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encyclop(a)edic
analytische Funktion
в PONS речника
Запис в OpenDict
analytic function СЪЩ
в PONS речника
I. func·tion [ˈfʌŋ(k)ʃən] СЪЩ
1. function (task):
function of a person
Aufgabe f <-, -n>
function of a person
Pflicht f <-, -en>
function of the heart, a tool
Funktion f <-, -en>
zu etw дат dienen
2. function usu sing (result):
aus etw дат resultieren
3. function MATH:
Funktion f <-, -en>
4. function:
Feier f <-, -n>
Veranstaltung f <-, -en>
II. func·tion [ˈfʌŋ(k)ʃən] ГЛАГ нпрх
to function as sth thing
to function as sth person
Запис в OpenDict
function СЪЩ
Present
Ifunction
youfunction
he/she/itfunctions
wefunction
youfunction
theyfunction
Past
Ifunctioned
youfunctioned
he/she/itfunctioned
wefunctioned
youfunctioned
theyfunctioned
Present Perfect
Ihavefunctioned
youhavefunctioned
he/she/ithasfunctioned
wehavefunctioned
youhavefunctioned
theyhavefunctioned
Past Perfect
Ihadfunctioned
youhadfunctioned
he/she/ithadfunctioned
wehadfunctioned
youhadfunctioned
theyhadfunctioned
PONS OpenDict

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From that time onwards it would be assumed that analytic function theory, which had already unified the trigonometric and exponential functions, was a fundamental tool.
en.wikipedia.org
Conversely, given any harmonic function in two dimensions, it is the real part of an analytic function, at least locally.
en.wikipedia.org
However, the square of the distance (denoted or), which has a paraboloid as its graph, is a smooth and analytic function.
en.wikipedia.org
The initial impetus was to have a description of the properties of the domain of definition of the (maximal) analytic continuation of an analytic function.
en.wikipedia.org
One can easily prove that any analytic function of a real argument is smooth.
en.wikipedia.org