Addition theorems for Ck real functions and applications in ordinary differential equations
, 2020 20 pages, 7 ...
Crespo, Francisco +2 more
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SMT and Functional Equation Solving over the Reals: Challenges from the IMO
Abstract We use SMT technology to address a class of problems involving uninterpreted functions and nonlinear real arithmetic. In particular, we focus on problems commonly found in mathematical competitions, such as the International Mathematical Olympiad (IMO), where the task is to determine all solutions to constraints on an uninterpreted ...
Chad E. Brown +4 more
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The functional equation of zeta distributions associated with formally real Jordan algebras
Tohoku Mathematical Journal, 1984 Let V be a formally real simple Jordan algebra over \({\mathbb{R}}\) and let N be the reduced norm of V. G denotes the structure group of V, \(G^ 0\) is the connected component of the identity of G. The set of real invertible elements from V is decomposed into the union of \(G^ 0\)-orbits \(\prod_{i}\Omega_ i\). The zeta distribution on V is a map \[ f\
Satake, I., Faraut, J.
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AppliedMathThis paper presents research and theoretical development of a mathematical model that, first, allows us to understand how the positional exactitude of the output link of a four-bar mechanism depends on the manufacturing dimensional tolerances.
Javier Flores Méndez +9 more
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Functional Equations and Combinatorial Constructions of Pathological Functions in Real Analysis
This paper explores the construction of continuous nowhere differentiable functions, a cornerstone in real analysis since Weierstrass’ 1872 example. Two frameworks are developed and analyzed rigorously: (1) a functional-equation approach leading to generalized Weierstrass-type functions, and (2) a combinatorial construction based on binary digit ...
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On Certain Multiple Series with Functional Equation in a Totally Real Number Field I
Tokyo Journal of Mathematics, 1995 Let \(K\) be a totally real field of algebraic numbers of degree \(n\), let \(A,B\) be ideals of its ring of integers, choose a positive integer \(k\) and let \(\tau_1,\dots,\tau_n\) be non-zero complex numbers whose arguments lie in the interval \((-\pi/2k,\pi/2k)\). For \(l\) prime to \(k\) put \[ M(\tau;A,B;k,l)=\sum_\mu{1\over| N(\mu)| }\sum_{0\neq\
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On the functional equation of the ArtinL-function for characters of real representations
Inventiones Mathematicae, 1973 Fröhlich, A., Queyrut, J.
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The Dirac equation in a Yang-Mills field as an equation for just one real function
, 2018 8 pages, no figures.
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Dynamics, Noise, Delays and the Gibbs and Conditional Entropy. [PDF]
Entropy (Basel)Mackey MC, Tyran-Kamińska M.
europepmc +1 more source
Long-Time Dynamics for the Kelvin-Helmholtz Equations Close to Circular Vortex Sheets. [PDF]
Arch Ration Mech AnalMurgante F, Roulley E, Scrobogna S.
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