denotes the [[small image]] of the set $ O _ {i} $
For this reason, fully-closed mappings can be employed to isolate fairly wide classes of compacta with non-coinciding dimensions dim and ind. Moreover,
2 KB (274 words) - 11:41, 18 February 2022
the image of $ \sigma ^ {n} $
...ual, cycles and boundaries are those chains which belong to the kernel and image of $ \partial ^ {n} $,
8 KB (1,130 words) - 08:14, 6 June 2020
...g in numerical analysis, multi-resolution analysis and pyramidal coding in image processing.
...align="top"> M. Antonini, M. Barlaud, I. Daubechies, P. Mathieu, "Image coding using vector quantization in the wavelet transform domain" , ''IEEE
6 KB (909 words) - 08:28, 6 June 2020
...ntinuities at boundary points of its spectrum, the combined spectra of the image of many-valued mappings, images of approximate, point or deficiency spectra
...ich implies that the essential spectra of the self-adjoint extensions of a wide class of symmetric multi-dimensional differential operators coincide. Weyl'
16 KB (2,424 words) - 08:22, 6 June 2020
...essed explicitly and was not an independent object of research, although a wide range of specific functional relations were known and were studied systemat
is the image of the element $ x $
34 KB (5,509 words) - 22:06, 28 January 2020
...lue of this concept. On the one hand the class of perfect measures is very wide, and on the other, a number of unpleasant technical complications that occu
is perfect. The image of a perfect measure $ \mu $
8 KB (1,244 words) - 08:05, 6 June 2020
is the image of $ U $
...t theorem and is a concrete realization of the Teichmüller principle for a wide class of problems (see [[#References|[1]]], [[#References|[4]]]). The Teich
7 KB (1,091 words) - 19:19, 20 January 2022
...have infinite interior (for short, a Parovichenko space). This theorem had wide applications both in topology as well as in the theory of Boolean algebras.
...his implies that the ordinal space $W(\mathfrak{c}+1)$ is not a continuous image of $\omega^*$. In 1978, E.K. van Douwen and T.C. Przymusiński [[#Reference
11 KB (1,671 words) - 21:29, 19 November 2017
on the terrestrial ellipsoid by its image $ d \sigma $
...line, and the remaining meridians by curves symmetric with respect to the image of the central meridian (see, for example, Fig. f).
12 KB (1,890 words) - 09:14, 26 March 2023
...ators $L$ and in [[#References|[a5]]] a characterization of the range of a wide class of multi-dimensional linear transforms, whose kernels are kernels of
...f linear transforms" A.G. Ramm (ed.) , ''Inverse Problems, Tomography and Image Processing'' , Plenum (1998) pp. 125–128</td></tr>
11 KB (1,680 words) - 17:31, 4 February 2024
and the volumes of the lattices generated by the image of the $ K $-
functor for a wide class of schemes. In particular, the $ K $-
8 KB (1,120 words) - 20:06, 31 October 2023
...ransformation|measure preserving]]'' if for every $A_2\in\A_2$ the inverse image $A_1=f^{-1}(A_2)$ satisfies $A_1\in\A_1$, $\mu_1(A_1)=\mu_2(A_2)$. Such $f$
...able (or equivalently, for every $\A$-measurable) function $f:X\to\R$ the image $f(X)$ contains a Borel (or equivalently, σ-compact) subset $B$ whose pre
15 KB (2,431 words) - 07:07, 23 September 2012
...[[#References|[a7]]], quadratic assignment problems [[#References|[a2]]], image processing [[#References|[a5]]] and many others. In addition, implementatio
10 KB (1,422 words) - 08:14, 6 June 2020
...gebraic group $G$ with respect to $S$, which consists of the fact that the image of $G_k$ under the canonical projection $G_k \to G_S$ is dense in $G_S$. Al
[[#References|[2]]]). Nevertheless, for a wide class of non-simply-connected semi-simple groups, in particular, for adjoin
11 KB (1,671 words) - 18:19, 24 May 2019
...rem to the case of proper morphisms of schemes and asserts that the direct image of a [[Coherent sheaf|coherent sheaf]] under such a mapping is coherent (se
These theorems find application in a wide range of finiteness problems that arise in Diophantine geometry. Among them
11 KB (1,549 words) - 20:08, 17 December 2019
...anifolds|topology of manifolds]], because the class of polyhedra is fairly wide.
...called a regular neighbourhood of $P$ in $Q$, and the same applies to its image under any pl-homeomorphism of $Q$ into itself that leaves $P$ invariant. Fo
12 KB (1,899 words) - 20:28, 25 April 2012
...the corresponding smoothness class. A linear differential operator in the wide sense $ A: E\rightarrow F $
is equal to the image of the section $ u $
25 KB (3,768 words) - 09:07, 14 June 2022
A wide class of non-strategic games can be obtained as follows. Let $ I $
image of a situation is called a play (the set of all plays is denoted by $ \ma
25 KB (4,000 words) - 19:41, 5 June 2020
...$ K $-theory]], it is sometimes called topological $ K $-theory. In a wide sense, the term "K-theory" is used to denote the branch of mathematics that
...ndles (direct sums, tensor products, exterior degrees), and of the inverse image of a bundle. A second source of $ K $-theory is the connection with algeb
17 KB (2,459 words) - 07:32, 26 February 2022
...s concerned only with elliptic equations. The extension of the theory to a wide class of parabolic equations was obtained by H. Bauer (1960–1963, see [[#
...is Hunt's theorem, which in its simplest version is the following: If the image of $ C _ {c} $
23 KB (3,517 words) - 08:07, 6 June 2020