850 research outputs found
A recurrent formula inspired by Rowland's formula and based on Smarandache function which might be a criterion for primality
No full textStudying the two well known recurrent relations with the exceptional property that they generate only values which are equal to 1 or are primes, id est the formula which belongs to Eric Rowland and the one that belongs to Benoit Cloitre, I managed to discover a formula based on Smarandache function, from the same family of recurrent relations, which, instead to give a prime value for any input, seems to give the same value, 2, if and only if the value of the input is a prime. I name this relation the Coman-Smarandache criterion for primality and the exceptions from this rule, if they exist, Coman-Smarandache pseudoprimes
Five conjectures on Sophie Germain primes and Smarandache function and the notion of Smarandache-Germain primes
No full textIn this paper I define a new type of pairs of primes, id est the Smarandache-Germain pairs of primes, notion related to Sophie Germain primes and also to Smarandache function, and I conjecture that for all pairs of Sophie Germain primes but a definable set of them there exist corespondent pairs of Smarandache-Germain primes. I also make a conjecture that attributes to the set of Sophie Germain primes but a definable subset of them a corespondent set of smaller primes, id est Coman-Germain primes
FORMULAS AND POLYNOMIALS WHICH GENERATE PRIMES AND FERMAT PSEUDOPRIMES (COLLECTED PAPERS)
No full textThis book brings together fifty-two papers regarding primes and Fermat pseudoprimes, submitted by the author to the scientific database Research Gate. Part One of this book, “Sequences of primes and conjectures on them”, contains papers on sequences of primes, squares of primes, semiprimes, pairs, triplets and quadruplets of primes and conjectures on them. This part also contains papers on possible methods to obtain large primes, some of them based on concatenation, some of them on other arithmetical operations. It is also introduced a new notion, “Smarandache-Coman sequences of primes”, defined as “all sequences of primes obtained from the Smarandache sequences using any arithmetical operation”. Part Two of this book, “Sequences of Fermat pseudoprimes and conjecture on them”, contains sequences of Poulet and Carmichael numbers. Among these papers there is a list of thirty-six polynomials and formulas that generate sequences of Fermat pseudoprimes. Part Three of this book, “Prime producing quadratic polynomials”, contains three papers which list few already known such polynomials, that generate more than 20, 30 or even 40 primes in a row, and few such polynomials discoverd by the author himself (in a review of records in the field of prime generating polynomials, written by Dress and Landreau, two mathematicians well known for their contributions in this field, the author is mentioned with 18 prime producing quadratic polynomials). One of these three papers proposes 17 generic formulas that may generate prime producing quadratic polynomials
Marius von Mayenburg and Roland Schimmelpfennig
No full textRoland Schimmelpfennig and Marius von Mayenburg represent a new generation of playwrights to emerge in the German-speaking countries in the late 1990s; other prominent protagonists include Falk Richter, Lukas Bärfuss and Kathrin Röggla, as well as Dea Loher and Sibylle Berg. In this chapter, the author clearly shares some of their approaches, as both revisit and reinvent key conventional dramatic mechanisms, yet from a postdramatic horizon. Fireface, mapped out key themes as well as the (European middle-class) universe that keeps appearing in Mayenburg’s work in a variety of permutations. In Der Hässliche, premiered at Schaubühne Berlin in January 2007, Marius von Mayenburg plays a scathing game with postmodern ideas of the ‘performativity’ of subjectivity and contingency of identity. These academic ideas, in the context of neoliberal capitalism, contribute to an all-encompassing commodification of individuality. In fact, all of Marius von Mayenburg’s plays transcend the hyper-realities of his scenarios into grotesque exposures of absurdities of middle-class life under global capitalism
Sequences of Primes Obtained by the Method of Concatenation (Collected Papers)
No full textThe purpose of this book is to show that the method of concatenation can be a powerful tool in number theory and, in particular, in obtaining possible infinite sequences of primes. Part One of this book, “Primes in Smarandache concatenated sequences and Smarandache-Coman sequences of primes” , contains 12 papers on various sequences of primes that are distinguished among the terms of the well known Smarandache concatenated sequences. The sequences presented in this part are related to concatenation in three different ways: the sequence is obtained by the method of concatenation but the operation applied on its terms is some other arithmetical operation; the sequence is not obtained by concatenation but the operation applied on its terms is concatenation or both the sequence and the operation applied on its terms (in order to find sequences of primes) are using the method of concatenation. Part Two of this book, “Sequences of primes obtained by the method of concatenation” brings together 51 articles which aim, using the mentioned method, to highlight sequences of numbers which are rich in primes or are liable to lead to large primes
Biblical connotations in Marius von Mayenburgʼs plays
No full textMarius von Mayenburgʼs plays provide a critique of contemporary society, which is replete with violence and conformity. The playwright refers to the so‑called ‘new realism,’ and also incorporates elements of the post‑dramatic theatre. Biblical motifs in contemporary literature, including German literature, have recently lost their popularity; however, they have not disappeared altogether. They continue to be a source of inspiration for artists across various domains. Marius von Mayenburg is no exception, as he fearlessly incorporates and reinterprets these motifs, harnessing their universal messages in his plays. This paper aims to trace biblical motifs and determine their function in three well‑known plays by the author: Parasiten, Märtyrer and Mars
THE MATH ENCYCLOPEDIA OF SMARANDACHE TYPE NOTIONS
No full textAbout the works of Florentin Smarandache have been written a lot of books (he
himself wrote dozens of books and articles regarding math, physics, literature, philosophy). Being a globally recognized personality in both mathematics (there are countless functions and concepts that bear his name), it is natural that the volume of writings about his research is huge
Effective planning for internal audit.
No full textThe purpose of this thesis is to find a way to effectively plan for internal audit. Conditions necessary for effective planning are formulated by using analysis of scientific literature. In second part author suggests a model for effective internal audit planning. In third part model is applied and analyzed using a case study
TO PUBLISH A DENIGRATING VOLUME DURING THE COMMUNIST REGIME: AFTER FIFTY YEARS, AUTHOR: MARIUS MIRCU
No full textInnovative ideas were seldom appreciated by the communist dictatorial regime, all the more so as they were a critique of the system. The idealism of the romantic period of communism, when some of those who suffered in previous eras joined the beliefs promoted by politicians, was radically transformed when the true intentions came to light. Isolated in the circle of the loved ones, one of the few places where he could express his true thoughts and feelings, Marius Mircu took refuge in writing, believing that irony and satire, the weapons of literature he mastered so well, would help him mask the true meaning of his words from the volume După cincizeci de ani [After Fifty Years]. The purpose of our study is to illustrate his efforts to publish this volume during the communist period, the reactions of the state authorities, and the actions taken against the author
Daniel 9 as part of an apocalyptic book?
No full textDaniel 9 relates how Daniel studies the Hebrew Holy Scriptures and finds the prophecy of Jeremiah that Jerusalem will lie desolate for seventy years. He reacts by devoting himself to prayer and fasting in order to remind God of this promise of restoring his people. The better part of the chapter is dedicated to the contents of his prayer. During the prayer, the man, Gabriel, appears with the intent to give Daniel an understanding of the meaning of the seventy years, which is the measure of the punishment of Israel�s transgression and sin and which will end with eternal righteousness, when the Holy of Holies will be anointed. The Book of Daniel consists of two sections: the tales of the first six chapters and the visions of the last six chapters. This article asked the question: what role does Daniel 9 play as a part of the apocalyptic section of the book? Is Daniel�s prayer and Gabriel�s revelation apocalyptically conditioned? Why did the author or compiler include it in the book and, especially, in the second, apocalyptic section of the book? The conclusion of this article was that Daniel 9 was placed intentionally by the compiler in the latter half of the book because of the revelation about the seventy weeks, which is in line with the last three chapters� indication of the end times and Israel�s elevation to become the ruler of the earth. Several arguments were formulated to support this conclusion.</span
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