Mathematics Stack Exchange

0

votes

1

answer

18

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Question about Sigma Algebra generated by a Random Variable

probability-theory measure-theory

answered 1 min ago DodoDuQuercy 1,577

0

votes

0

answers

6

views

calculating coefficients of generating functions.

combinatorics

modified 2 mins ago lulu 54.3k

0

votes

2

answers

13

views

Finding the centre of a circle under a specific condition

circles

modified 2 mins ago SarGe 1,148

0

votes

0

answers

4

views

How to solve this system of linear equation?

systems-of-equations problem-solving fundamental-solution

asked 2 mins ago Laura 1

1

vote

1

answer

22

views

Proof of inequality by Muirhead

inequality contest-math solution-verification muirhead-inequality

modified 4 mins ago Michael Rozenberg 157k

-1

votes

0

answers

9

views

$Var(X^2)$, when $E(X)=0$ and $Cor(X)=1$

statistics variance covariance correlation

asked 6 mins ago zxc 131

0

votes

1

answer

18

views

Is this function, containing a cross product continuous?

calculus limits continuity cross-product

answered 6 mins ago sera 1,333

1

vote

1

answer

49

views

When does a cubic polynomial in three variables have finitely many solutions in positive integers?

elementary-number-theory polynomials diophantine-equations

modified 10 mins ago David Jones 11

1

vote

0

answers

13

views

A “round table” dependency

matrices correlation positive-definite rearrangement-inequality

modified 11 mins ago Tom Chen 2,932

0

votes

2

answers

30

views

Is there an efficient way to solve De Mere's puzzle?

probability proof-explanation

answered 12 mins ago bof 61.2k

0

votes

0

answers

9

views

Find the equation of a plane given point, parallel line and angle between plane and line

analytic-geometry

asked 12 mins ago Exzone 177

2

votes

2

answers

121

views

+50

Coordinate proof that the sum of a triangle's angles is $180^\circ$?

vectors euclidean-geometry triangles angle

answered 17 mins ago lonza leggiera 8,326

0

votes

1

answer

22

views

Can the step-functions be chosen monotonically?

real-analysis measure-theory convergence-divergence lp-spaces approximation

modified 18 mins ago user394334 404

0

votes

0

answers

12

views

Reverse Holder's inequality

random-variables expected-value maxima-minima holder-inequality

modified 19 mins ago user1868607 586

2

votes

2

answers

56

views

To prove that (as I believe) a particular pair of diophantine equations has no solutions in positive integers.

elementary-number-theory

modified 21 mins ago Tomita 629

0

votes

0

answers

37

views

Name for solid between two spherical coordinates

geometry

modified 22 mins ago Wouter 101

0

votes

0

answers

5

views

Doubt about orientation of differential manifolds (using gradient)

geometry differential-geometry differential-topology orientation

asked 22 mins ago Dorian 942

0

votes

1

answer

18

views

Bayes interpretation of regularization in linear regression

statistics summation machine-learning regularization

answered 22 mins ago Talal Alrawajfeh 1

0

votes

0

answers

17

views

Number of subsets $S \subset A_1 \cup A_2 \cup … A_n$ where $|S \cap A_i| = a_i$?

combinatorics discrete-mathematics binomial-coefficients closed-form

modified 24 mins ago Colin McDonagh 67

0

votes

0

answers

13

views

An $SL(3, \mathbb {C} )$ matrix not in $SU(3)$?

linear-algebra abstract-algebra

modified 24 mins ago user10354138 20k

0

votes

1

answer

19

views

Baire's Theorem with locally compact Hausdorff space

general-topology functional-analysis proof-explanation

answered 27 mins ago Kavi Rama Murthy 201k

4

votes

1

answer

220

views

Is it true that $ S(x)^2 \geq S'(x)\int_{-\infty}^{x}S(t) \, dt$, where $S(x) = A\gamma(x) + \gamma(x-C)$ and $\gamma$ is the standard Gaussian?

real-analysis probability analysis probability-theory

modified 28 mins ago Nikos Bagis 4,794

3

votes

1

answer

80

views

solution to a general integral $\int_0^\infty \frac{\cos(tx)}{x^2+k^2}e^{-sx}dx$

integration ordinary-differential-equations partial-differential-equations definite-integrals leibniz-integral-rule

answered 30 mins ago Jack D'Aurizio 319k

0

votes

0

answers

8

views

Minimize expression under non-linear inequality constraints

inequality optimization maxima-minima

asked 31 mins ago convex_optimizer 1

0

votes

0

answers

25

views

Self-similarity of the Cantor set

cantor-set

modified 31 mins ago jonne_k 5

0

votes

0

answers

25

views

Colouring vertices of a cube

combinatorics inclusion-exclusion

modified 36 mins ago Alejandro Bergasa Alonso 863

1

vote

0

answers

11

views

Universal morphism in the first isomorphism theorem for groups.

category-theory universal-property

asked 37 mins ago roi_saumon 2,388

0

votes

0

answers

5

views

integration of radial and potential term of spherical harmonic in Mathematica

mathematical-physics bessel-functions spherical-harmonics

asked 37 mins ago Sajad Ali 1

1

vote

0

answers

13

views

Projective graded modules

commutative-algebra modules homological-algebra projective-module graded-rings

asked 37 mins ago Silly 11

0

votes

0

answers

12

views

Decomposing a matrix into a product of 2 special matrices

linear-algebra matrices matrix-decomposition

asked 39 mins ago Gerome 109

0

votes

1

answer

13

views

Infection probability in a markovian complete graph

probability sequences-and-series probability-distributions network

modified 39 mins ago Alejandro Bergasa Alonso 863

0

votes

0

answers

3

views

PDE-Characterisation of Multiplicatively Separable Funcions

real-analysis multivariable-calculus partial-differential-equations nonlinear-analysis

asked 40 mins ago fsp-b 1

2

votes

0

answers

33

views

Finding $ \frac{d^n}{dx^n} f_1(x)$ from $\frac{d}{dx} f_{k-1}(x)=f_k(x)-f_{k-1}(x) f_1(x)$

calculus recursion

modified 40 mins ago Lisa 2,368

3

votes

0

answers

76

views

+150

Is $f(t)R(x;\sigma = 1)$ equivalent to $R(x; \sigma = f(t))$, where $R(x; \sigma)$ is a PDF with a single mode defined by $\sigma$?

probability probability-distributions

modified 41 mins ago Q.P. 133

0

votes

0

answers

29

views

Show that $f$ is differentiable at $a$ (in $\mathbb{R^n})$

analysis multivariable-calculus proof-writing

asked 43 mins ago Anıl Demirel 43

2

votes

0

answers

30

views

How do we show the triangle inequality for this distance function defined on $\mathbb{P}(\mathbb{R^n})$

metric-spaces projective-space triangle-inequality

modified 46 mins ago JustWandering 2,114

0

votes

0

answers

18

views

Limit probability for product of RVs smaller than constant tending toward lower bound of support

probability limits products

modified 48 mins ago FZS 76

0

votes

0

answers

17

views

Cantor Set and its elements

solution-verification cantor-set

modified 48 mins ago Rodrigo de Azevedo 15.6k

0

votes

0

answers

27

views

Consider the space of functions real analytic on a complex strip. Is the subspace which consists of functions vanishing at an endpoint Banach?

complex-analysis functional-analysis

modified 50 mins ago R Mary 1,562

1

vote

2

answers

34

views

Bolzano Weierstrass Theorem for General Metric Spaces

real-analysis metric-spaces

modified 52 mins ago Cardioid_Ass_22 1,886

2

votes

1

answer

85

views

Baby Rudin Ch. 5 Exercise 2: How does differentiability imply continuity at endpoints?

real-analysis proof-writing proof-explanation solution-verification

modified 55 mins ago Vivaan Daga 467

0

votes

0

answers

8

views

Further decomposition of anti-symmetric $O(N)$ tensor (in vector $\times$ vector decomposition)

representation-theory lie-algebras

modified 56 mins ago Kvothe 113

0

votes

0

answers

9

views

Poisson process with different rates

probability-distributions stochastic-processes poisson-distribution poisson-process

asked 1 hour ago Abood Al Assadi 1

0

votes

0

answers

31

views

Optimizing a multi-parameter quadratics solution set

calculus quadratics

modified 1 hour ago DDD4C4U 717

1

vote

1

answer

24

views

Problems implementing the Meissel-Lehmer method

number-theory numerical-methods prime-numbers

answered 1 hour ago DanaJ 2,577

0

votes

0

answers

17

views

optimising parameters in a chess engine

optimization partial-derivative gradient-descent

modified 1 hour ago YuiTo Cheng 4,517

2

votes

0

answers

27

views

How to show two Galois groups $G_1$ and $G_2$ are isomorphic to each other?

representation-theory galois-representations

modified 1 hour ago mathvision 5,762

1

vote

2

answers

28

views

Linear independence of the basis of $F/IF$

abstract-algebra vector-spaces modules

answered 1 hour ago egreg 204k

4

votes

0

answers

25

views

+50

Writing $\int_\Omega \nabla u^T M \nabla v$ in terms of $H^1$ inner product of $u$ with another function

linear-algebra matrices functional-analysis sobolev-spaces

modified 1 hour ago StopUsingFacebook 521

0

votes

1

answer

71

views

+50

How to prove that two probability measures are equal in the described scenario?

probability-theory measure-theory graph-theory percolation

modified 1 hour ago WoolierThanThou 8,867

-1

votes

1

answer

21

views

Prove that each partial sum of a convergent series of non-negative terms cannot exceed the sum of the series by elementary calculus

real-analysis calculus

modified 1 hour ago Steve 359

3

votes

0

answers

47

views

Efficiently testing for more zeros than ones in a binary code block

probability information-theory sampling-theory

modified 1 hour ago user6952886 239

1

vote

1

answer

45

views

Show that $\int_{0}^x \frac{1}{1+t^4} dt = x - x^5 + x^9 … $ where $\lvert x\rvert$ < 1

real-analysis calculus integration definite-integrals binomial-theorem

modified 1 hour ago Kavi Rama Murthy 201k

0

votes

0

answers

8

views

Is any relaxation for Max-Cut problem will give same lower bound?

optimization convex-optimization nonlinear-optimization relaxations

asked 1 hour ago Adar Cohen 33

0

votes

0

answers

5

views

Bound on derivatives of solution to a typical second-order linear parabolic PDE

partial-differential-equations linear-pde parabolic-pde

asked 1 hour ago Marco 494

0

votes

0

answers

30

views

+50

Graphical intuition behind general Taylor formula

taylor-expansion frechet-derivative

modified 1 hour ago Nameless 149

0

votes

0

answers

14

views

Which finite abelian groups contain the group of units of some integer as a direct summand?

abstract-algebra group-theory reference-request finite-groups abelian-groups

asked 1 hour ago asrxiiviii 396

9

votes

1

answer

351

views

Additional values of Dedekind's $\eta$ function in radical form

radicals modular-forms

modified 1 hour ago giuseppe mancò 770

0

votes

0

answers

14

views

Pricing Options of Log-Normal Claims Using Black's Formula

probability-theory probability-distributions finance

modified 1 hour ago Ramen 1,040

0

votes

0

answers

16

views

Special case of the Monodromy Theorem

complex-analysis analytic-continuation

asked 1 hour ago KK Wong 71

3

votes

1

answer

75

views

Minimum critical set size for Sudoku Pairs

combinatorics matrices latin-square sudoku

modified 1 hour ago Rodrigo de Azevedo 15.6k

1

vote

1

answer

14

views

General matrix decomposition

linear-algebra matrices linear-transformations matrix-decomposition matrix-rank

answered 1 hour ago Omnomnomnom 163k

3

votes

0

answers

137

views

What is the maximum number of Sudoku boards possible?

combinatorics matrices permutations sudoku

modified 1 hour ago Rodrigo de Azevedo 15.6k

3

votes

0

answers

44

views

Regularity for a Nonhomogeneous Heat Equation

partial-differential-equations heat-equation regularity-theory-of-pdes parabolic-pde

modified 2 hours ago SC2020 31

1

vote

0

answers

13

views

Homotopy between representations of compact group

representation-theory

asked 2 hours ago S. R 292

2

votes

1

answer

3k

views

solve the pde z=pq?

calculus partial-differential-equations

modified 2 hours ago Community♦ 1

0

votes

0

answers

10

views

Linear Intersection with Time Conversion

algebra-precalculus word-problem

modified 2 hours ago Martin Sleziak 51.2k

5

votes

0

answers

203

views

Second eigenvalue of a stochastic block matrix

matrices reference-request eigenvalues-eigenvectors block-matrices stochastic-matrices

modified 2 hours ago Rodrigo de Azevedo 15.6k

0

votes

0

answers

15

views

The nearest point of a curve to the certain point problem

calculus algebra-precalculus graphing-functions

asked 2 hours ago user516076 1,133

0

votes

0

answers

15

views

Cardinality of some special sets

calculus

modified 2 hours ago Henry 117k

1

vote

0

answers

13

views

Why $(A^n)^*\simeq A^n$ as representations of algebra $A$?

linear-algebra abstract-algebra representation-theory

asked 2 hours ago richrow 1,656

0

votes

0

answers

18

views

Sum of product of two combinations

combinatorics summation combinations binomial-coefficients

asked 2 hours ago JTSC 15

0

votes

0

answers

28

views

curve and topology

general-topology differential-geometry manifolds

modified 2 hours ago Si Kucing 4,705

0

votes

0

answers

20

views

Why is hypothesis of Tate's theorem is satisfied by Galois group of unramified extension of a local field?

algebraic-number-theory homology-cohomology group-cohomology class-field-theory

modified 2 hours ago Bernard 151k

1

vote

1

answer

83

views

I would like to find this paper in English

graph-theory trees translation-request

modified 2 hours ago Jean Marie 45.5k

0

votes

1

answer

1k

views

Jordan normal form for complex matrices

linear-algebra matrices jordan-normal-form

modified 2 hours ago Rodrigo de Azevedo 15.6k

0

votes

0

answers

8

views

Is this equality about integral on dyadic product true?

integration tensor-products tensors greens-function greens-relations

modified 2 hours ago James A 1,173

0

votes

1

answer

25

views

Need to show that $e^{ikx}, -N \le k \le N$ is a basis of dimension $2N+1$.

linear-algebra vector-spaces

modified 2 hours ago mattos 3,179

1

vote

1

answer

20

views

Cumulant generating function of continuous uniform distribution

probability probability-distributions uniform-distribution cumulants

answered 2 hours ago VincentN 75

2

votes

0

answers

16

views

A concrete definition of generalized quaternion group?

abstract-algebra group-theory quaternions

asked 2 hours ago ashpool 5,005

0

votes

1

answer

57

views

N box, each has k seeds, but total only m “good” seeds. What is probability that there is at least 1 box which has at least t “good” seed

probability combinatorics discrete-mathematics

modified 2 hours ago user 15.9k

9

votes

2

answers

2k

views

Symmetrize eigenvectors of degenerate (repeated) eigenvalue

linear-algebra matrices eigenvalues-eigenvectors numerical-linear-algebra

modified 2 hours ago Rodrigo de Azevedo 15.6k

2

votes

1

answer

21

views

Counterexample to finiteness of KL divergence?

measure-theory probability-distributions examples-counterexamples absolute-continuity information-geometry

answered 2 hours ago Mees de Vries 22k

0

votes

0

answers

18

views

Is it true that in general $\operatorname{Gal}(K:\mathbb{Q}_p)\cong\operatorname{Gal}(k:\mathbb{F}_{p^f})$?

field-theory galois-theory extension-field p-adic-number-theory

asked 2 hours ago Redundant Aunt 10.3k

0

votes

0

answers

8

views

Is there a dual object for optimizing w.r.t a function and it's inverse? What is this called and where is it covered?

optimization duality-theorems dual-cone

modified 3 hours ago mathtick 137

2

votes

0

answers

15

views

Prüfer domains: searching for an intuitive approach

abstract-algebra commutative-algebra valuation-theory

modified 3 hours ago Bernard 151k

1

vote

0

answers

13

views

Definition of second cofactor of a matrix

linear-algebra matrices terminology determinant

modified 3 hours ago Rodrigo de Azevedo 15.6k

0

votes

0

answers

10

views

The asymptotic distribution of the independent poisson parameter.

probability asymptotics fisher-information

modified 3 hours ago Bernard 151k

0

votes

0

answers

11

views

Concatenate matrices (each matrix is a sum of two)

linear-algebra matrices

asked 3 hours ago Jang Lee 1

0

votes

0

answers

11

views

I need a form of analytical expression for a bimodal empirical distribution

probability functions probability-distributions

asked 3 hours ago cc88 1

0

votes

0

answers

6

views

Show that the perturbation of identity satisfies certain continuity and Lipschitz properties

geometry differential-geometry optimization

asked 3 hours ago 0xbadf00d 10.3k

5

votes

0

answers

134

views

Does $\phi(a)=n!$ have finitely many solutions in integers?

number-theory gamma-function totient-function

modified 3 hours ago Sil 9,035

0

votes

0

answers

6

views

Family of bijective transformations in shape optimization

geometry differential-geometry optimization

asked 3 hours ago 0xbadf00d 10.3k

1

vote

0

answers

19

views

Drunk Man 2D Random Walk Probability

probability combinatorics random-walk

asked 3 hours ago Sajid Rizvi 155

1

vote

0

answers

15

views

Solving Inverse Laplace Transform of the type: $\mathcal{L}^{-1}\left\{\left(-\frac{1}{s}\right)F\left(-\frac{1}{s}\right)\right\}\left(t\right)$

laplace-transform inverselaplace

modified 3 hours ago サボテン 11

5

votes

0

answers

28

views

Compute the fundamental group of $\mathbb{C}^*/\Gamma$, where $\Gamma=\{\varphi^n:\varphi(z)=4^nz,n\in\mathbb{Z}\}$

algebraic-topology solution-verification group-actions fundamental-groups

asked 5 hours ago WLOG 819

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