A branch of algebra, dealing mainly with the study of the so-called $K$-functors ($K_0, K_1$, etc., cf.
...ra appear in topology. A vector space can be regarded as a special case of a
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...la is called the Riesz integral representation and Riesz representation of a superharmonic function
8 KB (1,180 words) - 17:00, 1 July 2020
$#A+1 = 85 n = 1
A [[Semi-group|semi-group]] $ e ^ {- tH } $
12 KB (1,715 words) - 22:11, 5 June 2020
$#A+1 = 71 n = 0
...[#References|[1]]], Appendix A). The modern formulation is as follows. Let a function $ f(z) $,
11 KB (1,586 words) - 07:17, 13 June 2022
$#A+1 = 38 n = 0
A recursive algorithm realizing a sequence of point-to-set mappings $ A _ {k} : V \rightarrow V $,
8 KB (1,124 words) - 11:46, 17 June 2020
$#A+1 = 201 n = 0
.../old_files/data/F042/F.0402070 Functional equation, methods of solution of a
23 KB (3,277 words) - 19:16, 16 January 2024
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...es|[a8]]] (see also [[Spectral theory of compact operators|Spectral theory of compact operators]]).
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''colligation of operators, node of operators, operator node''
15 KB (2,238 words) - 19:57, 24 November 2023
$#A+1 = 49 n = 0
...ode in which words are encoded letter by letter, and words in the alphabet of three symbols $ \{ \cdot , - , \wedge \} $(
9 KB (1,453 words) - 18:06, 15 November 2023
$#A+1 = 394 n = 0
...encyclopedia/old_files/data/L059/L.0509160 Linear differential equation in a Banach space
32 KB (4,803 words) - 17:49, 6 January 2024
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Let $a$ be a complex-valued function defined on the complex unit circle $\bf T$, with [[
13 KB (1,838 words) - 07:22, 13 February 2024
A ''scheme'' is a
...nsists of a topological space $X$ (the underlying space of the scheme) and a
12 KB (2,191 words) - 13:20, 24 November 2013
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...trami equation]]) and, more generally, second-order self-adjoint operators of Laplace type on $C ^ { \infty } ( E )$, that is, with leading symbol given
14 KB (2,008 words) - 16:55, 1 July 2020
...rems. For defining the stability concepts one must rely on the second type of boundary value problem.
...ctional-differential equation this compactness condition is not necessary. A Lipschitz-type condition will assure the existence and uniqueness even for
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...= ( V ^ { + } , V ^ { - } )$ (i.e. a pair $V = ( V ^ { + } , V ^ { - } )$ of real or complex vector spaces together with trilinear mappings $V ^ { \pm }
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...ctral analysis]] of the [[Schrödinger equation|Schrödinger equation]] with a periodic potential. In time, this method has been very well-developed and a
16 KB (2,451 words) - 17:45, 1 July 2020
$#A+1 = 79 n = 0
$#C+1 = 79 : ~/encyclopedia/old_files/data/E035/E.0305170 Eigen values of integral operators, numerical methods
11 KB (1,669 words) - 19:37, 5 June 2020
$#A+1 = 57 n = 1
...7 : ~/encyclopedia/old_files/data/D032/D.0302070 Differential equations on a torus,
12 KB (1,841 words) - 18:33, 5 June 2020
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...number field $K$ can be generated by Pisot numbers, even by Pisot units ($a _ { n } = 1$).
5 KB (723 words) - 19:03, 23 January 2024
...c equation determines the distribution function of the dynamical states of a single particle, which usually depends on time, coordinates and velocity.
...mann equation if one uses a power series expansion in terms of the density of the gas.
6 KB (882 words) - 13:51, 20 April 2014