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Interesting 14 Bountied Hot Week Month
1 vote
1 answer
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$ \int _{k_1}^{k_2}f(x)dx=f(r)(k_1-k_2)$

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Chicori
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2 votes
0 answers
41 views

Prove that the number of sign changes $\sim x^{3/4}$ (square-free integers)

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Maxime Jaccon
  • 5,539
2 votes
1 answer
198 views

integral inequality involving $\sup|f'|$

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Chicori
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0 votes
0 answers
9 views

Functor from the category of finitely generated modules of a bound quiver algebra to the category of finite-dimensional bound quiver representations

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Meier_Kreis
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142 votes
30 answers
60k views

Proofs of AM-GM inequality

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Chicori
  • 3,434
0 votes
2 answers
106 views

Direction cosines of a line

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Chicori
  • 3,434
3 votes
2 answers
751 views

Generating probability distribution function from continuous data

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0 votes
1 answer
87 views

Prove triangle $\triangle AED$ is isosceles if the tangents of point $P$ outside circle $ABC$ are drawn

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Chicori
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3 votes
1 answer
148 views

How to prove : $\{ (2+\sqrt3)^n\} = 1 -(2-\sqrt3)^n$

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Chicori
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1 vote
2 answers
121 views

Find the number of quadruples of non negative integers $(a,b,c,d)$ such that $105a + 70b + 42c + 30d = 2025$

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RobPratt
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7 votes
5 answers
317 views

Are there any other special mathematical definitions like $0! =1$ to ensure consistent and valid results?

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0 answers
6 views

similar to a classical geometry result

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2 votes
0 answers
101 views

Is there a good reason why regular n-gon geometry would appear in the zeroes of the Riemann zeta function?

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KReiser
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3 votes
3 answers
601 views

$f(x)$ is a cubic polynomial $f(k-1)f(k+1)<0$ is NOT true for any integer $k$. Find $f(8)$

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Chicori
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-1 votes
0 answers
60 views

$x^3 + y^3 + z^3 = 2$

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J. W. Tanner
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0 votes
0 answers
6 views

How to find a fibre metric associated with an Ehresmann Connection?

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Horned Sphere
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9 votes
2 answers
493 views

Existence of a Linear Recurrence Modulo $p$ with Period $p^2 - 1$

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Ambrose Rutherford
  • 31
0 votes
1 answer
47 views

Behaviour of sequence defined by recurrence

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Lucien Jaccon
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3 votes
1 answer
415 views

Acyclic Model Theorem

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John Palmieri
  • 9,586
0 votes
1 answer
82 views

Proof of uniformly continuity in "Introduction to Analysis" by Teiji Takagi.

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Paul Frost
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2 votes
2 answers
379 views

Pigeonhole principle based measure

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RobPratt
  • 52.5k
0 votes
1 answer
796 views

Prove that A ... is not diagonalizable

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Kernel Sanders
  • 2,447
1 vote
0 answers
24 views

field extensions of incomplete fields with regard to an absolute value (valuation)

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J. W. Tanner
  • 64.6k
3 votes
1 answer
189 views

Kinematics of gravity in a non uniform field

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138 Aspen
  • 1,442
3 votes
1 answer
131 views

How to prove that $n=7$

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Kernel Sanders
  • 2,447
22 votes
2 answers
20k views

Correspondence theorem for rings.

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Kernel Sanders
  • 2,447
2 votes
1 answer
826 views

How to write the following expression in index notation?

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1 vote
0 answers
24 views

Finite CW complexes that are infinite loop spaces

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0 votes
0 answers
7 views

Generalizing the Bellissard non-commutative approach for disordered systems to Hamiltonians of self-similar fractal graphs

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0 votes
1 answer
24 views

Why elements of a (Lie) algebra act on the algebra, in the adjoint representation?

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tkf
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5 votes
2 answers
242 views
+50

Minimum number of forbidden cells for a unique loop on $m \times n$ grid

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Maxime Jaccon
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0 votes
2 answers
828 views

Does a real, non-symmetric, non-negative definite matrix have a unique non-negative definite square root?

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3 votes
4 answers
304 views
+100

Prove $0 \le \sum\limits_{\mathrm{cyc}} \sin (x_1 + x_2) \le \sum\limits_{i=1}^5 \sin x_i$ for positives $\sum x_i = 2\pi$

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Li Kwok Keung
  • 5,438
2 votes
5 answers
124 views

Semicircle with tangent and perpendicular: prove that DE·BC = CD·R

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Dan
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1 vote
1 answer
125 views

Countable dimensional, completely metrizable, topological vector space is finite dimensional

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Ali Dursun
  • 499
0 votes
0 answers
6 views

Question about my conclusions from Poisson Point Processes axioms

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Mhafez
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9 votes
2 answers
343 views
+150

Sign of a double integral

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Ambrose Rutherford
  • 31
2 votes
1 answer
84 views

No periodic orbit using Bendixon's criteria

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Gonçalo
  • 16.6k
3 votes
0 answers
53 views

Bound on Jacobi field

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Zheng L.
  • 325
0 votes
1 answer
757 views

Levi-Civita and and Kronecker delta identity

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0 votes
0 answers
17 views

Formulas to find out the critical limit of decomposing numbers

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3 votes
0 answers
28 views

Fields for which all algebraic extensions are normal

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pmp
  • 550
1 vote
1 answer
21 views

A condition for strong resolvent convergence and the condition that $\mathcal{D}$ is a simultaneous core

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Bruno B
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2 votes
0 answers
70 views

Expected number of lattice points in a randomly inscribed triangle

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Maxime Jaccon
  • 5,539
0 votes
0 answers
21 views

Perturbation of linear recurrence

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0 votes
1 answer
767 views

Weibull Distribution

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8 votes
1 answer
2k views

What is the name for the third-order tensor of third-order partial derivatives?

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RobPratt
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3 votes
4 answers
208 views

Is there something missing with this simple geometry problem?

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stelios petrolekas
  • 137
1 vote
0 answers
25 views

Is a compact subspace of a quotient of a topological vector space contained in the image of a compact subspace of the original space?

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Elia Immanuel Auer
  • 4,980
3 votes
1 answer
901 views

Broken Line Regression

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1 vote
1 answer
68 views

Two definition of Inverse Ackermann Function

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masaki
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2 votes
2 answers
394 views

Is there a dense set of Lipschitz functions on the unit ball which all peak at the same point on the boundary?

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Ambrose Rutherford
  • 31
2 votes
1 answer
98 views

Restrictions of knight's tour on a "circular board"

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Misha Lavrov
  • 162k
20 votes
3 answers
6k views

Radon-Nikodym derivative of product measure

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RobPratt
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2 votes
2 answers
614 views

Burnside's Lemma and Stirling Numbers of the First Kind

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Shaun♦
  • 48.5k
0 votes
0 answers
24 views

Structure Theorem for finitely generated modules over PID Proof

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Desperate_housewife
  • 135
0 votes
0 answers
25 views

Vakil 6.5.J on decomposition of finite length modules

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Shash
  • 41
6 votes
3 answers
616 views

What is the smallest $20$ digit number with at least $13$ distinct prime factors?

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Simon Goater
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2 votes
1 answer
46 views

Do non-GNS representations of C*-algebras exist?

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David Gao
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1 vote
0 answers
48 views

Looking for authors/papers in GGT (or related areas) involving piecewise isometries, free group actions, and twisted Ihara zeta functions

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J. Zimmerman
  • 1,217
1 vote
0 answers
38 views

What are the idempotent algebras in $\mathcal{D}(R)$?

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Ben Steffan
  • 10.8k
3 votes
1 answer
783 views

How prove this inequality $a^3b+b^3c+c^3a+a^3b^3+b^3c^3+c^3a^3\le 6$

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2 votes
0 answers
65 views

Is there an error in this measure theory problem?

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Vulgar Mechanick
  • 1,059
3 votes
1 answer
76 views

Checking if the determinant of a quasi-tridiagonal matrix is nonzero

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Rodrigo de Azevedo
  • 23.6k
2 votes
2 answers
51 views

Can I move the lagrange multiplier to the other side?

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Nate Eldredge
  • 102k
0 votes
0 answers
20 views

Construction of trapezoid - inversion

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liloschx
  • 1
1 vote
2 answers
172 views

Hints on evaluating $\int_{0}^{k} x J_{n}^2(x) dx$

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Cognoscenti
  • 979
2 votes
0 answers
20 views

Setting of speed on the vortex sheet and its (possible) relation to the Rankine-Hugoniot condition

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A rural reader
  • 3,004
5 votes
1 answer
39 views

Step in Brezis' proof of chain rule for Sobolev spaces

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ktoi
  • 8,811
1 vote
1 answer
807 views

The Relationship Between the Area and Circumference of a Circle

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Sextus Empiricus
  • 1,370
6 votes
1 answer
122 views

How fast can I guarantee convergence on a compact interval?

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Nate Eldredge
  • 102k
2 votes
1 answer
27 views

Help understanding this Carter-Wegman proof on the lower bound of collisions in a hash family

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RobPratt
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2 votes
0 answers
39 views

Construction of family of manifolds in showing that homeomorphism problem of compact 4-manifolds is undecidable

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Adam Wang
  • 347
1 vote
1 answer
44 views

Beginning time of i-th excursions of Wiener process is a stopping time?

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John Dawkins
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5 votes
2 answers
242 views

How are left/right multiplication different from other group actions?

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Lee Mosher
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0 votes
1 answer
31 views

Is a set consisting of strings such that x is of prime length or x is of odd length regular? What about if x is prime length or x is even length?

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Nate Eldredge
  • 102k
2 votes
1 answer
762 views

Proof of positive homogeneity of risk measure

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CommunityBot
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1 vote
0 answers
157 views

uniqueness of fixed point using a non-linear function

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flikhamud45
  • 11
0 votes
0 answers
17 views

On symmetry of chain of prime ideals in Noetherian local domains

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zyy
  • 1,239
3 votes
2 answers
1k views

How to determine the outward normal vector of a face of a hexahedron if the orientation (CW or CCW) of vertices of the face is unknown

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3 votes
1 answer
40 views

Is the language {xyx, where x,y are arbitrary strings over {0,1}} a regular set?

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Lucien Jaccon
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0 answers
31 views

Find the maximum $f(c)$ such that: $\sum_{1\leq i<j\leq n}x_{ij}(a_i+a_j)\geq f(c)\sum_{1\leq i<j\leq n}(a_i+a_j)$

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Veronica Phan
  • 273
1 vote
1 answer
61 views

Test the convergence of a series arising from birth-death processes

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The Other Terry
  • 1,999
1 vote
0 answers
23 views

Stationary state in interacting particle systems

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user235410
  • 11
0 votes
0 answers
16 views

Right exactness of a certain functor on $S$-modules

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ondwats
  • 162
0 votes
0 answers
48 views

the sum $\sum_{j=k}^n{n\brack j}{j\brace k}x^j$

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DroneBetter
  • 715
11 votes
4 answers
454 views

Integral $\int_0^{1/\phi^2}\frac{\ln(1-x)}{x} dx $

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Quanto
  • 125k
1 vote
2 answers
104 views

Probability question Grimmett 1.8.19

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Henry
  • 172k
94 votes
9 answers
47k views

Choose a random number between $0$ and $1$ and record its value. Keep doing it until the sum of the numbers exceeds $1$. How many tries do we need?

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Letac Gérard
  • 4,033
0 votes
1 answer
374 views

Rotation slerp to unity quaternion

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J. Nolan Faught
  • 376
5 votes
0 answers
106 views

Convergence of conditional expectation related to martingale.

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Mr. Gandalf Sauron
  • 17.9k
0 votes
0 answers
24 views

The orbit of 1-parameter group generated by Killing field on compact Riemannian manifold

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XXX XU
  • 1
0 votes
1 answer
59 views

Reference request: The formal definition of equivalent optimization problems.

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Zoudelong
  • 1,903
3 votes
1 answer
93 views

Deducing the nature of critical points from implicit solution

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Gonçalo
  • 16.6k
6 votes
2 answers
125 views

Search for centers of generic sets of points (other then the centroid)

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Alma Arjuna
  • 7,038
2 votes
1 answer
66 views

Spectral measure associated with "translation by $z$" operator acting on $L^2(\mathbb{R})$

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Martin Argerami
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