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Stability analysis and exploration of multiform soliton solutions for extended fractional NLS model using modified extended direct algebraic method. [PDF]
Sci RepSoliman M +3 more
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<i>Selaginella brachyclada</i> reinstated from synonymy under <i>S. rhodostachya</i> (Lycopodiopsida, Selaginellaceae), with updated descriptions of both taxa. [PDF]
PhytoKeysValdespino IA, López CA.
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Secure Elliptic Galois Cryptography Framework for robust real-time vehicle image classification using convolutional sparse autoencoder in intelligent transportation systems. [PDF]
Sci RepAljebreen M +7 more
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ELLIPTIC CURVES AND -ADIC ELLIPTIC TRANSCENDENCE
Bulletin of the Australian Mathematical Society, 2021AbstractWe prove a necessary and sufficient condition for isogenous elliptic curves based on the algebraic dependence ofp-adic elliptic functions. As a consequence, we give a short proof of thep-adic analogue of Schneider’s theorem on the linear independence ofp-adic elliptic logarithms of algebraic points on two nonisogenous elliptic curves defined ...
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Russian Mathematical Surveys, 1960
This paper, like the note on integral geometry in the last number of the "Uspekhi" , is an addendum to my paper [1]. The main idea of the paper is contained in § 2, where we pose the problem of describing linear elliptic equations and their boundary problems in topological terms.
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This paper, like the note on integral geometry in the last number of the "Uspekhi" , is an addendum to my paper [1]. The main idea of the paper is contained in § 2, where we pose the problem of describing linear elliptic equations and their boundary problems in topological terms.
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Elliptic and Elliptic-Parabolic Type
1964We consider the linear partial differential equation (II-1.1) $$ Du \equiv Au + au = f\,\,where\,Au \equiv \sum\limits_{i,k = 1}^n {{a_{ik}}{u_{{x_i}{x_k}}} + \sum\limits_{i = 1}^n {{a_i}{u_{{x_i}}}} } $$ (1.1) in the normal domain D of R n and x = (x 1, x 2,... , x n ). Let $$ {a_{ik}}(x),{a_i}(x),a(x),f(x)\,\varepsilon \,{C^0}\,\,in\,\,\
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Theory of Probability & Its Applications, 1986
Let \(E_ n=(\xi_{pl})^ n_{p,l=1}\) denote random complex (n\(\times n)\)-matrices. Random vectors \((\xi^ n_{pl},\xi^ n_{lp})\), \(p\geq l\), \(p,l=\overline{s,n}\) are independent, \(M\xi^ n_{pl}=0\), \(M| \xi^ n_{pl}|^ 2=n^{-1}\), \(M\xi^ n_{pl}\xi^ n_{lp}=n^{-1}\rho\), \(l\neq p\), random variables Re \(\xi\) \({}^ n_{pl}\), Im \(\xi\) \({}^ n_{pl}\)
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Let \(E_ n=(\xi_{pl})^ n_{p,l=1}\) denote random complex (n\(\times n)\)-matrices. Random vectors \((\xi^ n_{pl},\xi^ n_{lp})\), \(p\geq l\), \(p,l=\overline{s,n}\) are independent, \(M\xi^ n_{pl}=0\), \(M| \xi^ n_{pl}|^ 2=n^{-1}\), \(M\xi^ n_{pl}\xi^ n_{lp}=n^{-1}\rho\), \(l\neq p\), random variables Re \(\xi\) \({}^ n_{pl}\), Im \(\xi\) \({}^ n_{pl}\)
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2012
In this chapter we will construct examples of positive elliptic-elliptic RE, i.e. orbits with two elliptic rotations on the sphere \( {\text{S}}^{ 3} \). The first example is that of a 3-body problem in which 3 bodies of equal masses are at the vertices of an equilateral triangle, which has two rotations of the same frequency.
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In this chapter we will construct examples of positive elliptic-elliptic RE, i.e. orbits with two elliptic rotations on the sphere \( {\text{S}}^{ 3} \). The first example is that of a 3-body problem in which 3 bodies of equal masses are at the vertices of an equilateral triangle, which has two rotations of the same frequency.
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