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Interesting 31 Bountied Hot Week Month
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1 answer
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Can an arbitrary partition of the set of infinite binary words be seperated in the supremum by a function on the finite words?

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Qiaochu Yuan
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0 answers
3 views

If $f(x) = \sum_{b \in B(x)}f_b(x)$ and $B(k) \subset B(k+1)$ while $\sum_{b \in B(k)} f_b(x) \geq \sum_{b \in B(k+1)} f_b(x)$ what is $f^{-1}(A)$?

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Daniel Donnelly
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1 vote
1 answer
115 views

Functions $\mathbb{N}\to\{0,1,2\}$ vs injections $\mathbb{N}\to\mathbb{Z}$

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Lucien Lefèvre
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0 votes
0 answers
9 views

Evaluate $I\left(n\right)=\int_{0}^{\infty}\frac{1}{\left(e^{x}+e^{-x}\right)^{n}}dx$

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Doge with shades
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1 vote
1 answer
990 views

Transformation of continuous, independent random variables

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0 answers
5 views

Eigenvalues of $PA$ with $P$ a projection and $A$ having eigenvalues inside open unit disk

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user594147
  • 177
0 votes
1 answer
11 views

If ordinal $\alpha$ isomorphic to subset of ordinal $\beta$ then $\alpha \leq \beta$

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0 votes
0 answers
14 views

Find $O(b)$ given that $a^5=e$ and $ab^{-1}a=b^2$

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Dhruv Tiwari
  • 35
0 votes
0 answers
6 views

does a 0 in the basic solution mean there's positive slack in the corresponding equation

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Kashiv K
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0 votes
0 answers
7 views

Zeros of $f(z) = z^5 - ae^z$ in $B(0;1)$ for $a<0$

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Timo Chang
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0 answers
11 views

Show that $∫_{X_1(t)}^{X_2(t)}u(t,x)dx=∫_{y_1}^{y_2}u(0,x)dx, (t\in \mathbb R)$.

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lurk
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5 votes
3 answers
82 views

Does $L=\lim_{N\to\infty}N\int_{-N}^{N}\prod_{n=1}^{N}\cos\left(\sqrt{n}x\right)dx$ converge?

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Claude Leibovici
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1 vote
2 answers
70 views

Does Bolzano-Weierstrass Theorem hold in n-dimensional complex space($\mathbb{C}^n$)?

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altugkarakurt
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-2 votes
0 answers
9 views

Show that A is equicontinuos on [0,1].

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Gabriel Ribeiro
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6 votes
2 answers
80 views

What [is the minimal] differential equation is satisfied by $y = \sum_{n=0}^\infty {x^n}(n!)^{-k}$?

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Mason
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3 votes
1 answer
68 views

What is the optimal geometry of a waffle?

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vallev
  • 1,123
5 votes
2 answers
131 views

Evaluate $\sum_{n=1}^{\infty} \left( \left(2n-1\right) \left(\frac{1}{n^2} + \frac{1}{(n+1)^2} + \ldots \right)^2 - \frac{2}{n} \right)$

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Hamza Ayub
  • 172
1 vote
0 answers
28 views

The smallest nonabelian finite simple group.

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Hope
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0 votes
0 answers
6 views

Exact Triangle Sorting for Orthographic Rendering of a Triangulated Surface

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Jasper
  • 239
0 votes
0 answers
30 views
+50

Can a symmetric bilinear form whose matrix representation is unitary be diagonalized wrt an orthogonal basis?

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e_s_
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0 answers
12 views

The order 4 isometry of the tetrahedron

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Ian Gershon Teixeira
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0 votes
0 answers
11 views

Evans' PDE: proof theorem 2 section 5.9

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A rural reader
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12 votes
1 answer
628 views
+100

Calculating $\int_0^1 \frac{\arctan^3(x) \log(x)} x\,\mathrm dx$

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Jorge Layja
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2 votes
2 answers
553 views

Prove that the length of the common chord is $\frac{2ab\sin \theta}{\sqrt{a^2+b^2+2ab\cos \theta}}$

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Cuckoo Beats
  • 261
3 votes
1 answer
204 views
+100

Wang–Chin partial order for comparing block matrix capacities

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dharr
  • 438
2 votes
1 answer
89 views

Approximate $\sec\left(\frac{\pi}{2}x\right)$ using $\frac{1-ax}{1-x}$

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Claude Leibovici
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70 votes
2 answers
2k views
+250

Are the sums $\sum_{n=1}^{\infty} \frac{1}{(n!)^k}$ transcendental?

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MJD
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1 vote
0 answers
9 views

Whats the logic behind Householder Decomposition?

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valentino
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2 votes
1 answer
964 views

Semi filled barrel - pt 2

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CommunityBot
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0 votes
1 answer
66 views

Why is this construction so redundant (Theorem 3.2 - Thomas Jech's set theory)

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MathInquirer
  • 578
1 vote
0 answers
54 views

Minimal polynomial of an algebraic integer

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RobPratt
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3 votes
2 answers
114 views
+50

Why is uniform convergence over $\omega$ not possible for sequences of random variables?

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Andrew
  • 2,098
13 votes
4 answers
833 views

Show that $(1+\frac{x}{n})^n \rightarrow e^x$ uniformly on any bounded interval of the real line.

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Riemann
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0 votes
0 answers
7 views

sensitivity of least squares solution subject to unit simplex constraint

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Anonny
  • 111
1 vote
1 answer
181 views

Blow-up of $P^1 \times P^1$ in a point

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Arctic Char
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0 votes
0 answers
16 views

Null Space of Infinite Dimensional Matrix

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fs98
  • 1
-2 votes
0 answers
25 views

Negativity of a function involving the logarithmic functions

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qifeng618
  • 2,188
4 votes
0 answers
73 views

How to prove that $\sum \limits_{k=1}^{n} \frac{(-1)^k}{k^2} \frac{\binom{2n}{n+k}}{\binom{2n}{n}} = -\frac{1}{2} \sum \limits_{k=1}^{n} k^{-2}$?

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Marko Riedel
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0 votes
2 answers
980 views

Restricting the range of a function

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N. F. Taussig
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-1 votes
1 answer
3k views

Find $\dfrac{dy}{dx}$ and $\dfrac{d^2y}{dx^2}$ at the given point without eliminating the parameter

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CommunityBot
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2 votes
2 answers
145 views

Is there a classification system where the sum of the digits are a factor?

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Aristotle
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23 votes
3 answers
1k views

Trigonometric Inequality. $\sin{1}+\sin{2}+\ldots+\sin{n} <2$ .

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mariko_mapmate
  • 11
0 votes
0 answers
26 views

$1/|x|$ interpreted as a distribution and Dirac delta distribution

eraldcoil's user avatar
eraldcoil
  • 3,860
2 votes
1 answer
76 views

Does the set $\{b^n - n \mid n \in \mathbb{N}\}$ always cover the complete residue system modulo a for any positive integers $a, b$?

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te4
  • 290
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0 answers
19 views

given the following limit equality, prove the following statement

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Tomás
  • 241
0 votes
1 answer
1k views

Finding volume of solid by cross sections?

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CommunityBot
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1 vote
1 answer
25 views

Examples of connected graphs that are hard to break (at least 3-connected) and have the following property

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eagle I
  • 142
2 votes
1 answer
46 views

Probability (or asymptotics) that $G_{n, p}$ is a forest?

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Misha Lavrov
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0 votes
0 answers
34 views

Computing $\pi_{n+1}(S^n)$ with Pontryagin's construction, why can we restrict to positive matrices?

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Siméon Lacherez
  • 1
0 votes
0 answers
14 views

Question on Einstein Notation for Distinct Expressions

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Alex Tudor
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2 votes
0 answers
26 views

A limit about a disk divided into strips and bars

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Dan
  • 33.8k
1 vote
0 answers
20 views

Existence of a harmonic function with prescribed partial derivative in $\mathbb{R}^3$

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user1289267
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2 votes
0 answers
47 views

An Inequality Conjecture in Harmonic Analysis

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skewray
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0 votes
1 answer
12k views

How to estimate a confidence interval on a box plot?

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CommunityBot
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1 vote
1 answer
55 views

Equivalence of two exact sequences for sheaves of modules

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Nick Sweeney
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0 votes
1 answer
25 views

Given 2 disjoint triangles in $\mathbb{R}^2$, there does not exist a matching that produces 3 non crossing lines

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user1172706
  • 2,308
1 vote
0 answers
24 views

Deforming Contour in Method Of Steepest Descent

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Arbuja
  • 95
3 votes
1 answer
303 views

Different complex structures of $\mathbb C^1$

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lou
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0 answers
28 views

Recurrence relation between $n^{-1}$ and $(n+1)^{-1}$ in GF(p)

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Arbuja
  • 95
7 votes
3 answers
5k views

Groups of Order 12 aren't Simple

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Kan't
  • 4,530
0 votes
0 answers
38 views

Finding the slant height of a triangular pyramid

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Arbuja
  • 95
1 vote
0 answers
34 views

Question about an application of Hopf-Rinow Theorem

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M.G.
  • 1,261
2 votes
1 answer
57 views

What is Sørensen–Dice coefficient formula for 3 sets?

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effovex
  • 11
1 vote
0 answers
73 views

Is it trivially true that $u\{0,1,\dots,f-1\}\equiv \{0,1,\dots,f-1\} \pmod{n+1}$ implies $u=1$?

Anne Bauval's user avatar
Anne Bauval
  • 47.9k
0 votes
1 answer
36 views

Can the fibration map be recovered from the mapping torus of the surface?

Lee Mosher's user avatar
Lee Mosher
  • 134k
1 vote
1 answer
10 views

$(X_t, Y_t, Z_t)$ be jointly i.i.d., will $(X_t, Y_t)$ be jointly i.i.d.?

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Alex Fu
  • 368
0 votes
1 answer
45 views

Continuity of an operator constructed from a continuous function

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Pantelis Tassopoulos
  • 846
1 vote
1 answer
52 views

Distribution of random sampling of a polynomial

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Bill Dubuque
  • 281k
1 vote
1 answer
65 views

Choiceless cardinal exponentiation

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Asaf Karagila♦
  • 405k
1 vote
2 answers
1k views

Multiplying eigenvalues with characteristic polynomial

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CommunityBot
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0 votes
1 answer
19 views

Quotient of direct sum of modules is direct sum of quotients? Quotient of free module is free over quotient ring?

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azif00
  • 22.5k
0 votes
1 answer
22 views

Calculation of certain morphism of affine schemes

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Jackozee Hakkiuz
  • 6,099
3 votes
2 answers
2k views

Name of "reverse convex hull"

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Eph
  • 131
1 vote
0 answers
65 views
+50

Open set condition and Hausdorff dimension

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Mths
  • 71
3 votes
1 answer
1k views

Prob. 6, Sec. 27, in Munkres' TOPOLOGY, 2nd ed: The Cantor's set is totally disconnected, compact, and uncountable

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0 votes
1 answer
19 views

Conditional expectation of a mixture distribution with measure zero event

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Ward Abdullah
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16 votes
2 answers
394 views

Two battalions of size $N$ shoot each other randomly, how many soldiers are left standing?

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mjqxxxx
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2 votes
0 answers
20 views

Constructing the Hecke Theta Function for a Number Field

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Laan Morse
  • 305
1 vote
0 answers
21 views

Justifying the interchange of limit and integral in a sequence involving a diffeomorphism with non-uniform determinant bounds

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Lsp
  • 21
1 vote
1 answer
38 views

Is every geodesic lamination on a hyperbolic surface orientable?

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Lee Mosher
  • 134k
1 vote
0 answers
27 views

Existence of a function in L1(G) whose Fourier transform never vanish

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user1139051
  • 11
1 vote
0 answers
31 views

Intuition on when and why algebraic manipulations work with operator equations

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kheer257
  • 855
0 votes
2 answers
1k views

Solving min-max equations

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CommunityBot
  • 1
-1 votes
0 answers
25 views

Riemannian metric on $P^n(\mathbb R)$ such that the natural projection $\pi : S^n \to P^n(\mathbb R)$ is a local isometry.

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Lee Mosher
  • 134k
1 vote
0 answers
69 views

Kirby Calculus on $E(n)\sharp \mathbb{C}P^2$

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MUT
  • 11
0 votes
0 answers
32 views

Decompose remainder in Taylors theorem into smooth functions

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Backfisch
  • 185
1 vote
1 answer
32 views

If $f_n$ converges locally uniformly to $f$ on open unit disc, does the difference quotient converge locally uniformly?

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RobPratt
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1 vote
0 answers
28 views

Finding a homotopy equivalence of a simply connected space to a wedge of spheres given half of a homotopy equivalence.

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Coffeeman
  • 307
0 votes
0 answers
39 views

Reference request: classification of non-trivial valuation rings of $K/k$ where $K$ is the function field of a smooth projective curve over $k$

Z Wu's user avatar
Z Wu
  • 2,089
10 votes
0 answers
931 views

Closed form solution of $\int_0^{\omega_t}\int_{\omega_t}^f\sin^2(\frac{\omega_{12}}2)\sin^2(\frac{\omega_{23}}2)d\omega_{23}d\omega_{12}$

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Integreek
  • 7,711
2 votes
3 answers
76 views

Proving directly that, for scalene $\triangle ABC$, the bisector of $\angle A$ and perpendicular bisector of $BC$ meet at a point on the circumcircle

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Nishant Kalonia
  • 345
1 vote
0 answers
31 views

Bounds for derivatives of smooth function

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HelloEveryone
  • 677
-1 votes
1 answer
410 views

If two matrices have the same irreducible minimal polynomial, then are they similar?

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Hola
  • 836
2 votes
2 answers
14k views

How to compute two's complement of a negative number?

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RokeJulianLockhart
  • 143
1 vote
1 answer
114 views

How to show that a convolution of function with the heat kernel can only improve its Holder regularity

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David Gao
  • 22.2k
14 votes
4 answers
1k views

Compute $\int_0^{\pi} \frac{\cos(nx)\cos(x) - \cos(nt)\cos(t)}{\cos(x) -\cos(t)}dt$

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Abd-Elouahab Moustapha
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