Mathematics Stack Exchange

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5

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Question about getting a formula for a recurrence relations

discrete-mathematics recurrence-relations generating-functions recursion

asked 3 mins ago Banana Blitz Coding 11

0

votes

0

answers

6

views

Digits of pi using rudimentary math and tools

pi

asked 4 mins ago nuggethead 101

0

votes

1

answer

18

views

Continuous function with no max in closed and bounded set

real-analysis metric-spaces

modified 9 mins ago Peter21 3

0

votes

1

answer

62

views

Calculating the area between three tangent circles of unit radius, and using the result to show $\pi^2<12$

geometry

modified 10 mins ago Oscar Lanzi 25.4k

0

votes

1

answer

8

views

Variance of Categorical Distribution?

probability-distributions

answered 11 mins ago Clement C. 62.2k

2

votes

1

answer

53

views

A few questions regarding differential 1-forms

differential-geometry

modified 14 mins ago Seth 41

0

votes

0

answers

12

views

Has this formula been discovered before? $\frac{d^n}{dx^n}ax^{-b}=a(-1)^n\frac{(b+n-1)!}{(b-1)!}x^{-b-n}$, given

calculus solution-verification

asked 14 mins ago Patrick Van Hoven 1

1

vote

1

answer

133

views

+50

How to prov e that $\frac {\pi^2}{ \sin(\pi z)^2 } = \sum_{n=-\infty , n\neq 0 }^{n=\infty} 1/ (z-n)^2 $

complex-analysis problem-solving

modified 20 mins ago arthur 4,025

0

votes

0

answers

19

views

How to treat base cases in Fibonacci proof by strong induction

proof-writing solution-verification proof-explanation induction

modified 23 mins ago Lucas Peres 433

3

votes

1

answer

58

views

Find the ratio of the area of the original triangle to the area of the equilateral triangle at Gergonne point

geometry analytic-geometry

answered 26 mins ago Wilson Massaro 195

0

votes

1

answer

12

views

Difference of two distributions

functional-analysis distribution-theory cauchy-principal-value

answered 28 mins ago inflaton1 71

1

vote

2

answers

43

views

Are not the real numbers a concrete category?

category-theory

modified 32 mins ago Jonas Frey 563

1

vote

2

answers

2k

views

Probability that length of Randomly chosen chord of a circle

probability algebra-precalculus analytic-geometry circles

modified 33 mins ago Community♦ 1

1

vote

2

answers

39

views

X=(Y-A)(Z+B) is it possible to figure X,Y, and Z if only A and B are known

algebra-precalculus systems-of-equations arithmetic

answered 34 mins ago steven gregory 25k

0

votes

0

answers

12

views

How to determine two discrete functions are the same

abstract-algebra functions

asked 37 mins ago 赵子宇 1

0

votes

0

answers

10

views

Borel measure taking finitely many values

measure-theory lebesgue-measure borel-sets borel-measures

asked 44 mins ago Sudheesh Surendranath 560

2

votes

0

answers

48

views

Why do mathematical duals occur?

duality-theorems

modified 45 mins ago profPlum 193

0

votes

0

answers

14

views

Prove vector area formula by stokes's theorem

differential-geometry vector-analysis exterior-algebra stokes-theorem

asked 46 mins ago Hao Huang 23

1

vote

0

answers

10

views

Why can't I find P(A and B) by P(A)*P(B) on contingency table?

probability statistics

asked 47 mins ago math 11

0

votes

0

answers

36

views

Let $(s_n)$ be a sequence with $s_n = \frac{x_1 + x_2 + \ldots + x_n}{n}$.Show that if $(x_n)$ is converges to $x$, then also $(s_n)$ is.

sequences-and-series convergence-divergence

modified 51 mins ago Dan Asimov 494

1

vote

0

answers

12

views

Matrix product of Direct sums: $\left(\oplus A \right) \left(\oplus B \right)$

linear-algebra matrices direct-sum

modified 52 mins ago Iced Palmer 595

-1

votes

1

answer

29

views

Need help to solve limits question (differential calculus)

calculus limits

answered 54 mins ago Mohammad Riazi-Kermani 65.8k

-1

votes

0

answers

32

views

system of liner equations

calculus linear-algebra algebra-precalculus linear-transformations

modified 55 mins ago boojum 1,288

2

votes

0

answers

433

views

+50

Entropy of Gumbel-Softmax/Concrete Distribution, In particular the binomial case?

integration probability-distributions definite-integrals entropy neural-networks

modified 1 hour ago user27886 113

1

vote

0

answers

28

views

Remiander except 0

computer-science

modified 1 hour ago Rob Arthan 40.9k

-1

votes

0

answers

7

views

Example of Kahler manfold of certain properties

complex-geometry kahler-manifolds

asked 1 hour ago Lamda8 931

0

votes

1

answer

13

views

bayes probability for consecutive tests

bayesian

answered 1 hour ago Graham Kemp 115k

1

vote

0

answers

23

views

Tower of Hanoi - First Move

algorithms computational-complexity recursion recursive-algorithms

asked 1 hour ago KevL 11

1

vote

1

answer

46

views

Why is Hausdorff needed here?

general-topology product-space

modified 1 hour ago Saucy O'Path 9,889

2

votes

1

answer

21

views

Eigenvector matrix times diagonal matrix equals original matrix times eigenvector matrix?

linear-algebra eigenvalues-eigenvectors

modified 1 hour ago user774633 135

0

votes

0

answers

10

views

Characterization of T-indecomposable vector space

linear-algebra minimal-polynomials primary-decomposition cyclic-decomposition

modified 1 hour ago Chess 29

0

votes

0

answers

11

views

Extending the following 'curvature' condition on loss functions

probability-theory statistics machine-learning

asked 1 hour ago WeakLearner 4,077

4

votes

1

answer

42

views

Given a continuous map, prove the induced topology is equal to the relative topology of $S^1$

real-analysis general-topology

modified 1 hour ago Paul Frost 48.8k

0

votes

0

answers

14

views

PDF of such complicated expression

probability-distributions density-function exponential-distribution

asked 1 hour ago paru 45

4

votes

2

answers

38

views

Let $G$ be a group of order $n$ where every non identity element is of order $2$. Then, ${\rm Aut}(G) $ is isomorphic to $S_{n-1}$

abstract-algebra group-theory abelian-groups symmetric-groups automorphism-group

modified 1 hour ago Rob Arthan 40.9k

0

votes

0

answers

7

views

No vector can be a generalized eigenvector corresponding to different eigenvalues of the same operator

linear-algebra

asked 1 hour ago Max 1

0

votes

0

answers

8

views

Kahler differentials of quotient field of regular local ring

commutative-algebra

asked 1 hour ago coolpenguin 67

2

votes

0

answers

19

views

Specific matrix decomposition

linear-algebra matrices

modified 1 hour ago Youem 3,804

1

vote

1

answer

24

views

Can we treat proper classes in a well-defined way that has them behave as ordinal numbers?

set-theory cardinals ordinals large-cardinals surreal-numbers

answered 1 hour ago Mark S. 20.3k

9

votes

1

answer

1k

views

Is there a Sokoban level with such conditions

proof-writing algorithms game-theory proof-theory algorithmic-game-theory

answered 1 hour ago sokoban 1

0

votes

0

answers

15

views

What is the functional interpretation of the Eigen vectors in PCA?

linear-algebra svd

modified 1 hour ago profPlum 193

-1

votes

1

answer

37

views

How do I solve the ODE $y′ = (2x + 4y + 5)^2$?

ordinary-differential-equations

answered 1 hour ago Vasya 6,783

2

votes

0

answers

20

views

Change of two normal coordinates based on two nearby points?

differential-geometry riemannian-geometry connections principal-bundles tangent-bundle

modified 2 hours ago Dreamer 1,461

1

vote

1

answer

36

views

Calculate distribution of $Y$ random variable

probability probability-distributions solution-verification normal-distribution

modified 2 hours ago Bayesian guy 357

1

vote

1

answer

26

views

Differential equation for a vector potential

vector-fields potential-theory electromagnetism

answered 2 hours ago user135626 1,099

0

votes

0

answers

10

views

Find the $min_{v\in V}p(v,w) \forall w \in G$, where $p(v,w)$ is the shortest path between $w \to v$

graph-theory

asked 2 hours ago Avra 904

0

votes

1

answer

15

views

Given two 3D points A(x1, y1, z1) and B(x2, y2, z2). Find the four vertices of a square plane which is perpendicular to line AB and centered at A

3d

answered 2 hours ago Connor Harris 6,336

0

votes

1

answer

10

views

Find measure of $\mu(\mathbb{Q} \cup [0, 1])$ on half-opened intervals semiring.

measure-theory solution-verification

answered 2 hours ago Kavi Rama Murthy 276k

0

votes

0

answers

12

views

How to Find $u(x,y)$ for the PDE $u_x + 2u_y + (2x − y)u = 2x^2 + 3xy − 2y^2$ using Method of Characteristics?

characteristics

modified 2 hours ago Germania 137

0

votes

0

answers

9

views

Upper bound on the Mahalanobis distance

linear-algebra statistics matrix-norms

asked 2 hours ago susami1996 171

0

votes

2

answers

26

views

Trouble simplifying an equation

algorithms induction

answered 2 hours ago fleablood 116k

1

vote

2

answers

20

views

How to find the value(s) of a and b such that the following system of equations...

matrices systems-of-equations

answered 2 hours ago lone student 7,530

0

votes

1

answer

9

views

Partial differentiation of a function of three variable written in terms of a function of two variables.

multivariable-calculus derivatives partial-derivative

answered 2 hours ago ConMan 11.1k

1

vote

1

answer

6

views

Calculation of successive discount percentage

percentages

answered 2 hours ago Gareth Ma 486

1

vote

1

answer

33

views

Let $V$ be a finite vector space over $K$ and $X:=\{\bar{x}=(x_1,\ldots,x_{n+1})\in V^{n+1} : (x_1,\ldots,x_{n})\in \mathcal{B}$. Then…

group-theory group-actions general-linear-group

modified 2 hours ago march 391

0

votes

1

answer

17

views

Get CDF from 2 variable PDF

probability probability-distributions

answered 2 hours ago Átila Correia 520

2

votes

0

answers

35

views

"Let m $\in N$ s.t $m = 2s$, where s is an odd integer. Prove that there do not exist positive integers x and y such that $x^{2} − y^{2} = m$."

number-theory proof-writing solution-verification

modified 2 hours ago a a 51

2

votes

0

answers

16

views

If $H$ is a connected subgraph of $G$ show that $T(H)\le T(G)$.

combinatorics graph-theory combinatorial-proofs

modified 2 hours ago Mike Earnest 48.8k

2

votes

1

answer

37

views

Is this topology problem correct?

general-topology product-space

answered 2 hours ago Theo Bendit 37.9k

1

vote

1

answer

25

views

Fourier series of the absolute value of a function

real-analysis fourier-analysis fourier-series

answered 2 hours ago Robert Israel 408k

0

votes

1

answer

28

views

Definite integral involve Gaussian $\int_0^{s_0} dt\ t^n e^{-(t-a)^2}$

integration

modified 2 hours ago Henry Lee 10.8k

1

vote

1

answer

36

views

Induction on more than one variable

real-analysis

answered 2 hours ago user2661923 13.7k

5

votes

3

answers

128

views

square root in 2-adics

p-adic-number-theory

answered 2 hours ago Merosity 1,068

0

votes

0

answers

11

views

Minimax estimator for loss function

statistics

asked 2 hours ago Kevin Liang 13

0

votes

1

answer

12

views

Product of elementary row equivalent operation matrix formula

linear-algebra

answered 3 hours ago Theo Bendit 37.9k

0

votes

0

answers

8

views

Construct Pivot variable

p-value

asked 3 hours ago Kalle Blomkvist 1

-2

votes

0

answers

10

views

GAP Package for "GeneralSymplecticGroup"

group-theory gap computer-algebra-systems

asked 3 hours ago Isaac 29

0

votes

0

answers

14

views

$C=\begin{bmatrix}x_1\\x_2\end{bmatrix}\in R^2: x_1>1$ and $ x_2\ge x_1$ prove/disprove it is open/closed

matrices proof-writing solution-verification set-theory

asked 3 hours ago John Rawls 2,573

0

votes

1

answer

17

views

Comparison and stability.

partial-differential-equations

answered 3 hours ago user378654 1

0

votes

0

answers

17

views

Find the Parametric circle eq. that connects 3 points of a tetrahedron?

vectors analytic-geometry

modified 3 hours ago Ted Shifrin 94.9k

5

votes

0

answers

67

views

Evaluating $\int_{-\infty }^{\infty }\cos x^3\sin x^2dx$ without the Airy function

real-analysis calculus integration

modified 3 hours ago Blue 66.6k

2

votes

0

answers

28

views

In modules, basis, minimal spanning set, maximal linearly independent set do not coincide

abstract-algebra vector-spaces modules

modified 3 hours ago user26857 45.9k

0

votes

0

answers

13

views

Smooth dependence of transition densities on parameters for SDEs

stochastic-processes stochastic-calculus stochastic-analysis elliptic-equations

modified 3 hours ago George Ch94 101

1

vote

1

answer

19

views

Degree of a Subvariety of a Veronese Variety cut out by a curve

algebraic-geometry curves projective-space intersection-theory

modified 4 hours ago Tabes Bridges 2,934

1

vote

0

answers

23

views

Number of $F_p$-points on standard quadric $\sum x_i^2=0$ (quadratic cone) is $p^{n-1}+ (-1)^{n/2}(p^{n/2} - p^{n/2-1}) $, n-even?

number-theory algebraic-geometry finite-fields

modified 4 hours ago Alexander Chervov 539

0

votes

0

answers

7

views

Derive power function of two-sided z-test

normal-distribution random

asked 4 hours ago Kalle Blomkvist 1

0

votes

1

answer

23

views

Prove Bayesian Updating

probability conditional-probability bayesian bayes-theorem

answered 4 hours ago Sam Jaques 1,556

0

votes

0

answers

14

views

Can convolution between functions on a finite group be represented as a Toeplitz matrix?

finite-groups convolution harmonic-analysis sagemath toeplitz-matrices

asked 4 hours ago John Sawatzky 623

3

votes

6

answers

215

views

Comparing $2^{317}$ and $81^{50}$ by hand

inequality summation logarithms taylor-expansion number-comparison

modified 4 hours ago Alma Do 407

1

vote

1

answer

17

views

What is the value of the segment $BI$ the figure below?

geometry

answered 4 hours ago Michael Rozenberg 182k

0

votes

0

answers

6

views

What can be stated regarding the relationship of three Fourier transforms $A(j\omega)$, $B(f)$, $C(f)$ with $a(t)=\frac{\partial b(c(t))}{\partial c}$

fourier-analysis

modified 4 hours ago Frank Puck 101

0

votes

0

answers

12

views

Tauberian theorems for intermediate values of the argument -- "intermediate asymptotics"?

asymptotics laplace-transform

modified 4 hours ago kevinkayaks 768

4

votes

0

answers

31

views

Find the maximum of the following function of summation

discrete-mathematics optimization

modified 4 hours ago FARRAF 141

2

votes

1

answer

770

views

Prove the quotient map of real projective n space is smooth

general-topology differential-topology smooth-manifolds

modified 4 hours ago Laz 1,538

14

votes

2

answers

5k

views

Measure of "how much diagonal" a matrix is

matrices clustering

modified 4 hours ago Rodrigo de Azevedo 18.1k

0

votes

0

answers

10

views

Program for Calculating point symmetries of a PDE

partial-differential-equations symmetry

asked 4 hours ago Sasha 637

1

vote

0

answers

17

views

Convergence of $\sum_{a \in \mathbb Z^2} \left(1+ \frac{|(z_1+a_1)(z_2+a_2)+B|^2}{4y_1y_2 B}\right)^{-s}$

real-analysis integration sequences-and-series complex-analysis convergence-divergence

modified 4 hours ago Tyma Gaidash 2,880

2

votes

0

answers

15

views

Finite-dimensional vector lattice is a direct sum of one-dimensional vector lattices

linear-algebra vector-lattices

asked 5 hours ago Junk Warrior 338

1

vote

0

answers

23

views

My question concerns a possible hierarchy of sets of integers with the property that their sum divides the sum of their cubes.

elementary-number-theory

modified 5 hours ago poetasis 3,880

2

votes

1

answer

80

views

Does the notation $\{1, a \mid a\in A\}$ make sense?

elementary-set-theory

modified 5 hours ago Xander Henderson♦ 22.6k

0

votes

0

answers

6

views

Monadic interpretation for equivalence relations or closure systems

category-theory monoidal-categories monads

asked 5 hours ago TheWanderer 3,636

0

votes

0

answers

7

views

Calculus of variations problem with linear cost and constraint functions and non-negativity constraint

calculus probability optimization calculus-of-variations

asked 5 hours ago Sirplentifus 25

2

votes

4

answers

58

views

If $E$ is closed, then $\partial \partial E = \partial E$.

general-topology

answered 5 hours ago Oliver Diaz 20.6k

1

vote

1

answer

29

views

How to prove if $x \in W_1$ and $y \in W_1$ then $x + y \in W_1$ when we don't know if $W_1$ is a subspace?

linear-algebra proof-writing set-theory

answered 5 hours ago cjohnson 1,029

2

votes

3

answers

2k

views

Probability problem related to drawing balls from an urn

probability probability-theory

answered 5 hours ago Soudipta Dutta 101

-2

votes

1

answer

38

views

Simple algebraic Inequality for two real numbers to the power of a half.

real-analysis algebra-precalculus analysis inequality binomial-theorem

modified 6 hours ago Pat 19

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