Results 41 to 50 of about 177,347 (279)
Geometric approaches to establish the fundamentals of Lorentz spaces $\mathbb{R}_2^3$ and $\mathbb{R}_1^2$ [PDF]
Mathematica BohemicaThe aim of this paper is to investigate the orthogonality of vectors to each other and the Gram-Schmidt method in the Minkowski space $\mathbb{R}_2^3$.
Sevilay Çoruh Şenocak, Salim Yüce
doaj +1 more source
Reverse triangle inequalities for potentials
Journal of Approximation Theory, 2009 We study the reverse triangle inequalities for suprema of logarithmic potentials on compact sets of the plane. This research is motivated by the inequalities for products of supremum norms of polynomials. We find sharp additive constants in the inequalities for potentials, and give applications of our results to the generalized polynomials.
Pritsker, I.E., Saff, E.B.
openaire +2 more sources
Stable Diffusion Models Reveal a Persisting Human–AI Gap in Visual Creativity
Advanced Science, EarlyView.This study examines visual creativity in humans and generative AI using the TCIA framework. Human artists outperform AI overall, yet structured human guidance substantially improves AI outputs and evaluations. Findings reveal that alignment with human creativity depends critically on contextual framing, highlighting both the promise and current ...
Silvia Rondini +8 more
wiley +1 more source
ECONOMIC GROWTH, INEQUALITY AND POVERTY: POLICY ISSUES AND CHALLENGES [PDF]
ეკონომიკური პროფილიEconomic growth, inequality and poverty are closely linked. Although economic growth can contribute to the increase in general well-being, increasing inequality often reduces the effectiveness of economic progress and increases the level of poverty ...
Tengiz Verulava
doaj +1 more source
Advanced Science, EarlyView.TarPass provides a rigorous benchmark for target‐aware de novo molecular generation by jointly evaluating protein‐ligand interactions, molecular plausibility, and drug‐likeness on 18 well‐studied targets. Results show that current models often fail to consistently surpass random baseline in target‐specific enrichment, while post hoc multi‐tier virtual ...
Rui Qin +11 more
wiley +1 more source
Reverse of the Triangle Inequality in Hilbert C*-Modules
International Journal of Analysis and Applications, 2015 In this paper we prove the reverse of triangle inequality via Selberg's inequalities in the framework of Hilbert C*-modules.
Nordine Bounader +2 more
doaj +2 more sources
Inequalities that sharpen the triangle inequality for sums of $N$ functions in $L^p$ [PDF]
, 2019 We study $L^p$ inequalities that sharpen the triangle inequality for sums of $N$ functions in $L^p$
Carlen, Eric A. +2 more
core +1 more source
A reverse Sidorenko inequality
, 2020 Let $H$ be a graph allowing loops as well as vertex and edge weights. We prove that, for every triangle-free graph $G$ without isolated vertices, the weighted number of graph homomorphisms $\hom(G, H)$ satisfies the inequality \[ \hom(G, H ) \le \prod_ ...
Sah, Ashwin +3 more
core +1 more source
Advanced Intelligent Discovery, EarlyView.A physics‐guided machine learning framework estimates Young's modulus in multilayered multimaterial hyperelastic cylinders using contact mechanics. A semiempirical stiffness law is embedded into a custom neural network, ensuring physically consistent predictions. Validation against experimental and numerical data on C.
Christoforos Rekatsinas +4 more
wiley +1 more source
A Potpourri of Schwarz Related Inequalities in Inner Product Spaces [PDF]
, 2004 In this paper we obtain some new Schwarz related inequalities in inner product spaces over the real or complex number field.
Dragomir, Sever Silvestru
core +5 more sources