Results 171 to 180 of about 28,484 (217)
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Approximately Axisymmetric Antidynamo Theorems
SIAM Journal on Applied Mathematics, 2018The validity of the well-known Cowling's theorem, that an axially symmetric MHD dynamo cannot exist in an electrically conducting fluid, is studied by the author for small scale deviations from strict axial symmetry. It is shown that the theorem can be extended as to include weakly non-axisymmetric configurations under the derived new symmetry ...
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Approximating classical theorems
Journal of Logic and Computation, 1998Approximation of classical theorems by constructive ones is considered. (By constructive proofs the authors understand those proofs that do not use the Excluded Middle principle.) The paper develops some ideas of G. Kreisel, P. S. Novikov and T. Coquand.
Baratella, Stefano, S. Berardi
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EMBEDDING THEOREMS AND BEST APPROXIMATIONS
Mathematics of the USSR-Sbornik, 1975We establish necessary and sufficient conditions, in terms of best approximations, for a function in () to belong to (p$ SRC=http://ej.iop.org/images/0025-5734/26/2/A04/tex_sm_2477_img4.gif/>). The proofs depend on the properties of equimeasurable functions, which were applied by Ul'janov in the theory of the embedding of certain classes for (MR 37
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Approximation Theorems of Analysis
1999This is an expository article about Dirac families. Applications include the theorem of Weierstrass on polynomial approximations of continuous functions, the result of Fejér-Cesàro on Fourier series, harmonic functions and Poisson families, and finally, solutions of the heat equation.
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P-Adic Numbers, Ultrametric Analysis, and Applications, 2009
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1996
This chapter, and part of the next, are devoted to a result which can be viewed either as an approximation theorem, or as a theorem characterizing the kernel of a trace operator for arbitrary sets. In the present chapter we treat the case of Sobolev spaces W m,p (R N ) for integer m and 1 < p < ∞.
David R. Adams, Lars Inge Hedberg
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This chapter, and part of the next, are devoted to a result which can be viewed either as an approximation theorem, or as a theorem characterizing the kernel of a trace operator for arbitrary sets. In the present chapter we treat the case of Sobolev spaces W m,p (R N ) for integer m and 1 < p < ∞.
David R. Adams, Lars Inge Hedberg
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2011
This chapter is devoted to an approximation theorem that allows certain adjustments of the bonding mappings in an inverse limit sequence without altering the topology of the inverse limit. We apply this fundamental result to show that if f is a mapping of an interval J onto itself that is the union of two monotone maps from nonoverlapping subintervals ...
W. T. Ingram, William S. Mahavier
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This chapter is devoted to an approximation theorem that allows certain adjustments of the bonding mappings in an inverse limit sequence without altering the topology of the inverse limit. We apply this fundamental result to show that if f is a mapping of an interval J onto itself that is the union of two monotone maps from nonoverlapping subintervals ...
W. T. Ingram, William S. Mahavier
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Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators
Nature Machine Intelligence, 2021Lu Lu, Pengzhan Jin, Guofei Pang
exaly
Experimental quantum key distribution certified by Bell's theorem
Nature, 2022David Nadlinger +2 more
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