Techno-Art of Selariu SuperMathematics Functions


Book Description

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.




Techno-Art of Selariu Supermathematics Functions, 2nd volume


Book Description

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.




TECHNO-ART OF SELARIU SUPERMATHEMATICS FUNCTIONS, 3rd volume


Book Description

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




Techno-Art of Selariu SuperMathematics Functions


Book Description

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.




Multispace & Multistructure. Neutrosophic Transdisciplinarity (100 Collected Papers of Science)


Book Description

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.




CARDINAL FUNCTIONS AND INTEGRAL FUNCTIONS


Book Description

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.




Some Properties of the Harmonic Quadrilateral


Book Description

In this article, we review some properties of the harmonic quadrilateral related to triangle simedians and to Apollonius’s Circle.







A Gyrovector Space Approach to Hyperbolic Geometry


Book Description

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




Neutrosophic Sets in Decision Analysis and Operations Research


Book Description

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.