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Etymologie

Was (wer) ist function part - definition

MATHEMATICAL FUNCTIONS

Odd function; Odd functions; Even function; Even functions; Even/odd function; Odd and even functions; Even–odd decomposition; Even part of a function; Odd part of a function; Even-odd decomposition

$The [[cosine function]] and all of its [[Taylor polynomials]] are even functions. This image shows <math>\cos(x)</math> and its Taylor approximation of degree 4.$
$The [[sine function]] and all of its [[Taylor polynomial]]s are odd functions. This image shows <math>\sin(x)</math> and its Taylor approximations, polynomials of degree 1, 3, 5, 7, 9, 11 and 13.$

Standard part function

IN NON-STANDARD ANALYSIS, THE STANDARD PART FUNCTION IS A FUNCTION FROM THE LIMITED (FINITE) HYPERREAL NUMBERS TO THE REAL NUMBERS.

Standard part; Shadow (mathematics); Standard part principle

In nonstandard analysis, the standard part function is a function from the limited (finite) hyperreal numbers to the real numbers. Briefly, the standard part function "rounds off" a finite hyperreal to the nearest real.

https://en.wikipedia.org/wiki/Standard_part_function

Part song

FORM OF CHORAL MUSIC

Part songs; Part-song; Part-singing; Part singing; Part-songs; Partsong; Partsongs

A part song, part-song or partsong is a form of choral music that consists of a song to a secular or non-liturgical sacred text, written or arranged for several vocal parts. Part songs are commonly sung by an SATB choir, but sometimes for an all-male or all-female ensemble.

https://en.wikipedia.org/wiki/Part_song

part song

FORM OF CHORAL MUSIC

Part songs; Part-song; Part-singing; Part singing; Part-songs; Partsong; Partsongs

¦ noun a secular song with three or more voice parts, typically unaccompanied, and homophonic rather than contrapuntal in style.

Wikipedia

Even and odd functions

In mathematics, even functions and odd functions are functions which satisfy particular symmetry relations, with respect to taking additive inverses. They are important in many areas of mathematical analysis, especially the theory of power series and Fourier series. They are named for the parity of the powers of the power functions which satisfy each condition: the function $f(x)=x^{n}$ is an even function if n is an even integer, and it is an odd function if n is an odd integer.

https://en.wikipedia.org/wiki/Even and odd functions