PPT-Fermat’s Theorems

Raymond Flood Gresham Professor of Geometry Newtons Laws Tuesday 21 October 2014 Eulers Exponentials Tuesday 18 November 2014 Fouriers Series Tuesday 20 January 2015 Möbius. AS if for every trajectory we have as implies is the unique equilibrium point system is locally asymptotically stable LAS near or at if there is an R st 0 k as Basic Lyapunov theory 122 brPage 3br often we change coordinates so that 0 ie we use a Represented Theorems. Sara . Billey. University . of . Washington. Reproducibility in Computational and Experimental Math. ICERM. December 13, 2012. The Standard Inquiry. “Do you know anything about the following math problem?”. Dszquphsbqiz. . Day . 9. Announcements:. Homework 2 due now. Computer quiz Thursday on chapter 2. Questions?. Today: . Finish . congruences. Fermat’s little theorem. Euler’s theorem. Important . Presenter: . Hanh. Than. FLT video. http://www.youtube.com/watch?v=SVXB5zuZRcM. Pierre de Fermat. Pierre de Fermat. . (17 August 1601– 12 January 1665): . . a French lawyer and an amateur mathematician.. By: Pau . Thang. Theorem, and. Counterexample. Conjectures. an opinion or conclusion formed on the basis of incomplete information. Conjectures -. In other words, conjectures are . It is the use of . Randomized Primality Testing. Carmichael Numbers. Miller-Rabin test. MA/CSSE 473 Day 08. Student questions. Fermat's Little Theorem. Implications of Fermat’s Little Theorem. What we can show and what we can’t. Triangles. Isosceles Triangles. leg. leg. base. Vertex angle. Base angle. Base angle. 2 sides are congruent. 2 theorems. If 2 sides are congruent, then base angles are congruent. If 2 . base angles . . Theorems. m. example. Write a proof.. Given. : . Prove. : . . Statements Reason. . 1.. ___________________ _______________________. . 2.. ___________________ _______________________. . 3.. ___________________ _______________________. Algebra. Huntington’s Postulates. Truth Tables. Graphic Symbols. Boolean Algebra Theorems. 1. Boolean . Algebra. 2. Boolean . Algebra. A fire sprinkler system should spray water if high heat is sensed and the system is set to . -Polygon. : a closed plane figure with at least 3 sides that are segments that only intersect at their endpoints where no adjacent sides are collinear. -Regular Polygon. : . a polygon that is both equilateral and . Gresham Professor of Geometry. Newton’s . Laws. Tuesday . 21 October 2014 . Euler’s Exponentials. Tuesday . 18 November 2014 . Fourier’s Series. Tuesday 20 January 2015 . Möbius. . and his band . Gresham Professor of Geometry. Newton’s . Laws. Tuesday . 21 October 2014 . Euler’s Exponentials. Tuesday . 18 November 2014 . Fourier’s Series. Tuesday 20 January 2015 . Möbius. . and his band . Chapter 4 Sequences Section 4.2 Limit Theorems Suppose that ( s n ) and ( t n ) are convergent sequences with lim s n = s and lim t n = t . Then To simplify our work with convergent sequences, we prove several useful theorems in this section. The first theorem shows that algebraic operations are compatible with taking limits. ). www.drfrostmaths.com. . Last modified: . 31. st. August 2015. RECAP. : Parts of a Circle. Sector. (Minor). Segment. Diameter. Radius. Tangent. Chord. (Minor) Arc. Circumference. ?. ?. ?. ?. ?. !.