## Most downloaded essays in mathematics

# Random Variables - Essay - Mathematics

In many situations we are not concerned directly with the outcome of an experiment, but
instead with some function of the outcome.

# Decision Theory - Essay - Mathematics

Enough probability; we have what we need now to start doing statistics.
“Decision theory” is about how to behave optimally under uncertainty,
and as such provides a nice backbone for the various statistical procedures
we’ll be looking at.

# Markov Chains Renewal Process and Renewal Equation - Essay - Mathematics

Syed's computer has three critical parts, each of which is needed for the computer to work.
The computer runs continuously as long as the three required parts are working. The three
parts have mutually independent exponential lifetimes before they...

# Central Limit Theorem - Essay - Mathematics

Paninski, Intro. Math. Stats., October 5, 2005 35
probability, ZN !P Z, if
P(|ZN − Z| > !) ! 0
as N ! #. (The weak LLN is called “weak” because it asserts convergence
in probability, which turns out to be a somewhat “weak” sense of stochastic
conv...

# Fundamental Theorem of Curves and Non-Unit Speed Curves - Essay - Mathematics - Prof. Adrian Down

1.1 Basis orientation
Recall that the triple product of three vectors is defined as,
[A,B,C] = hA × B,Ci
Definition (Handedness). If { A,B,C } is a basis of R3, { A,B,C } is called
right handed (left-handed) if [A,B,C] > 0 ( < 0).

## Latest essays uploaded in mathematics

# 机器学习中的谱聚类方法研究

一个关于谱图在聚类学习中的文章

# Function of finite Order - Essay - Mathematics

This chapter is another review of standard material in complex analysis. See
for instance Chapter 11 of [Davenport 1967], keeping in mind that Davenport
uses \integral function" for what we call an \entire function

# Field and Galois Theory - Essay - Mathematics

Let f .X/ 2 F X be a monic polynomial of degree m, and let .f / be the ideal generated
by f . Consider the quotient ring F X=.f .X//, and write x for the image of X in
F X=.f .X//, i.e., x is the coset X C.f .X//

# Euler Project - Essay - Mathematics

Euler [Eul] achieved the rst major advance beyond Euclid's proof by combining
his method of generating functions with another highlight of ancient Greek
number theory, unique factorization into primes

# Evaluation of Definite Integral - Essay - Mathematics

We evaluate the following de¯nite integral by using the theory of residues
and a branch of a holomorphic function.