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How Regular are Regular Singularities?
2021An abstract look at the work of Fuchs and Frobenius on the solutions of ordinary differential equations at regular singularites.
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Regular Rings are Very Regular
Canadian Mathematical Bulletin, 1982The following problem arose in a conversation with Abraham Zaks: “Suppose R is an associative ring with identity such that every finitely generated left ideal is generated by idempotents. Is R von-Neumann regular?” In the literature the “s” in “idempotents” is missing, and is replaced by “an idempotent”. The answer is, “Yes!”
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Regular Categories and Regular Functors
Canadian Journal of Mathematics, 1974Let be a category with nice factorization-properties. If a functor G: —> which has a left-adjoint behaves nice with respect to factorizations then it can be shown quite easily that G behaves well in many other respects, especially that it lifts nice properties from into .
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Spectral regularization and minEnt regularization
IEEE International Conference on Acoustics Speech and Signal Processing, 2002In this paper, we propose the spectral regularization based on the conventional (spatial) regularization and the Fourier analysis. The entropy regularization is further developed and its connection to MinEnt principle is investigated. The underlying geometrical, physical and biological interpretation of spectral and entropic regularization are ...
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Acta Applicandae Mathematica, 2004
This is an informal survey on various results concerning zeta regularization. The authors put special emphasis on examples of which they give many. These examples are of interest to geometry or number theory.
Kurokawa Nobushige, Wakayama Masato
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This is an informal survey on various results concerning zeta regularization. The authors put special emphasis on examples of which they give many. These examples are of interest to geometry or number theory.
Kurokawa Nobushige, Wakayama Masato
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Hearing Research, 2000
The masses and the area sizes of the otoliths for the utriculus, sacculus and lagena of 15 species of the Black Sea fish are analyzed. Morphometrical otolith regularities are derived and their functional and ecomorphological explanations are suggested.
D V, Lychakov, Y T, Rebane
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The masses and the area sizes of the otoliths for the utriculus, sacculus and lagena of 15 species of the Black Sea fish are analyzed. Morphometrical otolith regularities are derived and their functional and ecomorphological explanations are suggested.
D V, Lychakov, Y T, Rebane
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Russian Academy of Sciences. Sbornik Mathematics, 1993
Let \(G\) be a locally compact Hausdorff space, \(\varepsilon_ x\) a probability measure concentrated in the point \(x\in G\), \({\mathfrak A}\) be the algebra of all finite measures on \(G\) with respect to the convolution \(*\). A semihypergroup \((G,*)\) is called a regular semihypergroup if a) There exists a two-sided neutral element \(\varepsilon_
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Let \(G\) be a locally compact Hausdorff space, \(\varepsilon_ x\) a probability measure concentrated in the point \(x\in G\), \({\mathfrak A}\) be the algebra of all finite measures on \(G\) with respect to the convolution \(*\). A semihypergroup \((G,*)\) is called a regular semihypergroup if a) There exists a two-sided neutral element \(\varepsilon_
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