An introduction to Modular arithmetic and Public Key cryptography.
... Given two numbers a,b, the extended euclidean algorithm finds their gcd g and two numbers s and t such that as + bt = g. In particular, if a and b have no common factors (aside from 1) (i.e. they are “relatively prime”), we can find two numbers s,t such that as + bt = 1 For modular division, if p is ...
... Given two numbers a,b, the extended euclidean algorithm finds their gcd g and two numbers s and t such that as + bt = g. In particular, if a and b have no common factors (aside from 1) (i.e. they are “relatively prime”), we can find two numbers s,t such that as + bt = 1 For modular division, if p is ...
REVISED 3/30/14 Ms C. Draper lesson elements for Week of ___3
... 8.NS.1 Know that numbers are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a ...
... 8.NS.1 Know that numbers are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a ...
5.2 The Master Theorem
... in half each time, and the n term said that after we completed our recursive work, we had n additional units of work to do for a problem of size n. There is no reason that the amount of additional work required by each subproblem needs to be the size of the subproblem. In many applications it will b ...
... in half each time, and the n term said that after we completed our recursive work, we had n additional units of work to do for a problem of size n. There is no reason that the amount of additional work required by each subproblem needs to be the size of the subproblem. In many applications it will b ...
solutions - Johns Hopkins University
... a group homomorphism? If yes, show in details your proof; if not, explain why is so and define a suitable group homomorphism ψ between these 2 groups. How many different group homomorphisms do there exist connecting these two groups? Define them explicitly. ...
... a group homomorphism? If yes, show in details your proof; if not, explain why is so and define a suitable group homomorphism ψ between these 2 groups. How many different group homomorphisms do there exist connecting these two groups? Define them explicitly. ...
![arXiv:1003.5939v1 [math.CO] 30 Mar 2010](http://s1.studyres.com/store/data/016290525_1-37241e0159a202e5bf035fd4e5a48270-300x300.png)
Student Activity DOC
... z a bi , the absolute value, or magnitude, is r | z | a 2 b 2 . The absolute value is the distance from the origin to the point representing z in the complex plane. The argument of the complex number z , arg( z ), is the angle (in radians) formed between the positive real axis and the posi ...
... z a bi , the absolute value, or magnitude, is r | z | a 2 b 2 . The absolute value is the distance from the origin to the point representing z in the complex plane. The argument of the complex number z , arg( z ), is the angle (in radians) formed between the positive real axis and the posi ...
Chapter 17 Proof by Contradiction
... another way, a lossless algorithm must convert input files to output files in a one-to-one-manner, so that two distinct input files are never compressed to the same output file. Claim 52 A lossless compression algorithm that makes some files smaller must make some (other) files larger. Proof: Suppos ...
... another way, a lossless algorithm must convert input files to output files in a one-to-one-manner, so that two distinct input files are never compressed to the same output file. Claim 52 A lossless compression algorithm that makes some files smaller must make some (other) files larger. Proof: Suppos ...
