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Interesting 8 Bountied Hot Week Month
Score of 3
2 answers
152 views

How to relate polar equation w/ its rectangular equation (and vice versa)?

David K
Score of 1
0 answers
13 views

Is there a known equality refinement of Hölder's inequality by adding a correction term?

LCH
Score of 2
0 answers
186 views

Rewrite $\int_0^\infty\ln\left(1-\frac x{\sinh(x)}\right)dx$ as a single sum

Tyma Gaidash
Score of 0
1 answer
34 views

Is there an error in this exercise?

mezzoctane
Score of 4
1 answer
541 views

Finite p-th variation implies zero-valued q-th variation.

CommunityBot
Score of 4
1 answer
257 views

Topology induced by a well-ordering of reals

spaceisdarkgreen
Score of 1
0 answers
90 views

Angular momentum in different frames

Alessandro Colnaghi
Score of 1
0 answers
21 views

Adjunctions induced by $\mathbf 2$

Stanis LaRochelle
Score of 1
2 answers
72 views

Why do cross products not change their components along the axis upon inversion

naturallyInconsistent
Score of 3
1 answer
47 views

If the matrix norm $\|\cdot\|$ is induced by an absolute norm and $D=\text{diag}(d_1,\dots,d_n)$, then $\|D\|=\max_i |d_i|$.

user1551
Score of 2
4 answers
196 views

For triangle $ABC$, prove that $\angle BDC=30^{\circ}$.

sirous
Score of 0
0 answers
37 views

Polynomial with good separation of roots

mezzoctane
Score of 1
1 answer
848 views

Show that $C(I, R)$ has a countable dense subset, and therefore a countable basis

CommunityBot
Score of 0
0 answers
22 views

Product of 2 Lerch Zeta functions formula

24th_moonshine
Score of 0
0 answers
15 views

Boolean algebra organisation

111111111111
Score of 0
0 answers
20 views

Find solid angle of cone $\{ a_1x_1+\cdots+a_kx_k\geq 0 \,\colon\, 1\leq k\leq d \}$

Mero Wingz
Score of 3
1 answer
90 views

On special equal sums $x_1^n+x_2^n +\dots + x_n^n = (x_n+1)^n$

Eugene Go
Score of 1
2 answers
565 views

Limit approaching to negative infinity.

CommunityBot
Score of 1
0 answers
61 views

Geometric derivation of solid angle of cone $\{ x_1+\cdots+x_k\geq 0 \,\colon\, 1\leq k\leq d \}$

Mero Wingz
Score of 1
2 answers
1316 views

Prob. 4(a), Sec. 13, in Munkres' TOPOLOGY, 2nd ed: Any necessary and sufficient conditions for a union of topologies to be a topology?

Saaqib Mahmood
Score of 1
1 answer
569 views

$(X,Y)$ is distributed uniformly over the square with vertices $(1,1)(1,-1)(-1,1)(-1,-1)$. Compute $\mathbb{P}(|X+Y|<1)$

CommunityBot
Score of 5
3 answers
552 views

Why is $s''$ needed in $s''(rs'-r's)=0$ for equivalence of fractions in localizations

Martin Sleziak
Score of 4
0 answers
44 views

Prob. 4, Sec. 32, in Munkres' TOPOLOGY, 2nd ed: Every regular Lindelof space is normal

Saaqib Mahmood
Score of 0
2 answers
276 views

Calculus- Converting an equation from Cartesian to polar Cordinate

David K
Score of 5
3 answers
309 views

Determine equilateral triangle's side length through the distance from three vertex to a certain point

dezdichado
Score of 2
1 answer
129 views

When the first $n+1$ powers of an $n\times n$ matrix coincide with the first $n+1$ entrywise powers

user1551
Score of 1
1 answer
50 views

Condition(s) on the complex numbers $a,b,c$ for all the roots of $z^3+az^2+bz+c=0$ to be unimodular

Dharmendra Singh
Score of 0
0 answers
54 views

Alternative version of the Euler-Maclaurin formula

mais
Score of 3
1 answer
106 views

Can anyone explain/prove why this "composition-counting" sequence detects primes?

Steakmath
Score of 0
1 answer
187 views

Show that $P(a < X < b) < 1$ for any $a,b\in \mathbb R$ with $a < b$.

Bowei Tang
Score of 3
1 answer
236 views

A symmetric characterization of triangles with two angles differing by $90^\circ$

Xander Henderson♦
Score of 3
3 answers
252 views

Proving the tangency of two circles

Xander Henderson♦
Score of 3
0 answers
213 views

How can we calculate the radius of the circumcircle of triangle ABC under these conditions?

Xander Henderson♦
Score of 6
3 answers
773 views

Find a synthetic proof to an old problem .

Xander Henderson♦
Score of 3
2 answers
360 views

What is the nature of a triangle for which the square of the diameter of its circumcircle is equal to the sum of the squares of two of its sides?

Xander Henderson♦
Score of 13
5 answers
8826 views

What are the meanings of $\operatorname{trig}(x)^n$ and $\operatorname{trig}^n(x)$?

ryang
Score of 0
0 answers
21 views

Cobordism inside an open set - II

Denaka
Score of 3
2 answers
109 views

Find Angle in Isosceles Triangle with Constructions Involving Circumcenter and Reflections

Xander Henderson♦
Score of 2
1 answer
118 views

How can I construct the radius of a pentagram's circumcircle given only its side length?

Xander Henderson♦
Score of 2
0 answers
82 views

Brocard inellipse area

Xander Henderson♦
Score of 0
3 answers
118 views

Modifying angle at the centre is double the angle at the circumference so that it has a converse.

Xander Henderson♦
Score of 0
1 answer
567 views

z bar differentiation.

CommunityBot
Score of 3
1 answer
223 views

Finding the circumradius of $\triangle ABC$ from those of $\triangle IBC$, $\triangle ICA$, $\triangle IAB$, where $I$ is the incenter

Xander Henderson♦
Score of 4
3 answers
183 views

Prove that a line is closed in a chain of orthogonal projections onto the circumcircle of a triangle.

Xander Henderson♦
Score of 0
0 answers
65 views

Statistical motivation for the Fisher-Rao metric tensor

mais
Score of 1
0 answers
78 views

Generalization of IMO 2026/1 to Triplets($k=3$) proving Invariance and Termination

Steakmath
Score of 0
0 answers
89 views

proof of linear continuums are connected

mais
Score of 1
1 answer
785 views

Sperner's Theorem

almost_okay
Score of 5
3 answers
148 views

Historical derivation of the Bernoulli numbers.

Oleksandr Kulkov
Score of 0
1 answer
1366 views

Number of ways in a Nim game such that First Player always wins

Mark S.
Score of 0
1 answer
91 views

Proving $\text{span}\{1,x,x^2,\ldots\}$ is a subspace of $C(\Bbb R)$

Anne Bauval
Score of 1
1 answer
553 views

Advanced Calculus Resource for Multivariate and Complex Calculus

CommunityBot
Score of 0
1 answer
25 views

Find the volume of the intersection of an ellipsoid with the positive orthant

kieransquared
Score of 0
1 answer
89 views

Is every continuous function from a non-Hausdorff to a Hausdorff set constant?

Martin Brandenburg
Score of 1
1 answer
68 views

Connection between the Euler-Maclaurin formula and Abel-Plana formulas

McAlkis
Score of 4
1 answer
64 views

Is it enough to consider only finitely generated projective modules having constant rank?

Ahr
Score of 5
1 answer
145 views

Euler Number of Bundles on a Grassmannian

Michael Albanese
Score of 2
0 answers
48 views

Winning strategy for a $100$ stone subtraction game

mais
Score of 0
2 answers
103 views

Examples of strong epimorphisms that are not strict

Daniel Schepler
Score of 9
3 answers
1122 views

When is $(a^b)^c $ = $a^{bc}$ true?

Shadowshibe
Score of 1
0 answers
51 views

Periodic Bernoulli polynomials at integer values

mais
Score of 2
1 answer
125 views

Solutions to $a^4+b^4+c^4 = d^4+e^4$ with $d\neq e$?

Guruprasad
Score of 0
1 answer
589 views

Calculate rotation of an object in relation to camera

CommunityBot
Score of 0
1 answer
671 views

Partial derivative of a first order condition in microeconomics

CommunityBot
Score of 1
1 answer
40 views

Verification of a Gelfand Triple Embedding Condition

jiahao zou
Score of 1
1 answer
49 views

Is this identity for multivariable vector-valued functions below true?

Bowei Tang
Score of 4
2 answers
123 views

How can I prove that $0$, $324$, and $5184$ are the only fixed points of $f(n)=(E(n)O(n))^2$? Where $E$ and $O$ are even and odd digit sum of a number

Bill Dubuque
Score of 2
1 answer
79 views

Differentiability of map between affine maps via cartesian coordinate systems.

Alessandro Colnaghi
Score of 0
1 answer
651 views

expanding boolean expression as maxterm

CommunityBot
Score of 3
0 answers
2081 views

Proving that the Gamma function infinite product definition extends its integral form definition

Gerry Myerson
Score of 2
1 answer
96 views
+50

Uniqueness and Universality of the Ring $W_n(K_s)$ of Truncated Witt Vectors in generalized Kummer Theory

user267839
Score of 2
2 answers
286 views

Why does the Generalized Collatz map ($3n+k$) with $k=3^x+2^x$ produce 1,023 cycles at $x=15$, but collapse to 1 cycle for $x \ge 21$?

Lluís Català
Score of 13
4 answers
1454 views

Cauchy's Theorem for Groups

Miguel Forteza
Score of 0
1 answer
48 views

Proving $x^{4}+y^{3}+x^{2}+y+1 \ge \frac{9}{2}xy$ for $x,y$ positive reals.

Maik Pickl
Score of 5
1 answer
559 views

Spectrum of a closed operator

CommunityBot
Score of 8
3 answers
1854 views

Can $2025$ and $2026$ be written as sums of five fifth powers?

mezzoctane
Score of 3
0 answers
48 views

Definition of contravariant adjunction

Stanis LaRochelle
Score of -1
1 answer
694 views

Measures on the real line

CommunityBot
Score of 4
1 answer
654 views

Non-Lebesgue measure for the doubling map

RDK
Score of 1
2 answers
616 views

How to find Nash equilibrium in pure and mixed strategies? Problem.

CommunityBot
Score of 0
1 answer
46 views

Horn Clauses and SLD resolution, question on proof by contradiction

Emil Jeřábek
Score of 5
1 answer
170 views

Trisection of a line segment in hyperbolic space

user582761
Score of 5
0 answers
1864 views

Prob. 16, Chap. 3, in Baby Rudin: $x_{n+1} = (x_n + \alpha/x_n)/2$, with $x_1 > \sqrt{\alpha}$, $\alpha > 0$

Gary
Score of 3
1 answer
95 views

The conditional distribution of $X$ given $X + \sigma\epsilon$ is approximately Gaussian (for small $\sigma$)

Snoop
Score of 3
2 answers
647 views

Equivalence of induced representation

David Goldberg
Score of 2
0 answers
588 views

Prob. 1, Sec. 28, in Munkres' TOPOLOGY, 2nd ed: An infinite subset of $[0,1]^\omega$ without limit points in the uniform topology?

Saaqib Mahmood
Score of 2
1 answer
97 views

Conflict Between Unitary and Orthogonal Similarity for Real Matrices

Ben Grossmann
Score of 2
0 answers
297 views

Definite integral involving Greatest Integer Function and arcsec(x) & arccot(x)

Gonçalo
Score of 2
1 answer
129 views

Solution to inhomogenous Diffusion Equation

Gonçalo
Score of 3
1 answer
556 views

Unambiguous context-free grammar for strings in $\{a,b\}^*$ containing at least as many $a$s as $b$s

Emil Jeřábek
Score of 1
1 answer
194 views

$\mathbb{E}[X^2]\leq k \mathbb{E}[X]^2$, upper bound second moment from first moment

Henry
Score of 1
1 answer
550 views

If an upper bidiagonal matrix has a repeated singular value, it must have a zero on its diagonal or superdiagonal

CommunityBot
Score of 4
1 answer
52 views

Newman and Seeley’s improvement to error term in $p$-group enumeration

kabenyuk
Score of 23
2 answers
6133 views

$\arcsin$ written as $\sin^{-1}(x)$

R. J. Mathar
Score of 7
2 answers
146 views

Prove the number of restricted sequences is $(n!)^22^{n-1}$

Milten
Score of 2
1 answer
99 views

Are $X$ and $Y$ martingales given the values in the tables?

Dresden
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