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Prime Algorithms
Prime Algorithms
Primality Tests and Factoring Algorithms
Nadya
Homework Template
Homework Template
A homework template. Modified from Igor Shevtsov's template.
Karla Hernandez
Series Representation of Power Function
Series Representation of Power Function
In this paper, we derive and prove, by means of Binomial theorem and Faulhaber's formula, the following identity between $m$-order polynomials in \(T\) \(\sum_{k=1}^{\ell}\sum_{j=0}^m A_{m,j}k^j(T-k)^j=\sum_{k=0}^{m}(-1)^{m-k}U_m(\ell,k)\cdot T^k=T^{2m+1}, \ \ell=T\in\mathbb{N}.\)
Kolosov Petro
Cour 1 ere AS
Cour 1 ere AS
Cour 1 ere AS
khaled
Math 241 Homework 1
Math 241 Homework 1
Overlead Homework
Sayeed
Coursework template CO343
Coursework template CO343
Template for LaTeX beginners, designed with students taking the Imperial College London CO343: Operations Research course in mind.
Simon
Typed Homework Template for MAT434
Typed Homework Template for MAT434
This is a template for students enrolled in MAT434 at DePaul University.
Bridget Tenner
Is  e + $\pi$ irrational?
Is e + $\pi$ irrational?
In mathematics, a rational number is any number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number. The set of all rational numbers, often referred to as ”the rationals”, is usually denoted by a boldface Q (or blackboard bold , Unicode ); it was thus denoted in 1895 by Giuseppe Peano after quoziente, Italian for ”quotient”. The decimal expansion of a rational number always either terminates after a finite number of digits or begins to repeat the same finite sequence of digits over and over. Moreover, any repeating or terminating decimal represents a rational number. These statements hold true not just for base 10, but also for any other integer base (e.g. binary, hexadecimal). A real number that is not rational is called irrational. Irrational numbers include √2, , e, and . The decimal expansion of an irrational number continues without repeating. Since the set of rational numbers is countable, and the set of real numbers is uncountable, almost allreal numbers are irrational.
jackson
The Hopf Fibration: Homotopy Groups of Spheres
The Hopf Fibration: Homotopy Groups of Spheres
Created for Stanford Mathematics Camp 2016. A brief introduction to the Hopf Fibration for introductory topology students.
Trey Connelly

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