The Classes Of Higher Dimensional Polytopes In Chemical Physical And Biological Systems

Download or read book The Classes of Higher Dimensional Polytopes in Chemical, Physical, and Biological Systems written by Zhizhin, Gennadiy Vladimirovich and published by IGI Global. This book was released on 2022-04-08 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of the geometry of structures that arise in a variety of specific natural systems, such as chemical, physical, biological, and geological, revealed the existence of a wide range of types of polytopes of the highest dimension that were unknown in classical geometry. At the same time, new properties of polytopes were discovered as well as the geometric patterns to which they obey. There is a need to classify these types of polytopes of the highest dimension by listing their properties and formulating the laws to which they obey. The Classes of Higher Dimensional Polytopes in Chemical, Physical, and Biological Systems explains the meaning of higher dimensions and systematically generalizes the results of geometric research in various fields of knowledge. This book is useful both for the fundamental development of geometry and for the development of branches of science related to human activities. It builds upon previous books published by the author on this topic. Covering areas such as heredity, geometry, and dimensions, this reference work is ideal for researchers, scholars, academicians, practitioners, industry professionals, instructors, and students.

Download or read book The Classes of Higher Dimensional Polytopes in Chemical, Physical, and Biological Systems written by Gennadiy Vladimirovich Zhizhin and published by Engineering Science Reference. This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This monograph explains the meaning of higher dimensions of classical geometry and systematically generalizes the results of geometric research in various fields of knowledge leading to the development of branches of science related to human activities"--

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Download or read book Polymer-Inorganic Nanostructured Composites Based on Amorphous Silica, Layered Silicates, and Polyionenes written by Sukhyy, Kostyantyn M. and published by IGI Global. This book was released on 2023-02-20 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Global trends suggest that 21st-century science and technology will be nanoscale, as traditional technologies have exhausted the potential for miniaturizing individual elements, prompting the search for alternative pathways. Nanophase materials science differs from the traditional one not only by the creation of fundamentally new materials, but also by processes that take place at the atomic and molecular levels, monolayers, and nano volumes. Polymer-Inorganic Nanostructured Composites Based on Amorphous Silica, Layered Silicates, and Polyionenes is devoted to the development of physical and chemical principles of technology for polymer-inorganic nanostructured composites based on amorphous silica, layered silicates, and polyionenes to use the creation of composites for technical purposes. Covering topics such as fractal structure, phosphoric-organic compounds, and proton conductance, this premier reference source is an essential resource for chemists, engineers, students, and educators of higher education, researchers, and academicians.