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This Special Issue of the journal Entropy, titled “Information Geometry I”, contains a collection of 17 papers concerning the foundations and applications of information geometry. Based on a geometrical interpretation of probability, information geometry has become a rich mathematical field employing the methods of differential geometry. It has numerous applications to data science, physics, and neuroscience. Presenting original research, yet written in an accessible, tutorial style, this collection of papers will be useful for scientists who are new to the field, while providing an excellent reference for the more experienced researcher. Several papers are written by authorities in the field, and topics cover the foundations of information geometry, as well as applications to statistics, Bayesian inference, machine learning, complex systems, physics, and neuroscience.

decomposable divergence --- tensor Sylvester matrix --- maximum pseudo-likelihood estimation --- matrix resultant --- ?) --- Markov random fields --- Fisher information --- Fisher information matrix --- Stein equation --- entropy --- Sylvester matrix --- information geometry --- stationary process --- (? --- dually flat structure --- information theory --- Bezout matrix --- Vandermonde matrix

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This eBook is a collection of articles from a Frontiers Research Topic. Frontiers Research Topics are very popular trademarks of the Frontiers Journals Series: they are collections of at least ten articles, all centered on a particular subject. With their unique mix of varied contributions from Original Research to Review Articles, Frontiers Research Topics unify the most influential researchers, the latest key findings and historical advances in a hot research area! Find out more on how to host your own Frontiers Research Topic or contribute to one as an author by contacting the Frontiers Editorial Office: frontiersin.org/about/contact

microenvironment --- extracellular matrix --- disease --- cancer --- aging

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This study deals with the fatigue behaviour of metal-matrix-composites (MMCs) having ceramic contents of 30 to 39 Vol-%. The MMCs where produced by way of infiltrating a ceramic preform by an aluminium alloy. The characterisation of the MMC's cyclic and fatigue behaviour was researched on the basis of isothermal and thermal-mechanical fatigue tests.

Verbundwerkstoffe --- Metal-Matrix-Composites --- Preform-MMCs --- thermisch-mechanische Ermüdung --- TMF

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At present, the textile sector is involved in many diversified fields for the development and sustainability of novel products and polymer-based composites, with several challenges present when it comes to producing innovative, novel, and durable materials. The fabrication of textiles and polymer-based composites as advanced and multifunctional materials in applied industries is a core fundamental concept of this Special Issue, including textile materials, their structures, surface-treated textiles, nanocoated textiles, mathematical modeling, and the use of artificial intelligence (machine learning) for the predicting their most important parameters; textile material reinforcement in composites and polymer composites; and the synthesis, characterization, and applications of textile-based polymer composites for economic and environmental sustainability. This Special Issue covers the following research topics: Synthesis and characterization of functional textiles-natural, synthetic, blended, etc.; Synthesis and characterization of polymer composites-natural, synthetic, hybrid, inorganic, etc.; Analysis of developed composites-interfacial, mechanical, thermal, physical, etc.; Surface treatment of textile-based polymer composites-coating, sorption processes. etc.

Polymeric composites. --- Composite polymeric materials --- Polymer-matrix composites --- Reinforced plastics

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This book reviews current research, including applications of matrices, spaces, and other characteristics. It discusses the application of matrices, which has become an area of great importance in many scientific fields. The theory of row/column determinants of a partial solution to the system of two-sided quaternion matrix equations is analyzed. It introduces a matrix that has the exponential function as one of its eigenvectors and realizes that this matrix represents finite difference derivation of vectors on a partition. Mixing problems and the corresponding associated matrices have different structures that deserve to be studied in depth. Special compound magic squares will be considered. Finally, a new type of regular matrix generated by Fibonacci numbers is introduced and we shall investigate its various topological properties.

Matrices. --- Algebra, Matrix --- Cracovians (Mathematics) --- Matrix algebra --- Matrixes (Algebra) --- Algebra, Abstract --- Algebra, Universal --- Physical Sciences --- Engineering and Technology --- Algebra --- Mathematics --- Linear Algebra