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Interesting 36 Bountied Hot Week Month
1 vote
1 answer
47 views

Laurent expansion of $\frac{1}{z-a}$

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Davide Masi
  • 1,598
0 votes
0 answers
2 views

An integral as follows and express the solution using special functions.

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jc ricci
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18 votes
4 answers
5k views

Why not define 'limits' to include isolated points?

WillG's user avatar
WillG
  • 7,013
0 votes
0 answers
5 views

Do the factors reverse order when taking the Hermitian adjoint of the gauge covariant derivative, $D_\mu\phi=(\partial_\mu+igA_\mu)\phi$?

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user475550
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0 votes
0 answers
10 views

Are there non-rational algebraic numbers a, b such that a raised to b is rational?

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Dzung55
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1 vote
1 answer
42 views

Inequality for the Gaussian binomial coefficient

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Igor Turkin
  • 29
0 votes
1 answer
30 views

Operator matrix representation

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ASlateff
  • 302
0 votes
0 answers
15 views

Prove that $||u||_{L^p(B_3\backslash\bar{B}_1)}\le C||\phi\nabla u||_{L^p(B_3\backslash\bar{B}_1)}+C||u||_{L^p(B_3\backslash\bar{B}_2)}$.

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save123
  • 331
0 votes
0 answers
4 views

Random variable indicator function proof

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user1540464
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0 votes
0 answers
44 views

Does K[X] = K[Y]?

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IsAdisplayName
  • 1,978
3 votes
1 answer
43 views
+100

Standard order for monomials in infinitely many variables?

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Smiley1000
  • 3,602
0 votes
0 answers
17 views

Can you arrange n points (no three are colinear) on a plane such that the pairwise distances are all distinct?

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jeff
  • 63
6 votes
4 answers
1k views

Why defining tangent bundle?

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Alex Jones
  • 9,658
1 vote
5 answers
2k views

Water leaking from box and the relationship of volume and height.

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CommunityBot
  • 1
12 votes
2 answers
446 views

Order in writing composed morphisms

Martin Brandenburg's user avatar
Martin Brandenburg
  • 177k
6 votes
0 answers
32 views

How to evaluate integral $\int_0^\infty \frac {t \arctan^2 t}{1+t^4}dt$

Ace's user avatar
Ace
  • 1,566
0 votes
0 answers
17 views

area of an convex octagon

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Taylor Fang
  • 479
17 votes
1 answer
411 views

Patterns in the minimal polynomial of sum of square roots

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dan_fulea
  • 36.9k
45 votes
2 answers
33k views

Generalized Rotation Matrix in $N$-Dimensional Space Around $N-2$ Unit Vector

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krm2233
  • 6,777
1 vote
1 answer
78 views

Numbers with prime factors $p\equiv \pm1\pmod n$ for $n$ prime

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Thomas Andrews
  • 181k
2 votes
0 answers
92 views
+50

Unnecessary assumptions in Proposition 3.28 of Bridson and Haefliger's book Metric Spaces of Non-positive Curvature

Tim 's user avatar
Tim
  • 63
5 votes
1 answer
49 views

Show that if $p$ is a prime dividing $1-5^n+5^{2n}-5^{3n}+5^{4n}$, then $p\equiv 1 \pmod{4}$

quasi's user avatar
quasi
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0 votes
0 answers
21 views

Theorem 2.4 of Qing Liu's Algebraic Geometry and Arithmetic Curves: on flatness of $A$-modules

Joe's user avatar
Joe
  • 22k
1 vote
1 answer
162 views

Why care about excluded values of rational expressions when in lowest terms?

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Dan Sanderson
  • 101
2 votes
0 answers
9 views

Relationship Between Uniform Spacings and Normalized Exponential Variables

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Kaustav Choubey
  • 127
2 votes
1 answer
35 views

Rational functions in two variables are not rational functions in one variable

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Qiaochu Yuan
  • 449k
2 votes
0 answers
48 views

Extending maps over simplicies nullhomotopy

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Martin Brandenburg
  • 177k
12 votes
1 answer
451 views

Is Hilbert's epsilon calculus a conservative extension of intuitionist logic?

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Jade Vanadium
  • 4,624
0 votes
0 answers
12 views

Exactness of the direct image functor on sheaves

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A.D.
  • 171
1 vote
0 answers
12 views

Laplace Approximation on Riemannian Manifold

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Simon Segert
  • 5,577
1 vote
0 answers
13 views

Can an everywhere surjective function, whose graph has zero Hausdorff measure in its dimension, be "hyper-discontinuous"?

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Arbuja
  • 113
2 votes
0 answers
7 views

Any softwares that can give the condition for some polynomial system to have certain real solutions (with multiplicity?) without explicitly solving it

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user688486
  • 431
5 votes
2 answers
61 views

Showing $\frac{1}{\sqrt{1+x^2}-x}+\frac{1}{\sqrt{1+y^2}-y}+\frac{1}{\sqrt{1+z^2}-z} \leq \frac{1}{xyz}$, for positive $x$, $y$, $z$

Addict's user avatar
Addict
  • 389
3 votes
1 answer
43 views

How to prove inequality regarding maximum value of second derivative of a non-negative function?

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Mittens
  • 42.9k
6 votes
2 answers
4k views

Does the covariance matrix of a multivariate normal distribution have to be positive definite?

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CommunityBot
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2 votes
0 answers
255 views

A description of the Cantor set, Sierpinski carpet, and Menger sponge.

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DaPlumer
  • 31
1 vote
0 answers
17 views

Find volume of solid bounded by planes, $z = x, x+z =8, y=z,y=8 \,\&\, z=0$

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Nate
  • 326
2 votes
2 answers
37 views

Why can't modus ponens derive all entailed literals in a horn clause system?

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Tankut Beygu
  • 3,507
-1 votes
0 answers
17 views

Looking for reference that say series parallel graph does not contain wheatstone graph

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Misha Lavrov
  • 151k
1 vote
0 answers
15 views

Question about prime factorization and the ratio of the product of two numbers to their sum

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Eric
  • 181
-1 votes
1 answer
20 views

Ellipses external tangency

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Intelligenti pauca
  • 54.5k
2 votes
0 answers
6 views

Central force with proportional to distance and Hamilton-Jacobi equation

abd 01's user avatar
abd 01
  • 21
3 votes
1 answer
195 views

What is the geometric intuition behind $A^{-1} = (\det A)^{-1} \begin{bmatrix}d & -b \\ -c & a\end{bmatrix}$?

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blargoner
  • 3,412
1 vote
0 answers
14 views

Standard Integrals for Spherical Harmonic Functions

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benchmuser
  • 73
1 vote
2 answers
36 views

Geometric interpretation of eigenvector centrality/PageRank

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tvg
  • 111
1 vote
0 answers
13 views

Issue in proof of n-decidability

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R. Reed
  • 346
5 votes
0 answers
86 views

Is there a measure for how discontinuous is a given function?

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Mittens
  • 42.9k
3 votes
0 answers
14 views

Generalization of a result on Stacks Project regarding Coherent Graded Modules

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user1515097
  • 109
-1 votes
0 answers
23 views

Correspondence of principle ideals between ring and its localization

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Rellw
  • 113
1 vote
0 answers
15 views

Let be $u(x,y)=x^3-kxy^2+12xy-12x$. For which $k\in \mathbb{R}$ does exist a function $v(x,y)$ such that $f=u+iv$ is holomorphic?

Sigma Algebra's user avatar
Sigma Algebra
  • 1,657
6 votes
0 answers
102 views

Expected number of pairs in a hand

RobPratt's user avatar
RobPratt
  • 49.5k
2 votes
1 answer
28 views

Bound for $L(\sigma+it,\chi)$ when $\sigma\geqslant 1/2$

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Peter Humphries
  • 3,763
1 vote
0 answers
26 views

ZF Axioms, logical structures, relations, and proof

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flukenc
  • 11
2 votes
0 answers
20 views

Constructing non-split extension of Banach spaces with almost linear maps

RobPratt's user avatar
RobPratt
  • 49.5k
1 vote
0 answers
21 views

Partial fractions: Equate coefficients or substitute simple values for $x$? When to do which?

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SRobertJames
  • 5,651
1 vote
0 answers
35 views

Minimize $\sum_{i=1}^{n}\left(\left\|x_i-\hat{x}\right\|-\alpha\right)^2$ for fixed $\alpha\ge 0$; is this problem known and is it solvable?

cgmil's user avatar
cgmil
  • 1,365
0 votes
0 answers
20 views

Calculate max distance in an undirected graph for an aerial drone

RobPratt's user avatar
RobPratt
  • 49.5k
3 votes
1 answer
78 views

How to analytically solve a summation?

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DaPlumer
  • 31
1 vote
0 answers
22 views

A test question possibly related with Vieta's formulas

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Jamai-Con
  • 577
26 votes
1 answer
659 views

Limit of a Recurrence Relation $\lim_{n \to \infty} \frac{1}{n^2}\sum_{k=1}^{n}\prod_{j=k}^{n}a_j$

Math's user avatar
Math
  • 347
2 votes
0 answers
16 views

Help on finding image of linear transformation from a polynomial vector space

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Rummannkurz
  • 91
2 votes
1 answer
44 views

Algebra vs. ring that is a vector space

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Sassatelli Giulio
  • 849
1 vote
0 answers
21 views

Proof of the complex version of De l'Hospital theorem

Sigma Algebra's user avatar
Sigma Algebra
  • 1,657
1 vote
1 answer
29 views

Find all entire functions such that $Re(f)=1+2x^2+x^3-2y^2-3xy^2$

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jjagmath
  • 20.5k
2 votes
0 answers
30 views
+50

Characterization of $W^{1,p}$ Proposition 9.3 Brezis Proposition 9.3

Math_Day's user avatar
Math_Day
  • 1,481
0 votes
0 answers
40 views

An exceedingly difficult problem about the game of Krypto

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Nico Zaczkowski
  • 943
6 votes
1 answer
199 views

Integration of $\int^\infty_0\frac{1}{1+\left(x^2+b^2\right)^\mu}dx$

Mariusz Iwaniuk's user avatar
Mariusz Iwaniuk
  • 5,301
9 votes
1 answer
273 views

Picking the "correct" square root of $-1$ in a finite field (Project Euler 18i)

Jyrki Lahtonen's user avatar
Jyrki Lahtonen
  • 138k
1 vote
0 answers
19 views

Matrix of a certain form similar to a diagonal matrix

Markus's user avatar
Markus
  • 2,489
1 vote
0 answers
24 views

Finite groups isomorphic to subgroup of $SO(k)$

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Jael Munõz
  • 11
1 vote
1 answer
52 views

Limits of integral over a region after substitution

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user170231
  • 22.9k
4 votes
3 answers
166 views

How to nicely show that the recursive sequence $y_{n+1}=\frac{1}{2}y_n+ \frac{(-1)^n}{n}$, $y_1=0$ converges?

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Markus Scheuer
  • 111k
0 votes
0 answers
8 views

How to prove that that $u_0\left(\Phi^{-t}(x)\right)$ actually defines a solution to the given advection equation?

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EngineerMathlover
  • 199
6 votes
1 answer
69 views

Constraints under which collections of position vectors are never confusable with others, given only access to scalar products in certain directions.

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KesterKester
  • 467
0 votes
0 answers
24 views

Involutive distribution condition on forms (from Hicks "Notes on Differential Geometry")

Yly's user avatar
Yly
  • 15.6k
2 votes
1 answer
25 views

Tensor product of trace-class operators

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Frederik vom Ende
  • 4,965
4 votes
0 answers
130 views
+500

The problem with the chain of zeros

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Dmitry
  • 1,091
1 vote
0 answers
19 views

Extra invertible element of the group ring of the cyclic group of order 5 and the Rogers-Ramanujan identity

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მამუკა ჯიბლაძე
  • 1,699
0 votes
0 answers
28 views

Polynomials with a given discriminant

Oisín Robinson's user avatar
Oisín Robinson
  • 320
0 votes
0 answers
22 views

Some minimization problems related to optimal control

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Siva
  • 393
1 vote
0 answers
23 views

Is this a valid method for evaluating a divergent integral using Hadamard regularization?

Steven Clark's user avatar
Steven Clark
  • 8,392
0 votes
0 answers
12 views

trace and bivariate forms

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LrM
  • 143
5 votes
4 answers
2k views

Why does the natural ring homomorphism induce a surjective group homomorphism of units?

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Bill Dubuque
  • 279k
1 vote
0 answers
16 views

Uniform solution for transition layer

Michael's user avatar
Michael
  • 401
-1 votes
2 answers
45 views

Math geometry-triangle

user1528108's user avatar
user1528108
  • 611
2 votes
0 answers
27 views

Pesky knots and shoelaces

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Jh334
  • 21
0 votes
0 answers
25 views

Searching parametrization of an specific curve

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Tabes Bridges
  • 3,798
1 vote
0 answers
12 views

Hyperbolic triangle with its orthocenter on the circumcircle

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HyperWillie
  • 11
1 vote
0 answers
32 views

Comparing $\operatorname*{Aut}(k^s/k)$ with $\operatorname*{Aut}(\bar{k}/k)$

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Baritt
  • 11
0 votes
1 answer
52 views

Calculation of Laplacian

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Ben Grossmann
  • 231k
1 vote
0 answers
16 views

Lower-bound on estimation-error bound in empirical-risk minimization

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Tobias
  • 33
1 vote
0 answers
42 views

Convergence of $\int_0^\infty K_0 \left( \left( r^2+\rho^2+2r\rho\cos\alpha \right)^{\frac{1}{2}} \right) K_{i\nu} (r) \, r^{-1}\, \mathrm{d}r$

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Siegfriedenberghofen
  • 427
-1 votes
0 answers
27 views

Non-homogenous recurrence

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Oliver Bukovianský
  • 93
4 votes
1 answer
150 views

What is the Fourier transform of $\text{csch}^2(t)$?

Steven Clark's user avatar
Steven Clark
  • 8,392
-2 votes
0 answers
38 views

Prove $f(-1/n) \leq 2^{n+1}-1$ when $|f(x)|\leq 1$ for $x \in [0,1]$ for a polynomial f of degree n.

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Isomorphism
  • 5,876
0 votes
1 answer
1k views

Linear Algebra - Two Vectors given, check if b is in Span of two vectors?

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