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New posts in alternative-proof
Easy proof for sum of squares $\approx n^3/3$
sequences-and-series
limits
alternative-proof
Lesser known derivations of well-known formulas and theorems
alternative-proof
Showing that the minimal polynomial of an $n \times n$ matrix has degree at most $n$ without using the Cayley-Hamilton Theorem
linear-algebra
modules
alternative-proof
minimal-polynomials
Alternate proof for $a^2+b^2+c^2\le 9R^2$
geometry
inequality
triangles
alternative-proof
geometric-inequalities
How to deduce open mapping theorem from closed graph theorem?
functional-analysis
banach-spaces
alternative-proof
Crux problem #33 with vector approach
geometry
vectors
euclidean-geometry
alternative-proof
$\operatorname{Aut}(S_4)$ is isomorphic to $S_4$
group-theory
alternative-proof
symmetric-groups
Proof that negative binomial distribution is a distribution function?
probability-theory
probability-distributions
alternative-proof
Visualization of surface area of a sphere
geometry
education
alternative-proof
questions about Rudin's summation by parts
alternative-proof
solution-verification
Group presentation of $A_5$ with two generators
abstract-algebra
group-theory
alternative-proof
symmetric-groups
group-presentation
Can $\lim_{h\to 0}\frac{b^h - 1}{h}$ be solved without circular reasoning?
calculus
limits
logarithms
exponential-function
alternative-proof
Proving that $\int_0^1 \frac{\ln(x)+\ln(\sqrt x+\sqrt {1+x})}{\sqrt {1-x^2}} dx=0$
calculus
integration
definite-integrals
alternative-proof
Prove a trigonometric identity: $\cos^2A+\cos^2B+\cos^2C+2\cos A\cos B\cos C=1$ when $A+B+C=\pi$
geometry
trigonometry
alternative-proof
substitution
If $q^k n^2$ is an odd perfect number with special prime $q$, then $n^2 - q^k$ is not a square.
number-theory
elementary-number-theory
alternative-proof
solution-verification
perfect-numbers
Proving a function $\frac{1}{2y}\int_{x-y}^{x+y} f(t) dt=f(x)$ is a linear polynomial
real-analysis
integration
proof-verification
alternative-proof
Geometry: Prove that two angles are not equal
geometry
alternative-proof
Is it possible to utilize the convergence of the sequence $z_{n+1}=a/(1+z_n)$ to prove that the sequence $x_{n+2} = \sqrt{x_{n+1} x_n}$ is convergent?
real-analysis
sequences-and-series
convergence-divergence
alternative-proof
Pólya and Szegő, Part I, Ch. 4, 174.
sequences-and-series
problem-solving
alternative-proof
If the Greeks had been four dimensional, would they have been able to derive the pi squared coefficient for the hypersphere volume without calculus?
geometry
euclidean-geometry
volume
alternative-proof
spheres
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