Results 101 to 110 of about 416,861 (348)
The Existence of Cone Critical Point and Common Fixed Point with Applications
Journal of Applied Mathematics, 2011 We first establish some new critical point theorems for nonlinear dynamical systems in cone metric spaces or usual metric spaces, and then we present some applications to generalizations of Dancš-Hegedüs-Medvegyev's principle and the existence theorem ...
Wei-Shih Du
doaj +1 more source
Ultralow‐Dimensionality Reduction for Identifying Critical Transitions by Spatial‐Temporal PCA
Advanced Science, EarlyView.The proposed spatial‐temporal principal component analysis (stPCA) method analytically reduces high‐dimensional time‐series data to a single latent variable by transforming spatial information into temporal dynamics. By preserving the temporal properties of the original data, stPCA effectively identifies critical transitions and tipping points.
Pei Chen +6 more
wiley +1 more source
The closed graph theorem is the open mapping theorem [PDF]
arXiv, 2019 We extend the closed graph theorem and the open mapping theorem to a context in which a natural duality interchanges their extensions.
arxiv
Epileptiform Activity and Seizure Risk Follow Long‐Term Non‐Linear Attractor Dynamics
Advanced Science, EarlyView.This study leverages the HAVOK framework to model long‐term, nonlinear attractor dynamics underlying epileptiform activity and seizure risk in epilepsy patients. By identifying key forcing mechanisms driving chaotic transitions, the findings improve seizure risk forecasting over multi‐day cycles and provide a pathway for personalized, data‐driven ...
Richard E Rosch +4 more
wiley +1 more source
A fractional order Monkeypox model with protected travelers using the fixed point theorem and Newton polynomial interpolation. [PDF]
Healthc Anal (N Y), 2023 Adom-Konadu A +4 more
europepmc +1 more source
On Family Rigidity Theorems II [PDF]
arXiv, 1999 In LM, we proved a family version of the famous Witten rigidity theorems and several family vanishing theorems for elliptic genera. In this paper, we gerenalize our theorems LM in two directions. First we establish a family rigidity theorem for the Dirac operator on loop space twisted by general positive energy loop group representations.
arxiv
A Schauder fixed point theorem in semilinear spaces and applications
, 2013 In this paper we present existence and uniqueness results for a class of fuzzy fractional integral equations. To prove the existence result, we give a variant of the Schauder fixed point theorem in semilinear Banach spaces.MSC:34A07, 34A08.
R. Agarwal +3 more
semanticscholar +1 more source
A Fixed Point Theorem for Manifolds [PDF]
Proceedings of the American Mathematical Society, 1971 A Lefschetz type fixed point theorem is proved extending a recent theorem by Robert F. Brown. It deals with compact maps of the form f : ( M − U , X ) → ( M , M − U ) f:(M - U,X) \to (M,M - U) , where M M is an
openaire +2 more sources
CPL‐Diff: A Diffusion Model for De Novo Design of Functional Peptide Sequences with Fixed Length
Advanced Science, EarlyView.This study presents a diffusion model for generating functional peptide sequence lengths using mask control. The model can generate antimicrobial, antifungal, and antiviral peptides with specific lengths on demand. The model learns the structure of peptides better and generates peptides with better physicochemical properties, and the model has good ...
Zhenjie Luo +5 more
wiley +1 more source
A General Theorem for the Characterization of N Prime Numbers Simultaneously [PDF]
Published in Libertas Mathematica, University of Texas at
Arlington, Vol. XI, 151-155, 1991, 2004 This article presents a necessary and sufficient theorem for N numbers, coprime two by two, to be prime simultaneously. It generalizes V. Popa's theorem, as well as I. Cucurezeanu's theorem, Clement's theorem, S. Patrizio's theorems, etc. Particularly, this General Theorem offers many characterizations for twin primes, for quadruple primes, and so on.
arxiv