Results 21 to 30 of about 6,609,770 (304)
Introduction: the analysis of the known literature shows that the use of various types of matching quadripoles (reactive, resistive, complex, mixed) and the feedback circuit covering the non-linear element makes it possible to increase the area of ...
Alexander A. Golovkov +1 more
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A generalized isospectral–nonisospectral heat equation hierarchy and its expanding integrable model
A generalized nonisospectral heat integrable hierarchy with three dependent variables is singled out. A Bäcklund transformation of a resulting isospectral integrable hierarchy is produced by converting the usual Lax pair into the Lax pairs in Riccati ...
Huanhuan Lu, Yufeng Zhang, Jianqin Mei
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Introduction: the analysis of known literature shows that the use of various types of matching quadripoles (reactive, resistive, complex, mixed) and a feedback circuit covering a non-linear element makes it possible to increase the area of physical ...
Alexander A. Golovkov +1 more
doaj +1 more source
Hamiltonian and Variational Linear Distributed Systems [PDF]
We use the formalism of bilinear- and quadratic differential forms in order to study Hamiltonian and variational linear distributed systems. It was shown in [1] that a system described by ordinary linear constant-coefficient differential equations is ...
Rapisarda, P. +5 more
core +2 more sources
Orthogonal and symplectic Yangians and Yang–Baxter R-operators
Yang–Baxter R operators symmetric with respect to the orthogonal and symplectic algebras are considered in an uniform way. Explicit forms for the spinorial and metaplectic R operators are obtained.
A.P. Isaev, D. Karakhanyan, R. Kirschner
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Linear Induction Algebra and a Normal Form for Linear Operators [PDF]
The set of natural integers is fundamental for at least two reasons: it is the free induction algebra over the empty set (and at such allows definitions of maps by primitive recursion) and it is the free monoid over a one-element set, the latter structure being a consequence of the former.
openaire +4 more sources
Algebra of Complex Vectors and Applications in Electromagnetic Theory and Quantum Mechanics
A complex vector is a sum of a vector and a bivector and forms a natural extension of a vector. The complex vectors have certain special geometric properties and considered as algebraic entities. These represent rotations along with specified orientation
Kundeti Muralidhar
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Integral Cryptanalysis Using Algebraic Transition Matrices
In this work we introduce algebraic transition matrices as the basis for a new approach to integral cryptanalysis that unifies monomial trails (Hu et al., Asiacrypt 2020) and parity sets (Boura and Canteaut, Crypto 2016).
Tim Beyne, Michiel Verbauwhede
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Lyapunov stability analysis of higher-order 2D systems
We prove a necessary and sufficient condition for the asymptotic stability of a 2D system described by a system of higher-order linear partial difference equations.
Paolo Rapisarda +8 more
core +2 more sources
Inertial law of quadratic forms on modules over plural algebra [PDF]
summary:Quadratic forms on a free finite-dimensional module are investigated. It is shown that the inertial law can be suitably generalized provided the vector space is replaced by a free finite-dimensional module over a certain linear algebra over $\R$ (
Jukl, Marek
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