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Identity concerning complete elliptic integrals
calculus
alternative-proof
elliptic-integrals
Theorem 15.2 of Munkres Topology
general-topology
proof-writing
solution-verification
alternative-proof
Solving SAT by converting to disjunctive normal form
algorithms
propositional-calculus
alternative-proof
np-complete
satisfiability
Exercise 5, Section 13 of Munkres’ Topology
alternative-proof
general-topology
proof-writing
solution-verification
Is there a much simpler proof for Euler factorial formula?
induction
factorial
alternative-proof
Prove $(x+r_1) \cdots (x+r_n) \geq (x+(r_1 \cdots r_n)^{1/n})^{n}$.
inequality
alternative-proof
products
Proof that $\frac{2}{3} < \log(2) < \frac{7}{10}$
inequality
logarithms
approximation
alternative-proof
pi
How to prove $\sum\limits_{n=1}^\infty\frac{\sin(n)}n=\frac{\pi-1}2$ using only real numbers.
real-analysis
sequences-and-series
alternative-proof
pi
Easy proof, that $\rm e\notin \mathbb Q$
alternative-proof
Show that $\sum\limits_{n\ge1}\frac1{n^2}=\sum\limits_{n\ge1}\frac3{n^2\binom{2n}n}$ without actually evaluating both series
sequences-and-series
alternative-proof
Hahn-Banach theorem: 2 versions
functional-analysis
topological-vector-spaces
alternative-proof
Integral $\int_0^\frac{\pi}{2} x^2\sqrt{\tan x}\,\mathrm dx$
integration
definite-integrals
closed-form
alternative-proof
Axiom of Choice and Right Inverse
functions
axiom-of-choice
alternative-proof
Theorem 16.3 of Munkres Topology
general-topology
proof-writing
solution-verification
alternative-proof
Is there a geometrical method to prove $x<\frac{\sin x +\tan x}{2}$?
calculus
geometry
trigonometry
proof-writing
alternative-proof
Proof that $e^{-x} \ge 1-x$
convergence-divergence
alternative-proof
Verify matrix identity $A^tD-C^tB=I$ on certain hypotheses
linear-algebra
alternative-proof
How to find $\operatorname{P.V.}\int_0^1 \frac{1}{x (1-x)}\arctan \left(\frac{8 x^2-4 x^3+14 x-8}{2 x^4-3 x^3-11 x^2+16 x+16}\right) \textrm{d}x$?
real-analysis
calculus
integration
alternative-proof
cauchy-principal-value
"Novel" proofs of "old" calculus theorems
calculus
real-analysis
reference-request
big-list
alternative-proof
$\log_2 13$ is irrational
elementary-number-theory
logarithms
alternative-proof
rationality-testing
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