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Interesting 10 Bountied Hot Week Month
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Complex Hessian comparison for Kähler manifolds with bisectional curvature bounded from below

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Function continuous nowhere whose domain and range are $[0,1]$

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Arthur
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13 votes
2 answers
392 views

Showing that $\frac{\tan(x^\circ)}{\tan(y^\circ)}= \frac{\tan(9^\circ)}{\tan(57^\circ)}$ has exactly six solutions for integers $x,y\in(0,90)$

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Limerence Abyss
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1 answer
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What is an example for a GCD domain that is neither a UFD (like $\Bbb Z[X]$) nor Bézout (like holomorphic functions on all of $\Bbb C$)?

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In how many ways can the letters of the word ARRANGEMENTS be arranged? A)Probability arrangement begin with EE. B)Probability consonants are together.

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true blue anil
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Rational points and sections on a family of genus-3 hyperelliptic curves

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Anonymous-math-guest
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3 answers
148 views

Analytic sum of an alternating series$\sum\limits_{n=1}^{\infty}(-1)^{n} \frac{n}{\left(n+\sqrt{a+n^2}\right)^2}$

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Claude Leibovici
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Smallest Number of Strings to Distinguish $n$ Pairwise $L$-distinguishable Strings

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Proof of embeddibility of projective smooth $k$-scheme with dimension $d$ in $\mathbb{P}^{2d+1}_k$ ( Part 2, Gortz, Wedhorn )

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Plantation
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One exponent for all numbers

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habualfa
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Counting disjoint $k$-tuples of lines in $\mathbb F_q^n$

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Jyrki Lahtonen
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Equivalent definitions of vector-valued Riemann integral

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WillG
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4 answers
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Evaluate: $4^9-\binom{8}{1}4^8+\binom{7}{2}4^7-\binom{6}{3}4^6+\binom{5}{4}4^5$

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D S
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A Principled(?) Way to Determine a Lie Algebra Automorphism from a Dynkin Diagram Automorphism (and invariant subalgebra)

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183 views

Doubt in Stokes' theorem & line integral

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mark haokip
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832 views

Two $1$-dim random walkers separated by a distance $d$ will meet at or before time $t$.

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1 answer
531 views

An upper bound for $-\frac{\zeta'}{\zeta}(s)-\frac{1}{s-1}$

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4 answers
168 views

Finding the angles of a non-equilateral $\triangle ABC$ with centroid $G$ such that $\angle GAB=\angle GCA=30^\circ$

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Blue
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1 vote
1 answer
500 views

Riemann zeta function, Stirling's numbers, and infinite series of rising/falling powers over ordinary powers

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DroneBetter
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0 answers
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Meaning of “expand by algebra” in an old Tripos question about $a^x$ and $\sin(x/m)$

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asamsa
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Every k-fold cover of the real line by intervals can be decomposed into k distinct covers.

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psychohistorian
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7 votes
4 answers
242 views

What is the correct definition of a limit point in real analysis?

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8 views

Continuity of functions in b-metric spaces

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mark haokip
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Dimension of a diagonalizable matrix

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How many odd numbers are there in one row in Pascal's triangle?

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Bill Dubuque
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2 answers
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How $\min(x,y)$ works in reasoning

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Bill Dubuque
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2 votes
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29 views

Can you find a great circle with only a compass?

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Steven Stadnicki
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1 answer
260 views

Partial sum of Stirling numbers of the second kind with falling factorial

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DroneBetter
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2 answers
156 views

What is wrong with my derivation of the surface area of a sphere?

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Daniel Smania
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1 answer
27 views

Generalization of Cauchy's functional equation. What are the general solutions, $f$?

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Bruno Andrades
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How applicable are the isomorphism theorems?

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inkd
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777 views

Ratio of Height to the Radius of its base

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Density of the set of positive triplets $(x,y,z)$ such that $x^{n_1}+y^{n_2}=z^{n_3}$ for positive integers $n_i$ in the halfopen unit cube $(0,1]^3$

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Showing ${n\brace k}^2>{n\brace k-1}{n\brace k+1}$ by induction on $n$

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DroneBetter
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138 views

How do you think about uniform continuity?

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Ben
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2 answers
81 views

Known properties of these generalized Cauchy distributions

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536 views

No eigenvalue of a graph is larger than the maximum degree

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minh quý lê
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1 answer
146 views

Cubic non-residue calculation

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Jeff Margrave
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2 answers
57 views

How can I derive a smooth, non-singular force formula from a uniformly dense rod in $\mathbb{R}^{1}$?

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Teepeemm
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1 answer
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Periodic Orbits of Arbitrarily Small Period for a Flow Without Fixed Points

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Massimiliano de Sa
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10 votes
3 answers
574 views

Integral $\int_0^{\infty} \arctan{\left(\frac{n}{\cosh{(x)}}\right)} \mathop{dx}$

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Quanto
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Limit of the function satisfying $f(x)=x-f(x^2)$ as $x\to 1^-$

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1 answer
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If a sequence of functions is zero almost everywhere and converges pointwise almost everywhere, does the same hold for a limit?

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What sets of digits can be used to represent all of the real numbers in a ternary numeral system?

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Dark Malthorp
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$f: \mathbb{RP}^n \to \mathbb{RP}^m$ for $n > m$ induces trivial map on reduced cohomology

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Ben Steffan
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How to find general solution to differential equation given a particular solution

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Gonçalo
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69 votes
11 answers
23k views

A linear operator commuting with all such operators is a scalar multiple of the identity.

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“Central limit theorem” for symmetric random variables with no finite mean

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triple_sec
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2 answers
2k views

Example of two field extensions such that their tensor product is not a field

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Martin Sleziak
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2 votes
2 answers
97 views

Is there a similar way of proving this statement when $\mathbb{K}=\mathbb{F_2}$?

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Algebraic Geometry and its application to Cryptography

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1 answer
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A gap in a game theory derivation

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How are defined these double complexes in Bott Tu, Section 14?

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Samy
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1 answer
27 views

Is $A_{\epsilon}=\{x \in X: d(x,A) \leq \epsilon\}$ a continuum metric space?

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Lorago
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4 votes
1 answer
197 views

How to prove that $\lim\limits_{n\to\infty} \sum\limits_{k=1}^n\left(\sqrt[p]{\frac{n^p+k^{p-1}}{n^p}}-1\right)=\frac1{p^2}$ for all $p\in\mathbb{R}$?

pie's user avatar
pie
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1 answer
107 views

Proof that $F$ is an algebra over $\Bbb R$

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Anne Bauval
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1 answer
30 views

Computing Fourier transform for a real odd signal

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Srini
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0 answers
21 views

Practical and historical role of Jordan measure

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0 answers
15 views

Asymptotic Expansion of Bessel Function using Sommerfeld Contour

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Joel Storch
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0 answers
13 views

Is a collinearity step missing in this Miquel point proof?

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Ahan
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3 answers
1k views

Applications and uses for the Lebesgue number of a open cover

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pyridoxal_trigeminus
  • 3,376
3 votes
1 answer
772 views

Properties of horizontal divisors on a fibered surface.

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4 votes
2 answers
102 views

Cutting a Möbius strip in thirds. Why are the resulting strips interlinked?

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heropup
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1 vote
1 answer
3k views

Having trouble understanding this proof of König's theorem...

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RobPratt
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1 answer
48 views

Grothendieck spectral sequence for right exact functors?

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FShrike
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1 answer
809 views

At Most Countable Sets: Finite vs Countable

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Does Blaschke’s characterization of ellipsoids extend to non-compact convex body?

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hbghlyj
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2 answers
180 views

Expectation of an absolute value

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Oscar Lanzi
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0 answers
29 views

How much less is the arithmetic mean than the max given the average deviation?

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Dair
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0 answers
51 views
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Proving bounds for differential equation system?

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Brenda
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Criterion for abelian subcategory

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psl2Z
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1 answer
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The Gateaux derivative and the Jacobian

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Mentastin
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2 votes
1 answer
123 views

Set-theoretical conventions in Pedersen's Analysis Now

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Tankut Beygu
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0 answers
87 views

What are the curves of constant affine curvature in dimension $>2$? Are they still polynomial?

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hbghlyj
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1 answer
770 views

Singularity of Product of two complex function $f$ and $g$

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4 answers
2k views

$R = \mathbb{Z}[ i ] / (5)$ is not an integral domain? Why?

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Grant Hacking
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1 answer
334 views

Bott and Tu Spectral Sequence of a Double Complex

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Correspondence Local Systems & $\Bbb Z \pi_1(A)$-modules and its Compatibility

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0 answers
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Conversion between Cartier Divisors, Weil Divisors, Line Bundles and Invertible Sheaves.

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William
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3 votes
1 answer
76 views

How many components does an arc meet in a continuum

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Aldo
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1 answer
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If $K/F$ and $L/F$ are separable, then the composite $KL/F$ is separable

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hdecristo
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1 answer
95 views

Prove that $\int_0^1\operatorname{Li}_2\left(\frac{1-x^2}{4}\right)\frac{2}{3+x^2}\,\mathrm dx= \frac{\pi^3 \sqrt{3}}{486}$

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Sangchul Lee
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5 votes
2 answers
141 views

Stuck on part (b) of Rising Run Lemma exercise

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Louis
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0 answers
32 views

Error in derivation of quaternion derivative

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AeroMain27
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4 votes
0 answers
73 views

The exact meaning of ‘subject to that’ in this context

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Rócherz
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4 votes
1 answer
186 views

Is there a converse of the Copeland-Erdős theorem on normal numbers?

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Jotazuma
  • 162
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1 answer
162 views

Min $S$ satisfying $\frac{a}{S-a}\frac{b}{S-b}\frac{c}{S-c}=\frac{1}{60}$ and some constraints

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Glory2Ukraine
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2 votes
2 answers
258 views

How to show a functional has infinitely many minimizers?

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Rodrigo de Azevedo
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4 votes
1 answer
125 views

Closed form for a symmetric sum of squared binomials

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pioo
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1 answer
51 views

Is the complement of the closure of $x^{n_1} + y^{n_2} = z^{n_3}$ for all positive integers $n_i$ given by these two regions?

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Christophe Boilley
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0 answers
55 views

Modelling a dice game without straightforward computation

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Jack Meow Meow
  • 359
65 votes
2 answers
4k views

When are nonintersecting finite degree field extensions linearly disjoint?

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Martin Sleziak
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2 votes
2 answers
229 views

Does the Axiom Schema of Separation in any sense "provide" only countably many definitions of subsets of $\mathbb{N}$?

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Chad K
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0 answers
54 views

Casting shadows of parametric convex surfaces to arbitrary planes

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hbghlyj
  • 6,019
4 votes
1 answer
171 views

Real variable method to show that $\int_{-\infty}^\infty \frac{\sinh ax}{\sinh \pi x}\cos bx dx = \frac{\sin a}{\cos a+\cosh b}$?

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homo_morph
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2 votes
1 answer
2k views

Prove that an entire and bounded function is constant

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