Results 31 to 40 of about 175,846,736 (289)
On application of Cramer’s rule
The article analyses a possibility of modification of Cramer’s rule. The modified formulas for the solution of a system of linear equations, with application of which the volume of calculation reduces, are suggested.
Antanas Apynis
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This text discusses the use of transformation matrices to determine the motion equations of the complex mechanical structure. Use of the transformation matrix does not apply only to motion equations but has the general use in relative positions determine
Zátopek Jiří
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An Iterative Algorithm for the Reflexive Solution of the General Coupled Matrix Equations
The general coupled matrix equations (including the generalized coupled Sylvester matrix equations as special cases) have numerous applications in control and system theory.
Zhongli Zhou, Guangxin Huang
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Algorithm for Calculating Statically Indeterminate Trusses Using the Force Method
The study focuses on developing an algorithm for calculating statically indeterminate trusses using the force method. The main challenge in algorithmizing the force method lies in obtaining the solution to the homogeneous equilibrium equations, which is ...
Vladimir V. Lalin, Timur R. Ibragimov
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ON ONE NONLINEAR INTEGRABLE MODEL OF WAVE INTERACTION
Background. In this work, the functional method is applied to a first-order matrix system and the corresponding equations of wave dynamics are derived.
V. M. Zhuravlev
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Proteostasis and the gut microbiota play a key role in shaping host physiology. Microbiota‐derived metabolites, vitamins, and RNA modulate host proteostasis. Findings from model systems, including C. elegans, indicate microbes can either stabilize or disrupt host proteostasis.
Abhishek Anil Dubey, Maria Ermolaeva
wiley +1 more source
Computation of least order solutions of linear rational equations [PDF]
We propose a numerically reliable approach for computing solutions of least McMillan order of linear equations with rational matrix coefficients. The main computational ingredients are the orthogonal reduction of the associated system matrix pencil to a ...
A. Varga, Varga, Andras
core
This review focuses on the role of autophagy and mitophagy in maintaining pancreatic β‐cell function and homeostasis. We discuss how genetic defects affecting these pathways contribute to the development of type 1, type 2, monogenic, and gestational diabetes. We further explore their potential as therapeutic targets. Created in BioRender.
Yunkyeong Lee +2 more
wiley +1 more source
Obesity raises blood levels of PAI‐1, a protein linked to metabolic dysfunction‐associated steatotic liver disease in people with obesity. In female mice fed a high‐fat diet, partially lowering PAI‐1 led to smaller subcutaneous fat cells and lower liver cholesterol, without changing body weight or insulin sensitivity.
Claudia E. Ramirez Bustamante +10 more
wiley +1 more source
Solving Systems of Linear Equations Based on Approximation Solution Projection Analysis
The paper considers an iterative method for solving systems of linear equations (SLE), which applies multiple displacement of the approximation solution point in the direction of the final solution, simultaneously reducing the entire residual of the ...
Lavendels Jurijs
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