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Modular arithmetic for dummies
Modular arithmetic for dummies
Theory and olympiad problems involving modular arithmetic
Jasiek Kociniak
Building new topological spaces through canonical maps
Building new topological spaces through canonical maps
Suppose we have some topological spaces lying around. How can we build new topological spaces using the old ones? There are four fundamental constructions: subspaces, disjoint unions, products, and quotients. Defining the topologies on each can be done in two ways. One way is through ad hoc definitions. These definitions make some intuitive sense, but look very different from one construction to the next. The other way uses canonical maps. Canonical maps provide a single framework in which all constructions obey the same unifying principle.
Sean Raleigh
Riemann Rearrangement Thoerem and Proof
Riemann Rearrangement Thoerem and Proof
A simple proof of Riemann's Rearrangement Theorem. Also called Riemann's series theorem.
David Klapheck
Cp1 :2005
Cp1 :2005
Primeiras questões respondidas do banco de Cálculo 1 da UFAL.
Antônio Marcos Barbosa
Bayes' Theorem in Baseball
Bayes' Theorem in Baseball
A basic understanding on Bayes' theorem and how to apply it to baseball statistics.
Christopher Amici
Homework 2  for Statistical Methods 3025Q
Homework 2 for Statistical Methods 3025Q
Statistical Methods 3025Q
Sydney Hyde
What is the maximum altitude reached by a Superpressure balloon?Can we control the balloons altitude with an air pump?
What is the maximum altitude reached by a Superpressure balloon?Can we control the balloons altitude with an air pump?
A detailed report of findings on the altitudes which can be reached by super pressure balloons and how various factors and considerations affect this. Superpressure balloons are deployed and researched by various organisations including NASA, to solve technical limitations such as cell tower coverage as well as advancing fields of research. Balloons are used in planetary exploration, and weather prediction to teaching primary school physics. The versatile yet simple aerostat has been a valuable tool in many areas of engineering and their altitude ceiling is of great scientific interest. To solve the problem without the ability to physically reproduce the scenario, required mathematical models to be created as a means of simulating the effects of real world physics. A degree great enough to output an accurate and hence useful result without becoming too complex to be computable is the fine balance attempted to be created by this paper.
Charles Poppy
The Quadratic Formula
The Quadratic Formula
This paper will state and prove the quadratic formula.
Tyler Keane
EECS16A Optional Review Session II (Fall 2015)
EECS16A Optional Review Session II (Fall 2015)
Guerilla Section 2 Worksheet
EE16A Staff

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