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...an a plain file in these systems, because it has a ''history'' which is an integral part of it; the history records every single change made to a page, along w ...onnection to the concept of 'page' in the [[WWW]], where it again means an integral unit of data - although without the additional 'history' [[semantics]] whic

'''Fourier operator''' is linear integral operator with the exponential [[kernel]]. If the integral converges, then, function <math>B</math> is called '''Fourier transform'''

This involves evaluating the overlap integral directly from the definition of the associated Legendre functions given in ''l'' + ''m'' times, where the curly brackets in the integral indicate the factors, the first being

...[Discrete Cosine transform]]); it is one of many discrete analogies of the integral operator [[CosFourier]] <math>\displaystyle Then, in the definition of the [[CosFourier]] transform, the integral can be replaced with sum, giving

...re ''u'' is a unit, then ''a'' and ''b'' are associates. If ''R'' is an [[integral domain]], then the converse is true.

...integral or half-integral, depending on whether ''j'' is integral or half-integral. ...'' is integral when ''m'' is integral and half-integral when ''m'' is half integral. Note that ''a''² = ''j'' (''j'' + 1).

[[Tetration]], [[Suprfunction]], [[TORI]], [[Cauchi integral]]

A '''Noetherian domain''' is a Noetherian ring which is also an [[integral domain]].

...s is a function that is equal to zero everywhere except for ''x'' = 0; the integral of this function is equal to 1". ...''contradictory''. It does not matter what value is put at ''x'' = 0, the integral of such a function will always be equal to zero. Moreover, if one puts "<m

...form a subring denoted by ''O''_''K''. This may be seen as the [[integral closure]] of the ring of [[integer]]s '''Z''' in ''K''. The ring of intege The ring of integers is an [[integral domain]], but does not in general have the desirable factorisation properti

Important integral relations are: The latter integral for ''n'' = ''m'' = 0

The ''degree of homogeneity'' ''p'' is a positive integral number.

...y the total amount of heat absorbed by the system, ''Q'', is written as an integral. The other integrals have the usual definition of [[integral]]s of functions. The final equation (valid for an isobaric process) is

where the sum extends over the set of integral [[ideals]] of ''k'', and <math> \mathfrak{N} (\mathfrak{a}) </math> denotes

where d'''S''' is a vector normal to the surface of the tube. The integral is zero for the long sides of the tube, because '''H''' and d'''S''' are or ...and ''bd'' the integral is zero because of orthogonality. Along ''cd'' the integral is zero because ''cd'' is outside the solenoid, where the field is zero. Al

...ry positive rational number can be written uniquely as a finite product of integral powers of prime numbers (and such factorization or a rational number corres

...rent ''I'' is related to the current density '''J'''('''r''') by a surface integral. Since '''J''' is everywhere zero, except over the surface of the wire (blu The surface integral contains the [[inner product]] between the current density '''J''' (a vecto

*The [[Lebesgue integral]] <math> \int_{-\infty}^{\infty} f(s)ds</math> exists and evaluates to exac ...e function <math>F:(-\infty,\infty)\rightarrow [0,1]</math> defined as the integral:

...t'' [[cell]] divides into two or more ''daughter'' cells and is usually an integral part of the [[cell cycle]]. This type of cell division is called ''mitosis'

TACAN signals are an integral part of the Joint Tactical Information Distribution System (JTIDS).