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Interesting 34 Bountied Hot Week Month
7 votes
6 answers
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how to compute $E(X^4)$ when $X$ follow the normal law $N(0,1)$

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Travis Willse
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2 votes
2 answers
57 views

Proofs with Hypotheses Containing "or" statement

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ryang
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0 votes
1 answer
56 views

How to Solve the Differential Equation Involving Pauli Matrices and Time-Dependent Terms?

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Roland F
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0 answers
22 views

Degenerate perturbation theory to nonlinear equation

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Sean
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1 answer
90 views

What is the identity of this zeta function?

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user1274233
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17 views

Solutions to this odd Diff Eq with an integral in it?

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Gonçalo
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1 vote
1 answer
258 views

Intuition between the equivalence between Cech and Singular Cohomology?

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ronno
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2 votes
0 answers
41 views
+50

Minimizing surface area of revolution for a fixed volume of revolution

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Question on exercise 1.1.12 of Terence Tao's Random Matrix Theory notes

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Nao Tomita
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1 answer
52 views

Prove the unbounded sequence $\left\{{a_n} \right\}$ has a subsequence $\left\{a_{p_n} \right\}$ such that $\frac{1}{a_{p_n}}\rightarrow 0$.

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Anne Bauval
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1 answer
51 views

$z = xy$ intersects with $y = 2x^2$ on a curve. Points on curve are connected to $(0,0,0)$ by a line segment. Area of segment. Solution verification.

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M. Wind
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9 views

Number of paths to go from (0,0) to (6,4), each step can only be one up or to the right, and no three consecutive steps in the same direction?

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Steve Liu
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1 answer
82 views

Question about the change of basis matrix

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janmarqz
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2 answers
41 views

How to evaluate the following exponential-trigonometric Integral?

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Claude Leibovici
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1 vote
0 answers
87 views

Understanding the motivation of a step in a proof

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Ruben
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3 votes
1 answer
95 views
+50

Long term probability of going bankrupt?

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Lee Fisher
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-1 votes
0 answers
13 views

Locus of a circumcentre

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Sanjith Sivakumar
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3 votes
2 answers
3k views

Solving PDEs using Charpit's Method

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27 views

Growth of factorial functions and tetration

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Frederik vom Ende
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18 votes
9 answers
2k views

Formula for bump function

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robjohn♦
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0 answers
18 views

How to compute Contour Integral Numerically

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Aziz
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1 vote
0 answers
12 views

Projection onto a real subspace within a complex vector space

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pillow47
  • 161
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2 answers
20 views

Confusion in using applying variance formula

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Zack Fisher
  • 546
2 votes
0 answers
25 views

A method of solving systems of linear equations in C.

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iceyspinglass
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2 votes
0 answers
10 views

Continuity of $L_p$ norms

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Mshirur
  • 33
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2 answers
1k views

Solving Quadratic equation using substitution

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Aditya Saxena
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1 vote
1 answer
77 views

2D Modified Random Walk

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Jean Marie
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0 answers
38 views

Can a function that's second derivative zero have a local non global maximum or min?

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Jake
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2 answers
1k views

Matrix form of a double sum

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2 votes
1 answer
27 views

Sum of Repetends of Prime Reciprocals

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Haran
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1 answer
31 views

Non-uniqueness for Fourier Interpolation

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Ryszard Szwarc
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1 vote
0 answers
15 views

Spaces of Probability Measures with Weak Convergence

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GA-Student
  • 183
105 votes
7 answers
9k views

Does L'Hôpital's work the other way?

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W D
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2 votes
0 answers
23 views

Probability of Coffee being Hotter than some Temperature?

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J. W. Tanner
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1 vote
0 answers
13 views

How to prove the continuity of the path lifting function of covering spaces.

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HWC
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0 answers
12 views

holomorphic on every $2$-dimensional complex plane $\implies$ holomorphic on the entire $m$-dimensional complex plane

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1 vote
0 answers
15 views

Varshamov bound is stronger than Gilbert bound

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Zoudelong
  • 357
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0 answers
5 views

Nonsingularity about the control gramian

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xinyang li
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2 votes
1 answer
69 views

Where is the error in evaluating this integration:$\int^{\infty}_{-\infty}\frac{\cos(2x)}{(1+x^2)^2}$

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Alann Rosas
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2 votes
1 answer
32 views

Connection Between Derivations of Finite and Infinite Binomial Expansion

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Qiaochu Yuan
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5 votes
1 answer
2k views

Really simple combinatorics question - Composition of n number strings

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Upper bound for a operator norm in terms of any open ball.

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Javier Bejarano
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0 answers
18 views

Minimal number of binary operators to mock an arbitrary truth table

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Xiaoyou Zhai
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0 answers
34 views

Is my proof rigorous enough? Spivak, Prove:$\lim_{x \to a}f(x)=\lim_{h \to 0}f(a+h)$ (Chapter 5, Problem 10)

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Edward Falls
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0 answers
21 views

A surjective continuous open map has a continuous right inverse

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H4z3
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2 votes
2 answers
116 views

Bump function with integral $1$ and value $1$ at zero

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orangeskid
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2 votes
2 answers
80 views

Optimal strategy for uniform distribution probability game

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mathz2003
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1 answer
44 views

Regarding the question of translating the verbal descriptions of definitions and theorems into propositional logic

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Dan Christensen
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1 answer
1k views

3D Array Multiplication

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Finding $\min_{Q^TQ = I}(n Tr((Q^T \Lambda Q)^2) - Tr(Q^T \Lambda Q)^2)$

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Kakashi
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7 votes
2 answers
3k views

How many chips drawn with replacement until a duplicate is found?

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Cam
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0 votes
1 answer
139 views

Exterior Algebra as a quotient is or is not compatible with Exterior Algebra as a vector subspace space with $\det$ convention of wedge product?

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krm2233
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2 votes
0 answers
35 views

Is it really necessary to go to all this trouble to split division algebras?

Qiaochu Yuan's user avatar
Qiaochu Yuan
  • 432k
2 votes
1 answer
30 views

Is there a continuous bijective mapping of $R$ into a compactum

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Qiaochu Yuan
  • 432k
11 votes
0 answers
139 views
+50

8000 congruent convex asteroids can form a "stable cluster". How much better can we do?

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greenturtle3141
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1 vote
1 answer
143 views

Introduction to the Binary Tetrahedral group and the 24-cell

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phionez
  • 320
0 votes
1 answer
16 views

Rational quaternions are division sub algebra of any cyclic division algebra over a number field

Qiaochu Yuan's user avatar
Qiaochu Yuan
  • 432k
3 votes
2 answers
1k views

Simple question about histogram

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Zack Fisher
  • 546
1 vote
0 answers
15 views

Signed Measures and Radon-Nikodym Theorem with Total Variation Measure

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Tyler88
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3 votes
1 answer
51 views

Show that $\sum_{k=1}^n{2^{2k-1}\binom{2n+1}{2k}B_{2k}(0)}=n$

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Conreu
  • 2,648
4 votes
1 answer
138 views

(When) are recursive "definitions" definitions?

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Alex Kruckman
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7 votes
2 answers
736 views

Alternative introduction to tensor products of vector spaces

Qiaochu Yuan's user avatar
Qiaochu Yuan
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0 votes
0 answers
29 views

Can mathematics explain the reason behind my finding regarding the binary matrix arising from BCH code?

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Dark Forest
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0 answers
5 views

What term do you use to describe to the rate of change of higher order tensor functions with respect to their inputs?

David's user avatar
David
  • 101
2 votes
1 answer
79 views

Approximating solution to vector recurrence relation with element-wise exponential

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orchi_d
  • 301
0 votes
1 answer
24 views

Proving existence of a linear combination by using partial fraction decomposition

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Qiaochu Yuan
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1 vote
0 answers
16 views

evaluation and coevaluation, FDVS case

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node196884
  • 387
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0 answers
13 views

Looking for an example of a real (hyper)cubic surface with special restriction

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Degenerate D
  • 379
3 votes
1 answer
79 views

Spivak's proof of the parallelogram law of forces

Qiaochu Yuan's user avatar
Qiaochu Yuan
  • 432k
0 votes
1 answer
18 views

Clustering for a real problem - location matters!

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RobPratt
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2 votes
1 answer
27 views

acylindrically hyperbolic groups have hyperbolic Cayley graphs?

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Ѕᴀᴀᴅ
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0 votes
1 answer
33 views

General question: Is there theory/literature for the solution of symmetric PDEs?

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Masd
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0 answers
23 views

Comparison principle for order of convergence

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Veronica
  • 534
2 votes
1 answer
29 views

If a sequence $a_n$ satisfies the following two properties, does $\sum_{k=1}^{\infty} (\sum_{n=1}^{\infty} \frac{1}{a_n^k} - L)$ converge?

Adam Rubinson's user avatar
Adam Rubinson
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1 vote
1 answer
26 views

Smoothness condition for complete intersection to be k3 surface

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KReiser
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0 votes
1 answer
46 views

When will "Retract $\iff$ Deformation Retract" hold true?

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JAG131
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1 answer
23 views

About the dual of an ideal with respect to trace

KCd's user avatar
KCd
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2 votes
1 answer
22 views

Space of complex matrices that are both pairwise row and column orthagonal

Qiaochu Yuan's user avatar
Qiaochu Yuan
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0 votes
1 answer
36 views

How do I approach this volume problem?

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user376343
  • 8,554
0 votes
0 answers
52 views

Max conditional entropy

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Christian Chapman
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0 votes
0 answers
28 views

Different approach to calculating longest run of heads probability

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koalacombatsystems
  • 11
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2 answers
2k views

characters of group direct product

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Reference on the Partition Problem's existence of a Solution

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Curious
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0 answers
38 views

Is every geodesic constant-speed?

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user358572
  • 23
1 vote
0 answers
15 views

Conservative idempotent magma - proof attempt

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Oliver Bukovianský
  • 63
1 vote
0 answers
27 views

Asymptotic growth of the Fibonacci primes

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Cristof012
  • 340
3 votes
0 answers
97 views

What is $ \int_{0}^{\exp(-1)} \frac{\ln \ln \frac{1}{x}}{1+x^{2}} dx $?

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Conreu
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16 votes
1 answer
7k views

Prove that every compact metric space $K$ has a countable base, and that $K$ is therefore separable.

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1 vote
0 answers
19 views

Cech cohomology cap product

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JMM
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0 answers
22 views

Prove or disprove an integral identity

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calculatormathematical
  • 2,308
3 votes
0 answers
42 views

Decomposition of $[0,1]$ where Banach-Tarski fails

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user267839
  • 7,551
2 votes
0 answers
25 views

prove $\mathcal{L}^n(A(E))=|det A|\mathcal{L}(E) $

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Dsrksidemath
  • 449
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0 answers
7 views

Why Is Converting a Kernel Designed in the Spectral Domain to the Vertex Domain Not Just an Inverse Fourier Transform?

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Akakce
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0 answers
31 views

There exists $\alpha \in \mathfrak{a}$ such that $\text{ord}_{p_i}((\alpha)) = \text{ord}_{p_i}(\mathfrak{a})$ for a finite set of prime ideals

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calculatormathematical
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3 votes
0 answers
18 views

When must a space generated by compacts also be generated by Hausdorff compacts?

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Steven Clontz
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0 answers
22 views

taylor polynomial of a harmonic function is harmonic

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