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Examples of analysis results using probability theory
probability
analysis
probability-theory
soft-question
big-list
Proving the identity $\sum_{n=-\infty}^\infty e^{-\pi n^2x}=x^{-1/2}\sum_{n=-\infty}^\infty e^{-\pi n^2/x}.$
complex-analysis
summation
special-functions
big-list
Fields that require both CS and pure math
soft-question
big-list
Known proofs of Wirtinger's Inequality?
inequality
fourier-analysis
big-list
Request for crazy integrals
integration
definite-integrals
soft-question
big-list
Results that were widely believed to be false but were later shown to be true
soft-question
big-list
math-history
Applications of algebraic topology
big-list
applications
algebraic-topology
$\int_{0}^{\infty} \frac{1}{1 + x^r}\:dx = \frac{1}{r}\Gamma\left( \frac{r - 1}{r}\right)\Gamma\left( \frac{1}{r}\right)$ [duplicate]
real-analysis
integration
definite-integrals
big-list
problem books in functional analysis
functional-analysis
reference-request
big-list
book-recommendation
Unprovability results in ZFC
logic
set-theory
big-list
Guidelines for learning about Ramanujan's work?
soft-question
big-list
education
Proving a theorem using its converse
proof-writing
soft-question
examples-counterexamples
big-list
Book series like AMS' Student Mathematical Library?
reference-request
soft-question
self-learning
big-list
motivation
Favourite applications of the Nakayama Lemma
algebraic-geometry
commutative-algebra
soft-question
big-list
Problems from the Kourovka Notebook that undergraduate students can fully appreciate
abstract-algebra
group-theory
soft-question
big-list
What mathematical questions or areas have philosophical implications outside of mathematics?
soft-question
big-list
philosophy
Real-world uses of Algebraic Structures
abstract-algebra
soft-question
big-list
applications
Properties of the number 50
recreational-mathematics
big-list
Mathematics named after places [closed]
soft-question
math-history
big-list
Concepts in mathematics which are referred to as 'generalizations' [closed]
soft-question
big-list
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