Mathematics Stack Exchange

0

votes

1

answer

23

views

Ergodic Transformation on $[0,1]^2$

measure-theory ergodic-theory

modified 1 min ago JCAA 4,758

0

votes

0

answers

3

views

Are powers of Hardy-Hilbert functions still Hardy-Hilbert?

complex-analysis convergence-divergence taylor-expansion hardy-spaces

asked 1 min ago Good Boy 832

0

votes

0

answers

2

views

Second order derivative of a chain rule (regarding reduction to canonical form)

multivariable-calculus partial-differential-equations

asked 1 min ago Jek Denys 67

0

votes

0

answers

3

views

Why is every “fractional” extension of $A$ of the form $A[U^{-1}]$?

abstract-algebra

asked 2 mins ago bart 71

1

vote

2

answers

23

views

Let $f$ be a differentiable function with $f ′(x) = 4$. If $f(0) = 2$, find $f(3)$.

integration

answered 3 mins ago Rhys Hughes 9,260

1

vote

0

answers

4

views

Find the angle that lets you make a bendy pipe

inverse kinematics

asked 4 mins ago John Porter 79

1

vote

0

answers

5

views

Comparing the cardinalities of generic $\mathbb{R}$s

logic set-theory axiom-of-choice descriptive-set-theory forcing

asked 5 mins ago Noah Schweber 169k

0

votes

0

answers

4

views

Characterization of the continuity of a linear map $u:A \subset E \to F$ defined in a subspace $A$ of an $LF-$space $E$

functional-analysis continuity topological-vector-spaces

asked 5 mins ago Victor Hugo 1,131

1

vote

2

answers

36

views

center of mass of a semi circular arc

integration physics

modified 8 mins ago Yves Daoust 177k

1

vote

1

answer

48

views

Primary decomposition of $\left ( x^2 - yz, xz -x \right )$

abstract-algebra commutative-algebra primary-decomposition

answered 9 mins ago user26857 41.9k

0

votes

0

answers

5

views

How to determine the coefficient $c_m$ in $ \sum_m^{\infty}c_me^{-\mu}\cos\theta=\sinh (\mu-\mu_b)\cos\theta$ on some surface $\mu=\mu(\theta)$

numerical-methods fourier-analysis fourier-series

asked 10 mins ago Yolbarsop 11

1

vote

0

answers

5

views

Practical algorithm to calculate power subgroup of a polycyclic group

group-theory algorithms gap solvable-groups computational-algebra

asked 10 mins ago sTertooy 5,337

0

votes

0

answers

7

views

Finding the Last Eigenvalue for a Matrix

linear-algebra

asked 13 mins ago Andy 1

1

vote

1

answer

13

views

The set of all [group/ring/module/etc.] structures on a cardinal number

abstract-algebra set-theory

answered 13 mins ago shibai 1,015

0

votes

0

answers

4

views

Give aCubic spline

numerical-methods

asked 14 mins ago عباس علي 1

1

vote

0

answers

32

views

How to reason about the smoothness of a function?

real-analysis smooth-functions

modified 15 mins ago AlexH 85

-2

votes

1

answer

17

views

how to calculate this problem please help me with steps

calculus algebra-precalculus analysis

answered 15 mins ago Alexey Burdin 4,172

0

votes

0

answers

8

views

You can prove that compacts in the weak topology are limited without the Eberlein-Šmulian theorem

functional-analysis weak-topology

asked 16 mins ago Ricardo Freire 1,480

0

votes

1

answer

35

views

Infinity of a subset of $\mathbb{N}$ and infinite dimensional algebraic extension of $\mathbb{F}_{p}$

abstract-algebra

modified 17 mins ago user26857 41.9k

0

votes

0

answers

6

views

Modeling with differential and difference equations

ordinary-differential-equations recurrence-relations mathematical-modeling

asked 19 mins ago mathematishan 35

2

votes

0

answers

9

views

Prove that biconditional cannot be expressed in terms of implication alone.

logic

asked 21 mins ago antrep1234 41

3

votes

1

answer

53

views

show that a ring $B$ is a UFD

abstract-algebra unique-factorization-domains

modified 21 mins ago user26857 41.9k

4

votes

0

answers

200

views

Sum involving incomplete beta functions

integration asymptotics special-functions hypergeometric-function beta-function

modified 21 mins ago ARWarrior 239

2

votes

0

answers

33

views

How to prove that $\mathbb{E}[R_n]=o(\sqrt{n})$

probability probability-theory

modified 26 mins ago BlueCharlie 116

1

vote

0

answers

27

views

Convergence of $\displaystyle\sum_{n=1}^{\infty}\frac{(2i)^{n}\cdot n!}{n^{n}}$

sequences-and-series complex-analysis convergence-divergence

asked 26 mins ago mvfs314 805

0

votes

1

answer

30

views

Uniform convergence of $\sum_{k=0}^{\infty}(-1)^k\frac{[\ln(1+x^2)]^k}{k!}$ on $\mathbb{R}$.

calculus sequences-and-series uniform-convergence

modified 28 mins ago RRL 68.3k

0

votes

0

answers

62

views

Why we cant solve $y''+y\sin(x)=0$

ordinary-differential-equations

modified 30 mins ago metamorphy 16.9k

0

votes

0

answers

8

views

Given $r_1$ alphas and $r_2$ betas, probability that the arrangement contains exactly $k$ runs of either kind is

probability combinatorics

asked 38 mins ago Shew 1,199

3

votes

3

answers

810

views

Cubic Spline Interpolation - Solve X from Y

polynomials interpolation cubic-equations spline

answered 39 mins ago Yves Daoust 177k

1

vote

1

answer

30

views

Given $n$, what is the largest $m$ such that $m^2\prod_{i=1}^n(p_i-2)+\prod_{i=1}^n(p_i-1)\le \prod_{i=0}^np_i$?

combinatorics elementary-number-theory prime-numbers

answered 41 mins ago Daniel Fischer♦ 186k

2

votes

1

answer

78

views

Prime ideals in quadratic ring $\mathbb{Z}[\sqrt{-5}]$

ring-theory

answered 41 mins ago Maestro13 1,471

0

votes

0

answers

21

views

Branch cut of square root

complex-analysis branch-cuts

asked 43 mins ago Daniel 69

-2

votes

1

answer

16

views

How to solve below multivariable integration?

calculus multivariable-calculus

answered 45 mins ago peek-a-boo 13.9k

1

vote

1

answer

11

views

find bound on condition number of matrix given matrix norm

linear-algebra condition-number

answered 47 mins ago user8675309 2,489

0

votes

0

answers

14

views

What is the notation for total number of rows in a matrix S?

matrices notation

asked 49 mins ago MeMa 11

0

votes

0

answers

44

views

+100

Question about convergence of a sum of integrals as mesh tends to $0$ using continuity

real-analysis calculus limits analysis measure-theory

modified 52 mins ago nomadicmathematician 5,879

1

vote

1

answer

16

views

How to make function that calculates the probability of two bugs will meet within 8s timesteps?

probability logic

modified 55 mins ago Kyky 968

1

vote

2

answers

37

views

Continuous case of the “ant on a rubber band” problem

ordinary-differential-equations

modified 59 mins ago heropup 81.4k

1

vote

0

answers

46

views

Classification of the generalised del Pezzo surfaces

algebraic-geometry complex-geometry surfaces projective-space

modified 1 hour ago diracula 819

2

votes

1

answer

30

views

Inequality involving integral and second derivative

calculus integration

modified 1 hour ago Jacky Chong 22k

0

votes

0

answers

12

views

Does function $f(x,y,z) = \frac{1}{||\mathbf{x}||}+\sin(x^2y)\cos(z-7)$ belong to space $L^k(B)$ for $k = 1, 2, 3, 4$?

integration norm lp-spaces

asked 1 hour ago Lauren Sin 385

7

votes

3

answers

2k

views

Firm Non Expansiveness in the Context of Proximal Mapping / Proximal Operators

multivariable-calculus convex-analysis convex-optimization fixed-point-theorems proximal-operators

modified 1 hour ago Community♦ 1

0

votes

0

answers

42

views

Volume of bounded sets of $\mathbb{R}^n$

real-analysis calculus multivariable-calculus volume supremum-and-infimum

modified 1 hour ago Paul Sinclair 27.8k

0

votes

0

answers

14

views

Haagerup norm on c * algebras

functional-analysis tensor-products tensors c-star-algebras von-neumann-algebras

modified 1 hour ago rkmath 433

1

vote

0

answers

38

views

Penrose steps in this mathematical joke relevant?

derivatives recreational-mathematics

asked 1 hour ago Bhaskar Vashishth 11.2k

1

vote

0

answers

8

views

Product of two functions in $H^1$( or $W^{1,2}$) is in $H^{\frac{1}{2}}$.

sobolev-spaces distribution-theory

asked 1 hour ago Lev Bahn 2,408

1

vote

1

answer

35

views

Find $\sum_{r=1}^{3n-1}{ (-1)^{r-1}r\over{3n \choose r}}$, if $n$ is even

sequences-and-series summation binomial-coefficients binomial-theorem

modified 1 hour ago Dr Zafar Ahmed DSc 21k

0

votes

0

answers

33

views

Some series representation/s of given function :

real-analysis sequences-and-series complex-analysis functional-analysis gamma-function

modified 1 hour ago Bambi 852

0

votes

1

answer

20

views

definability in structures with restricted classes of formulas

logic reference-request

answered 1 hour ago Noah Schweber 169k

0

votes

0

answers

11

views

Maximality in the family of $m \times n$ matrices with entries in $[0,x]$ such that the sum of neighbouring entries is $\le y$

linear-algebra combinatorics matrices number-theory

modified 1 hour ago D.W 1

2

votes

0

answers

79

views

Algebra vs. Geometry: understanding a quote by Michael Atiyah

abstract-algebra geometry soft-question math-history

modified 1 hour ago Arctic Char 2,366

0

votes

0

answers

10

views

If $T:C_c^{\infty}(K_j) \rightarrow \mathbb{C}$ is continuous then $T:(C_c^\infty(\Omega),\tau_S) \rightarrow \mathbb{C}$ is continuous

functional-analysis continuity topological-vector-spaces

modified 1 hour ago Victor Hugo 1,131

0

votes

0

answers

16

views

How do I go about solving Wave Equation in 4, 5D

partial-differential-equations solution-verification

modified 1 hour ago Aryadeva 24.4k

0

votes

1

answer

31

views

Questions on the proof of the strong law of large numbers

probability probability-theory probability-limit-theorems

modified 1 hour ago Angina Seng 140k

1

vote

0

answers

15

views

How to solve a Bernoulli ODE with an additional term?

ordinary-differential-equations partial-differential-equations

modified 1 hour ago halrankard 2,423

1

vote

0

answers

44

views

Brezis-Kato regularity argument - Some questions about Struwe's proof Part II

inequality partial-differential-equations calculus-of-variations regularity-theory-of-pdes

modified 2 hours ago Danilo Gregorin 1,877

1

vote

0

answers

10

views

Norm equivalences for Gaussian random functions (Cameron-Martin space)

functional-analysis measure-theory hilbert-spaces stochastic-integrals reproducing-kernel-hilbert-spaces

modified 2 hours ago ares 386

4

votes

1

answer

61

views

Define $X_n=\sum_{k=1}^n kx_k$ and $Y_n=\sum_{k=1}^n ky_k$. Prove that there exists an $n$ such that $X_n<Y_n$.

real-analysis measure-theory convergence-divergence

modified 2 hours ago Subhajit 399

0

votes

0

answers

12

views

Fisher's Information for a function of bernoulli distribution

binomial-distribution fisher-information

modified 2 hours ago Ahmed 1

9

votes

0

answers

48

views

Proof a 'well-known' result of Shimura on periods of modular forms

reference-request p-adic-number-theory modular-forms l-functions

modified 2 hours ago Arbutus 1,779

0

votes

0

answers

14

views

Does every equational theory have an independent equational axiomatization?

universal-algebra

asked 2 hours ago user107952 6,622

4

votes

0

answers

99

views

+50

Evaluating S depending upon following condition: Calculate the sum $S=\Sigma \Sigma \Sigma x_{i} x_{j} x_{k},$

sequences-and-series measure-theory summation solution-verification problem-solving

modified 2 hours ago Amartya Roy 1,538

4

votes

1

answer

51

views

Do these “exponentially convex” functions have a standard name?

real-analysis calculus reference-request convex-analysis terminology

answered 2 hours ago J.-E. Pin 27.1k

0

votes

0

answers

12

views

Classifying real (simple) Lie groups and Lie algebras of small dimension

reference-request lie-groups lie-algebras

asked 2 hours ago thewonderfulwizardofoz 137

0

votes

0

answers

13

views

Separation of variables partial differential eq.

partial-differential-equations

modified 2 hours ago Aryadeva 24.4k

0

votes

1

answer

25

views

Finding unknown constants

limits

answered 2 hours ago Bernard 152k

0

votes

0

answers

6

views

How can I find CNF of ( A and B or C ) and (B or not C) using Karnaugh map?

logic

asked 2 hours ago babak abdzadeh 1

0

votes

0

answers

15

views

Question about probability terminology

probability probability-theory graph-theory network

asked 2 hours ago John 3

1

vote

1

answer

38

views

Why are there $p+1$ solutions to a projective line over a finite field of order $p$

finite-fields elliptic-curves projective-space

modified 2 hours ago Kenta S 3,785

0

votes

1

answer

8

views

An exponential family of probability distributions have densities that are defined relative to a measure. What is a measure in this context?

measure-theory lebesgue-measure

answered 2 hours ago Oddly asymmetric 82

5

votes

2

answers

58

views

If the largest positive integer is n such that $\sqrt{n - 100} + \sqrt{n + 100}$ is a rational no. , find the value of $\sqrt{n - 1}$ .

number-theory elementary-number-theory problem-solving sums-of-squares

modified 2 hours ago Nikunj 5,904

0

votes

0

answers

10

views

Fitting a curve using gsl interpolation with smooth first derivative

curves interpolation

asked 2 hours ago cookie 21

1

vote

1

answer

45

views

Prove the series converges almost everywhere

real-analysis sequences-and-series measure-theory lebesgue-integral

modified 2 hours ago Oliver Diaz 7,275

3

votes

1

answer

36

views

Conjecturing that all AP-GP mixed sequences are the first derivatives of a pure GP

sequences-and-series derivatives

answered 2 hours ago Nikunj 5,904

2

votes

0

answers

36

views

Cartan Differentiable calculus. Show $g(x,y)= \frac{f(x)-f(y)}{x-y}$ is differentiable at $(x_{0},x_{0})$

derivatives banach-spaces differential

modified 2 hours ago Sebastian Bustos 45

0

votes

0

answers

3

views

Any explicit formula of the smoothness indicator used by Shu for WENO schemes?

numerical-methods

asked 3 hours ago Yuki.F 348

0

votes

0

answers

23

views

Inverse of the exponential of a bounded linear operator

functional-analysis banach-spaces

modified 3 hours ago Sebastian Bustos 45

0

votes

0

answers

15

views

Component gradient vectors of a function span normal space of submanifold

orthogonality submanifold

modified 3 hours ago DerivativesGuy 423

2

votes

1

answer

23

views

Sweedler Notation: $\eta\epsilon$ is the identity element of the convolution product

abstract-algebra solution-verification convolution hopf-algebras coalgebras

answered 3 hours ago Phi_24 757

1

vote

0

answers

17

views

Showing Gramian Matrix Positive Definite Using Outer Product

linear-algebra solution-verification positive-definite outer-product

modified 3 hours ago Ben Grossmann 165k

3

votes

1

answer

44

views

Comparison of $\sum_{n=0}^\infty a_nx^n$ and $\sum_{n=0}^\infty b_nx^n$ given $\lim_{n\to\infty}a_n/b_n=0$

real-analysis sequences-and-series convergence-divergence

answered 3 hours ago zhw. 89.4k

0

votes

0

answers

13

views

Change of measure

stochastic-calculus brownian-motion stochastic-analysis

asked 3 hours ago Soer 11

0

votes

0

answers

14

views

Which of Leo Königsberger's writings contain his structure theorem for Liouvillian extension fields?

abstract-algebra integration ordinary-differential-equations

asked 3 hours ago IV_ 2,682

0

votes

0

answers

10

views

To prove convexity for a linear fractional function under some conditions

convex-analysis convex-optimization non-convex-optimization linear-fractional-transformation

asked 3 hours ago Xiang Huo 1

0

votes

3

answers

61

views

Solve the system in $\mathbb{R}$

systems-of-equations

answered 3 hours ago Claude Leibovici 162k

1

vote

0

answers

8

views

Ordered Field with BW Property but not having LUB property

ordered-fields

modified 3 hours ago Saikat Goswami 81

1

vote

0

answers

10

views

Where the particularity of the eigenfunction associated to the first eigenvalue is used in this proof of the book by Gilbarg and Trudinger?

partial-differential-equations proof-explanation elliptic-equations

asked 3 hours ago George 2,453

2

votes

0

answers

28

views

Solution set condition and the forgetful functor $U:\textbf{Gr}\rightarrow\textbf{Set}$

category-theory adjoint-functors

asked 3 hours ago alf262 401

0

votes

1

answer

77

views

From a set of numbers, odds of a number being/not being selected when drawn randomly $x$ times

probability statistics

modified 3 hours ago Mohsen Shahriari 3,713

2

votes

0

answers

16

views

Why is numerical differentiation of neural network has a scaling of big O(w^2)?

machine-learning neural-networks

asked 3 hours ago jay_the_superman 21

25

votes

0

answers

264

views

An illusionist and his assistant are about to perform the following magic trick.

combinatorics graph-theory contest-math puzzle matching-theory

modified 4 hours ago Aqua 72.5k

4

votes

0

answers

54

views

Tic-tac-toe with one mark type

combinatorics combinatorial-game-theory

modified 4 hours ago pi66 7,027

0

votes

0

answers

3

views

Strongly orthogonal martingales and their Walsh and/or Haar expansions

complex-analysis reference-request martingales harmonic-analysis hardy-spaces

asked 4 hours ago user1 1,714

1

vote

0

answers

4

views

How to find the (co)variance matrix of a continuous multivariate distribution

stochastic-integrals covariance gaussian

asked 4 hours ago Iris 11

1

vote

0

answers

7

views

Update steps to minimize function of matrices

matrices optimization machine-learning regularization multiplicative-function

asked 4 hours ago Ccret 11

3

votes

0

answers

29

views

A theorem about sequences Cauchy in measure (Folland's Book)

real-analysis probability-theory measure-theory solution-verification

modified 5 hours ago FormulaWriter 281

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