Mathematics Stack Exchange

0

votes

0

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3

views

Need help with integral manipulation

integration definite-integrals indefinite-integrals

asked 1 min ago UnKnoWnZ 101

3

votes

0

answers

33

views

Polar Optical “Reflection”

geometry

modified 1 min ago Narasimham 28.4k

0

votes

3

answers

44

views

If $n^2$ is a multiple of $3$, then $n$ must be a multiple of $3$.

elementary-number-theory solution-verification

answered 1 min ago Bernard 152k

0

votes

0

answers

2

views

A problem about a quadrilateral and diagonals in Kiselev's Geometry (Exercise 521).

geometry euclidean-geometry area quadrilateral

asked 2 mins ago Taxxi 1,240

0

votes

0

answers

3

views

Help with proof that $ \sum_{i=0}^k{k \choose i}{N-k \choose n-i} = {N \choose n} $

combinatorics summation combinatorial-proofs

asked 2 mins ago Lucía Balestrazzi 1

0

votes

0

answers

5

views

Is the set of non-decreasing bounded continuous functions a compact set with the norm $𝑑(𝑓,𝑔)=\sup|𝑓−𝑔|$?

real-analysis functional-analysis compactness

asked 3 mins ago ftor 121

0

votes

1

answer

16

views

Is the set of non-decreasing bounded continuous functions a compact set?

real-analysis functional-analysis compactness

modified 3 mins ago ftor 121

1

vote

0

answers

19

views

If $a$ is deficient-perfect, can $ab$ be deficient-perfect if $b > 1$, and $ab$ is odd?

number-theory elementary-number-theory conjectures divisor-sum arithmetic-functions

modified 3 mins ago Jose Arnaldo Bebita-Dris 7,903

-2

votes

0

answers

13

views

Pull back of a Bounded form

geometry differential-geometry riemannian-geometry complex-geometry pullback

modified 4 mins ago SMar 1

0

votes

2

answers

36

views

How to calculate the series involving sin?

sequences-and-series

modified 7 mins ago Taylor Rendon 943

0

votes

0

answers

4

views

Limit of geometric brownian motion

brownian-motion

asked 7 mins ago mvc 11

0

votes

1

answer

14

views

Fractional part of a real number: questions

algebra-precalculus fractional-part

answered 8 mins ago Michael Burr 29.4k

0

votes

1

answer

12

views

CLT and summing IID Bernoulli RV vs. CLT and summing other types of IID RV

stochastic-processes random-variables central-limit-theorem

answered 8 mins ago Alex 17.2k

1

vote

1

answer

11

views

Kind of Diophantine Equation

number-theory elementary-number-theory diophantine-equations equivalence-relations

modified 9 mins ago John Omielan 29.1k

-1

votes

0

answers

5

views

First Order Logic : Order of Quantifiers

logic first-order-logic quantifiers

asked 9 mins ago Wassim Jaoui 11

0

votes

0

answers

5

views

Can the value of this integration be found?$\int_{0}^{1}\frac{1}{\sum_{k=1}^{k=n}\sqrt{x+k}}dx$

real-analysis calculus integration improper-integrals

asked 10 mins ago Bachamohamed 303

0

votes

1

answer

11

views

$\Vert x \Vert \leq 1 \implies \Vert x^{1/2} \Vert \leq 1$ in a $C^*$-algebra

functional-analysis c-star-algebras

modified 12 mins ago JCAA 4,906

0

votes

0

answers

4

views

What is an example of a positive recurrent Continuous-time Markov Chain whose embedded Markov Chain is null recurrent?

stochastic-processes markov-chains markov-process

asked 13 mins ago John11 1,477

1

vote

0

answers

29

views

Expected number of buckets filled when placing $N$ balls such that no $2$ adjacent buckets can be filled?

probability combinatorics expected-value

modified 14 mins ago Taylor Rendon 943

0

votes

0

answers

2

views

How to find likelihood and conjugate prior of known mean but unknown variance

probability-distributions self-learning statistical-inference bayesian

asked 16 mins ago Bethany Moeller 1

0

votes

1

answer

9

views

How to describe error in numerical method - big O notation

numerical-methods

answered 16 mins ago Robert Israel 384k

0

votes

4

answers

98

views

What is the difference between the derivative (the Jacobian), and the differential?

calculus differential-geometry

modified 16 mins ago Zohar Levi 109

7

votes

1

answer

100

views

+50

On the diophantine equation $x^{m-1}(x+1)=y^{n-1}(y+1)$ with $x>y$, over integers greater or equal than two

number-theory elementary-number-theory divisibility diophantine-equations prime-factorization

modified 19 mins ago User2020201 640

0

votes

0

answers

4

views

The cone without its vertex is a regular surface

calculus multivariable-calculus differential-geometry

asked 20 mins ago Darkltt 21

4

votes

2

answers

41

views

Proofs by Induction: are my two proofs correct?

discrete-mathematics induction solution-verification

answered 22 mins ago fleablood 99.2k

1

vote

0

answers

18

views

Convergence of $\sum_n e^{-a_nz}$

sequences-and-series convergence-divergence absolute-convergence

modified 22 mins ago Sebastiano 2,108

5

votes

2

answers

66

views

How to calculate the limit of sequence

calculus sequences-and-series limits

modified 23 mins ago Mark Viola 147k

2

votes

2

answers

19

views

$\rho(f,g)=\int_E \min(1,|f-g|)dm$. Prove that $f_n$ converges to $f$ in measure if and only if $\rho(f_n,f)\rightarrow 0$ as $n\rightarrow\infty$

real-analysis measure-theory lebesgue-integral lebesgue-measure

modified 23 mins ago mechanodroid 36.6k

0

votes

1

answer

43

views

how to find eigenvalues of $T_n:R^n\to R^n$ where $T_n (x)=(0,x_1,\frac{x_2}{2},\ldots,\frac{x_{n-1}}{n-1})$, what happen if $n\to\infty$

functional-analysis analysis

modified 24 mins ago Paul Frost 30.9k

3

votes

0

answers

35

views

Simplify $\mu(x)=\frac{a_x}{b_x}$ where $a_x+b_x=a_{x+1}$ & $\sqrt{a_n^2-b_n^2}+1=b_{n+1}$

sequences-and-series functions recurrence-relations recreational-mathematics elementary-functions

modified 28 mins ago BriggyT 726

0

votes

0

answers

49

views

Is this Riemann Zeta equation correct?

riemann-zeta

modified 29 mins ago Mark Kortink 444

-3

votes

0

answers

9

views

Data Management

reference-request

asked 29 mins ago manoj devassy 1

0

votes

0

answers

34

views

Differentiate complex function inside simple closed curve / analogue of Leibniz's rule

complex-analysis cauchy-integral-formula

modified 30 mins ago user770687 31

1

vote

2

answers

22

views

Different approach to finding possible values of slope of line intersecting a given circle

geometry circles coordinate-systems secant

answered 30 mins ago user376343 5,330

2

votes

0

answers

25

views

Explicit elliptic fibration for $x_0^4+x_1^4+x_2^4+x_3^4=0$ (Fermat's quartic)

algebraic-geometry arithmetic-geometry k3-surfaces

modified 32 mins ago rmdmc89 6,643

1

vote

0

answers

22

views

How to compute the solutions of $d\alpha = \omega$ for a given exact form $\omega$?

differential-forms

modified 32 mins ago peek-a-boo 13.9k

2

votes

0

answers

43

views

how do you describe $a(x)$ with elementary functions? $a(x)=Ʒ_x(1)$

real-analysis calculus functions recurrence-relations

modified 33 mins ago BriggyT 726

1

vote

1

answer

29

views

Expected value of dice game

probability expected-value dice

modified 33 mins ago RobPratt 13.8k

1

vote

1

answer

19

views

Partial Fractions with Fractions

number-theory partial-fractions

answered 38 mins ago Ryan Greyling 1,131

0

votes

0

answers

5

views

Minimal Conditions for Limit Point to be an $\omega$-Accumulation Point?

general-topology compactness separation-axioms

asked 40 mins ago Ishan Deo 2,462

0

votes

1

answer

22

views

Is a set of full measure also dense?

measure-theory

answered 42 mins ago Thorgott 2,626

0

votes

1

answer

20

views

Does equivalence between different deductive systems consider choices of axioms?

logic computer-science first-order-logic natural-deduction

modified 43 mins ago lemontree 5,289

1

vote

0

answers

24

views

$c(t)$ geodesic $\Rightarrow$ $c(\alpha t)$ geodesic.

calculus geometry differential-geometry riemannian-geometry mathematical-physics

modified 49 mins ago user408858 951

1

vote

1

answer

22

views

Finite index subgroups of $SL(2,\mathbb Z)$

group-theory modular-arithmetic modular-forms modular-group

modified 49 mins ago JCAA 4,906

0

votes

0

answers

7

views

Multivariate Gaussian noise models

statistics covariance sampling gaussian

asked 51 mins ago Igor 11

1

vote

1

answer

10

views

Trace Inequality for difference of positive definite matrices

linear-algebra matrices inequality trace positive-definite

answered 52 mins ago user1551 98k

0

votes

1

answer

13

views

Cauchy problem and global solution

ordinary-differential-equations solution-verification cauchy-problem

answered 54 mins ago Pacciu 5,400

0

votes

1

answer

34

views

Distribution of number of terms in integer partitions

elementary-number-theory integer-partitions young-tableaux

answered 55 mins ago lucasvb 1

0

votes

0

answers

12

views

Prove that a function $F$ with the properties $F(0) = 0$, $F(x/3)=F(x)/2$ and $F(1-x) = 1 - F(x)$ is the Cantor function

real-analysis cantor-set

asked 56 mins ago andre sigilo 1

0

votes

0

answers

8

views

Balls and Buckets Problem: Modification

probability statistics random-variables conditional-probability

modified 1 hour ago Mike D 149

1

vote

1

answer

16

views

How do I know if I should divide or subtract cases to remove over counting in combinatorics?

combinatorics

modified 1 hour ago DDD4C4U 999

1

vote

1

answer

19

views

Proving 2 lines are parallel.

circles

answered 1 hour ago User2020201 640

4

votes

1

answer

247

views

Calculations of Modified Bessel Function of the Second Kind

bessel-functions

answered 1 hour ago geocalc33 1,225

0

votes

1

answer

27

views

Thought experiment on infinite sums and probability.

probability sequences-and-series infinity

answered 1 hour ago Mark S. 14.8k

0

votes

0

answers

5

views

Rank of output tensor when we take covariant derivative of a tensor

derivatives differential-geometry

asked 1 hour ago Shirish Kulhari 1,647

0

votes

0

answers

7

views

Probability that the last uniform for the sum of uniforms to exceed 1 is greater than the last uniform for the sum to exceed 2

probability simplex

asked 1 hour ago Alex 1,140

0

votes

0

answers

6

views

Calculating intersections of a “2D cone” and segments

linear-algebra geometry intersection-theory

asked 1 hour ago Makogan 1,576

0

votes

0

answers

18

views

Integral of a f(x,y)=xy over the circle with radius 2 oriented positively (Complex Analysis)

complex-analysis complex-numbers complex-integration line-integrals cauchy-riemann-equations

modified 1 hour ago Kevin 1

0

votes

0

answers

2

views

Applying Continuity Correction after Converting to Standardized Units?

probability poisson-distribution

asked 1 hour ago Ethan 103

0

votes

1

answer

38

views

Interchange max and sup in a function space

real-analysis functional-analysis supremum-and-infimum riemann-integration

modified 1 hour ago Mikael Helin 147

2

votes

1

answer

39

views

$\sqrt{2+\sqrt{2}}+\frac{1}{2}\sqrt[3]{3}$ is not integral over $\mathbb{Z}$ - solution check

commutative-algebra solution-verification integral-extensions

answered 1 hour ago Pythagoras 3,823

0

votes

0

answers

18

views

Lebesgue integral of difference function

real-analysis integration functional-analysis measure-theory

asked 1 hour ago Newman 786

0

votes

0

answers

30

views

Should I learn multivariable calculus or manifolds and differential forms?

multivariable-calculus soft-question

asked 1 hour ago ibanez1 1

0

votes

0

answers

17

views

Why starting point of vectors in linear algebra need to be always origin (0, 0)?

linear-algebra vector-spaces vectors

asked 1 hour ago zipper block 41

0

votes

0

answers

19

views

stirling numbers generating function proof

combinatorics generating-functions stirling-numbers

modified 1 hour ago RobPratt 13.8k

1

vote

1

answer

34

views

$ \lim_{n \rightarrow \infty}(5+n)^{2n-1}((n+1)^{{1}/{n}}-n^{{1}/{n}})$ using $e$

limits limits-without-lhopital

answered 1 hour ago user 113k

0

votes

0

answers

12

views

Matching latent fingerprints

probability-theory

asked 2 hours ago sirrahe73 5

0

votes

0

answers

10

views

Conjugate Gradient: A-orthogonality under quadratic form implies “regular” orthogonality under special mapping…

optimization transformation quadratic-forms numerical-optimization gradient-descent

modified 2 hours ago Jacob Wilson 1

0

votes

0

answers

19

views

What well known ring is $2 \Bbb Z_{10}$ a subset of?

abstract-algebra ring-theory solution-verification

asked 2 hours ago Matt L. 153

0

votes

0

answers

16

views

Is the relation of belonging antisymmetric?

set-theory

asked 2 hours ago Atom 1,213

3

votes

0

answers

20

views

Singular value decomposition of a matrix embedded in a larger matrix

matrices svd orthogonal-matrices

modified 2 hours ago Adrian 1,905

0

votes

0

answers

23

views

Reference request on zeros of Generalized polynomials

polynomials reference-request

modified 2 hours ago Glorfindel 3,582

0

votes

1

answer

14

views

Hilbert space of multivariate random variable

statistics random-variables hilbert-spaces

answered 2 hours ago Andrew Shedlock 992

0

votes

0

answers

16

views

$16 \otimes_s 16 = [1] \oplus [5]^+$ from spinor representation

differential-geometry representation-theory lie-groups lie-algebras spin-geometry

modified 2 hours ago annie marie heart 2,193

-1

votes

3

answers

76

views

What is the quotient rule and how does it work?

calculus derivatives

modified 2 hours ago Riemann'sPointyNose 2,766

0

votes

0

answers

23

views

Does weak convergence of functions on periodic domains implies strong convergence?

real-analysis lp-spaces weak-convergence periodic-functions

modified 2 hours ago vmist 1

0

votes

1

answer

9

views

Connection between words and sets of solutions to integral equations

combinatorics discrete-mathematics

answered 2 hours ago Brian M. Scott 509k

0

votes

0

answers

12

views

Calculation of inner product for Riemannian metrics.

riemannian-metric

modified 2 hours ago Charlie Chang 393

0

votes

0

answers

9

views

Diagonal quadratic form and vector with fixed norm

linear-algebra quadratic-forms

asked 2 hours ago phil 93

0

votes

0

answers

15

views

Probability of arrangements that starts with an alpha run of length $ l \geq 0$

probability combinatorics

asked 2 hours ago Shew 1,199

0

votes

0

answers

11

views

Data Reduction: How to understand this statement?

statistics

asked 2 hours ago DigitalSoul 111

-2

votes

0

answers

44

views

The Collatz Conjecture - attempt to generalize

number-theory prime-numbers collatz-conjecture

modified 2 hours ago J. W. Tanner 41.6k

22

votes

3

answers

43k

views

Distribution of the difference of two normal random variables.

probability statistics moment-generating-functions

answered 2 hours ago Alex 17.2k

0

votes

0

answers

13

views

Additive combinatorics: How to get Squares from Corners theorem in [n]^2

additive-combinatorics

asked 2 hours ago Sharon Zilberherts 1

0

votes

0

answers

5

views

Compute $ P(N_3 = k | T_2 \leq 3 ) $ for a Poisson Process with rate $\lambda$

poisson-process

asked 3 hours ago Anirudh Kosaraju 1

1

vote

0

answers

25

views

+50

Visualise Gram sets of nonnegative polynomials in the cone of PSD matrices

polynomials visualization positive-semidefinite toeplitz-matrices hermitian-matrices

modified 3 hours ago Viktor Glombik 3,643

2

votes

0

answers

18

views

Relation between Maximal Spectrum of different rings.

algebraic-geometry commutative-algebra zariski-topology

modified 3 hours ago William Sun 1,342

2

votes

0

answers

152

views

What is the maximum number of Sudoku boards possible?

combinatorics matrices permutations sudoku

modified 3 hours ago Swastik 151

30

votes

0

answers

362

views

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

combinatorics graph-theory contest-math puzzle matching-theory

modified 3 hours ago Aqua 72.7k

2

votes

0

answers

33

views

Faulhaber's polynomials and irreducibility in the sums of powers

sequences-and-series irreducible-polynomials bernoulli-numbers

modified 3 hours ago Anthony Saint-Criq 554

1

vote

0

answers

19

views

Optimal rule for multiple stopping times for defect finding

stochastic-processes stopping-times optimal-control dynamic-programming

modified 3 hours ago Hans 7,524

1

vote

0

answers

12

views

Limits with zeroes of L-functions

complex-analysis limits convergence-divergence l-functions

asked 3 hours ago DesmondMiles 1,628

1

vote

3

answers

39

views

What's the name for sequences sitting between geometric and arithmetic, i.e. whose recurrence relation is of the form $ax+b$?

sequences-and-series recurrence-relations terminology arithmetic-progressions geometric-progressions

answered 3 hours ago John Bentin 14.2k

1

vote

0

answers

10

views

Existence and uniqueness for system of linear first-order partial differential equations

partial-differential-equations reference-request systems-of-equations

asked 3 hours ago Quantum 97

0

votes

0

answers

8

views

Output entropy $H(y)$ in terms of polar coordinate where, $x = r{e^{j\theta }};y = {{\mathop{\rm Re}\nolimits} ^{j\psi }}$?

probability-distributions random-variables entropy

asked 4 hours ago Samantha 83

0

votes

0

answers

45

views

Is this a good justification for why integration by substitution works?

calculus integration indefinite-integrals intuition chain-rule

modified 4 hours ago user1337 8,059

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