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New posts in alternative-proof
How did I solve this (triply logarithmic) equation?
real-analysis
calculus
polynomials
logarithms
alternative-proof
Elegant proof that maximum of sums is, at most, sum of maximums
elementary-number-theory
inequality
alternative-proof
Christmas Cryptarithm: "HERES+MERRY+XMAS=READER"
algebra-precalculus
puzzle
alternative-proof
decimal-expansion
cryptarithm
Prove that any positive number has an $n$th root
real-analysis
radicals
alternative-proof
supremum-and-infimum
Another point of view that $\mathbb{Z}/m\mathbb{Z} \times\mathbb{Z}/n\mathbb{Z}$ is cyclic.
group-theory
finite-groups
alternative-proof
Proof of the Reverse Triangle Inequality
real-analysis
proof-verification
metric-spaces
proof-writing
alternative-proof
$A = \sum_{n=0}^\infty a_n$ and $b_n \to B$ implies $\sum_{k=0}^n a_k b_{n-k} \to AB$
sequences-and-series
reference-request
alternative-proof
cauchy-product
The "Crucial lemma" in Fermat n=3 proof [duplicate]
number-theory
elementary-number-theory
diophantine-equations
alternative-proof
Very indeterminate form: $\lim_{x \to \infty} \left(\sqrt{x^2+2x+3} -\sqrt{x^2+3}\right)^x \longrightarrow (\infty-\infty)^{\infty}$
calculus
limits
proof-verification
alternative-proof
limits-without-lhopital
Insightful proofs for Sherman-Morrison Formula and Matrix Determinant Lemma
matrices
alternative-proof
If $x+y+z=xyz$, prove $\frac{2x}{1-x^2}+\frac{2y}{1-y^2}+\frac{2z}{1-z^2}=\frac{2x}{1-x^2}\times\frac{2y}{1-y^2}\times\frac{2z}{1-z^2}$ [duplicate]
algebra-precalculus
trigonometry
summation
problem-solving
alternative-proof
Proving that a matrix is invertible without using determinants
linear-algebra
proof-verification
alternative-proof
Is it possible to shorten the solution for this 2014 RMO question?
algebra-precalculus
proof-verification
contest-math
alternative-proof
Charming approximation of $\pi$: $2\left(\frac{1}{2}\right)^{\phi/2}+2< \pi$, where $\phi$ is the golden ratio
inequality
approximation
alternative-proof
pi
golden-ratio
Prove that a continuous function on a closed interval attains a maximum
calculus
real-analysis
alternative-proof
Prove: $\lim_{n\to\infty}{\sum_{m=0}^{n}{\sum_{k=0}^{n-m}{\frac{2^{n-m-k}}{n-m+1}\,\frac{{{2k}\choose{k}}{{2m}\choose{m}}}{{{2n}\choose{n}}}}}}=\pi$
limits
proof-verification
summation
binomial-coefficients
alternative-proof
A simply-connected closed surface is a sphere
algebraic-topology
surfaces
geometric-topology
alternative-proof
low-dimensional-topology
Writing a group element as $ghg^{-1} h^{-1}$ and as $g^2 h^2$
abstract-algebra
group-theory
finite-groups
representation-theory
alternative-proof
An interesting identity involving Jacobi $\theta_4$ and $\zeta(2)$
sequences-and-series
fourier-series
special-functions
alternative-proof
theta-functions
Prove that if the identity is written as the product of $r$ transpositions, then $r$ is an even number
permutations
alternative-proof
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