Results 71 to 80 of about 4,215,458 (307)
On the Curvature and Heat Flow on Hamiltonian Systems
Analysis and Geometry in Metric Spaces, 2014 We develop the differential geometric and geometric analytic studies of Hamiltonian systems. Key ingredients are the curvature operator, the weighted Laplacian, and the associated Riccati equation.We prove appropriate generalizations of the Bochner ...
Ohta Shin-ichi
doaj +1 more source
Disproof of Bell's Theorem [PDF]
, 2011 We illustrate an explicit counterexample to Bell's theorem by constructing a pair of dichotomic variables that exactly reproduce the EPR-Bohm correlations in a manifestly local-realistic ...
Christian, Joy
core
Two loop detection mechanisms: a comparison [PDF]
, 1997 In order to compare two loop detection mechanisms we describe two calculi for theorem proving in intuitionistic propositional logic. We call them both MJ Hist, and distinguish between them by description as `Swiss' or `Scottish'. These calculi combine in
Howe, J. M. +3 more
core +1 more source
Causal‐Guided Ultra‐Long‐Term Time Series Forecasting Via Anticipated Covariates
Advanced Science, EarlyView.Often treated as unknown, information from the future remains underutilized.We demonstrate that in a coupled dynamical system, providing the future state of the effect enables accurate forecasting of the cause for a long timesteps. A time series forecasting paradigm that introduces anticipated covariates to represent such known future states is ...
Jintong Zhao +4 more
wiley +1 more source
Journal of Mathematical Analysis and Applications, 1985 The principal result in this note is the following: If \[ \int^{(b/2)+h}_{(b/2)-h}[p(x)-(\pi^ 2/b^ 2)]dx\geq 0 \] for each h ...
openaire +2 more sources
On Cheng's eigenvalue comparison theorem
Mathematical Proceedings of the Cambridge Philosophical Society, 2008 AbstractWe observe that Cheng's Eigenvalue Comparison Theorem for normal geodesic balls [4] is still valid if we impose bounds on the mean curvature of the distance spheres instead of bounds on the sectional and Ricci curvatures. In this version, there is a weak form of rigidity in case of equality of the eigenvalues.
Bessa, G. Pacelli, Montenegro, J. Fabio
openaire +2 more sources
Exact Discrete Stochastic Simulation With Deep‐Learning‐Scale Gradient Optimization
Advanced Science, EarlyView.A 203,796‐parameter gene regulatory network classifies handwritten digits with 98.4% accuracy using exact stochastic dynamics. The framework decouples forward simulation from backward differentiation, making continuous‐time Markov chain models compatible with deep‐learning optimization.
Jose M. G. Vilar, Leonor Saiz
wiley +1 more source
A GENERALIZATION OF STURM’S COMPARISON THEOREM
Rocky Mountain Journal of Mathematics, 2023 8 ...
openaire +2 more sources
On the local-indicability cohen–lyndon theorem
, 2011 For a group H and a subset X of H, we let HX denote the set {hxh?1 | h ? H, x ? X}, and when X is a free-generating set of H, we say that the set HX is a Whitehead subset of H. For a group F and an element r of F, we say that r is Cohen–Lyndon aspherical
Antolin, Yago +5 more
core +1 more source
Advanced Science, EarlyView.Autonomous laboratories can now synthesize materials faster than experts can interpret the resulting diffraction data. A probabilistic framework combines refinement‐fit metrics with large language model‐derived chemical reasoning to rank competing phase interpretations and flag those unsuitable for autonomous use.
Olympia Dartsi +7 more
wiley +1 more source