Results 31 to 40 of about 1,961,324 (211)
Abstract The issue of inequality caused by algorithms, termed ‘algorithmic inequality’, has recently attracted scholarly attention in many disciplines due to its profound implications for society. While the body of literature on algorithmic inequality has grown, there remains a lack of comprehensive understanding of its nature, drivers, and impact ...
Shiwei Jia, Jia Tina Du, Hui Yan
wiley +1 more source
Abstract Homogeneous normalized random measures with independent increments represent a broad class of Bayesian nonparametric priors and thus are widely used. In this article, we obtain the strong law of large numbers, the central limit theorem (CLT), and the functional central limit theorem (fCLT) of such measures when the concentration parameter a ...
Junxi Zhang, Shui Feng, Yaozhong Hu
wiley +1 more source
A physics‐informed machine learning approach successfully decodes the complex catalytic activity of high‐entropy alloys for ammonia oxidation. By revealing a synergistic mechanism involving lattice and electronic couplings, the study identifies a superior “isolated‐surrounded” platinum motif.
Shangfeng Jiang +5 more
wiley +1 more source
ALGEBRAIC TOPOLOGY AND PHYSICS (Women in Mathematics) [PDF]
Recently, there has been a growing interest in the relations between algebraic topology and physics. Algebraic topology is used to classify physical systems, and it can be a very powerful tool to analyze physical problems in purely mathematical ways.
YAMASHITA, MAYUKO
core
The Reduction Theorem for Leavitt Path Algebras of Labeled Graphs and Its Applications
ABSTRACT We introduce a notion of labeled cycle for normal labeled spaces and prove a reduction theorem for Leavitt path algebras associated with labeled graphs. We show that every nonzero element can be reduced, by suitable left and right multiplication, either to a nonzero scalar multiple of a projection or to a polynomial supported on a labeled ...
Daniel Gonçalves +2 more
wiley +1 more source
Finite‐Difference Reduced Transfer Matrix Method for Multibody Systems With Rotating Beams
ABSTRACT Multibody systems with rotating beams serve as critical simplified models of core components in engineering systems; however, existing analytical and numerical methods have limitations in analyzing their complex dynamic behavior. This paper proposes the Finite‐Difference Reduced Multibody System Transfer Matrix Method (FD‐RMSTMM), which ...
Ziyao Ma +3 more
wiley +1 more source
Supervised Protein Structure Classification Using Topological Persistence With DeltaFold
ABSTRACT Recent advances in protein structure prediction have considerably increased the number of available structures, underscoring the need for scalable and accurate methods to compare and classify this huge amount of data. Current approaches based on sequence alignment or structural superposition often lack sensitivity and/or are computationally ...
Joseph Nardin‐Gennequin +3 more
wiley +1 more source
Algebraic topology: a first course
To the Teacher. This book is designed to introduce a student to some of the important ideas of algebraic topology by emphasizing the re lations of these ideas with other areas of mathematics.
William Fulton, Fulton, William
core +1 more source
Sliding Mode Control in Aerospace Applications: A Survey
ABSTRACT Sliding mode control (SMC) enjoys robustness to matched and unmatched (in the case of minimum phase input‐output dynamics) bounded perturbations, and finite time convergence. Second‐order and higher‐order sliding mode control systems (2‐SMC/HOSMC) retain all the advantages of sliding mode control, but in addition can be applied to systems of ...
Yuri Shtessel, Christopher Edwards
wiley +1 more source
Sliding Motions on Non‐Euclidean State Spaces: A Differential‐Geometric Perspective
ABSTRACT This paper extends sliding‐mode control theory to nonlinear systems evolving on smooth manifolds. Building on differential geometric methods, we reformulate Filippov's notion of solutions, characterize well‐defined vector fields on quotient spaces, and provide a consistent geometric definition of higher‐order sliding modes.
Fernando Castaños
wiley +1 more source

