Results 251 to 260 of about 156,630 (288)

Homeomorphisms of Compact, Convex Sets and the Jacobian Matrix

SIAM Journal on Mathematical Analysis, 1979
Let $K \subset R^n $ be a compact, convex polyhedron and $f:K \to R^n $ a $C^1 $ function. The problem of existence of a global inverse for f is studied. It is shown (Theorem 1) that f has an inverse, if, for every $x \in K$, the Jacobian of f at x, $Jf(x)$, is such that for every linear space spanned by a face of K containing x the determinant of the ...
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The Jacobian Matrix-Based Learning Machine in Student

2017
The student learning performance is analyzed that we adopted the proposed Jacobian Matrix-based Learning Machine (JMLM). It is significant for establishing prediction machine learning model for student learning performance and these tool can help teacher to analyze the student data not difficult to analyze.
Yi-Zeng Hsieh, Mu-Chun Su, Yu-Lin Jeng
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Partial derivatives and jacobian matrix

2023
Md Rejwanur Rashid Mojumdar, Meskat Hossain   +1 more
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Optical Path Length and Its Jacobian Matrix

2016
The optical path length (OPL) is an essential property of optical systems since it determines the phase of the light and governs the interference and diffraction of the rays as they propagate.
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The biofilm matrix: multitasking in a shared space

Nature Reviews Microbiology, 2022
Hans-Curt Flemming, Eric D Van Hullebusch, Thomas R Neu   +2 more
exaly  

Partial Differentiation: Gradient, Hessian Matrix, Jacobian Matrix

2022
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Cell–extracellular matrix mechanotransduction in 3D

Nature Reviews Molecular Cell Biology, 2023
Aashrith Saraswathibhatla, Dhiraj Indana, Ovijit Chaudhuri   +2 more
exaly  

The matrix in cancer

Nature Reviews Cancer, 2021
Thomas Cox
exaly  

Nonlinear mappings with an almost sparse Jacobian matrix

1995
The paper deals with a class of nonlinear mappings with an almost sparse Jacobian matrix. Two methods are proposed for solving \(F(x)=0\): The first one is a modification of the Newton method with an almost sparse Jacobian matrix. The second method uses a variant of the secant method.
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Jacobians of Matrix Transformations and Functions of Matrix Argument

Journal of the American Statistical Association, 1999
Ingram Olkin, A. M. Mathai
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