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...rtant that the [[linear span]] $\mathbf{k} : = \{ K ( a , b ) \} _ { \text{span} }$ of the set $K ( a , b )$ makes a Jordan triple system of $( \text { End
8 KB (1,154 words) - 19:44, 27 February 2021
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...inear mapping]] $V \times V \times V \rightarrow V$, is mainly used in the theory of non-associative algebras and appears in the construction of Lie algebras
3 KB (498 words) - 19:51, 27 February 2021
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...{A}$ has finite [[Codimension|codimension]] in $C ( X )$, and the [[linear span]] of $\operatorname { log } | A ^ { - 1 } |$ is dense in $\operatorname { R
3 KB (474 words) - 19:56, 27 February 2021
..."top">[2]</TD> <TD valign="top"> N. Bourbaki, "Elements of mathematics. Theory of sets" , Addison-Wesley (1968) (Translated from French)</TD></TR></tabl
...ry]]; [[Sets, category of|Sets, category of]]). More precisely, a concrete category is a pair $ ( {\mathcal C}, U) $
11 KB (1,705 words) - 14:55, 7 June 2020
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...the formula is exact for all trigonometric polynomials in $\operatorname { span } \{ z ^ { - n - 1 } , \dots , z ^ { - 1 } , 1 , z , \dots , z ^ { n - 1 }
3 KB (454 words) - 16:59, 1 July 2020
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...of $D$. If the diagram is prime and non-alternating, then $\operatorname { span } \langle D \rangle < 4 c ( D )$.
7 KB (1,054 words) - 07:42, 10 February 2024
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...ing|Derivation in a ring]]). Thus one denotes $\{ L ( x , y ) \} _ { \text{span} }$ by $\operatorname{Inn} \, \operatorname{Der}A$.
3 KB (559 words) - 16:43, 15 March 2023
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...h a process is called a renewal process (cf. also [[Renewal theory|Renewal theory]]) and objects of interest are the behaviour for large (time) $t$:
10 KB (1,526 words) - 19:03, 23 January 2024
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...t set can be shown to be norm separable, and hence so is its closed linear span) and ${\bf l}_1 ( \Gamma )$ if $\Gamma$ is uncountable (here, a weakly comp
16 KB (2,514 words) - 19:53, 23 December 2023
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...em). Minimal unitary dilations and functions of them, defined via spectral theory, allow one to construct a functional calculus for contractive operators. Th
6 KB (897 words) - 20:02, 27 February 2021
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...ents, method of (in probability theory)|Moments, method of (in probability theory)]]). For example, if $\psi$ is a probability distribution on a set $I \subs
6 KB (888 words) - 18:32, 21 December 2020
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$\mathcal{O} _ { N }$ has been introduced in [[#References|[a2]]]. The linear span $\mathcal{H}$ of all $S _ { i }$ is a Hilbert space in $\mathcal{O} _ { N }
11 KB (1,565 words) - 07:20, 25 January 2024
...implex in $K_2$. Simplicial complexes and their simplicial mappings form a category.
...|$ is a covariant functor from the category of simplicial complexes to the category of cellular spaces. A topological space $X$ homeomorphic to the body $|K|$
11 KB (1,773 words) - 09:56, 13 February 2024
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\begin{equation*} W _ { n } = \operatorname { span } _ { \text{C} } \left\{ \frac { \partial ^ { k } \Psi _ { 1 , n } ( x , z
8 KB (1,147 words) - 17:45, 1 July 2020
whose translates span a finite-dimensional vector space and let $ S ( R) $
There is also an algebraic description of the category of algebras $ R $,
10 KB (1,483 words) - 17:06, 13 June 2020
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$\phi \in \operatorname { Span } ( 1 , v _ { j } , | v | ^ { 2 } )$, and the entropy inequality
13 KB (2,050 words) - 16:58, 1 July 2020
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S^{\lambda} = \operatorname{span} \{ e_t : t \text{ a }\lambda\text{-tableau } \}
8 KB (1,203 words) - 10:18, 11 November 2023
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...e conjectures]] [[#References|[a4]]], and also led to the development of a theory of automorphic products [[#References|[a5]]].
14 KB (2,218 words) - 10:27, 11 November 2023
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...rthogonal polynomials of degree $n$ (that is, $V _ { n } = \operatorname { span } \left\{ V _ { n } ^ { n - 2 j } : 0 \leq j \leq n \right\}$) satisfy a di
8 KB (1,192 words) - 08:49, 10 November 2023
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..." in string theory [[#References|[a9]]] and its precursor, dual resonance theory; the term refers more specifically to the closely related operators used in
8 KB (1,142 words) - 16:46, 1 July 2020
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...to study both prime rings satisfying generalized identities and the Galois theory of semi-prime rings (cf. also [[Prime ring|Prime ring]]; [[Rings and algebr
9 KB (1,402 words) - 13:37, 25 November 2023
...icense'. All pages from StatProb are contained in the [[:Category:Statprob|Category StatProb]].
...eneral, i.i.d. integer-valued random variables $X_1,...,X_n$, with lattice span 1, mean $\mu$, variance $\sigma^2$, and finite moments of order at least fo
11 KB (1,719 words) - 20:18, 12 March 2016
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...le coefficients was posed (avoiding singular points, as needed even in the theory of ordinary differential equations). H. Lewy [[#References|[a5]]] found the
8 KB (1,236 words) - 19:09, 26 March 2023
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A [[Quantum field theory|quantum field theory]] contains massive fields if the [[Hilbert space|Hilbert space]] obtained b
9 KB (1,385 words) - 20:57, 8 February 2024
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...hening of the pointwise ergodic theorem (cf. also [[Ergodic theory|Ergodic theory]]) announced in [[#References|[a21]]] and stating that if $( X , \mathcal{F
9 KB (1,431 words) - 17:03, 1 July 2020
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...y if it is positive definite. Thus, $B ( G )$ can be defined as the linear span of the set $P ( G )$ of continuous positive-definite functions on $G$. This
14 KB (2,163 words) - 19:56, 8 February 2024
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...ach space]] $\mathcal{X}$ (cf. also [[Representation theory|Representation theory]]). The space $\mathcal{X}$ may be quite arbitrary, but for definiteness, c
14 KB (2,151 words) - 17:43, 1 July 2020
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...ferential equations with periodic coefficients]]; [[Floquet theory|Floquet theory]]). In physics, it goes under the name Bloch waves method because it was F.
16 KB (2,451 words) - 17:45, 1 July 2020
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...cal and quantum mechanics, the position, momentum and constant observables span the Heisenberg Lie algebra $\mathfrak{h} _ { n }$ over $\mathbf{R} ^ { 2 n
17 KB (2,575 words) - 16:58, 1 July 2020
[[Category:Algebra]]
...e identified with the [[Grothendieck group]] of the [[Modules, category of|category]] of $\Ql H$-modules).
48 KB (8,458 words) - 18:22, 13 August 2023
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...e invariant subspace (M.A. Naimark; for applications in the representation theory of groups in $ \pi _ \kappa $-
32 KB (4,628 words) - 10:55, 20 January 2024
...icense'. All pages from StatProb are contained in the [[:Category:Statprob|Category StatProb]].
a subspace $V_B\subset\R^k$ equal to the span of the columns of~$B$.
36 KB (5,856 words) - 18:32, 17 April 2024
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...under $\mathcal{H}$ after replacing $\mathbf{X}$ by a matrix whose columns span $\omega$. If $\mathbf{X}$ is not of maximal rank, then a generalized invers
56 KB (8,477 words) - 17:45, 1 July 2020