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Interesting 40 Bountied Hot Week Month
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Prove that the $F$-algebra $A \otimes B$ is a semiprime algebra if and only if its center is semiprime algebra.

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Markus
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Understanding proof of Lemma 7.7.9. in the Lei fu's Etale Cohomology theory book ( Definition of trivial etale covering space )

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Plantation
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3 answers
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All solutions for $a^2 + 5a + 19 = b^2$ where a and b are positive integers

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Piquito
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1 answer
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Find and classify the singular points of the function $f$ and compute the integral $\int_{|z|=1} f(z) dz$.

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geetha290krm
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1 vote
1 answer
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Prove from the definition that $z_n \rightarrow \frac{1}{2}$ as $n \rightarrow \infty$

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Riemann
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Density of a Random Variable in $\Bbb R^n $: Deduce from the Cubes

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Grey
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2 answers
2k views

Increasing/decreasing a set of numbers in proportion to match a total

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1 answer
30 views

TVD of parametric Poisson distributions

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JimB
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5 views

Optional Stopping Theorem for expected number of flips

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Let lacunary power series $f(x)=\sum_{n=0}^{\infty}a_n^{s} x^{a_n}$, does $\lim_{x\to1}(1-x)f(x)$ exist?

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user130405
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13 votes
2 answers
4k views

Does law of large numbers converge in $L^1$?

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shark
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1 vote
3 answers
67 views

Help solving $\int_1^e\frac{\ln^2x}{x+x\ln^2x}$

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Angae MT
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2 answers
45 views

How to prove an infinite,bounded, subset A of $\mathbb{R} $ contains a subsequence such that the limit of the sequence is the supremum of .

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Malady
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1 vote
1 answer
29 views

Equivalence between $A^{-1}$ adjointable and $A^*$ invertible

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Martin Argerami
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0 answers
117 views

Is a closed set in a TVS over $\mathbb{R}$ convex?

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Tian Vlašić
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26 views

Stuck on solving basic elliptic PDEs

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K. Jiang
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2 votes
0 answers
17 views

Reciprocity type identity involving floor function : $S(a,b)+S(b,a)=1$

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21 views

Simplifying equation to a simplistic linear form!

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5 votes
1 answer
1k views

combinatorics design

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0 answers
18 views

How long will it take for Polya's Urn to have the same Ratio as it had in the Beginning?

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konofoso
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1 vote
2 answers
281 views

Relation between semisimple Lie algebra completely reducibility and semisimple ring

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Qiaochu Yuan
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0 votes
0 answers
8 views

characterization of signed distance function on plane

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Anthony
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0 answers
16 views

Partial Fraction Decomposition: Repeated Irreducible Quadratics

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TargetVN
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1 answer
14 views

Example of a Graph Where Every Node is Pivotal for at Least Two Different Pairs of Nodes

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Mike
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3 votes
1 answer
69 views

Solution of a square root SDE

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Thomas Kojar
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1 vote
0 answers
33 views

How to calculate the area of the region enclosed by $ a(x^2+1)(y^2+1) = 2(a^2+1)xy $, when $x>0$, $y>0$

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carl0104
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Is there a convention of using (x1,x2) for a column vector, not row?

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Yosh
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1 vote
1 answer
25 views

Contour Integral of tan(t+ai)

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J. Ganesh
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30 views

Probability of Seeing All Original Balls in Polya's Urn?

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konofoso
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1 vote
2 answers
1k views

How to get intersection points between a plane and a triangle (3D)?

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The priority of addition and multiplication in a ring

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槿铃兔
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2 votes
1 answer
70 views
+50

Weak convergence and integral convergence

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Gio67
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1 vote
1 answer
61 views

Calculate $\int_{|z|=1} \frac{z^6}{17z^8-7z^4+2iz^2-5z+2} \, dz$

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Riemann
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7 votes
1 answer
123 views

The Entropy of Entropy (Or how to fix an unfair dice)

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stochasticboy321
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43 views

Whether we can get energy estimate $d\|X\|^2+2\|X\|_{H^1}^2 dt=2(X, B dW) +{\rm Tr}(BB^*)dt$ of a weak solution of stochastic differential equations?

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David Gao
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34 views

Show that $ Y $ is separable, and that the spectrum of $ A$ consists of eigenvalues only.

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David Gao
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5 votes
3 answers
127 views

Intuitive explanation for why $\pi$ turns up in $\binom{2m}m \sim \frac{4^m}{\sqrt{m\pi}}$

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Oleksandr Kulkov
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12 votes
1 answer
324 views

Axler "Linear Algebra Done Right" Exercise 6.B.13

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owlman
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1 vote
1 answer
2k views

When is a comparison test inconclusive and when is a limit comparison test inconclusive?

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2 votes
1 answer
44 views

Probability equation for simulations of sequential experiments

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15 views

Optimal sub-gaussian variance proxy for imbalanced two-point Gaussian mixture

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Johnson
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3 votes
2 answers
117 views
+100

Spectral radius of $I-KH$, where $K$ is a Kalman gain

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Efim Mazhnik
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0 answers
21 views

Can an affine transformation turn a conic into a degenerate conic?

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Henrique Fonseca
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1 vote
0 answers
10 views

Upper bound for the set of bad colourings

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sozinhozinho
  • 92
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0 answers
18 views

Terminating subgroup of an upper central series of a finite group

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Mohan
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0 answers
15 views

how to look at the space of infinite binary grids

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Silver
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1 answer
45 views

For $X_t$ a continuous-time Markov chain, show $M_t := \frac{f(X_t)}{f(X_0)}\exp\left(-\int_0^t \frac{Gf(X_s)}{f(X_s)} \; ds\right)$ is a martingale

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chessman
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1 answer
34 views

What is the probability that I finish a massive doubles tournament, having played only teams that I've never seen either member of?

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Brian Tung
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4 votes
2 answers
166 views

Does this recurrent sequence have a limit?

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Somos
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3 votes
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51 views

Constructing Lebesgue measure recursively

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Kushi
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-3 votes
0 answers
32 views

Exercise involving little o and big O notations

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angryavian
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0 votes
1 answer
11 views

Nonconvex quadratic objective with quadratic constraint

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Mark L. Stone
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0 answers
43 views

Gram Schmidt Procedure with Respect to Bilinear Form

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Mattéo Lehuy
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2 answers
304 views

How can I prove that two lines intersect at a circle?

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user643717
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-1 votes
0 answers
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Question about Graph Theory: Proving Minimum Triangulation Vertices Estimate

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gghh
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0 answers
22 views

Inequalities about $x^n + b_1 x^{n-1} + b_2 x^{n-2} + \dots + b_n$, in which $n$ is an integer $> 2$ and $x$, $b_1$, $b_2$, $\dots$, $b_n$ are real

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Juliamisto
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0 answers
35 views

Help with finding error in my proof for a problem about the probability of $\epsilon$-regularity in a random graph

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Saksham Sethi
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37 views

How $〈 , 〉$ (Tate duality pairing) induces non degenerate pairing $E(K)/pE(K)\otimes H^1(G_K,E)[p]\to \Bbb{Z}/p\Bbb{Z}$?

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Find coefficients of the inverse of a matrix holding sum of binomial coefficients

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RobPratt
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0 answers
14 views

Are two Anosov metric with same curvature and same volume isometric?

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ValRio
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0 answers
20 views

Coupon Collector Problem when obtaining a coupon is not equally likely

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RobPratt
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3 votes
1 answer
31 views

Transitivity of subset relation (proof using hypothetical syllogism).

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Asaf Karagila♦
  • 397k
4 votes
1 answer
35 views

Can $\aleph_0 + $ a Dedekind-finite be a successor of $\aleph_0$

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Asaf Karagila♦
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1 vote
0 answers
27 views

How to find this pgf in a game of roulette?

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RobPratt
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0 answers
10 views

The size of maximum independent set will not drop if deleting vertices, is it true?

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RobPratt
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3 votes
3 answers
39 views

Relationship between Pythagorean Triples and double/half angles

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Narasimham
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26 views

Bijection between the set of representations of the $C^*$-algebra $ A \otimes B $ and the set of representations of the $(A,B) C^*$-correspondances.

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YoYo12
  • 387
7 votes
3 answers
3k views

Is $L^p \cap L^q$ dense in $L^r$?

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BlowingWind
  • 147
1 vote
1 answer
32 views

Characteristic function and Student's t-distribution; a problem

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MLFP
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0 answers
17 views

On a random-walk-like stochastic process with the probabilities following a recursion

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lntk
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2 votes
1 answer
47 views

How to solve definite integral where the independent variable is in division and a trig function?

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K. Jiang
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1 vote
0 answers
41 views

Area of a Rectangle From the Definition of Area Found in a Multivariable Calculus Textbook

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Mree
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6 votes
1 answer
46 views

Does every cardinal have a successor without choice?

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Asaf Karagila♦
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0 answers
18 views

Convolution inequality $\big{\|}\|f(x,\cdot)*g(y)\|_{L^\infty_x}\big{\|}_{L^2_y}\leq C\big{\|}\|f(x,y)\|_{L^1_y}\big{\|}_{L^\infty_x}\|g\|_{L^2}.$

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Gonçalo
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2 votes
0 answers
26 views

Another question about successors in the preorder of sets in ZF

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Carla_
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0 answers
7 views

Given a quadratic bézier curve, how can I know if P1 is within $\vec{V_1}\bot\overrightarrow{PT\to P2}$ and $\vec{V_2}\bot\overrightarrow{PT\to P0}$

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Nameless
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0 answers
18 views

Coefficient of derivatives on power function

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Marcosko
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1 answer
29 views

Solving integral with Gamma-functions

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daniel
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0 answers
50 views

Evaluate $\int_0^{\pi/2} (\operatorname{Li}_2(\sin^2(x))^2\textrm{d}x=\int_0^{\pi/2} (\operatorname{Li}_2(\cos^2(x))^2\textrm{d}x$

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user97357329
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$u(x, y) = \sin x \, \cosh y + x^3 - 3xy^2 - 2y \quad \text{and} \quad f(0) = 3i$

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michael
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1 vote
0 answers
24 views

Primal and dual configuration

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D. S.
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0 answers
12 views

Is there a term for filling in additional entries of a binary matrix dependent on what is currently there?

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EricBurkholder
  • 61
-3 votes
1 answer
85 views
+50

Bounding $S(n) = \sum_{k=1}^n \mu(k) \left( \pi\left(\frac{n}{k}\right) - \pi(\text{gpf}(k)) \right)$

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Juan Moreno
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0 answers
8 views

Construction of primitive additive character modulo an integral ideal

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zero2infinity
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0 answers
8 views

Connecting a Fourier Transform series expansion to the Dirichlet Distribution

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Mathis
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2 votes
0 answers
26 views

"Non-random" non-trivial structure in the prime numbers

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Mees de Vries
  • 27k
0 votes
0 answers
10 views

Characterization of normal coordinate chart

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Luke
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4 votes
0 answers
72 views

Differential Equation: "I love Physics" - Pendulum meets Capstan equation | Approximation

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Physics
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3 votes
0 answers
33 views

$D = \{ z \in \mathbb{C} \mid (\operatorname{Re} z - 1 < \operatorname{Im} z < 1 - \operatorname{Re} z) \land (\operatorname{Re} z > 0) \}$

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Anne Bauval
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2 votes
0 answers
21 views

$\mathbb{Z}_2$-symmetry of surface inherited by embedded graph

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Emil Sinclair
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2 votes
0 answers
12 views

$\int_a^b \sin(\theta)P_l^m(\cos\theta)\,d\theta$

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Grey
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0 votes
1 answer
974 views

Why does the graph of an integrable function have volume zero?

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Gustavo de Souza
  • 161
2 votes
1 answer
50 views

Almost sure convergence of a double sum of gaussian RVs

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Papi
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-2 votes
0 answers
46 views

What is Hyper-E notation?

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RobPratt
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0 answers
13 views

Koszulness and Macaulay2

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Hola
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2 votes
2 answers
155 views

Combinatorial number theory question

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Ingix
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