Download or read book Techno Art of Selariu SuperMathematics Functions written by Florentin Smarandache and published by Infinite Study. This book was released on 2007 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: This album of tehno-art represents the complements of ex-centric mathematics, which, reunited with the ordinary mathematics, have been temporarily named supermathematics. It has been named this way because it generates the multiplication, from one to infinite, of all functions, curves, relations, etc., in other words of all actual mathematics? entities. The supermathematics has the same equation for circle as for perfect square or triangles. In supermathematics there is no difference between linear and nonlinear. And, also, as it can be observed from this album, it gets, sometimes, ?artistic? valences. And this is just a small human step in mathematics and a big leap of mathematics for the mankind.The preparation of this album was made possible only because of the discovery of the mathematics? complements. The mathematical expressions of the new supermathematics functions constitute the base of the colored curves? families, as well as the base of some technical and/or artistic solids.

Download or read book Techno Art of Selariu Supermathematics Functions 2nd volume written by Florentin Smarandache and published by Infinite Study. This book was released on 2015 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the new Techno-Art of Selariu SuperMathematics Functions ALBUM (the second book of Selariu SuperMathematics Functions), one contemplates a unique COMPOSITION, INTER-, INTRA- and TRANS-DISCIPLINARY. A comprehensive and savant INTRODUCTION explains the genesis of the inserted "figures", the addressees being, without discriminating criteria, equally engineers, mathematicians, artists, graphic designers, architects, and all lovers of beauty – as the love of beauty is the supreme form of love. If I should put a label on the "content" of this ALBUM, I would concoct the word NEO-BEAUTY! The new complements of mathematics, reunited under the name of ex-centric mathematics (EM), extend (theoretically, endless) their scope; in this respect, Selariu SuperMathematics Functions are undeniable arguments! The author has labored (especially in the last three decades) extensively and fruitfully in the elitist field of the domain. To mention some 'milestones' in this ALBUM, I choose specific mathematical elements, supermatematically hybridated: quadrilobic cubes, sphericubes, conopyramids, ex-centric spirals, severed toroids. There are also those that would qualify as "utilitarian": clepsydras, vases, baskets, lampions, or those suggestively “baptized” (by the author): butterflies, octopuses, flying saucers, jellies, roundabouts, ribands, and so on – all superlatively designed in shapes and colors! Striking phrases, such as “staggering multiplication of the dimensions of the Universe”, “integration through differential division” etc., become plausible (and explained) by replacing the time (of Einstein's four-dimensional space) with ex-centricity. Consequently, classical geometrical bodies (for e=0): the sphere, the cylinder, the cone, undergo metamorphosis (for e = +/-1), respectively into a cube, a prism, a pyramid. Inevitably and invariably, it is confirmed again that science is a finite space that grows in the infinite space; each new "expansion" does include a new area of unknown, but the unknown is inexhaustible... Just browsing the ALBUM pages, you feel induced by the sensation of pleasure, of love at first sight; the variety of "exhibits", most of them unusual, the elegance, the symmetry of the layout, the chromatic, and so one, delight the eye, but equally incites to catchy intellectual exploration.

Download or read book TECHNO ART OF SELARIU SUPERMATHEMATICS FUNCTIONS 3rd volume written by Florentin Smarandache and published by Infinite Study. This book was released on 2021-07-01 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: The name of supermathematics (SM) was coined by the late mathematician Prof. em. Dr. doc. eng. Gheorghe Silaş who, at the presentation of the first works in this field, at the First National Conference of Vibrations in Machine Construction, Timişoara, 1978, entitled “EXCENTRIC CIRCULAR FUNCTIONS” declared: “Young man, you didn't just discover some new functions, but a new mathematics, a supermathematics”. Then, at my age of 40, I was as happy as I was when a teenager. And I found, with great satisfaction, that he might be right! In 1978! In 2000, after 22 years, he offered me to write an article about supermathematics in the publication “Rigid Solid Mechanics”, to which he was editor. That's how the work “RIGOROUS TRANSFORMATION OF COMPLIANCE INTO THE CIRCLE” was born. Important work, we believe. It also has a negative frequency! The prefix super is justified today, in order to highlight emerging new mathematical complements, reunited under the name of excentric mathematics (EM), with much more important and infinitely more numerous entities than the existing entities in the actual ordinary mathematics, which we must call centric mathematics (CM). - Mircea Eugen Selariu

Download or read book Multispace Multistructure Neutrosophic Transdisciplinarity 100 Collected Papers of Science written by Florentin Smarandache and published by Infinite Study. This book was released on 2010 with total page 802 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an eclectic tome of 100 papers in various fields of sciences, alphabetically listed, such as: astronomy, biology, calculus, chemistry, computer programming codification, economics and business and politics, education and administration, game theory, geometry, graph theory,information fusion, neutrosophic logic and set, non-Euclidean geometry, number theory, paradoxes, philosophy of science, psychology, quantum physics, scientific research methods, and statistics ¿ containing 800 pages.It was my preoccupation and collaboration as author, co-author, translator, or co-translator, and editor with many scientists from around the world for long time. Many ideas from this book are to be developed and expanded in future explorations.

Download or read book CARDINAL FUNCTIONS AND INTEGRAL FUNCTIONS written by MIRCEA E. SELARIU and published by Infinite Study. This book was released on with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper presents the correspondences of the eccentric mathematics of cardinal and integral functions and centric mathematics, or ordinary mathematics. Centric functions will also be presented in the introductory section, because they are, although widely used in undulatory physics, little known.

Download or read book Some Properties of the Harmonic Quadrilateral written by Ion Patrascu and published by Infinite Study. This book was released on with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this article, we review some properties of the harmonic quadrilateral related to triangle simedians and to Apollonius’s Circle.

Download or read book The Geometry of Homological Triangles written by Florentin Smarandache, Ion Patrascu and published by Infinite Study. This book was released on 2011 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book A Gyrovector Space Approach to Hyperbolic Geometry written by Abraham Ungar and published by Morgan & Claypool Publishers. This book was released on 2009-03-08 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mere mention of hyperbolic geometry is enough to strike fear in the heart of the undergraduate mathematics and physics student. Some regard themselves as excluded from the profound insights of hyperbolic geometry so that this enormous portion of human achievement is a closed door to them. The mission of this book is to open that door by making the hyperbolic geometry of Bolyai and Lobachevsky, as well as the special relativity theory of Einstein that it regulates, accessible to a wider audience in terms of novel analogies that the modern and unknown share with the classical and familiar. These novel analogies that this book captures stem from Thomas gyration, which is the mathematical abstraction of the relativistic effect known as Thomas precession. Remarkably, the mere introduction of Thomas gyration turns Euclidean geometry into hyperbolic geometry, and reveals mystique analogies that the two geometries share. Accordingly, Thomas gyration gives rise to the prefix "gyro" that is extensively used in the gyrolanguage of this book, giving rise to terms like gyrocommutative and gyroassociative binary operations in gyrogroups, and gyrovectors in gyrovector spaces. Of particular importance is the introduction of gyrovectors into hyperbolic geometry, where they are equivalence classes that add according to the gyroparallelogram law in full analogy with vectors, which are equivalence classes that add according to the parallelogram law. A gyroparallelogram, in turn, is a gyroquadrilateral the two gyrodiagonals of which intersect at their gyromidpoints in full analogy with a parallelogram, which is a quadrilateral the two diagonals of which intersect at their midpoints. Table of Contents: Gyrogroups / Gyrocommutative Gyrogroups / Gyrovector Spaces / Gyrotrigonometry

Download or read book Neutrosophic Sets in Decision Analysis and Operations Research written by Abdel-Basset, Mohamed and published by IGI Global. This book was released on 2019-12-27 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: In information technology, the concepts of cost, time, delivery, space, quality, durability, and price have gained greater importance in solving managerial decision-making problems in supply chain models, transportation problems, and inventory control problems. Moreover, competition is becoming tougher in imprecise environments. Neutrosophic sets and logic are gaining significant attention in solving real-life problems that involve uncertainty, impreciseness, vagueness, incompleteness, inconsistency, and indeterminacy. Neutrosophic Sets in Decision Analysis and Operations Research is a critical, scholarly publication that examines various aspects of organizational research through mathematical equations and algorithms and presents neutrosophic theories and their applications in various optimization fields. Featuring a wide range of topics such as information retrieval, decision making, and matrices, this book is ideal for engineers, technicians, designers, mathematicians, practitioners of mathematics in economy and technology, scientists, academicians, professionals, managers, researchers, and students.

Download or read book The Elements of Non Euclidean Geometry written by Julian Lowell Coolidge and published by . This book was released on 1909 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Advanced Euclidean Geometry written by Roger A. Johnson and published by Courier Corporation. This book was released on 2013-01-08 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic text explores the geometry of the triangle and the circle, concentrating on extensions of Euclidean theory, and examining in detail many relatively recent theorems. 1929 edition.

Download or read book Only Problems not Solutions written by Florentin Smarandache and published by Infinite Study. This book was released on 1991 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Introduction to Bimatrices written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2005 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: Generally any real-world problem is not always solvable, because in that not only a percentage of uncertainty is present, but also, a certain percentage of indeterminacy is present. The presence of uncertainty has been analyzed using fuzzy logic. In this book the amount of indeterminacy is being analyzed using neutrosophic logic.Most of these models use the concept of matrices. Matrices have certain limitation; when the models are time-dependent and any two experts opinions are being studied simultaneously, one cannot compare both of them at each stage. The new concept of bimatrices would certainly cater to these needs.A bimatrix AB = A1 U B2, where A1 and A2 are distinct matrices of arbitrary order. This book introduces the concept of bimatrices, and studies several notions like bieigen values, bieigen vectors, characteristic bipolynomials, bitransformations, bioperators and bidiagonalization.Further, we introduce and explore the concepts like fuzzy bimatrices, neutrosophic bimatrices and fuzzy neutrosophic bimatrices, which will find its application in fuzzy and neutrosophic logics.

Download or read book Optimization Theory Based on Neutrosophic and Plithogenic Sets written by Florentin Smarandache and published by Academic Press. This book was released on 2020-01-14 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimization Theory Based on Neutrosophic and Plithogenic Sets presents the state-of-the-art research on neutrosophic and plithogenic theories and their applications in various optimization fields. Its table of contents covers new concepts, methods, algorithms, modelling, and applications of green supply chain, inventory control problems, assignment problems, transportation problem, nonlinear problems and new information related to optimization for the topic from the theoretical and applied viewpoints in neutrosophic sets and logic. - All essential topics about neutrosophic optimization and Plithogenic sets make this volume the only single source of comprehensive information - New and innovative theories help researchers solve problems under diverse optimization environments - Varied applications address practitioner fields such as computational intelligence, image processing, medical diagnosis, fault diagnosis, and optimization design

Download or read book Episodes in Nineteenth and Twentieth Century Euclidean Geometry written by Ross Honsberger and published by Cambridge University Press. This book was released on 1995 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Professor Honsberger has succeeded in 'finding' and 'extricating' unexpected and little known properties of such fundamental figures as triangles, results that deserve to be better known. He has laid the foundations for his proofs with almost entirely synthetic methods easily accessible to students of Euclidean geometry early on. While in most of his other books Honsberger presents each of his gems, morsels, and plums, as self contained tidbits, in this volume he connects chapters with some deductive treads. He includes exercises and gives their solutions at the end of the book. In addition to appealing to lovers of synthetic geometry, this book will stimulate also those who, in this era of revitalizing geometry, will want to try their hands at deriving the results by analytic methods. Many of the incidence properties call to mind the duality principle; other results tempt the reader to prove them by vector methods, or by projective transformations, or complex numbers.

Download or read book Neutrosophic Set A Generalization of The Intuitionistic Fuzzy Set written by Florentin Smarandache and published by Infinite Study. This book was released on 2010-08-23 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper one generalizes the intuitionistic fuzzy set (IFS), paraconsistent set, and intuitionistic set to the neutrosophic set (NS). Many examples are presented. Distinctions between NS and IFS are underlined.

Download or read book Vedic Mathematics Vedic or Mathematics A Fuzzy Neutrosophic Analysis written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2006-12 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ?Vedas? are considered ?divine? in origin and are assumed to be revelations from God. In traditional Hinduism, the Vedas were to be learnt only by the ?upper? caste Hindus. The ?lower castes? (Sudras) and so-called ?untouchables? (who were outside the Hindu social order) were forbidden from even hearing to its recitation. In recent years, there have been claims that the Vedas contain the cure to AIDS and the production of electricity.Here the authors probe into Vedic Mathematics (that gained renown during the revivalist Hindutva rule in India and was introduced into school syllabus in several states); and explore if it is really ?Vedic? in origin or ?Mathematics? in content. To gain a better understanding of its imposition, we interviewed students, teachers, parents, educationists and activists. We analyze this problem using models like Fuzzy Cognitive Maps (FCM), Fuzzy Relational Maps (FRM) and newly constructed Fuzzy Dynamical System (and their Neutrosophic Analogues). The issue of imposition of Vedic Mathematics into the school curriculum involves religious politics, caste supremacy, apart from elementary arithmetic ? so we use fuzzy and neutrosophic techniques to gain acute insight into how students have been affected because of this politically motivated syllabus revision.