Results 71 to 80 of about 2,163,565 (354)
Gauss and generalized inverses
Historia Mathematica, 1980 AbstractAlthough Gauss did not formalize the notion of a generalized inverse, he provided the essential ingredients to produce one.
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Beyond Order: Perspectives on Leveraging Machine Learning for Disordered Materials
Advanced Engineering Materials, EarlyView.This article explores how machine learning (ML) revolutionizes the study and design of disordered materials by uncovering hidden patterns, predicting properties, and optimizing multiscale structures. It highlights key advancements, including generative models, graph neural networks, and hybrid ML‐physics methods, addressing challenges like data ...
Hamidreza Yazdani Sarvestani +4 more
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Forward Order Law for the Reflexive Inner Inverse of Multiple Matrix Products
Axioms, 2022 The generalized inverse has numerous important applications in aspects of the theoretic research of matrices and statistics. One of the core problems of generalized inverse is finding the necessary and sufficient conditions for the reverse (or the ...
Wanna Zhou, Zhiping Xiong, Yingying Qin
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Mathematics, 2019 In this article, we consider two inverse problems with a generalized fractional derivative. The first problem, IP1, is to reconstruct the function u based on its value and the value of its fractional derivative in the neighborhood of the final time.
N. Kinash, J. Janno
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Advanced Engineering Materials, EarlyView.This study explores aerosol jet‐printed (AJP) surface roughness, its effects on the performance of microwave electronics, and its process contributors. First, an electromagnetic model is vetted for AJP's unique roughness signature. Simulations are built which show process‐induced roughness is as significant as conductor resistivity in driving microwave
Christopher Areias, Alkim Akyurtlu
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The Forward Order Law for Least Squareg-Inverse of Multiple Matrix Products
Mathematics, 2019 The generalized inverse has many important applications in the aspects of the theoretic research of matrices and statistics. One of the core problems of the generalized inverse is finding the necessary and sufficient conditions of the forward order laws ...
Zhiping Xiong, Zhongshan Liu
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Inverse Problems for a generalized subdiffusion equation with Final Overdetermination
Mathematical Modelling and Analysis, 2019 We consider two inverse problems for a generalized subdiffusion equation that use the final overdetermination condition. Firstly, we study a problem of reconstruction of a specific space-dependent component in a source term.
J. Janno, N. Kinash
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Advanced Engineering Materials, EarlyView.Morphological features of three defect types in metal additive manufacturing (AM)—lack of fusion, keyhole, and gas‐entrapped pores—are statistically characterized using best‐fit distributions evaluated via coefficient‐of‐determination, Kolmogorov–Smirnov test, and quantile–quantile plots.
Ahmad Serjouei, Golnaz Shahtahmassebi
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Skew-symmetric matrices related to the vector cross product in ℂ7
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 Skew-symmetric matrices of order 7 defined through the 2-fold vector cross product in ℂ7, and other related matrices, are presented. More concretely, matrix properties, namely invertibility, nullspace, powers and index, are studied.
Beites P. D. +2 more
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Advanced Engineering Materials, EarlyView.This study aims to establish a link between the dielectric properties of polyamide 12 (PA12) and its thermal and rheological properties using dielectric analysis (DEA). A standardized methodology is introduced to determine melting and crystallization temperatures.
Benedikt Burchard +2 more
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