Results 61 to 70 of about 59,541 (246)
A Degree-Decreasing Lemma for (M O D q- M O D p) Circuits
Discrete Mathematics & Theoretical Computer Science, 2001 Consider a (MOD q, MOD p) circuit, where the inputs of the bottom MOD p gates are degree- d polynomials with integer coefficients of the input variables (p, q are different primes).
Vince Grolmusz
doaj
Simultaneous $p$-orderings and minimising volumes in number fields
, 2016 In the paper "On the interpolation of integer-valued polynomials" (Journal of Number Theory 133 (2013), pp. 4224--4232.) V. Volkov and F. Petrov consider the problem of existence of the so-called $n$-universal sets (related to simultaneous $p$-orderings ...
Byszewski, Jakub +2 more
core +1 more source
Self‐Similar Blowup for the Cubic Schrödinger Equation
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley +1 more source
On generalized Melvin solutions for Lie algebras of rank 3
, 2018 Generalized Melvin solutions for rank-$3$ Lie algebras $A_3$, $B_3$ and $C_3$ are considered. Any solution contains metric, three Abelian 2-forms and three scalar fields. It is governed by three moduli functions $H_1(z),H_2(z),H_3(z)$ ($z = \rho^2$ and $\
Bolokhov, S. V., Ivashchuk, V. D.
core +1 more source
Integer-valued polynomials on Krull rings [PDF]
Proceedings of the American Mathematical Society, 1996 If R R is a subring of a Krull ring S S such that R Q R_{Q} is a valuation ring for every finite index Q = P ∩ R Q=P\cap R , P P in Spec 1
openaire +3 more sources
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
Determining Integer-Valued Polynomials From Their Image
Actes des rencontres du CIRM, 2011 Summary: This note summarizes a presentation made at the Third International Meeting on Integer Valued Polynomials and Problems in Commutative Algebra. All the work behind it is joint with \textit{S. T. Chapman}, and appeared in [J. Algebra 348, No. 1, 350--353 (2011; Zbl 1239.11029)].
openaire +2 more sources
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
wiley +1 more source
Energy Science &Engineering, EarlyView.This study explores thermal runaway in lithium‐iron‐phosphate energy storage battery packs through multi‐physics coupling simulation. Thermal runaway evolves from battery cells (experiencing overcharge, bulging, safety valve opening, and gas venting) to battery clusters (a) and propagates within the battery pack (b). Simulation results indicate: stress
Dongliang Guo +6 more
wiley +1 more source
Energy Science &Engineering, EarlyView.A new energy paradigm assisted by AI. ABSTRACT The tremendous penetration of renewable energy sources and the integration of power electronics components increase the complexity of the operation and power system control. The advancements in Artificial Intelligence and machine learning have demonstrated proficiency in processing tasks requiring ...
Balasundaram Bharaneedharan +4 more
wiley +1 more source