Results 141 to 150 of about 105,780 (179)
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2014
This is the smallest chapter of this book, because it contains only two theorems which are due to Whitney. These theorems have three serious reasons to study. Firstly, in its proof, the celebrated Sard’s theorem got an application. Secondly, the statement of Whitney embedding theorem was contrary to the common belief that a smooth manifold may not have
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This is the smallest chapter of this book, because it contains only two theorems which are due to Whitney. These theorems have three serious reasons to study. Firstly, in its proof, the celebrated Sard’s theorem got an application. Secondly, the statement of Whitney embedding theorem was contrary to the common belief that a smooth manifold may not have
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1989
Suppose A is a Young function; i.e. A maps [0,∞[ into [0,∞[, is convex and vanishes at 0. Let u be real-valued, locally integrable in euclidean n-dimensional space R n ; assume the (distributional) derivatives of u satisfy $$\int_{{{\bf{R}}^n}} {A(|{\rm{grad}}\;u(x)|)dx < \infty }$$ (1) and the support of u is bounded.
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Suppose A is a Young function; i.e. A maps [0,∞[ into [0,∞[, is convex and vanishes at 0. Let u be real-valued, locally integrable in euclidean n-dimensional space R n ; assume the (distributional) derivatives of u satisfy $$\int_{{{\bf{R}}^n}} {A(|{\rm{grad}}\;u(x)|)dx < \infty }$$ (1) and the support of u is bounded.
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EMBEDDING THEOREMS FOR PROFINITE GROUPS
Mathematics of the USSR-Izvestiya, 1980Suppose that the profinite group G is an extension of A by H. In this paper the profinite subgroups of the topological group of continuous maps from H to A are investigated. The results obtained are used to prove topological analogues for profinite groups of the Frobenius and Magnus embedding theorems. Moreover, a sufficient condition is formulated for
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Embedding Theorems for Countable Groups
Canadian Journal of Mathematics, 1970A group P is said to be a CEF-group if, for every countable group G, there is a factor group of P which contains a subgroup isomorphic to G. It was shown by Higman, Neumann, and Neumann [5] that the free group of rank two is a CEF-group. More recently, Levin [6] proved that if P is the free product of two cyclic groups, not both of order two, then P is
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Journal of the London Mathematical Society, 1959
Neumann, B. H., Neumann, Hanna
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Neumann, B. H., Neumann, Hanna
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Embedding Theorems for Abelian Groups
Canadian Journal of Mathematics, 1963Given an abelian group G and a mapping θ that maps a subgroup A of G homomorphically onto another subgroup B of G, then it is known (3) that there always exists an embedding group G* ⊇ G which is abelian and possesses an endomorphism θ* which coincides with θ on A, i.e. aθ = aθ* whenever aθ is defined.
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment
Ca-A Cancer Journal for Clinicians, 2022Jun J Mao,, Msce +2 more
exaly
EMBEDDING THEOREMS FOR SEMIGROUPS
The Quarterly Journal of Mathematics, 1963openaire +1 more source
Multidisciplinary standards of care and recent progress in pancreatic ductal adenocarcinoma
Ca-A Cancer Journal for Clinicians, 2020Aaron J Grossberg +2 more
exaly