Results 31 to 40 of about 1,125 (237)
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
TRIANGULAR MATRIX REPRESENTATIONS OF SKEW MONOID RINGS
Let R be a ring and S a u.p.-monoid. Assume that there is a monoid homomorphism α : S → Aut (R). Suppose that α is weakly rigid and lR(Ra) is pure as a left ideal of R for every element a ∈ R.
Zhongkui, Liu, Xiaoyan, Yang
core +1 more source
This study proposes a deep learning approach to evaluate the fatigue crack behavior in metals under overload conditions. Using digital image correlation to capture the strain near crack tips, convolutional neural networks classify crack states as normal, overload, or recovery, and accurately predict fatigue parameters.
Seon Du Choi +5 more
wiley +1 more source
In this book we define the new notion of neutrosophic rings. The motivation for this study is two-fold. Firstly, the classes of neutrosophic rings defined in this book are generalization of the two well-known classes of rings: group rings and semigroup ...
Vasantha, Kandasamy +2 more
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Long‐Range Interactions in Topological Superconducting Systems: A Mini Review
Long‐range interacting quantum systems are surveyed in this review, with an emphasis on the long‐range topological superconductor and its variants. Long‐range interactions decaying in a power‐law manner can lead to exotic phenomena that finds no analogue in short‐range regimes.
Juntong Ren, Haifeng Lü
wiley +1 more source
An efficient deep learning model for brain tumour detection with privacy preservation
Abstract Internet of medical things (IoMT) is becoming more prevalent in healthcare applications as a result of current AI advancements, helping to improve our quality of life and ensure a sustainable health system. IoMT systems with cutting‐edge scientific capabilities are capable of detecting, transmitting, learning and reasoning.
Mujeeb Ur Rehman +8 more
wiley +1 more source
LINKAGE AND DUALITY OF MODULES
Martsinkovsky and Strooker [13] recently introduced module theoretic linkage using syzygy and transpose. This generalization brings possibility of much application of linkage, especially, to homological theory of modules. In the present paper, we connect
Nishida, Kenji, Kenji Nishida
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A‐optimal model‐based design of experiments for processes with uncertain inputs
Abstract Model‐based design of experiments (MBDoE) techniques are tools for selecting experimental conditions that enable accurate parameter estimation for mechanistic models. Most MBDoE approaches assume that the selected experimental conditions will be implemented perfectly, without uncertainties in the independent variables.
Bright Ofori +3 more
wiley +1 more source
Abstract This work presents a simplified extended‐batch adsorber analogue model (e‐BAAM) to quantify key performance metrics such as purity, recovery, and energy trends for various pressure swing adsorption (PSA) process cycles for CO2$$ {\mathrm{CO}}_2 $$ capture.
Gwyneth Liske, Arvind Rajendran
wiley +1 more source
Exceptional Sequences over Graded Cohen-Macaulay Rings
The concept of exceptional sequences was developed by Gorodentsev and Rudakov in [3] and generalized by Bondal in [1].
Tokuji Araya, Araya, Tokuji
core +1 more source

