steps ,

part of larger computer program [

synonym : {

routine }, {

subroutine }, {

subprogram }, {

procedure },

{

function }]

v 1 :

perform as expected when applied ; "

The washing machine won '

t go unless it '

s plugged in "; "

Does this old car still run well ?"; "

This old radio doesn '

t work anymore " [

synonym :

{

function }, {

work }, {

operate }, {

go }, {

run }] [

ant :

{

malfunction }, {

misfunction }]

2 :

serve a purpose ,

role ,

or function ; "

The tree stump serves as a table "; "

The female students served as a control group ";

"

This table would serve very well "; "

His freedom served him well "; "

The table functions as a desk " [

synonym : {

serve },

{

function }]

3 :

perform duties attached to a particular office or place or function ; "

His wife officiated as his private secretary "

[

synonym : {

officiate }, {

function }]

Fluent \

Flu "

ent \,

n .

1 .

A current of water ;

a stream . [

Obs .]

[

1913 Webster ]

2 . [

Cf .

F .

fluente .] (

Math .)

A variable quantity ,

considered as increasing or diminishing ; --

called ,

in the modern calculus ,

the {

function }

or {

integral }.

[

1913 Webster ]

Function \

Func "

tion \,

n . [

L .

functio ,

fr .

fungi to perform ,

execute ,

akin to Skr .

bhuj to enjoy ,

have the use of :

cf .

F .

fonction .

Cf . {

Defunct }.]

1 .

The act of executing or performing any duty ,

office ,

or calling ;

performance . "

In the function of his public calling ." --

Swift .

[

1913 Webster ]

2 . (

Physiol .)

The appropriate action of any special organ or part of an animal or vegetable organism ;

as ,

the function of the heart or the limbs ;

the function of leaves ,

sap ,

roots ,

etc .;

life is the sum of the functions of the various organs and parts of the body .

[

1913 Webster ]

3 .

The natural or assigned action of any power or faculty ,

as of the soul ,

or of the intellect ;

the exertion of an energy of some determinate kind .

[

1913 Webster ]

As the mind opens ,

and its functions spread . --

Pope .

[

1913 Webster ]

4 .

The course of action which peculiarly pertains to any public officer in church or state ;

the activity appropriate to any business or profession .

[

1913 Webster ]

Tradesmen . . .

going about their functions . --

Shak .

[

1913 Webster ]

The malady which made him incapable of performing his regal functions . --

Macaulay .

[

1913 Webster ]

5 . (

Math .)

A quantity so connected with another quantity ,

that if any alteration be made in the latter there will be a consequent alteration in the former .

Each quantity is said to be a function of the other .

Thus ,

the circumference of a circle is a function of the diameter .

If x be a symbol to which different numerical values can be assigned ,

such expressions as x ^{

2 },

3 ^{

x },

Log .

x ,

and Sin .

x ,

are all functions of x .

[

1913 Webster ]

6 . (

Eccl .)

A religious ceremony ,

esp .

one particularly impressive and elaborate .

Every solemn `

function '

performed with the requirements of the liturgy . --

Card .

Wiseman .

[

Webster 1913 Suppl .]

7 .

A public or social ceremony or gathering ;

a festivity or entertainment ,

esp .

one somewhat formal .

This function ,

which is our chief social event . --

W .

D .

Howells .

[

Webster 1913 Suppl .]

{

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 function }.

See under {

Arbitrary }.

{

Calculus of functions }.

See under {

Calculus }.

{

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 .

{

Circular functions }.

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 .

{

Discontinuous function }.

See under {

Discontinuous }.

{

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 =

6x ^{

2 },

y =

10 -

x ^{

3 },

the quantity y is an explicit function of x .

{

Implicit function },

a quantity whose relation to the variable is expressed indirectly by an equation ;

thus ,

y in the equation x ^{

2 }

y ^{

2 } =

100 is an implicit function of x .

{

Inverse trigonometrical functions },

or {

Circular functions },

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 ^{-

1 }

x ,

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 .

{

One -

valued function },

a quantity that has one ,

and only one ,

value for each value of the variable . -- {

Transcendental functions },

a quantity whose connection with the variable cannot be expressed by algebraic operations ;

thus ,

y in the equation y =

10 ^{

x }

is a transcendental function of x .

See {

Algebraic function } (

above ). -- {

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 .

Function
Function \

Func "

tion \ (

f [

u ^][

ng ]

k "

sh [

u ^]

n ),

Functionate \

Func "

tion *

ate \,

v .

i .

To execute or perform a function ;

to transact one '

s regular or appointed business .

[

1913 Webster ]

206 Moby Thesaurus words for "

function ":

IC analysis ,

act ,

act as ,

acting ,

action ,

activism ,

activities ,

activity ,

affair ,

affairs ,

aim ,

ambition ,

animus ,

appositive ,

aspiration ,

assignment ,

attribute ,

attributive ,

baccalaureate service ,

bag ,

banquet ,

be effective ,

be in action ,

behave ,

behavior ,

business ,

capacity ,

celebration ,

ceremonial ,

ceremony ,

character ,

chore ,

commencement ,

commerce ,

commission ,

complement ,

concern ,

concernment ,

construction modifier ,

convocation ,

counsel ,

cutting ,

deep structure ,

desideration ,

desideratum ,

design ,

desire ,

determination ,

dinner ,

direct object ,

do duty ,

doing ,

duty ,

effect ,

employ ,

employment ,

empty formality ,

end use ,

enterprise ,

event ,

exercise ,

exercises ,

faculty ,

filler ,

fixed purpose ,

form ,

form of worship ,

form -

function unit ,

formal ,

formality ,

formula ,

formulary ,

functioning ,

gala ,

gathering ,

go ,

goal ,

graduation ,

graduation exercises ,

have effect ,

have free play ,

have play ,

holy rite ,

idea ,

immediate constituent analysis ,

immediate purpose ,

inaugural ,

inauguration ,

indirect object ,

initiation ,

institution ,

intendment ,

intent ,

intention ,

interest ,

job ,

labor ,

levels ,

liturgy ,

lookout ,

make ,

mark ,

matter ,

meaning ,

militate ,

mind ,

mission ,

mode of worship ,

modifier ,

motive ,

move ,

movements ,

mummery ,

mystery ,

nisus ,

object ,

objective ,

observance ,

occasion ,

occupation ,

office ,

officiate ,

operate ,

operation ,

operational purpose ,

operations ,

order of worship ,

ordinance ,

part ,

party ,

percolate ,

perform ,

perform as ,

performance ,

perk ,

phrase structure ,

place ,

plan ,

play ,

point ,

position ,

practice ,

praxis ,

predicate ,

prescribed form ,

proceed ,

project ,

proposal ,

prospectus ,

province ,

purpose ,

qualifier ,

raison d '

etre ,

ranks ,

reception ,

religious ceremony ,

resolution ,

resolve ,

responsibility ,

rite ,

rite de passage ,

rite of passage ,

ritual ,

ritual observance ,

rituality ,

role ,

run ,

sacrament ,

sacramental ,

sake ,

serve ,

service ,

shallow structure ,

slot ,

slot and filler ,

solemnity ,

solemnization ,

strata ,

striving ,

structure ,

study ,

subject ,

surface structure ,

swing ,

syntactic analysis ,

syntactic structure ,

syntactics ,

syntax ,

tagmeme ,

take effect ,

target ,

task ,

thing ,

tick ,

ultimate purpose ,

underlying structure ,

undertaking ,

use ,

view ,

will ,

word arrangement ,

word order ,

work ,

work as ,

working ,

workings 1 .

(Or "map ", "mapping ") If D and C are sets
(the domain and codomain ) then a function f from D to C ,
normally written "f : D -> C " is a subset of D x C such that :
1 . For each d in D there exists some c in C such that (d ,c ) is
an element of f . I .e . the function is defined for every
element of D .
2 . For each d in D , c1 and c2 in C , if both (d ,c1 ) and (d ,c2 )
are elements of f then c1 = c2 . I .e . the function is uniquely
defined for every element of D .
See also {image }, {inverse }, {partial function }.
2 . Computing usage derives from the mathematical
term but is much less strict . In programming (except in
{functional programming }), a function may return different
values each time it is called with the same argument values
and may have {side effects }.
A {procedure } is a function which returns no value but has
only {side -effects }. The {C } language , for example , has no
procedures , only functions . {ANSI C } even defines a {type },
{void }, for the result of a function that has no result .
(1996 -09 -01 )
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