''in the theory of partial differential equations''
The same as a [[Characteristic|characteristic]].
101 bytes (13 words) - 16:57, 7 February 2011
''of a topological space $X$''
...as the same [[homotopy type]] as does $X$. See also [[Retract]]; [[Retract of a topological space]].
536 bytes (94 words) - 19:45, 5 February 2016
...0.998 ; Note: I don't know of any package which represents the real part as such.
....org/legacyimages/m/m130/m130250/m13025039.png ; $7$ ; confidence 0.929 ; As Rui pointed out to me, this is a strange symbol
1 KB (136 words) - 14:04, 1 July 2020
...an integral of irreducible ones? I've heard about "integral representation of states" and barycentric decomposition but didn't have the time to check it
...which made me think it was impossible to write an arbitrary representation of a $C^*$-algebra from irreducible representations.
657 bytes (100 words) - 16:46, 15 May 2014
...egardless of its origin. A syntactic language is used to study this aspect of formal systems.
...a formal system, two languages are connected: one is the research language of the formal system itself (the object language) and the other is that in whi
2 KB (394 words) - 17:28, 7 February 2011
''of a stochastic process''
The same as the [[Correlogram|correlogram]].
73 bytes (10 words) - 17:04, 7 February 2011
...function (or that of some derivative of it) or a majorant of it may figure as $\phi(\tau)$.
...f. [[Approximation of functions, direct and inverse theorems|Approximation of functions, direct and inverse theorems]]).
2 KB (326 words) - 09:43, 26 April 2014
Out of 20 formulas, 20 were replaced by TEX code.-->
...ports. It can be extended as a sheaf morphism to an imbedding of the space of distributions $\mathcal{D} ^ { \prime } ( \Omega )$.
2 KB (342 words) - 16:45, 1 July 2020
...nd [[Non-Euclidean geometries|non-Euclidean geometries]]. The trigonometry of a sphere in Euclidean space is called [[Spherical trigonometry|spherical tr
639 bytes (81 words) - 17:07, 7 February 2011
...which any even natural number larger than 2 can be represented as the sum of two prime numbers.
...oth the Goldbach–Euler problem and the more general problem of solvability of the linear Diophantine equation
1 KB (201 words) - 20:18, 14 October 2014
...ins unchanged in all its applications. The number of possible applications of a given rule, however, is in principle unlimited.
...ithms, whether $P_0$ is deducible from $P_1,\ldots,P_l$ by one application of the rule.
3 KB (431 words) - 19:19, 17 October 2014
...his inequality appeared as late as 1884 (without any reference to the work of Bunyakovskii).
2. W. Rudin, "Principles of mathematical analysis" , McGraw-Hill (1953)
2 KB (248 words) - 09:09, 31 May 2016
...tertiary ideals are the same as [[primary ideal]]s (cf. [[Additive theory of ideals]]; [[Primary decomposition]]).
...there exists a tertiary radical, $\mathrm{ter}(Q)$, the largest ideal $T$ of $R$ such that, for any ideal $B$,
2 KB (297 words) - 19:23, 5 October 2017
...h any node and connect it to the node nearest to it. Given a connected set of nodes, take the unconnected node that is nearest to one in the connected se
...ideas. See [[#References|[a1]]] for more details and for the justification of such methods.
2 KB (387 words) - 15:16, 20 November 2014
The same as the [[Antinomy|antinomy]] of Epimenides.
65 bytes (10 words) - 12:47, 27 August 2014
A polynomial in several variables all terms of which are of the same degree.
...om each form one can obtain a multilinear form by a certain process, known as the [[Polarization identity|polarization process]].
1 KB (237 words) - 07:31, 19 January 2016
...e $ \| | \dots | \| $, and $ |T| $ is the "linear modulus" $ T \vee (-T) $ of operator $T$ (and "$\vee$" is the lattice maximum). [[User:Boris Tsirelson|
568 bytes (75 words) - 06:16, 19 April 2017
A [[topological space]] which cannot be expressed as a non-trivial union of disjoint [[closed set|closed subset]]s
173 bytes (25 words) - 14:45, 3 January 2016
...a magic magnetic gate through which an armed person could not pass as well as about compasses.
...are the [[Maxwell equations|Maxwell equations]] describing the interaction of electric and magnetic fields in physical media. See also [[Electromagnetism
1 KB (211 words) - 14:43, 1 May 2014
...metric completion of a metric totally-bounded space is compact. The image of a totally-bounded space under a uniformly continuous mapping is a totally-b
...TD valign="top"> A.N. Kolmogorov, S.V. Fomin, "Elements of the theory of functions and functional analysis" , '''1–2''' , Graylock (1957–1961)
2 KB (349 words) - 13:16, 12 December 2013