Mathematics Stack Exchange

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0

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8

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Diophantine approximation and Farey sequences

analytic-number-theory diophantine-approximation farey-sequences

modified 12 secs ago Bernard 130k

0

votes

0

answers

3

views

Triangle inequality in difference form

geometry

asked 2 mins ago rsadhvika 1,779

0

votes

0

answers

10

views

Calculation of growth estimate for a certain transcendental entire function

real-analysis complex-analysis dynamical-systems complex-dynamics

modified 3 mins ago Nik 4

0

votes

3

answers

26

views

How many solutions has the equation $e^z=z$?

complex-analysis

modified 3 mins ago Dr. Sonnhard Graubner 85.4k

0

votes

0

answers

12

views

Upper bound for $\sin x \big/ \sin(x/n)$ function

real-analysis real-algebraic-geometry

modified 3 mins ago Bernard 130k

0

votes

0

answers

21

views

preimage of integral extension of ideal

ring-theory commutative-algebra ideals

modified 4 mins ago user686219 28

1

vote

1

answer

29

views

Definition of local diffeomorphism/homeomorphism onto image?

general-topology differential-geometry manifolds smooth-manifolds diffeomorphism

answered 6 mins ago abenthy 398

0

votes

0

answers

6

views

How to compute this integral containing the $\arccos$ function?

definite-integrals closed-form

asked 7 mins ago sigma_k 69

0

votes

2

answers

15

views

Question on Multiplicative Factor for a Standard Fourier Transform

fourier-transform

answered 8 mins ago reuns 23.9k

1

vote

1

answer

23

views

Are there theorems about extraneous solutions?

algebra-precalculus polynomials proof-explanation roots

modified 9 mins ago Arthur 132k

0

votes

1

answer

9

views

Union of subgroups of $\mathbb{C^*}$

field-theory

answered 10 mins ago WoolierThanThou 204

0

votes

3

answers

31

views

How to evalute $\int_{0}^{1}\frac{x\log x}{\log(1-x)}dx$

calculus integration definite-integrals

answered 12 mins ago Ali Shather 2,281

1

vote

1

answer

62

views

Suppose that $X$ is a topological space and $x_0\in X$. Prove that $\widetilde{H_n}(X)=H_n(X,x_0)$ for all $n\geq 0$.

proof-verification algebraic-topology homology-cohomology

modified 13 mins ago Paul Frost 15.9k

0

votes

0

answers

6

views

Derivative of the expected value of a function

probability statistics derivatives expected-value economics

asked 16 mins ago alpha_beta_gamma 1

0

votes

0

answers

4

views

Risk assessment in a game with repeated decisions

gambling risk-assessment

asked 19 mins ago moritzthird 1

0

votes

2

answers

22

views

Polynomial Functions Question (Determine values of $~k~$ and $~f~$)

polynomials

modified 24 mins ago evaristegd 334

-1

votes

1

answer

47

views

Find $P(X\ge 0)$ given distribution of $X$

probability

modified 26 mins ago StubbornAtom 7,585

1

vote

2

answers

780

views

Limit Comparison test: Selection of auxiliary series

convergence

modified 27 mins ago Community♦ 1

-1

votes

0

answers

15

views

Solution to differential equation continuous

ordinary-differential-equations derivatives continuity

modified 29 mins ago Alvo 55

2

votes

1

answer

44

views

Minimal neural network to learn quadratic function

neural-networks

modified 30 mins ago pcp 1,170

0

votes

0

answers

3

views

first order ODE containing a $n$th order polynomial of dependent variable

ordinary-differential-equations

asked 30 mins ago Masoud 8

1

vote

1

answer

35

views

The sum of Infinite series

real-analysis analysis measure-theory

modified 32 mins ago Feng Shao 2,148

4

votes

0

answers

82

views

+50

Does there exist a maximum $m\in\mathbb{N}$ such that for some prime $p$, $p_r=p +\sum_{n=1}^r 2^n$ is prime for $r=1,2,\ldots,m$?

number-theory elementary-number-theory prime-numbers

modified 36 mins ago StubbornAtom 7,585

1

vote

1

answer

7

views

Can I distribute a vector in a dot product to another vector dot product?

vectors inner-product-space

modified 38 mins ago José Carlos Santos 201k

1

vote

3

answers

42

views

What is a good technique for finding a simple formula to fit a series of three points?

linear-algebra

answered 41 mins ago Daniele Procida 133

1

vote

1

answer

18

views

Statistical test for representativeness of population

statistics binomial-distribution chi-squared

modified 44 mins ago BruceET 37.4k

-1

votes

1

answer

16

views

Proving The Maxima Of Function

real-analysis calculus

modified 46 mins ago Feng Shao 2,148

0

votes

0

answers

17

views

How to find problems and do good research paper on Algebraic Number Theory (p-adic Numbers)?

algebraic-number-theory p-adic-number-theory

asked 47 mins ago M. A. SARKAR 2,475

5

votes

4

answers

240

views

Quotient rule/Quotient rule

calculus derivatives

answered 48 mins ago celtschk 31k

1

vote

0

answers

9

views

Is there a precise mathematical formulation to define whether two optimization problems are similar?

convergence optimization convex-optimization parameter-estimation discrete-optimization

asked 50 mins ago randomprime 23

2

votes

1

answer

27

views

What is the intersection of real numbers' set and span $\{\sin^2x,\cos^2x\}$?

linear-algebra vector-spaces

modified 52 mins ago Arjun Banerjee 678

1

vote

0

answers

36

views

Constructive proof that $\liminf na_n = 0$ if the series $\sum_{n=1}^{\infty} a_n$ converges

real-analysis constructive-mathematics

modified 52 mins ago Aphyd 40

0

votes

0

answers

11

views

Limit of Divergence operator at $\theta=0$ in spherical coordinates

limits partial-derivative polar-coordinates spherical-coordinates

modified 54 mins ago Skawang 207

0

votes

1

answer

11

views

Traversing all states probability

markov-chains

answered 58 mins ago Wuestenfux 8,571

0

votes

1

answer

20

views

Is a function differentiable if it has a removable discontinuity

calculus derivatives discontinuous-functions

answered 59 mins ago José Carlos Santos 201k

1

vote

0

answers

16

views

Evaluating mean of uniform distribution using mgf

probability moment-generating-functions

modified 1 hour ago johnson 100

33

votes

5

answers

908

views

Find the closed form of $\sum_{n=1}^{\infty} \frac{H_{ n}}{2^nn^4}$

calculus integration sequences-and-series closed-form harmonic-numbers

modified 1 hour ago Ali Shather 2,281

2

votes

0

answers

58

views

Solving Sturm-Liouville-equation

calculus ordinary-differential-equations bessel-functions sturm-liouville

modified 1 hour ago Jan 1,191

3

votes

1

answer

66

views

Resistant integral $\int_0^1\left(\frac{\ln^2(1-x)\ln^2(1+x)}{1-x}-\frac{\ln^2(2)\ln^2(1-x)}{1-x}\right)\ dx$

calculus integration closed-form polylogarithm

modified 1 hour ago Ali Shather 2,281

1

vote

0

answers

29

views

d(vector)/d(matrix) in neural-network-deep-learning context

partial-derivative matrix-calculus gradient-descent neural-networks

modified 1 hour ago Jayeon Yi 55

3

votes

1

answer

163

views

How to prove isomorphism with the Dihedral group

group-theory finite-groups dihedral-groups

modified 1 hour ago Daugmented 331

0

votes

0

answers

52

views

Equivalent definitions for smooth embedding?

general-topology geometry proof-verification differential-geometry manifolds

modified 1 hour ago Selene Auckland 463

-2

votes

0

answers

31

views

I am wondering if this below question has any answer? Does this question exist. Please if any one knows the answer help me in solving it.

integration trigonometric-integrals

modified 1 hour ago coreyman317 2,005

1

vote

1

answer

30

views

How can I prove that $\mathbb{E}[g^{2k}] = (2k-1)!!$

integration proof-explanation normal-distribution expected-value

modified 1 hour ago robjohn♦ 276k

0

votes

1

answer

18

views

Multiple Random Variables PDF

probability probability-distributions random-variables

modified 1 hour ago A M Ankit Kalluraya 15

1

vote

0

answers

23

views

Rank of locally symmetric spaces in terms of flat immersions

riemannian-geometry submanifold symmetric-spaces

modified 1 hour ago abenthy 398

1

vote

3

answers

39

views

Question about basis of a topology

general-topology

modified 1 hour ago Eric Wofsey 204k

1

vote

1

answer

21

views

Tensor product of commutative rings of characteristic zero

commutative-algebra tensor-products

modified 2 hours ago Eric Wofsey 204k

0

votes

1

answer

20

views

Undirected graph with $~n~$ vertices

graph-theory

modified 2 hours ago nmasanta 2,898

-1

votes

1

answer

24

views

Hamilton path reduction to Hamilton cycle

computer-science hamiltonian-path

modified 2 hours ago anomaly 18.2k

0

votes

1

answer

38

views

What is the solution to this Riccati equation $ 𝑦' = 𝑎 𝑦^2 + f(x)$ on $[0,\infty)$, where $f$ is an arbitrary increasing function?

ordinary-differential-equations

answered 2 hours ago JJacquelin 47.9k

0

votes

0

answers

40

views

Combinatorics of arithmetic progressions in $~\{1,2,\cdots, 9\}~$

combinatorics

modified 2 hours ago nmasanta 2,898

3

votes

1

answer

97

views

$\|A\|^2 =\|A^2\|$ implies $A$ is normal

linear-algebra matrices hilbert-spaces spectral-norm

modified 2 hours ago Rodrigo de Azevedo 13.5k

1

vote

1

answer

8

views

Smoothly homeomorphic for invariance of domain and invariance of dimension

general-topology differential-geometry continuity manifolds invariance

modified 2 hours ago Selene Auckland 463

1

vote

0

answers

20

views

Infinite volume but finite surface area, in higher dimensions?

recreational-mathematics

asked 2 hours ago Lennart 128

1

vote

0

answers

48

views

Necessary conditions on $x$ for $e^{ax} \geq b - cx$.

real-analysis inequality exponential-function

modified 2 hours ago Eric Wofsey 204k

1

vote

2

answers

1k

views

the proof of the eccentricity of an ellipse

geometry proof-verification conic-sections

modified 2 hours ago Community♦ 1

2

votes

2

answers

58

views

Find generating function for the pattern

combinatorics generating-functions

modified 2 hours ago Markus Scheuer 66.9k

1

vote

0

answers

14

views

potential good reduction of abelian varieties

p-adic-number-theory arithmetic-geometry abelian-varieties galois-representations

modified 2 hours ago Eiang 90

2

votes

1

answer

26

views

Index notation in derivation rules

logic notation natural-deduction index-notation sequent-calculus

modified 2 hours ago Taroccoesbrocco 6,084

0

votes

0

answers

9

views

Rewriting a transform

probability moment-generating-functions

asked 2 hours ago johnson 100

2

votes

1

answer

80

views

Are manifold subsets submanifolds?

proof-verification differential-geometry manifolds smooth-manifolds

modified 2 hours ago Selene Auckland 463

0

votes

0

answers

27

views

Finding a closed form for a recurrence relations $𝑎_𝑛=(n)a_{n-1}+1$ and $𝑎_𝑛=(n)a_{n-1}+n$?

linear-algebra recurrence-relations closed-form recursion

asked 2 hours ago Tom 157

0

votes

1

answer

18

views

A 1st order “intermittent” differential equation defined on a disconnected open set

real-analysis ordinary-differential-equations analysis measure-theory lebesgue-integral

answered 2 hours ago Robert Israel 343k

0

votes

1

answer

20

views

The Poisson equation in the unit disk

pde polar-coordinates

answered 2 hours ago Jacky Chong 19.6k

1

vote

1

answer

23

views

Mathematical Induction for a defined Fibonacci Function

induction recurrence-relations

modified 2 hours ago Eric Wofsey 204k

0

votes

0

answers

40

views

Measure-preserving map of sphere

real-analysis measure-theory lebesgue-measure

modified 2 hours ago posilon 1,532

1

vote

1

answer

50

views

When is $f(x) = g(x) \mod 2^k$ an odd permutation?

combinatorics reference-request permutations

modified 3 hours ago darij grinberg 12.2k

2

votes

0

answers

68

views

From Equivalence of Categories to isomorphism of Subcategories.

category-theory

modified 3 hours ago In search for infinity 115

0

votes

0

answers

12

views

Efficient computation of the dot product of a matrix, which is a chain of Kronecker products, and a vector

linear-algebra matrices algorithms

asked 3 hours ago Abhijeet Melkani 103

0

votes

0

answers

42

views

Thinking about integrals in a different way

calculus integration

modified 3 hours ago nmasanta 2,898

0

votes

1

answer

13

views

Prove that if $g$ is injection then $f,g$ are both homeomorphism.

general-topology

answered 3 hours ago Kavi Rama Murthy 101k

0

votes

0

answers

11

views

Computing index of combination with repetitions.

combinatorics

modified 3 hours ago nmasanta 2,898

0

votes

0

answers

8

views

If $f(x)=\frac1{\sqrt{2π}}e^{-\frac{x^2}2}$, is $z_1↦|\frac{f(x_1+α_nz_1)}{f(x_1)}\prod_{i=2}^n\frac{f(y_i)}{f(x_i)}-1|$ a.e. twice differentiable?

real-analysis probability-theory measure-theory derivatives lebesgue-measure

asked 3 hours ago 0xbadf00d 1,456

0

votes

0

answers

12

views

Definition of terms in first order logic

reference-request definition first-order-logic

asked 3 hours ago Evan Aad 5,777

2

votes

1

answer

22

views

Exercise 2.22 in Brezis' Functional Analysis

functional-analysis

answered 3 hours ago Kavi Rama Murthy 101k

3

votes

1

answer

57

views

Help with proof that nonempty set of integers bounded above has a max

real-analysis proof-explanation

answered 3 hours ago fleablood 76.5k

2

votes

1

answer

75

views

Proving $S_3$ is not a coproduct of cyclic groups

abstract-algebra group-theory category-theory

modified 3 hours ago Santana Afton 4,097

1

vote

0

answers

8

views

exterior angle of a reflex angle

euclidean-geometry angle

asked 3 hours ago Apekshik Panigrahi 120

1

vote

0

answers

8

views

Unit quaternion as representation of 3d rotation

rotations quaternions

asked 3 hours ago angryip 105

3

votes

1

answer

22

views

homology groups of the quotient of $\mathbb{S}^2$ obtained by identifying north and south poles to a point

algebraic-topology homology-cohomology homotopy-theory

modified 3 hours ago Santana Afton 4,097

0

votes

0

answers

13

views

words of $~4~$ diff letters formed out of $~7~$ capital letters, $~3~$ vowels, and $~5~$ consonants. (description in body)

combinatorics

modified 3 hours ago nmasanta 2,898

0

votes

0

answers

20

views

Is selecting a card from 52 playing card a random experiment

probability

asked 4 hours ago Akhand Chaurasia 1

0

votes

0

answers

3

views

Must Linearly Independent Vectors in a Matrix produce Pivot Positions 1:1 in a A’s Reduced Echelon Form?

linear-algebra matrix-equations matrix-rank

asked 4 hours ago SDH 6

1

vote

0

answers

16

views

Find irreducible components of $V(y − x^2, y^2 − y + z^2)$

algebraic-geometry affine-varieties

asked 4 hours ago Andrew 416

0

votes

0

answers

17

views

Complexity of verifying optimality in (mixed) integer programming

optimization computational-complexity integer-programming discrete-optimization decision-problems

modified 4 hours ago Tobia Marcucci 364

4

votes

0

answers

85

views

Differentiability of $ G(x)=\int_{\mathbb R} e^{tx}f(t)dt $ on $ (0,1) $

real-analysis derivatives

modified 5 hours ago Bach 2,620

1

vote

0

answers

16

views

How many ways can you give $n$ distinct toys to $3$ children given certain conditions

combinatorics generating-functions

asked 5 hours ago jd94 391

0

votes

1

answer

15

views

Prove that if $V$ is a simple R-module, then $End_R(V)$ is a division ring.

abstract-algebra ring-theory

answered 5 hours ago Dave 342

22

votes

1

answer

850

views

A cotangent series related to the zeta function

calculus sequences-and-series riemann-zeta

modified 5 hours ago Community♦ 1

6

votes

0

answers

52

views

Generalized limits

sequences-and-series functional-analysis limits convergence convergence-acceleration

modified 5 hours ago user76284 1,444

4

votes

1

answer

27

views

Variance vs standard deviation

statistics variance standard-deviation

answered 6 hours ago Saketh Malyala 10.5k

1

vote

0

answers

31

views

What is the maximum multiplicity of intersection of two nonsingular conics at a common point?

algebraic-geometry

modified 6 hours ago Math N00b 60

-1

votes

1

answer

28

views

Is second-order logic with full semantics effectively checkable?

proof-verification first-order-logic second-order-logic

modified 6 hours ago Noah Schweber 135k

0

votes

1

answer

18

views

Why does the Method of Maximum Likelihood always give a maximum?

probability estimation

answered 6 hours ago Alejandro Nasif Salum 4,965

1

vote

1

answer

80

views

Complex Conformal Mapping from $\{z\in \mathbb{C} :|z|>1, Re(z)>0\}$ to the unit disc.

complex-analysis conformal-geometry

modified 7 hours ago Isa 369

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