Results 111 to 120 of about 168,182,808 (297)
Higher theories of algebraic structures
The notion of (symmetric) coloured operad or "multicategory" can be obtained from the notion of commutative algebra through a certain general process which we call "theorization" (where our term comes from an analogy with William Lawvere's notion of algebraic theory). By exploiting the inductivity in the structure of higher associativity, we obtain the
openaire +2 more sources
This graphical abstract illustrates the unified framework of Data Field Theory (DFT), integrating hyperbolic geometry for hierarchical embedding, gauge theory for internal symmetries, renormalization group for multi‐scale dynamics, Lévy processes for heavy‐tailed fluctuations, noncommutative geometry for quantum‐inspired cognition, and higher ...
Mohammadreza Nehzati
wiley +1 more source
A Neutrosophic Deep Hyper-Algebraic Model for University Physical Education Teaching: A Multilayered Analytical Framework [PDF]
This paper introduces a novel mathematical framework titled the Neutrosophic Deep Hyper-Algebraic Model (NDHAM) designed to address the inherent indeterminacy, vagueness, and contradiction in university physical education teaching systems.
Wei Xu
doaj +1 more source
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
Crystal structure prediction by generalized disjunctive programming
Inorganic structural chemistry leads naturally to a theory for crystal structure prediction formalized by a generalized disjunctive programming, which is formulated using continuous and Boolean variables to involve the algebraic equations, disjunctions ...
Ryotaro Koshoji
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On structural controllability in complex networks with periodic switching topologies
Abstract This paper investigates the structural controllability of complex networks with periodic switching topologies. First, several graph transformations that preserve structural controllability are demonstrated. Based on the n‐walk theory, a criterion is derived that determines structural controllability by analyzing only the joint graph within a ...
Jingrui Hou +3 more
wiley +1 more source
Controllability and Observability Conditions for Impulsive DAEs on Time Scales
ABSTRACT This paper establishes criteria for controllability and observability in a class of linear time‐invariant impulsive differential‐algebraic equations (DAEs) defined on a time scale. Controllability is defined as the ability to transfer the system state from any initial condition to any desired state within a finite time interval using an ...
Awais Younus +3 more
wiley +1 more source
NEARLY COMPLETE STRONG SEMILATTICE OF LEFT GROUPS
This study provides significant insights into the structure and behavior of a strong semilattice of left groups, establishing a solid foundation for future research in this domain. The work commences by presenting significant findings about endomorphisms
Aftab Hussain Shah +2 more
doaj +1 more source
Subspace‐Based System Identification From Binary Measurements
ABSTRACT This paper is concerned with subspace identification from binary measurements for systems whose dynamical behavior can be splited into a deterministic and a stochastic subsystem. An identification algorithm is detailed. The main contribution of the proposed identification algorithm lies in the identification of both the deterministic subsystem
Alex Ali Mestrah +2 more
wiley +1 more source
Algebraic structures in monochromatic homotopy theory [PDF]
Chromatic homotopy theory aims to study the category of spectra, Sp, by splitting it into an infinite family of colors—like shining white light through a prism. Each individual color is specified by a wavelength, or periodicity, given by 2pn - 2, where p
Aambø, Torgeir
core +1 more source

