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Mapping-Based Accounts of Applicability and Converse Applications
While the problem of the applicability of mathematics in science has been the object of much philosophical discussion, the converse issue of...
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Observation of converse flexoelectric effect in topological semimetals
A strong coupling between electric polarization and elastic deformation in solids is an important factor in creating useful electromechanical...
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Counterexamples to Bicomplex Analogue of Bloch’s Principle and its Converse
In this paper, counterexamples to the bicomplex analogue of Bloch’s principle and its converse are given.
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Stabilization of nonlinear safety-critical systems by relaxed converse Lyapunov-barrier approach and its applications in robotic systems
Combining safety objectives with stability objectives is crucial for safety-critical systems. Existing studies generally unified these two objectives...
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Static and dynamic magnetization control of extrinsic multiferroics by the converse magneto-photostrictive effect
Using strain to control magnetic properties through anisotropy changes is a method to create functional materials with energy efficient applications....
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Monotone \(\varOmega \) -Sup-Fuzzy Relations: Converse and Complementation
L-fuzzy relations on a set X are functions from \(X \times X\)...
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A Converse Theorem for Split SO2l over Finite Fields
We prove a converse theorem for split even special orthogonal groups over finite fields. This is the only case left on converse theorems of classical...
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Security Monitoring Using Converse Lyapunov Function
This chapter introduces a novel framework to construct the region of attraction (ROA) of a power system centered around a stable equilibrium by using...
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A strong converse estimate of the rate of approximation by the Kantorovich operator in variable exponent Lebesgue spaces
We establish a strong converse inequality by a K -functional of the rate of approximation by the Kantorovich operators in variable exponent Lebesgue...
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Converse of \(L^2\) Existence and Extension of Cohomology Classes
The present paper grew out of my talk at Hayama conference in 2022. We give a survey of recent progress on a converse of...
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Convergence of Stochastic Approximation via Martingale and Converse Lyapunov Methods
In this paper, we study the global convergence properties of the stochastic approximation (SA) algorithm, first proposed by Robbins and Monro (1951)....
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The Strong Converse Exponent of Discriminating Infinite-Dimensional Quantum States
The sandwiched Rényi divergences of two finite-dimensional density operators quantify their asymptotic distinguishability in the strong converse...
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A strong converse inequality for generalized sampling operators
We establish a two-term strong converse inequality for the rate of approximation of generalized sampling operators by means of the classical moduli...
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Convergence of stochastic approximation via martingale and converse Lyapunov methods
In this paper, we study the almost sure boundedness and the convergence of the stochastic approximation (SA) algorithm. At present, most available...
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Some converse problems on the g-Drazin invertibility in Banach algebras
The main purpose of this paper is to investigate the converse problems of some well-known results related to the generalized Drazin (g-Drazin for...
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A gradient electromechanical theory for thin dielectric curved beams considering direct and converse flexoelectric effects
This work presents the development of a unified gradient electromechanical theory for thin flexoelectric beams considering both direct and converse...
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On the soft p-converse to a theorem of Gross–Zagier and Kolyvagin
We give a proof of a soft version of the p -converse to a theorem of Gross–Zagier and Kolyvagin for non-CM elliptic curves with good ordinary...
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An analogue of Weil’s converse theorem for harmonic Maass forms of polynomial growth
We construct a family of harmonic Maass forms of polynomial growth of any level corresponding to any cusp whose shadows are Eisenstein series of...