PPT-Number Theory:

Farey Sequences Kaela MacNeil Mentor Sean Ballentine Definition The n th Farey sequence is the sequence of fractions between 0 and 1 which has denominators less than or equal to n. Queuing Theory represents the body of knowledge dealing with waiting lines.. Most queuing problems focus on determining the level of service that a company should provide.. Queuing Theory. Queuing Systems Configurations. Giles Story. Philipp Schwartenbeck. Methods for . dummies 2012/13. With thanks to Guillaume . Flandin. . . Outline. Where are we up to?. Part 1. Hypothesis Testing. Multiple Comparisons . vs. Topological Inference. (aka cs302: Discrete Mathematics II). Spring 2010. University of Virginia. David Evans. Computation is what Computers do, who needs theory?. flickr. : . gastev. [cc]. Charles Babbage’s . Difference Engine. Violating Measurement Independence without fine-tuning, conspiracy, or constraints on free will. Tim Palmer. Clarendon Laboratory. University of Oxford. T. o explain the experimental violation of Bell Inequalities, a putative theory of quantum physics must violate one (or more) of:. Formalisation. Quick Recap. In the last session we looked at several familiar number systems: the naturals, integers and . rationals. .. We also briefly introduced the idea of the real numbers, which are designed to represent the points on a continuous line.. Giles Story. Philipp Schwartenbeck. Methods for . dummies 2012/13. With thanks to Guillaume . Flandin. . . Outline. Where are we up to?. Part 1. Hypothesis Testing. Multiple Comparisons . vs. Topological Inference. (aka cs302: Discrete Mathematics II). Spring 2010. University of Virginia. David Evans. Computation is what Computers do, who needs theory?. flickr. : . gastev. [cc]. Charles Babbage’s . Difference Engine. Eric Ottman. Syracuse University. April 8, 2017. A Tiny Bit of History. In 1874, Georg Cantor published his first article on set theory, including, among other things, his famous “diagonal argument” proving . (aka cs302: Discrete Mathematics II). Spring 2010. University of Virginia. David Evans. Computation is what Computers do, who needs theory?. flickr. : . gastev. [cc]. Charles Babbage’s . Difference Engine. “The Math”. What kind of math is this?. This does not sound like the things we learned in school…. The professor studied a branch of mathematics called…. Number Theory. Number theory is the branch of pure mathematics concerned with the properties of numbers in general, and integers in particular. . ’ Curriculum Vitae Born on August 29, 1964 in Minsk, of Frenchand Israeli citizenship. Education HabilitationUniversity of Basel, 2000 Ph. D.BenGurion University of the Negev, BeerSheva, Israel, This is just an attempt to associate sums or differences of prime numbers with points lying on an ellipse or hyperbola.
Certain pairs of prime numbers can be represented as radius-distances from the focuses to points lying either on the ellipse or on the hyperbola.
The ellipse equation can be written in the following form: |p(k)| + |p(t)| = 2n.
The hyperbola equation can be written in the following form: ||p(k)| - |p(t)|| = 2n.
Here p(k) and p(t) are prime numbers (p(1) = 2, p(2) = 3, p(3) = 5, p(4) = 7,...),
k and t are indices of prime numbers,
2n is a given even number,
k, t, n ∈ N.
If we construct ellipses and hyperbolas based on the above, we get the following:
1) there are only 5 non-intersecting curves (for 2n=4; 2n=6; 2n=8; 2n=10; 2n=16). The remaining ellipses have intersection points.
2) there is only 1 non-intersecting hyperbola (for 2n=2) and 1 non-intersecting vertical line. The remaining hyperbolas have intersection points.
Will there be any new thoughts, ideas about this? Department of Chemistry. N.S.P.S. Government PG College. Magarah. , . Mirzapur. . (U.P.) INDIA. e.mail. : . prem77yadav@gmail.com. E- Content- B.Sc. II Inorganic chemistry. Topic. BASIC . CONCEPT OF COORDINATION COMPOUND. Factoring: Given a number N , express it as a product of its prime factors. .. . Primality. : Given a number N, determine whether it is a prime. . Factoring is hard. Despite centuries of efforts the fastest methods for factoring a number N take time exponential in number of bits of N..