PPT-Number Theory CSE 311 Spring

2022 Lecture 11 httpsabstrusegoosecom353 Proof By Cases Let Prime Odd PowerOfTwo Where PowerOfTwo Integer Prove We need two different arguments one for 2 and one for all the other primes. Activities have centered on the Berkeley Davis Irvine Los Angeles Riverside and Santa Barbara campuses University of California Transportation Center Berkeley CA 947201782 Phone 5106425624 Fax 5106435456 wwwuctcnet Copyright 2004 The Regents of the (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. Leslie . Ries. , Univ. of MD. Karen . Oberhauser. , Univ. of MN. Elise . Zipkin. , USGS (. Patuxent. ). Doug . Taron. , IL BMS. Eduardo . Rendon. , WWF-Mexico. Monarchs have a complex migratory cycle that makes tracking population dynamics challenging. 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.. (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. . Leslie . Ries. , Univ. of MD. Karen . Oberhauser. , Univ. of MN. Elise . Zipkin. , USGS (. Patuxent. ). Doug . Taron. , IL BMS. Eduardo . Rendon. , WWF-Mexico. Monarchs have a complex migratory cycle that makes tracking population dynamics challenging. Leslie . Ries. University of Maryland, Biology. National Socio-environmental Synthesis Center. Focus on the monarch as a model for understanding climate and ecological models. Stage 1: . Overwintering. Connecting eastern monarch population dynamics across their migratory cycle Leslie Ries , Univ. of MD Karen Oberhauser , Univ. of MN Elise Zipkin , USGS ( Patuxent ) Doug Taron , IL BMS Eduardo Rendon Volume Spring 4/10/15 500 PM 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.