Results 81 to 90 of about 390 (251)

Some new Simpson-type inequalities for generalized p-convex function on fractal sets with applications

open access: yesAdvances in Difference Equations, 2020
The present article addresses the concept of p-convex functions on fractal sets. We are able to prove a novel auxiliary result. In the application aspect, the fidelity of the local fractional is used to establish the generalization of Simpson-type ...
Thabet Abdeljawad   +4 more
doaj   +1 more source

Inclusions Involving Interval-Valued Harmonically Co-Ordinated Convex Functions and Raina’s Fractional Double Integrals

open access: yesJournal of Mathematics, 2022
The aim of this article is to obtain some new integral inclusions essentially using the interval-valued harmonically co-ordinated convex functions and κ-Raina’s fractional double integrals.
Bandar Bin Mohsin   +5 more
doaj   +1 more source

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

open access: yesAdvanced Intelligent Discovery, EarlyView.
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley   +1 more source

Explaining the Origin of Negative Poisson's Ratio in Amorphous Networks With Machine Learning

open access: yesAdvanced Intelligent Discovery, EarlyView.
This review summarizes how machine learning (ML) breaks the “vicious cycle” in designing auxetic amorphous networks. By transitioning from traditional “black‐box” optimization to an interpretable “AI‐Physics” closed‐loop paradigm, ML is shown to not only discover highly optimized structures—such as all‐convex polygon networks—but also unveil hidden ...
Shengyu Lu, Xiangying Shen
wiley   +1 more source

HERMITE-HADAMARD TYPE INEQUALITIES FOR HARMONICALLY CONVEX FUNCTIONS [PDF]

open access: yes, 2013
iscan, imdat/0000-0001-6749-0591WOS: 000348691000005The author introduces the concept of harmonically convex functions and establishes some Hermite-Hadamard type inequalities of these classes of ...
Imdat Iscan, Iscan, Iindat
core  

Harnessing Machine Learning to Understand and Design Disordered Solids

open access: yesAdvanced Intelligent Discovery, EarlyView.
This review maps the dynamic evolution of machine learning in disordered solids, from structural representations to generative modeling. It explores how deep learning and model explainability transform property prediction into profound physical insight.
Muchen Wang, Yue Fan
wiley   +1 more source

Janowski harmonic close-to-convex functions

open access: yesInternational Journal of Mathematical Analysis, 2014
A harmonic mapping in the open unit disc D{double-struck} = {z||z| < 1} onto domain Ω* ⊂ ℂ is a complex valued harmonic function w = f(z) which maps D{double-struck} univalently Ω*. Each such mapping has a canonical representation f(z) = h(z) + g(z), where h(z) and g(z) are analytic in D{double-struck} and h(0) = g(0) = 0, and are called analytic part ...
Turhan, N.   +2 more
openaire   +2 more sources

A Critical Assessment of Bonding Descriptors for Predicting Materials Properties

open access: yesAdvanced Intelligent Discovery, EarlyView.
The impact of new bonding descriptors in machine learning models for predicting material properties is assessed. Improvements are validated using significance tests, and new, intuitive descriptors for screening lattice thermal conductivity and projected force constants are introduced.
Aakash Ashok Naik   +6 more
wiley   +1 more source

Clinically Informed Intelligent Classification of Ovarian Cancer Cells by Label‐Free Holographic Imaging Flow Cytometry

open access: yesAdvanced Intelligent Systems, Volume 7, Issue 3, March 2025.
Quantitative phase maps of single cells recorded in flow cytometry modality feed a hierarchical architecture of machine learning models for the label‐free identification of subtypes of ovarian cancer. The employment of a priori clinical information improves the classification performance, thus emulating the clinical application of liquid biopsy during ...
Daniele Pirone   +11 more
wiley   +1 more source

Programmable Flocks: Hierarchical Swarm Control via Dynamic Parameter Injection

open access: yesAdvanced Intelligent Systems, EarlyView.
We present a method for the control of robot swarms which allows the shaping and the translation of patterns of simple robots (“smart particles”), using two types of devices. These two types represent a hierarchy: a larger group of simple, oblivious robots (which we call the workers) that is governed by simple local attraction forces and a smaller ...
Vivek Shankar Varadharajan   +1 more
wiley   +1 more source

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