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and $ \delta $
8 KB (1,166 words) - 19:43, 5 June 2020
order $n$ is the convex hull of the set of $n^n$ stochastic matrices
consisting of zeros and ones. Any stochastic matrix $P$ can be
6 KB (982 words) - 09:11, 1 October 2023
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...athbf{C}$. If $F \in \operatorname { Hol } ( \Delta )$ is not the identity and is not an automorphism of $\Delta$ with exactly one fixed point in $\Delta$
20 KB (3,130 words) - 07:34, 8 February 2024
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...y $\partial \Omega$ is sufficiently regular, the Dirichlet Laplacian has a discrete spectrum of infinitely many positive eigenvalues with no finite accumulatio
12 KB (1,753 words) - 10:12, 16 March 2023
...uthor(s), the article has been donated to ''Encyclopedia of Mathematics'', and its further issues are under ''Creative Commons Attribution Share-Alike Lic
Mixture distributions are convex combinations of ''component''
17 KB (2,589 words) - 12:44, 28 October 2023
====Duality in algebraic geometry====
...hat the finite-dimensional cohomology (vector) spaces $H^i(X,\mathcal{L})$ and $H^{n-i}(X,\check{\mathcal{L}}\otimes\omega_X)$ are mutually dual. Here $\o
64 KB (9,418 words) - 12:44, 8 February 2020
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...es in an element of the phase space in terms of the particle's coordinates and velocities:
8 KB (1,248 words) - 18:31, 13 January 2024
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and $ d ( q) \in F $.
32 KB (4,863 words) - 08:08, 12 August 2022
.... Metrics are important in the study of convergence (of series, functions) and for the solution of questions concerning approximation.
...]]). Such properties include completeness, boundedness, total boundedness, and widths. Properties of this type are called metric.
33 KB (5,289 words) - 19:37, 25 March 2023
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...ents many problems and points of interest intimately connected to geometry and number theory.
17 KB (2,613 words) - 19:24, 12 February 2024
...n as the [[Continuum hypothesis|Continuum Hypothesis]]. Solved by K. Gödel and P.J. Cohen in the (unexpected) sense that the continuum hypothesis is indep
...y of mathematics associated with this problem, see [[Hilbert 2nd problem]] and [[Hilbert program]].
29 KB (4,109 words) - 19:54, 18 March 2018
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...al triangle circumscribed to the triangle $p _ { 1 } p _ { 2 } p _ { 3 }$, and H.W. Kuhn [[#References|[a19]]] pointed out that this Vecten–Fasbender du
15 KB (2,228 words) - 16:45, 1 July 2020
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...w, what the outcomes of it are, and also who is interested in the outcomes and in what way. Thus, for a formal description of a conflict it is necessary t
25 KB (4,000 words) - 19:41, 5 June 2020
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\usepackage{natbib,graphics,geometry,epsfig,rotate,lscape,
29 KB (4,005 words) - 20:28, 13 March 2024
...degrees of freedom. Quantum field theory unifies the description of fields and particles, which, in classical physics, appear as two distinct entities.
...d, as this is the only field having a clear content, both in the classical and the quantum case.
35 KB (5,270 words) - 23:26, 6 December 2016