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The Baltic International Yearbook of Cognition, Logic and Communication, 2013 The present article introduces ptarithmetic (short for “polynomial time arithmetic”) — a formal number theory similar to the well known Peano arithmetic, but based on the recently born computability logic instead of classical logic.
Giorgi Japaridze
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A Universal Ordinary Differential Equation [PDF]
Logical Methods in Computer Science, 2020 An astonishing fact was established by Lee A. Rubel (1981): there exists a fixed non-trivial fourth-order polynomial differential algebraic equation (DAE) such that for any positive continuous function $\varphi$ on the reals, and for any positive ...
Olivier Bournez, Amaury Pouly
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Polynomial Solution of Non-Central Potentials [PDF]
International Journal of Theoretical Physics, 2007 We show that the exact energy eigenvalues and eigenfunctions of the Schrodinger equation for charged particles moving in certain class of non-central potentials can be easily calculated analytically in a simple and elegant manner by using Nikiforov and ...
A. Guha +41 more
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On polynomial solutions of Heun equation [PDF]
Journal of Physics A: Mathematical and General, 2004 By making use of a recently developed method to solve linear differential equations of arbitrary order, we find a wide class of polynomial solutions to the Heun equation.
Bhaduri R K +10 more
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Polynomial Solutions of Equivariant Polynomial Abel Differential Equations [PDF]
Advanced Nonlinear Studies, 2017 Abstract Let a ( x )
Llibre, Jaume, Valls, Clàudia
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Insight Into the Dynamics of the Rabinowitsch Fluid Through an Elliptic Duct: Peristalsis Analysis
Frontiers in Physics, 2022 The current research is concerned with the mechanical characteristics of a Rabinowitsch fluid model that has been developed via an elliptic duct. If we study physiology or biomedicine, we will find that the Rabinowitsch fluid model in peristalsis is very
Sohail Nadeem +3 more
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Algebraic Solution of Tropical Polynomial Optimization Problems
Mathematics, 2021 We consider constrained optimization problems defined in the tropical algebra setting on a linearly ordered, algebraically complete (radicable) idempotent semifield (a semiring with idempotent addition and invertible multiplication).
Nikolai Krivulin
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Вісник Національного технічного університету "ХПÌ": Системний аналіз, управління та інформаційні технології, 2022 We present the methods for constructing a multivariate polynomial given by a redundant representation based on the results of a limited active experiment. We solve the problem in two formulations.
Alexander Pavlov +2 more
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NORMAL BGG SOLUTIONS AND POLYNOMIALS [PDF]
International Journal of Mathematics, 2012 First BGG operators are a large class of overdetermined linear differential operators intrinsically associated to a parabolic geometry on a manifold. The corresponding equations include those controlling infinitesimal automorphisms, higher symmetries and many other widely studied PDE of geometric origin.
Cap, Andreas +2 more
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Computing a Solution of Feigenbaum's Functional Equation in Polynomial Time [PDF]
Logical Methods in Computer Science, 2014 Lanford has shown that Feigenbaum's functional equation has an analytic solution. We show that this solution is a polynomial time computable function. This implies in particular that the so-called first Feigenbaum constant is a polynomial time computable
Peter Hertling, Christoph Spandl
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