Results 71 to 80 of about 157,207 (257)
Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar +3 more
wiley +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Liénard equations are analyzed using the recent theory of 𝒞∞‐structures. For each Liénard equation, a 𝒞∞‐structure is determined by using a Lie point symmetry and a 𝒞∞‐symmetry. Based on this approach, a novel method for integrating these equations is proposed, which consists in solving sequentially two completely integrable Pfaffian equations.
Beltrán de la Flor +2 more
wiley +1 more source
L-functions with large analytic rank and abelian varieties with large algebraic rank over function fields [PDF]
, 2006 Douglas Ulmer
openalex +1 more source
A Biophysical Approach to the Design of Networks of Communication Systems
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Inspired by the growth dynamics of the protist Physarum polycephalum, we employ a formalism that describes adaptive, incompressible Hagen‐Poiseuille flows on channel networks to identify graphs connecting different nodes within Euclidean space. These graphs are either suboptimal or optimal relative to their length.
Rodrigo Almeida +2 more
wiley +1 more source
, 2016 We describe a number of geometric contexts where categorification appears naturally: coherent sheaves, constructible sheaves and sheaves of modules over quantizations.
Webster, Ben
core
Partial zeta functions of algebraic varieties over finite fields [PDF]
, 2000 Daqing Wan
openalex +1 more source
Neural Controlled Differential Equation and Its Application in Pharmacokinetics and Pharmacodynamics
CPT: Pharmacometrics &Systems Pharmacology, EarlyView.Neural controlled differential equations (NCDE), driven by control variables, are capable to learn the discontinuous dynamics in the PK and PD datasets. ABSTRACT With the recent advances in machine learning (ML) and artificial intelligence (AI), data‐driven modeling approaches for pharmacokinetics (PK) and pharmacodynamics (PD) have gained popularity ...
Zhisong Wu +5 more
wiley +1 more source
On some differences between number fields and function fields
, 2016 The analogy between the arithmetic of varieties over number fields and the arithmetic of varieties over function fields is a leading theme in arithmetic geometry. This analogy is very powerful but there are some gaps.
Gasbarri, Carlo
core
Quarterly Journal of the Royal Meteorological Society, EarlyView.Ensemble Kalman filters (EnKFs) with quality control (QC) are commonly used in the data assimilation (DA) of all‐sky satellite‐sensed infrared radiance (IR) observations. However, the statistical assumptions underlying EnKFs and QC are violated in such DA.
Man‐Yau Chan
wiley +1 more source
Motivic integration and the Grothendieck group of pseudo-finite fields
, 2002 We survey our recent work on an extension of the theory of motivic integration, called arithmetic motivic integration. We developed this theory to understand how p-adic integrals of a very general type depend on p.Comment: 11 ...
Denef, J., Loeser, F.
core +1 more source