Mathematics Stack Exchange

0

votes

1

answer

8

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independence of infinite collection of random variables

probability random-variables independence

answered 1 min ago nullUser 23.7k

0

votes

1

answer

19

views

Fourier series - unsure if I'm on the right track

fourier-series

answered 1 min ago user170231 8,560

0

votes

0

answers

4

views

2D Integer Lattice graph problem

combinatorics graph-theory integer-lattices

asked 1 min ago Emil B 185

7

votes

1

answer

109

views

$\int_{-\infty}^{\infty} \frac{\log|\zeta(\frac{1}{2}+it)|}{\frac{1}{4}+t^2}dt$ where $\zeta$ is the Riemann zeta function

complex-analysis number-theory analytic-number-theory riemann-zeta riemann-hypothesis

modified 1 min ago Conrad 15.5k

0

votes

0

answers

6

views

Transitive closure of a relation that is already transitive

relations

asked 1 min ago a6623 61

0

votes

0

answers

2

views

Finite group with a special property

finite-groups abelian-groups

asked 2 mins ago JohnnyC 742

0

votes

0

answers

16

views

A Conjecture on the Existence of Integer Solutions where $(f_1)^2 + (f_2)^2 +( f_3)^2… = I^2$

sequences-and-series number-theory fractions

modified 2 mins ago SpoonedBread 178

6

votes

0

answers

57

views

Best way to play 20 questions

statistical-inference game-theory information-theory entropy

modified 3 mins ago Mike Hawk 4,034

0

votes

0

answers

8

views

Converting a matrix into echelon form

linear-algebra matrices

asked 6 mins ago valiya 1

2

votes

0

answers

5

views

Do the central extension of a Loop algebra split

lie-algebras exact-sequence

asked 9 mins ago TJ123 21

0

votes

1

answer

17

views

Is existential instantiation related to “Let x be …”

discrete-mathematics proof-writing soft-question

answered 10 mins ago Karl 2,832

0

votes

1

answer

35

views

How to define a Parse Tree, and the equality of parse tree?

arithmetic formal-languages trees context-free-grammar

answered 10 mins ago rici 727

0

votes

0

answers

6

views

Ways to numerically find the monodromy group of an ODE

ordinary-differential-equations numerical-methods

asked 10 mins ago bnado 415

-2

votes

0

answers

18

views

Unique Solution to the PDE $u_{xx} + u_{yy}-e^{u}=f$

partial-differential-equations

modified 14 mins ago user3307971 1

0

votes

1

answer

20

views

Infinitesimal limit of Poisson process

stochastic-processes stochastic-calculus poisson-process

answered 15 mins ago ComptonScattering 809

-1

votes

0

answers

20

views

true or false- Inner product space

linear-algebra vector-spaces inner-products

asked 16 mins ago wonder3 11

1

vote

1

answer

42

views

A Question on Fractions

geometry solution-verification conjectures pythagorean-triples

modified 16 mins ago SpoonedBread 178

3

votes

0

answers

67

views

Are they known properties for the self-convolution application $H : f \mapsto f \star f$?

functional-analysis reference-request lp-spaces convolution

modified 17 mins ago Velobos 1,246

0

votes

1

answer

27

views

Continuity Question, proving epsilon-delta

limits continuity epsilon-delta

answered 18 mins ago Koro 3,548

0

votes

1

answer

13

views

Proving that Selection Operator on Cartesian Product of Two Relations is Equivalent to Theta-Join on Those Same Realtions

relation-algebra

modified 19 mins ago Aryadeva 30.9k

1

vote

0

answers

12

views

Transition kernels of diffusions: kernel properties

stochastic-processes markov-process stochastic-differential-equations

modified 19 mins ago Xander 63

0

votes

0

answers

17

views

In how many ways can 10 different objects be distributed among 3 children of different ages such that each child receives at least ..

combinatorics

modified 20 mins ago N. F. Taussig 59k

1

vote

0

answers

26

views

Find a functions such $\int_0^{1} |f(t) + g(t)| dt = 1$

integration functional-analysis functions

asked 20 mins ago Lucian 365

4

votes

0

answers

49

views

Laplacian in a perforated domain with non-homogenous boundary conditions. Link with the existence of a suited extension function.

partial-differential-equations definition sobolev-spaces laplacian

modified 22 mins ago Velobos 1,246

-1

votes

0

answers

12

views

Computing the following integral…

integration

asked 22 mins ago ritukesh moju 1

0

votes

0

answers

4

views

implicit function theorem with domain of definition not an open set

real-analysis reference-request implicit-function-theorem

asked 22 mins ago user123 23

1

vote

0

answers

30

views

Dual of $\{\nabla h, \ h \in W^{1,s}(\Omega)\}$ in $(L^s(\Omega))^3$.

functional-analysis lp-spaces sobolev-spaces duality-theorems

modified 22 mins ago Velobos 1,246

1

vote

2

answers

17

views

Changing the summations involving binomial coefficient

summation binomial-coefficients

modified 23 mins ago robjohn♦ 307k

2

votes

0

answers

31

views

Compute these expectations for non-independent random variables.

probability probability-distributions expected-value independence

modified 23 mins ago Velobos 1,246

0

votes

0

answers

5

views

What is so special about the generator chosen for Reed solomon Codes?

soft-question coding-theory

asked 27 mins ago Sen90 113

1

vote

1

answer

16

views

Taylor series remainder equaling zero

calculus sequences-and-series power-series taylor-expansion

answered 31 mins ago Gary 9,035

0

votes

1

answer

20

views

If $Q_n \to Q$ strongly in $B(L^2)$, then is it true that $|Q_n| \to |Q|$ in some appropriate sense?

real-analysis functional-analysis analysis convergence-divergence operator-theory

answered 33 mins ago MaoWao 7,503

1

vote

1

answer

33

views

Find area of the largest possible equilateral triangle inscribed in an isosceles triangle

geometry trigonometry triangles

answered 35 mins ago Intelligenti pauca 36.1k

5

votes

1

answer

30

views

Does $\pi:\mathbb{S}^2 \to \mathbb{R}P^2$ have a smooth right inverse?

differential-geometry smooth-manifolds smooth-functions

answered 37 mins ago Andreas Cap 15k

1

vote

1

answer

44

views

Prove that $\mathbb{C}$ is a finite $\mathbb{R}$-algebra and that $\mathbb{Q}, \mathbb{R}, \mathbb{C}$ are not finite $\mathbb{Z}$-algebras

abstract-algebra ring-theory commutative-algebra

modified 41 mins ago lhf 200k

0

votes

0

answers

21

views

Markov process for random number from [0,1]

probability markov-process

modified 42 mins ago rohrdr 1

0

votes

0

answers

14

views

Probability distribution of a function of two random variables

probability integration probability-distributions random-variables random-functions

modified 42 mins ago NN2 2,367

1

vote

2

answers

17

views

Compactness - Norm on R^n

real-analysis sequences-and-series compactness

answered 44 mins ago mathcounterexamples.net 53.5k

1

vote

0

answers

8

views

Do falling factorials form a Schauder basis for formal power series in some topology?

combinatorics discrete-mathematics generating-functions topological-vector-spaces formal-power-series

asked 45 mins ago Keshav Srinivasan 8,445

0

votes

0

answers

10

views

When is there a natural copower for models of a geometric theory?

logic category-theory universal-algebra

modified 22 secs ago BigSocks 107

0

votes

4

answers

48

views

Find the $\lim_{x\to +\infty}(\frac{1+x}{1+2x})^{x} $

real-analysis limits

modified 46 mins ago amWhy 200k

0

votes

1

answer

25

views

bound of the function $f(x)$

real-analysis analysis hyperbolic-functions

modified 47 mins ago joshua 1

0

votes

0

answers

7

views

Independent linear combination of random variables

probability independence

modified 47 mins ago simon 81

0

votes

0

answers

5

views

Expected Value with Kronecker Product

matrices expected-value kronecker-product

asked 48 mins ago Gabri 1

2

votes

1

answer

26

views

Gini index different expressions

probability probability-theory order-statistics

modified 49 mins ago d.k.o. 20.2k

0

votes

1

answer

24

views

$T$ injective equivalent to $T'$ surjective

linear-algebra linear-transformations

modified 49 mins ago tobkloeff 13

0

votes

0

answers

7

views

Least squares fitting to determine principal axes of deformation: what is wrong with my method?

linear-algebra eigenvalues-eigenvectors least-squares weighted-least-squares

asked 50 mins ago confusedstudent 37

1

vote

1

answer

1k

views

Show that $P_n(F)$ is generated by $\{1, x, \dots, x^n \}$. Differentiating between $\text{span}(S) \subseteq W$ and $\text{span}(S) = W$?

linear-algebra vector-spaces

modified 50 mins ago Community♦ 1

2

votes

0

answers

44

views

A combinatorial sieve for a specific setup

combinatorics number-theory sieve-theory

modified 56 mins ago user3733558 416

1

vote

0

answers

32

views

Symmetric groups of the circle and the order

abstract-algebra group-theory symmetric-groups

modified 1 hour ago Shaun 28.3k

2

votes

2

answers

25

views

Geometric Algebras

geometry differential-geometry tensors exterior-algebra clifford-algebras

answered 1 hour ago rschwieb 131k

0

votes

0

answers

8

views

Properties of Kolmogorov's forward equations

ordinary-differential-equations conditional-probability markov-process

modified 1 hour ago Especially Lime 33.2k

1

vote

0

answers

10

views

Existence of a matrix similar to upper triangular matrix.

linear-algebra matrices matrix-calculus

modified 1 hour ago Tokita Ohma 93

1

vote

0

answers

14

views

Is this product of $L^2$ functions also an $L^2$ function?

functional-analysis

asked 1 hour ago CharlesXavier 155

0

votes

0

answers

26

views

How to generate particle positions from probability density function?

probability probability-distributions density-function sampling

modified 1 hour ago imnotmurtaza 119

1

vote

1

answer

43

views

Semi-direct product $C_p : C_3$

group-theory gap semidirect-product

answered 1 hour ago kabenyuk 81

2

votes

0

answers

40

views

Definite integrals and infinite sums with known (conjectured) closed forms but no proof

sequences-and-series definite-integrals closed-form

modified 1 hour ago Start wearing purple 51.2k

1

vote

0

answers

18

views

Show $\int_0^1|x'(t)|^2 dt \leq M_1$ given that $\int_0^1|x'(t)|^2-|x| dt \leq M_2$ (using Hoelders inequality)

real-analysis integration functional-analysis inequality

asked 1 hour ago Cathelion 11

-1

votes

0

answers

25

views

Number of NxN grids with only one “spot” allowed

combinatorics

asked 1 hour ago Galbotrix 11

3

votes

1

answer

49

views

Writing a given process as a diffusion

probability stochastic-processes stochastic-calculus poisson-process

modified 1 hour ago 900edges 413

0

votes

1

answer

22

views

A question about linear application

linear-algebra

answered 1 hour ago Jotabeta 375

0

votes

0

answers

8

views

Determining a functional's smallest possible operator norm

functional-analysis constraints hahn-banach-theorem

asked 1 hour ago recursive recursion 1,064

0

votes

0

answers

15

views

Non-Linear ODE with some consideration

real-analysis metric-spaces numerical-methods boundary-value-problem

asked 1 hour ago user199315 1

0

votes

0

answers

22

views

What does this mean? “If $y^3+py+q$ has discriminant $>0$ then Cardano's formula shows the real root as the sum of cube roots of real numbers.”

abstract-algebra polynomials

modified 1 hour ago Blue 63k

0

votes

1

answer

20

views

Suppose that y1 = 8.3, y2 = 4.9, y3 = 2.6, y4 = 6.5 is a random sample of size 4 from the two parameter uniform pdf,

statistics density-function moment-generating-functions

modified 1 hour ago BruceET 45.1k

1

vote

1

answer

11

views

Map preserving joins jointly versus separately

order-theory lattice-orders

answered 1 hour ago Eric Wofsey 263k

0

votes

0

answers

25

views

Show that orthogonal projection of $(0,1,0)$ over $W$ is the vector $(\frac{1}{\sqrt{2}}, \frac{i}{2}, \frac{1+i}{4})$

linear-algebra inner-products

asked 1 hour ago Tomergt45 223

2

votes

0

answers

15

views

On solving the fractional Laplacian

partial-differential-equations fourier-analysis fractional-calculus

modified 1 hour ago Jay Mayfield 21

0

votes

0

answers

13

views

Verifying the cocycle condition

abstract-algebra general-topology algebraic-topology differential-topology

asked 1 hour ago Lamda8 605

2

votes

1

answer

24

views

Base and height of a triangle is constant, what affects how many same squares I can fit inside it?

geometry triangles

answered 2 hours ago Ross Millikan 351k

3

votes

0

answers

43

views

Expected value and Riemann sums

probability probability-theory expected-value intuition

modified 2 hours ago Tortar 2,236

0

votes

2

answers

22

views

Question about a statement involving system of linear equations and rank of matrix.

linear-algebra matrices systems-of-equations matrix-rank

answered 2 hours ago Tom Au 2,130

0

votes

0

answers

11

views

Consider the autonomous ODE y’=f(y) and compute the consistency order of the explicit Euler method

numerical-methods numerical-linear-algebra numerical-optimization numerical-calculus

asked 2 hours ago Ibara99 1

1

vote

1

answer

12

views

Continuous random vector with joint pdf (find marginal and validity)

probability probability-theory probability-distributions

modified 2 hours ago tommik 18.2k

-3

votes

1

answer

31

views

Proof that the greedy for minimum coin change is correct

discrete-mathematics algorithms induction data-structure

answered 2 hours ago Ross Millikan 351k

0

votes

0

answers

17

views

$X, Y$ i.i.d and $h \in C^0 (\mathbb{R}, [a,b]) \implies \operatorname{Cov}(X,h(X)) = \operatorname{Cov}(Y,h(Y))$

probability probability-theory

modified 2 hours ago Suman Chakraborty 339

0

votes

0

answers

15

views

Numerically solving a system of linear ODEs with different time conditions?

ordinary-differential-equations numerical-methods programming

modified 2 hours ago Leon 693

2

votes

0

answers

25

views

Linear combination of random variables and independence

probability-distributions random-variables linear-transformations independence

modified 2 hours ago 900edges 413

2

votes

0

answers

12

views

Measure of time spent increasing by a Brownian motion

stochastic-processes stochastic-calculus brownian-motion stochastic-integrals

modified 2 hours ago 900edges 413

1

vote

0

answers

35

views

Inequality $\frac{x^5}{4x^4+3y^4}+\frac{y^5}{4y^4+3z^4}+\frac{z^5}{4z^4+3x^4}\geq \frac{x+y+z}{7}$

inequality contest-math

asked 2 hours ago didgogns 3,423

0

votes

0

answers

13

views

Jacobian computation for RealNVP

calculus derivatives partial-differential-equations partial-derivative jacobian

modified 2 hours ago StarLight 1

0

votes

0

answers

9

views

Is the c-index a metric?

statistics metric-spaces

asked 2 hours ago Shaki 11

0

votes

0

answers

15

views

Logical implication and material implication

logic

asked 2 hours ago TFR 21

1

vote

0

answers

11

views

Units of the derivative divided by the original function

asked 2 hours ago Joe Hunter 61

0

votes

0

answers

14

views

+50

when quadratic form restricted to tangent plane of surface is degenerate

geometry differential-geometry manifolds quadratic-forms

modified 2 hours ago math1234567 1,626

0

votes

0

answers

5

views

Bayesian network calculations

probability-theory probability-distributions bayesian bayes-theorem bayesian-network

asked 2 hours ago OreK99 9

0

votes

0

answers

5

views

Does the inclusion of the White cross term impact the White test?

hypothesis-testing linear-regression

asked 2 hours ago Bruh 372

0

votes

0

answers

5

views

Find different signals to satisfy these conditions --Fourier series

fourier-series

asked 2 hours ago narges 35

2

votes

0

answers

32

views

Compute the infinitesimal generator of standard Brownian bridge

stochastic-processes brownian-motion

modified 2 hours ago Jingyi Liu 55

4

votes

1

answer

46

views

+50

Parabolic, elliptic and hyperbolic dynamical systems

dynamical-systems

answered 2 hours ago Han de Bruijn 14.8k

0

votes

0

answers

6

views

Prove that a set of first-order formulas contains instances

predicate-logic

modified 2 hours ago paul bernays 3

0

votes

2

answers

43

views

$({\overline{E}})^C=\mathring{(E^C)}$

general-topology

modified 3 hours ago John 375

2

votes

0

answers

12

views

Solving Friedmann equation for a(t) in quintessence universe

untagged

3 hours ago ObiDonKenobi 51

1

vote

0

answers

11

views

Tricky convergences of harmonic series divided into digit-9-contained denominators and digit-9-not-contained denominators?

real-analysis sequences-and-series real-numbers

asked 3 hours ago atlantic0cean 421

2

votes

1

answer

34

views

Questions about solving equations.

logic

modified 3 hours ago Yves Daoust 196k

0

votes

0

answers

17

views

Prove the inequalites of complex vectors

calculus inequality functional-inequalities

modified 3 hours ago pxchg1200 1,790

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