Department of Molecular Systems Biology, University of Vienna, Vienna, Austria. Mathematical modeling of biochemical systems aims at improving the knowledge about complex regulatory networks. The ...
Recurrent neural network attractors have the potential to act as state systems, automata, and turing-complete computers. Therefore, a better understanding of these attractors could shed light on how ...
Many fields of science and engineering require finding eigenvalues and eigenvectors of large matrices. The solutions can represent oscillatory modes of a bridge, a violin, the disposition of electrons ...
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Understanding the 2×2 eigenvalue problem through Python
Unlock the power of linear algebra! Learn how to solve the 2×2 eigenvalue problem step by step using Python. Perfect for ...
In this paper, the notion of equitable partitions (EP) is used to study the eigenvalues of Euclidean distance matrices (EDMs). In particular, EP is used to obtain the characteristic polynomials of ...
Ky Fan trace theorems and the interlacing theorems of Cauchy and Poincaré are important observations that characterize Hermitian matrices. In this note, we introduce a new type of inequalities which ...
Understanding eigenvalues and the sum of matrices is crucial for various fields, including data science, machine learning, and engineering. This knowledge allows you to analyze complex systems, solve ...
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