Results 101 to 110 of about 74,153 (309)
Advanced Intelligent Discovery, EarlyView.This study reveals that sampling strategy (i.e., sampling size and approach) is a foundational prerequisite for building accurate and generalizable AI models in peptide discovery. Reaching a threshold of 7.5% of the total tetrapeptide sequence space was essential to ensure reliable predictions.
Meiru Yan +3 more
wiley +1 more source
, 1974 Pick 's theorem states that , if f is a univalent analytic function on the open unit disk with f (0)=0 and f'(0)=1, and [equation].
Minsker, Steven
core +1 more source
Comparison theorem for Brownian multidimensional BSDEs via jump processes [PDF]
, 2011 5International audienceIn this Note, we provide an original proof of the comparison theorem for multidimensional Brownian BSDEs in the case where at each line k the generator depends on the matrix variable Z only through its row ...
Idris Kharroubi, Kharroubi, Idris
core +1 more source
A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws
Advanced Intelligent Discovery, EarlyView.The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows +7 more
wiley +1 more source
An extended Halanay inequality of integral type on time scales
Electronic Journal of Qualitative Theory of Differential Equations, 2015 In this paper, we obtain a Halanay-type inequality of integral type on time scales which improves and extends some earlier results for both the continuous and discrete cases. Several illustrative examples are also given.
Boqun Ou, Baoguo Jia, Lynn Erbe
doaj +1 more source
, 2007 A local strict comparison theorem and some converse comparison theorems are proved for reflected backward stochastic differential equations under suitable ...
Shanjian Tang +3 more
core +1 more source
Holographic Mapping of Orbital Angular Momentum using a Terahertz Diffractive Optical Neural Network
Advanced Intelligent Discovery, EarlyView.A compact six‐layer diffractive optical neural network enables direct recognition and spatial mapping of terahertz (THz) orbital angular momentum (OAM) beams. Fabricated by 3D printing, the system distinguishes nine OAM modes and their superpositions with high fidelity, good efficiency, and low crosstalk, offering a scalable solution for THz ...
Wei Jia +3 more
wiley +1 more source
Generalized nonlinear Picone's identity for the p-Laplacian and its applications
Electronic Journal of Differential Equations, 2016 In this article we derive a generalized version of nonlinear Picone's identity for the p-Laplacian. We use this identity to obtain a Hardy-type inequality and a Sturm comparison result.
Aydin Tiryaki
doaj
Permanence for a Discrete Model with Feedback Control and Delay
Discrete Dynamics in Nature and Society, 2008 The permanence of a single-species population discrete model with feedback control is considered. We found that if we use the method of comparison theorem, then the additional condition, to some extent, is necessary.
Yong-Hong Fan, Lin-Lin Wang
doaj +1 more source
Toponogov comparison theorem for open triangles
, 2011 The aim of our article is to generalize the Toponogov comparison theorem to a complete Riemannian manifold with smooth convex boundary. A geodesic triangle will be replaced by an open (geodesic) triangle standing on the boundary of the manifold, and a ...
Kondo, Kei +3 more
core +1 more source