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Discrete Math | Week of April 5 - 7

by: Aaron Maynard

Discrete Math | Week of April 5 - 7 CS 2305

Marketplace > ComputerScienence > CS 2305 > Discrete Math Week of April 5 7
Aaron Maynard
GPA 3.5

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About this Document

This was a small week... the topics covered are: Sieve of Eratosthenes Prime Number Theorem
Discrete Math for Computing I
Timothy Farage
Class Notes
Discrete math, computer science 1, Math, stem, ECS
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This 2 page Class Notes was uploaded by Aaron Maynard on Tuesday April 12, 2016. The Class Notes belongs to CS 2305 at a university taught by Timothy Farage in Spring 2016. Since its upload, it has received 57 views.

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Date Created: 04/12/16
DiscreteMath SPRINGSEMESTER2016 INSTRUCTOR:DR.TIMOTHYFARAGE ATM150030@UTDALLAS.EDU 05-07 April 2016 Tech Update: With the continued advances in technology and robots, will it become harder to get jobs? Android is dealing with a demand for the creation for sex-bots. All drones that are being used in the military use a human element; when will the day come when that is no longer necessary? There is a boZero Marginal Cost So, that says the pricing of various expenses such as housing, transportation etc, will become cheaper as time goes on, that the cost of basic necessities will be approaching zero. www.timfarage.coTim’s blog; there is a talk about the natural resourse tax (dividend) Farage also says to watch Batman V Superman within a week. Sieve of Eratosthenes In mathematics, the sieve of Eratosthenes (Ancienσκινονk: κό Ἐρατοσθέ νους , kóskinon Eratosthénous), one of a number of prime number sieves, is a simple, ancient algorithm for finding all prime numbers up to any given limit. 2,3,4,,6,7,8,9,10,1,12,13,14,15,1617,18,19,20… Circle the first number, then cross off the multiples; O(N^2) Prime Number Theorem 1 Deals with the distribution of prime numbers. The fraction of numbers less than the number N that are prime is about: 1/ln(N) N 1/ln(N) 20 33% 100 22% 1,000,000 7% Pick a random number between 1 and 1,000,000 and there is a 7% chance that it’s prime. About 1% of 100-digit numbers are prime (that end in 1, 3, 7, 9). 1% of 10^100 = 10^98 primes with 100 digits. There are about 10^80 particles in the entire universe. You couldn’t inscribe all the prime numbers with 100 digits if you used all the matter in the universe. So the odds of someone guessing such prime is miniscule. 2


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