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Interesting 9 Bountied Hot Week Month
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How does one derive involutivity of complement from the axioms of a Boolean algebra?

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Pass the limit in a sum

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Combinatorial Arrangements of 10 Blue and Red Balls in total where each blue ball must be adjacent to another blue one

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How to see $x_1\geq 0$ in the primal implies $p' A_1 \leq c_1$ in the dual, when there are no other constraints than just $x_1\geq 0$?

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niobium
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2 votes
2 answers
176 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
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Compact operators in Hilbert space

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Bivariate Distrubution (Uniform) (Probability/Geometry)

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1 answer
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Chains intersecting both the subspace and its complement in relative homology

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Ben Steffan
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1 answer
67 views

Can we prove that the limit $e = \lim_{h \to 0^+} (h + 1)^{\frac1h}$ exists using the fact that the function in the limit always decreases for $h>0$?

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How to translate a slanted cylinder? ( iso-surface geometry)

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Representations of a separable Hilbert space as a Banach lattice

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4 answers
200 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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Oscar Lanzi
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Binomial sum without using Stirling numbers

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Gary
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12 votes
3 answers
6k views

proper subgroups of finite p-groups are properly contained in the normalizer

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Simplify into reduced form

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4 votes
1 answer
159 views

Maybe an integral inequality in discrete form?

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5 votes
4 answers
256 views

Expectation of an absolute value

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3 answers
174 views

The only area–preserving linear symmetry of a strictly convex body fixing a boundary point is the identity?

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1 answer
101 views

Two forms of general solution for $4U_{xx}-4U_{xy}+U_{yy}=0$

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group action and automorphism of a group

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How to find all polyominoes that are intersections of the integer lattice with an open disk?

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Finding the best linear predictor

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

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Angle between tangents of a hyperbola

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JHT
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55 votes
7 answers
116k views

What is the difference between Average and Expected value?

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Aqua
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Saddle Point / Steepest Descent for Bessel Functions

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2 answers
31 views

Proof of the Third Isomorphism Theorem $(G/N_1)/(N_2/N_1)\cong G/N_2$

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530 views

Why does this method fail for finding the Fourier series for $\cos\left(\frac{x}{2}\right)$ on the interval $-\pi \lt x \lt \pi$?

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Why is it wrong to consider the highest asymptotic point as an absolute maximum of the function?

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2 votes
3 answers
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Find all generators of $ (\mathbb{Z}_{27})^{\times} $

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9 views

Simplicial circle in motivic homotopy theory

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Problem with calculating projections of curl using rotation of coordinate system and contour

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13 views

A family of lines with more than four points is 2-colorable

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99 views

Different universal bundle definitions

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1 answer
197 views

Show that $\mathfrak{Re}(\textrm{Li}_2(e^{ix}))=\frac{x^2}{4}-\frac{\pi x}{2}+\frac{\pi^2}{6}$ (polylogarithm)

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26 views

What is this lattice property I'm looking at?

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7 votes
1 answer
184 views

Stereometry question regarding the insphere of the tetrahedron

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Finding the equations of surfaces of revolution

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103 views

LP Constraint Problem

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249 views

Prove that $a^1 \cong a$

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Attila Vajda
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1 answer
59 views

How the multiplication in Ring-LWE is defined?

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Separable kernel in convolution

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1 answer
490 views

Necessary and sufficient conditions for the convergence of a series of complex terms

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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 $x \ge 21$?

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2 answers
197 views

Stuck on part (b) of Rising Sun Lemma exercise

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0 answers
25 views

Stochastic exponential and martingales

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Ruebli
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1 answer
564 views

Number of lattice points inside a circle in general position

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mezzoctane
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3 answers
122 views

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

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2 answers
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Interval of Convergence for a Differential Equation

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1 answer
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Equality related to random variable and its conditional expectation.

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3 answers
550 views

Number of words with 8 letters using an alphabet of 3 consonants and 2 vowels with constraints

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lucy
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0 answers
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On the convolution identity of a sub arc of circle and the open set which is thickened epsilon amount of another subarc in circle.

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Umar Khaiam
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11 votes
1 answer
962 views

Conditional expectation continuous in the conditioning argument?

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18 votes
6 answers
3k views

Book on combinatorial identities

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0 answers
74 views

Parametrization $p x^2 + q y^2 = z^3 + r$

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Dmitry Ezhov
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2 votes
0 answers
299 views

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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hongliang tao
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3 answers
194 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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Svyatoslav
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2 votes
1 answer
166 views

summing a row of the Stirling subset triangle times falling powers divided by ordinary powers

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DroneBetter
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9 votes
3 answers
406 views

Can divergent series be useful?

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DroneBetter
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1 answer
120 views

Random variable $X$ has exponential distribution with parameter $1$. What's the probability of $p(X\leq2)$

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DroneBetter
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1 answer
44 views

Position of two points with respective to a given straight line

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habualfa
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1 answer
43 views

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

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Arthur
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13 votes
2 answers
402 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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0 answers
166 views
+50

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

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Anonymous-math-guest
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5 votes
1 answer
932 views

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

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0 answers
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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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0 answers
32 views

Equivalent definitions of vector-valued Riemann integral

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WillG
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10 votes
4 answers
287 views

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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30 views

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

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FamisherCaterpillar
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2 votes
2 answers
833 views

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

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1 vote
1 answer
535 views

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

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DroneBetter
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1 answer
506 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
20 views

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

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0 answers
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Continuity of functions in b-metric spaces

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mark haokip
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2 votes
1 answer
1k views

Dimension of a diagonalizable matrix

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2 votes
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39 views

Can you find a great circle with only a compass?

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Steven Stadnicki
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1 vote
1 answer
39 views

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

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Bruno Andrades
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1 vote
1 answer
56 views

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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1 answer
468 views

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

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4 votes
2 answers
94 views

Known properties of these generalized Cauchy distributions

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3 votes
1 answer
152 views

Cubic non-residue calculation

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Jeff Margrave
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1 vote
1 answer
35 views

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

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Massimiliano de Sa
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5 votes
1 answer
80 views

A gap in a game theory derivation

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138 Aspen
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0 answers
31 views

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

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Samy
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23 views

Practical and historical role of Jordan measure

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3 votes
1 answer
773 views

Properties of horizontal divisors on a fibered surface.

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Criterion for abelian subcategory

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1 answer
770 views

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

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1 vote
1 answer
334 views

Bott and Tu Spectral Sequence of a Double Complex

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Samy
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1 answer
54 views

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

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hdecristo
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2 votes
3 answers
7k views

Difference between Direction cosine matrix (DCM) and rotation matrix

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M Marques
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22 votes
6 answers
1k views

Why is this angle always less than $49°$?

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Ataulfo
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7 votes
4 answers
486 views

Indefinite integral $\int\frac{1}{\sqrt{1-\text{csch}^2 x}}\,dx$

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Integreek
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11 votes
6 answers
891 views

What is the easiest way to integrate $\left(\frac{1-x}{1+x}\right)^{1/2}?$

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Integreek
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4 votes
1 answer
127 views

Closed form for a symmetric sum of squared binomials

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pioo
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2 votes
3 answers
866 views

Showing $x^4+x^2+x+1$ irreducible over $\mathbb{Z_3}$

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