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Techno-Art Of Selariu Supermathematics Functions, Vol. Iii, Florentin Smarandache
Techno-Art Of Selariu Supermathematics Functions, Vol. Iii, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
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 …
Neutroalgebra Theory, Vol. I, Florentin Smarandache, Memet Şahin, Derya Bakbak, Vakkas Uluçay, Abdullah Kargın
Neutroalgebra Theory, Vol. I, Florentin Smarandache, Memet Şahin, Derya Bakbak, Vakkas Uluçay, Abdullah Kargın
Branch Mathematics and Statistics Faculty and Staff Publications
In general, in any field of knowledge, with respect to any structure, one has the following neutrosophic triplet . They were introduced by Smarandache in 2019 and 2020.
1) A classical Structure is a structure whose all elements are characterized by the same given Relationships and Attributes and Laws.
2) A NeutroStructure is a structure that has at least one NeutroRelation or one NeutroAttribute or one NeutroLaw, and no AntiRelation and no AntiAttribute and no AntiLaw.
3) An AntiStructure is a structure that has at least one AntiRelation or one AntiAttribute or one AntiLaw.
As a particular case, in the …
Indeterminacy In Neutrosophic Theories And Their Applications, Florentin Smarandache
Indeterminacy In Neutrosophic Theories And Their Applications, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
Indeterminacy makes the main distinction between fuzzy / intuitionistic fuzzy (and other extensions of fuzzy) set / logic vs. neutrosophic set / logic, and between classical probability and neutrosophic probability. Also, between classical statistics vs. neutrosophic and plithogenic statistics, between classical algebraic structures vs. neutrosophic algebrais structures, between crisp numbers vs. neutrosophic numbers. We present a broad definition of indeterminacy, various types of indeterminacies, and many practical applications.