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Top Questions
39
votes
Are most rational quintics unsolvable?
reference-request
polynomials
galois-theory
asked Nov 11, 2014 at 21:04
math.stackexchange.com
25
votes
What is the surface area of the 3-dimensional elliptope?
multivariable-calculus
definite-integrals
analytic-geometry
closed-form
spectrahedra
asked Jan 10, 2019 at 14:59
math.stackexchange.com
21
votes
Antisymmetry in integral $I(s)=-I(1/s)=\int_0^1 \frac{\ln\left[x^s+(1-x)^{s}\right]}x dx $
calculus
integration
definite-integrals
closed-form
symmetry
asked Dec 9, 2015 at 21:22
math.stackexchange.com
19
votes
What is the Riemann surface of $y=\sqrt{z+z^2+z^4+\cdots +z^{2^n}+\cdots}$?
complex-analysis
power-series
riemann-surfaces
analyticity
asked Aug 5, 2014 at 1:31
math.stackexchange.com
19
votes
Which power means are constructible?
geometry
geometric-construction
means
asked Aug 15, 2014 at 14:40
math.stackexchange.com
16
votes
Early history of the phase concept in the physical sciences
reference-request
material-science
thermodynamics
asked Oct 29, 2014 at 14:16
hsm.stackexchange.com
13
votes
Why is $(2n)!!\int_0^{\pi/4}[\cos^{2n}x-\sin^{2n}x]~dx$ always an integer?
calculus
definite-integrals
factorial
integer-sequences
asked Apr 17 at 6:42
math.stackexchange.com
12
votes
Why does the error in the coin-flipping estimate for $\pi$ scale like $1/N^{1/4}$?
probability
asymptotics
random-walk
pi
standard-error
asked Apr 13 at 19:15
math.stackexchange.com
12
votes
Does the functional equation $p(x^2)=p(x)p(x+1)$ have a combinatorial interpretation?
combinatorics
polynomials
generating-functions
alternative-proof
combinatorial-proofs
asked Mar 1, 2016 at 15:21
math.stackexchange.com
11
votes
Constructing a family of distinct curves with identical area and perimeter
analytic-geometry
examples-counterexamples
plane-curves
asked Jul 25, 2014 at 0:51
math.stackexchange.com
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Top Answers
60
Fun Geometric Series Puzzle
math.stackexchange.com
38
Why is $\sum_{n=-\infty}^{\infty}\exp(-(x+n)^2)$ "almost" constant?
math.stackexchange.com
33
Find a conformal map from semi-disc onto unit disc
math.stackexchange.com
26
Minimal value of $\sum_{1\leq i<j\leq 2014}a_ia_j$ where $a_i=\pm1$
math.stackexchange.com
24
A certain “harmonic” sum
math.stackexchange.com
23
How many lists of 100 numbers (1 to 10 only) add to 700?
math.stackexchange.com
21
How to find explicit formula for two recursions?
math.stackexchange.com
20
Why did the integral eat the pi?
math.stackexchange.com
12
Short proof for the determinant of a $4$ by $4$ matrix
math.stackexchange.com
12
Finding a lecture by David Gillman on “The best picture of Poincaré homology sphere”
math.stackexchange.com
11
A series with only rational terms for $\ln \ln 2$
math.stackexchange.com
11
Why is $(2n)!!\int_0^{\pi/4}[\cos^{2n}x-\sin^{2n}x]~dx$ always an integer?
math.stackexchange.com
11
Why does this infinite series equal one? $\sum_{k=1}^\infty \binom{2k}{k} \frac{1}{4^k(k+1)}=1$
math.stackexchange.com
11
The center of gravity of a triangle on a parabola lies on the axis of symmetry
math.stackexchange.com
11
Why is $h(x)=|x|$ not a polynomial?
math.stackexchange.com
10
Solving for matrices $A$ and $B$
math.stackexchange.com
10
Find Orthogonal Vectors in 4-Dimensions
math.stackexchange.com
10
If $(a, b,c)$ is a Pythagorean triple with $b, c$ consecutive integers then $c \mid a^b – 1$, proof/disproof?
math.stackexchange.com
10
Prove $_2F_1\left(\frac13,\frac13;\frac56;-27\right)\stackrel{\color{#808080}?}=\frac47$
math.stackexchange.com
10
How many distinct ways to climb stairs in 1 or 2 steps at a time? (Fibonacci puzzle)
math.stackexchange.com
9
Proof without words: $1+8\times\text{triangular number}$ is an odd perfect square
math.stackexchange.com
9
Kronecker Product Eigenvalue property
math.stackexchange.com
9
Solve the functional system of equations $\alpha(x+y)=\alpha(x)\alpha(y)-\beta(x)\beta(y)\;$ and $\;\beta(x+y)=\alpha(x)\beta(y)+\beta(x)\alpha(y)$
math.stackexchange.com
9
Ramanujan's letter ; $1 + (\frac{x}{1!})^5 + (\frac{x^2}{2!})^5+(\frac{x^3}{3!})^5+...=\frac{\sqrt 5}{4 \pi^2} \frac{\exp(5x)}{5x^2 - x + \theta(x)}$
math.stackexchange.com
9
What are some conceptualizations that work in mathematics but are not strictly true?
math.stackexchange.com
9
Difficult infinite integral involving a Gaussian, Bessel function and complex singularities
math.stackexchange.com
8
Wronskian relation of modified Bessel functions
math.stackexchange.com
8
Is the non-existence of a general quintic formula related to the impossibility of constructing the geometric median for five points?
math.stackexchange.com
8
How to solve a system of three nonlinear equation in a simple way
math.stackexchange.com
8
Derivation of D-dimensional Laplacian in spherical coordinates
math.stackexchange.com
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