În luna iulie 2016 am participat la două conferințe internaționale (Conferința Internațională de Fuziune, Heidelberg, Germania; Congresul Mondial de Inteligență Computațională, Vancouver, Canada), prezentând șase lucrări: aplicații ale Teoriei Dezert-Smarandache și, respectiv, aplicații ale mulțimii și logicii neutrosofice. Se discută acum la Conferințele Internaționale despre un Internet of Things (Internet al Lucrurilor), ca o generalizare a Internetului de Computere, adică nu doar ordinatoarele conectate între ele, ci și alte obiecte: vehiculele care transmit semnale electr(on)ice unele către altele, și orice obiecte (frigidere comunicând între ele, camere video, telefoane etc.). Încă în stadiu incipient, acest Internet al Lucrurilor se dezvoltă rapid. Este greu de ținut pasul cu explozia științifică. Te simți mic, depășit de o realitate (…fantastică!), neputincios, gata să abandonezi. Trebuiesc făcute eforturi disperate pentru a te informa și, apoi, a mări sau a contribui, măcar câte puțin, la minunile lumii. Cum va arăta societatea peste un mileniu? Probabil, nici nu ne putem imagina! Ni s-ar părea ireal… să ne conducă… obiectele……Să schimbi lumea numai cu puterea gândului… Science Fiction transformat înRealitate! „Viitorul începe astăzi”, se spune în reclamele tehnice. Cred că am putea extinde butada la: „Viitorul a început în trecut”…
If an analytical method is not available, an idea would be to recall the empirical search for solutions. We establish a domain of searching for the solutions and then we check all possible situations, and of course we retain among them only those solutions that verify our equation.
In other words, we say that the equation does not have solutions in the search domain, or the equation has n solutions in this domain. This mode of solving is called partial resolution. Partially solving a Diophantine equation may be a good start for a complete solving of the problem.
The authors have identified 62 Diophantine equations that impose such approach and they partially solved them. For an efficient resolution it was necessarily that they have constructed many useful ”tools” for partially solving the Diophantine equations into a reasonable time.
The computer programs as tools were written in Mathcad, because this is a good mathematical software where many mathematical functions are implemented. Transposing the programs into another computer language is facile, and such algorithms can be turned to account on other calculation systems with various processors.
Our thesis is that communication has several sources. Some may be considered as main sources or constitutive sources from which communication springs, and others may be considered as secondary or complementary sources of communication. We can thus acknowledge eight main sources of communication: rhetoric, persuasion, psychology, sociology, anthropology, semiotics, linguistics and political science.
Rhetoric is the first and oldest discipline which studied certain communication phenomena; rhetoric has outlined a proto-object of communication. Sociology is the most powerful source of
communication methodology: sociology has supplied most of the theories and methods that have led to the discipline of communication growing autonomously. We assert that secondary sources of communication are: philosophy, ethics, pragmatics, mathematics, cybernetics and ecology.
[Florentin Smarandache & Ştefan Vlăduţescu]
The book has 15 chapters written by the following authors and co-authors from USA, England, China, Poland, Serbia, Bulgaria, Slovakia, and Romania: Florentin Smarandache, Ştefan Vlăduţescu, Jim O’Brien, Svetislav Paunovic, Mariana Man, Zhaoxun Song, Dandan Shan, Maria Nowicka-Skowron, Sorin Mihai Radu, Janusz Grabara, Ioan Cosmescu, Adrian Nicolescu, Krasimira Dimitrova, Alina Țenescu, Sebastian Kot, Beata Ślusarczyk, Maria Măcriș, Iwona Grabara, Piotr Pachura, Mircea Bunaciu, Jozef Novak-Marcincin, Mircea Duică, Odette Arhip, Vlad Roșca, and Vladimir-Aurelian Enăchescu.
This book contains 21 papers of plane geometry.
It deals with various topics, such as: quasi-isogonal cevians,
nedians, polar of a point with respect to a circle, anti-bisector,
aalsonti-symmedian, anti-height and their isogonal.
A nedian is a line segment that has its origin in a triangle’s vertex
and divides the opposite side in n equal segments.
The papers also study distances between remarkable points in the
2D-geometry, the circumscribed octagon and the inscribable octagon,
the circles adjointly ex-inscribed associated to a triangle, and several
classical results such as: Carnot circles, Euler’s line, Desargues
theorem, Sondat’s theorem, Dergiades theorem, Stevanovic’s
theorem, Pantazi’s theorem, and Newton’s theorem.
Special attention is given in this book to orthological triangles, biorthological
triangles, ortho-homological triangles, and trihomological
Each paper is independent of the others. Yet, papers on the same or similar
topics are listed together one after the other.
The book is intended for College and University students and instructors that
prepare for mathematical competitions such as National and International
Mathematical Olympiads, or for the AMATYC (American Mathematical
Association for Two Year Colleges) student competition, Putnam competition,
Gheorghe Ţiţeica Romanian competition, and so on.
The book is also useful for geometrical researchers.