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Generalized matrix functions, determinant and permanent
پژوهشهای ریاضی, 2022 Introduction Since linear and multilinear algebra has many applications in different branches of sciences, the attention of many mathematicians has been attracted to it in recent decades. The determinant and the permanent are the most important functions
Mohammad Hossein Jafari, Ali Reza Madadi
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The enamel organic matrix: structure and function
Brazilian Journal of Oral Sciences, 2015 Dental enamel is the most mineralized tissue in the vertebrate body and contains the largest known biologically formed hydroxyapatite crystals. Its formation occurs extracellularly through the collaboration of a proteic transient framework (the enamel ...
Alexandre Ribeiro Espírito Santo +1 more
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A Perspective Approach for Characterization of Lieb Concavity Theorem
Demonstratio Mathematica, 2016 Lieb’s extension theorem holds for generalized p + q ∈ [0; 1] and Ando convexity theorem holds for q - r > 1. In this paper, we give a complete characterization for concavity or convexity of Lieb well known theorem in the case where p + q ≥ 1 or p+q ≤ 0.
Nikoufar Ismail
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Formalization of Function Matrix Theory in HOL
Journal of Applied Mathematics, 2014 Function matrices, in which elements are functions rather than numbers, are widely used in model analysis of dynamic systems such as control systems and robotics.
Zhiping Shi +5 more
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Resilin matrix distribution, variability and function in Drosophila
BMC Biology, 2020 Background Elasticity prevents fatigue of tissues that are extensively and repeatedly deformed. Resilin is a resilient and elastic extracellular protein matrix in joints and hinges of insects.
Steven Lerch +7 more
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THE GENERALIZED Q-BESSEL MATRIX FUNCTION OF TWO VARIABLES
مجلّة جامعة عدن للعلوم الأساسيّة والتّطبيقيّة, 2020 The Bessel function is probably the best known special function, within pure and applied mathematics. In this paper, we introduce the generalized q-analogue Bessel matrix function of two variables.
Fadhl S. N. Alsarahi
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$\mathrm{BC}_{2}$-Type Multivariable Matrix Functions and Matrix Spherical Functions [PDF]
Publications of the Research Institute for Mathematical SciencesMatrix spherical functions associated to the compact symmetric pair (\mathrm{SU}(m+2), \mathrm{S}(\mathrm{U}(2)\times \mathrm{U}(m))) , m\geq 2 , having a reduced ...
Koelink, H.T., Koelink, H.T., Liu, J.
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MATRIX METALLOPROTEINASES AND THEIR FUNCTION IN MYOCARDIUM [PDF]
Biomedical Papers, 2005 A significant number of myocardial diseases are accompanied by increased synthesis and degradation of the extracellular matrix (ECM) as well as by changed maturation and incorporation of ECM components. Important groups of enzymes responsible for both normal and pathological processes in ECM remodeling are matrix metaloproteinases (MMPs). These enzymes
Jirí, Kukacka +3 more
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Nature CommunicationsCollagen VI links the cell surface to the extracellular matrix to provide mechanical strength to most mammalian tissues, and is linked to human diseases including muscular dystrophy, fibrosis, cardiovascular disease and osteoarthritis.
Alan R. F. Godwin +5 more
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Exact Expressions for Kullback–Leibler Divergence for Multivariate and Matrix-Variate Distributions
EntropyThe Kullback–Leibler divergence is a measure of the divergence between two probability distributions, often used in statistics and information theory. However, exact expressions for it are not known for multivariate or matrix-variate distributions apart ...
Victor Nawa, Saralees Nadarajah
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