Mathematics Stack Exchange

0

votes

0

answers

18

views

Expectation and variance of dice throwing game.

probability expected-value variance dice

modified 1 min ago StubbornAtom 11.8k

-2

votes

2

answers

28

views

Can anyone please give a rigorous proof of the following statement

elementary-number-theory

answered 2 mins ago J. W. Tanner 43.1k

0

votes

1

answer

11

views

Kernel of the incidence matrix of a tree is $\emptyset$

linear-algebra matrices graph-theory trees

answered 3 mins ago Ben Grossmann 168k

2

votes

3

answers

21

views

Show that $\lim\limits_{n\to\infty}{{n}\choose{x}}p_n^x(1-p_n)^{n-x}=e^{-\lambda}\frac{\lambda^x}{x!}$

poisson-distribution

answered 3 mins ago J.G. 80.1k

0

votes

0

answers

4

views

Groups and homomorphism

group-theory normal-subgroups group-homomorphism

asked 3 mins ago Anitahuss 1

2

votes

1

answer

41

views

Semiprimary rings: Sharpest bound for chain lengths of principal ideals

abstract-algebra ring-theory ideals noncommutative-algebra

answered 3 mins ago Jeremy Rickard 20.5k

0

votes

0

answers

15

views

Finding a subset of the complex plane.

calculus complex-analysis geometry

modified 6 mins ago Anton Vrdoljak 1,954

0

votes

1

answer

21

views

Yield rate as a nominal interest rate

finance

modified 6 mins ago Air Mike 1,264

1

vote

2

answers

40

views

How many ways are there to distribute 6 passengers into three different hotels?

linear-algebra combinatorics

modified 6 mins ago quasi 47.7k

0

votes

1

answer

28

views

Does $(x-1)^2+(y-1)^2 \le c\big((x-y)^2+(xy-1)^2\big) $ hold?

real-analysis inequality polynomials symmetry symmetric-polynomials

modified 7 mins ago nguyenhuyen_ag 1,331

1

vote

2

answers

22

views

Maximum of the function $F(x,y,z):=\frac{x(1-x)y(1-y)z(1-z)}{1-(1-xy)z}$

real-analysis calculus

answered 8 mins ago Alexey Burdin 4,624

0

votes

0

answers

6

views

Probability of mother and childrens have thalassemia

probability

asked 8 mins ago jacky 5,047

0

votes

1

answer

9

views

Help with some algebra on a lognormal variable raised to a power.

algebra-precalculus statistics

answered 11 mins ago angryavian 57k

-1

votes

0

answers

10

views

Is $f$ is conformal in $U \implies f \in \mathcal H(U)\ $?

complex-analysis conformal-geometry

modified 14 mins ago math maniac. 1,683

0

votes

1

answer

36

views

Infinite series without easy pattern

sequences-and-series

answered 14 mins ago Felix Marin 75.3k

-2

votes

0

answers

14

views

Checking the solution of a Congruence

number-theory modular-arithmetic

modified 14 mins ago Paco Adajar 386

-2

votes

1

answer

81

views

Is the distribution of prime numbers random?

prime-numbers

modified 16 mins ago ByDante 1

0

votes

0

answers

8

views

Evaluate $\int_0^{\pi} e^{i e^{\zeta ix}} \ dx$.

calculus integration sequences-and-series exponential-function solution-verification

asked 18 mins ago Robert Lee 931

0

votes

0

answers

15

views

Prove that $a_n$ has monotonic sub-sequence?

calculus sequences-and-series limits

asked 18 mins ago Ariel Cohen 47

4

votes

1

answer

143

views

If $N = q^k n^2$ is an odd perfect number with special prime $q$, then can $N$ be of the form $q^k \cdot (\sigma(q^k)/2) \cdot {n}$?

elementary-number-theory reference-request gcd-and-lcm conjectures perfect-numbers

modified 18 mins ago Arnie Bebita-Dris 8,185

0

votes

1

answer

14

views

Probability of a point taken from a multivariate normal distribution will be farther away from the mean than some other point.

probability probability-theory normal-distribution

modified 21 mins ago angryavian 57k

0

votes

2

answers

31

views

Countable subcover

real-analysis general-topology

modified 21 mins ago JCAA 6,086

1

vote

0

answers

19

views

Solving a coupled system of linear ODEs (one second order, the other first order)

ordinary-differential-equations

modified 23 mins ago Indrasis Mitra 93

3

votes

1

answer

20

views

A differential inequality with boundary values

real-analysis ordinary-differential-equations inequality boundary-value-problem

answered 27 mins ago Lutz Lehmann 86.3k

0

votes

0

answers

18

views

Dimension and counting ideals in a several variable polynomial ring

abstract-algebra ring-theory ideals finite-fields polynomial-rings

modified 28 mins ago user26857 42k

1

vote

0

answers

23

views

Monodromy element of a quasitriangular Hopf algebra: Why that name?

abstract-algebra algebraic-topology terminology singularity hopf-algebras

modified 32 mins ago M.C. 903

5

votes

2

answers

68

views

Ideal on $\mathbb{N}$ with certain property

set-theory filters

modified 32 mins ago Martin Sleziak 51.5k

13

votes

0

answers

86

views

Is the converse of Ramanujan's Master Theorem also true?

integration sequences-and-series

modified 34 mins ago Casimir Rönnlöf 776

0

votes

1

answer

14

views

How to solve the linear programming with constraints of $L0$-norm?

norm linear-programming

modified 36 mins ago Air Mike 1,264

1

vote

0

answers

31

views

Third isomorphsim theorem(Utilization)

abstract-algebra ring-theory

modified 36 mins ago se-hyuck yang 1,974

2

votes

1

answer

25

views

Probability of selecting spades or an ace from a deck of cards

probability combinatorics card-games

modified 38 mins ago StubbornAtom 11.8k

0

votes

0

answers

18

views

how to solve pde (the second directional derivative along the gradient)

derivatives partial-differential-equations heat-equation laplacian gradient-flows

modified 40 mins ago Air Mike 1,264

-1

votes

1

answer

13

views

How to find the equivalence of greatest common divisor

discrete-mathematics modular-arithmetic gcd-and-lcm

modified 41 mins ago Air Mike 1,264

2

votes

0

answers

13

views

What is a “Gaussian sphere” and how it can be create?

geometry algorithms computational-geometry

asked 44 mins ago ALIN 29

1

vote

0

answers

28

views

Distribution of the maximum number of collisions

probability-distributions approximation balls-in-bins

modified 48 mins ago Alexandru Dinu 338

1

vote

0

answers

8

views

Tripartite graph formed by $\{0,1,2\}^k$

graph-theory coloring

asked 49 mins ago Math123 83

0

votes

0

answers

10

views

Orbit of ordinary differential equation

ordinary-differential-equations

asked 53 mins ago young9zh 11

0

votes

0

answers

12

views

Changing order of rotations around $X$, $Y$ and $Z$-axis

geometry euclidean-geometry 3d rotations

modified 58 mins ago Air Mike 1,264

1

vote

0

answers

20

views

Spivak Calculus Chapter 1 Question 18 b

solution-verification

asked 59 mins ago Daniel B 11

1

vote

1

answer

22

views

Problem of fixed point

real-analysis fixed-points

modified 1 hour ago Arctic Char 3,782

0

votes

1

answer

15

views

Which is the correct definition of the sequence?

real-analysis sequences-and-series convergence-divergence

modified 1 hour ago Arctic Char 3,782

1

vote

2

answers

28

views

Subadditivity property of relative entropy

information-theory entropy marginal-distribution

modified 1 hour ago E-A 3,180

1

vote

1

answer

33

views

How to best deal with pesky$\pmod 1$ calculations?

elementary-number-theory dynamical-systems

answered 1 hour ago Doctor Who 2,715

0

votes

0

answers

11

views

Mapping real coordinate space to real numbers while preserving “lexicographic order”

real-analysis order-theory

modified 1 hour ago Zachary 101

1

vote

0

answers

19

views

show that fg is primitive polynomial

abstract-algebra polynomials ring-theory

asked 1 hour ago Epsilon Delta 226

0

votes

0

answers

10

views

Recursive squaring algorithm by reducing to squaring 5 numbers

recursive-algorithms

modified 1 hour ago Alexey Burdin 4,624

1

vote

0

answers

34

views

Explorate data and statistics

statistics

modified 1 hour ago FIFRANCE 11

1

vote

0

answers

7

views

How to apply Strong Markov Property Using Definition

probability

asked 1 hour ago user712201 11

3

votes

1

answer

41

views

USATST 2013/2 Prove that the intersection of $XL$ and $KY$ lies on $BC$.

geometry contest-math euclidean-geometry

modified 1 hour ago Shubhangi 1,968

0

votes

1

answer

24

views

Finding the diameter of a circle that is against an edge

geometry puzzle

modified 1 hour ago James Flanagin 461

1

vote

1

answer

19

views

About expressing algebras like tensor products as a cartesian product of fields

abstract-algebra field-theory galois-theory solution-verification tensor-products

answered 1 hour ago Angina Seng 143k

0

votes

0

answers

9

views

Representation formula using Green's function

partial-differential-equations

asked 1 hour ago 000000000 101

2

votes

1

answer

190

views

Recursive squaring algorithm by squaring five numbers

algebra-precalculus recursive-algorithms

modified 1 hour ago Keith Tan 1

2

votes

1

answer

17

views

Lagrange multipliers in Banach space

functional-analysis nonlinear-optimization

answered 1 hour ago Oliver Diaz 9,198

4

votes

1

answer

37

views

How does $\sum_{i=1}^\infty \sum_{j=1}^\infty a_{ij} = \sum_{j=1}^\infty \sum_{i=1}^\infty a_{ij}$ follow from the monotone convergence theorem?

real-analysis measure-theory

answered 1 hour ago Kavi Rama Murthy 210k

0

votes

1

answer

24

views

Multiplicites of roots of $x^{p^k}-x$ ($p$ is prime) in $L[x]$ with $L$ as an extension of $Z_p$

abstract-algebra polynomials field-theory extension-field factoring

modified 1 hour ago Tom Johnson 77

1

vote

0

answers

16

views

How to prove sufficient condition for the integral around arc $\Gamma$ on the Bromwich contour?

complex-analysis contour-integration complex-integration inverse-laplace

modified 1 hour ago user516076 1,209

3

votes

0

answers

42

views

Does ONLY the ellipse have these properties?

conic-sections plane-geometry plane-curves affine-geometry

modified 1 hour ago Arctic Char 3,782

3

votes

1

answer

101

views

+50

Complex integration over sphere

complex-integration

modified 2 hours ago Romain S 2,331

1

vote

0

answers

17

views

MZV simplification $\zeta(\overline{2n},\bar1,\bar1)+\zeta(\overline{2n},1,\bar1)+\zeta(2n,\bar1,1)$

integration sequences-and-series closed-form zeta-functions polylogarithm

modified 2 hours ago User 628759 5,078

1

vote

0

answers

14

views

Weak * convergent vs strongly convergent.

functional-analysis operator-theory weak-convergence

asked 2 hours ago Leo 21

0

votes

0

answers

13

views

In what direction should the airplane fly not to miss the airport?

multivariable-calculus vectors

asked 2 hours ago Matthew Holder 358

0

votes

0

answers

7

views

Find value of a Fox H-function

special-functions

asked 2 hours ago pabodu 345

6

votes

0

answers

223

views

Alternative proof of the generalized associative law for groups

abstract-algebra group-theory induction alternative-proof

modified 2 hours ago Ruwimal Pathiraja 61

1

vote

0

answers

13

views

Four people at a table of six chairs

combinations

asked 2 hours ago user817708 29

1

vote

1

answer

37

views

Determine position of circle with another circle

geometry

answered 2 hours ago cr001 9,768

0

votes

0

answers

19

views

Show that the gradient flow is continuous

functional-analysis ordinary-differential-equations lipschitz-functions diffeomorphism gradient-flows

modified 2 hours ago 0xbadf00d 10.5k

2

votes

1

answer

42

views

How does one calculate what a Sum converges too?

calculus

answered 2 hours ago tomasliam 442

0

votes

0

answers

15

views

Difference between probability mass function vs the divergence?

probability statistics information-theory total-variation

modified 2 hours ago Michael Hardy 239k

1

vote

1

answer

42

views

Calculate Grade Points and Credits needed to reach a specific GPA

algebra-precalculus algorithms combinations

modified 2 hours ago Arctic Char 3,782

3

votes

0

answers

82

views

Evaluate $_4F_3\left(\frac{1}{3},\frac{1}{3},\frac{2}{3},\frac{2}{3};1,\frac{4}{3},\frac{4}{3};1\right)$

sequences-and-series closed-form gamma-function hypergeometric-function elliptic-integrals

modified 2 hours ago User 628759 5,078

2

votes

0

answers

33

views

Closed form of hypergeometric $\, _4F_3\left(\frac{3}{8},\frac{5}{8},\frac{7}{8},\frac{9}{8};\frac{5}{6},\frac{7}{6},\frac{9}{6};z\right)$

sequences-and-series closed-form hypergeometric-function

modified 2 hours ago User 628759 5,078

1

vote

1

answer

15

views

Calculate Completed Credits and Attempted Credits to reach a specific Completion Ratio

algebra-precalculus algorithms combinations

modified 2 hours ago user593295 522

2

votes

1

answer

34

views

Using complex numbers to prove Napoleon's Theorem

geometry contest-math euclidean-geometry

modified 2 hours ago Ishan 1,215

0

votes

0

answers

4

views

Kostka number under dominance relation

combinatorics representation-theory

asked 3 hours ago CO2 706

4

votes

0

answers

45

views

Construct an even analytic gamma function or similar function with given properties:

complex-analysis special-functions gamma-function

modified 3 hours ago Arctic Char 3,782

0

votes

0

answers

24

views

Prove Lipschitzianity of a function

real-analysis ordinary-differential-equations lipschitz-functions

modified 3 hours ago Arctic Char 3,782

2

votes

0

answers

15

views

Roadmap to Current Research in Probability Theory

probability probability-theory measure-theory reference-request stochastic-processes

asked 3 hours ago Irina Morozova 21

1

vote

1

answer

25

views

Let $E = \{ 1, 1/2, 1/3, 1/4, \ldots\}$. Determine the sets of interior, accumulation, isolated and boundary points

real-analysis solution-verification

answered 3 hours ago Reese 16.7k

1

vote

0

answers

10

views

calculate the gradient of inverse matrix during gradient descent

machine-learning gradient-descent log-likelihood

asked 3 hours ago cbyh 63

1

vote

0

answers

9

views

for the number of games played when the first 50 conflicts containing at least one 5-successive conflicts

probability combinatorics probability-distributions

asked 3 hours ago Junk Warrior 113

0

votes

0

answers

39

views

Conditions with Nice Young's function

real-analysis functional-analysis operator-theory convex-analysis

modified 3 hours ago Arctic Char 3,782

1

vote

0

answers

12

views

Application of the change of variables theorem on the n-ball.

multivariable-calculus change-of-variable

asked 4 hours ago PAM1499 11

1

vote

0

answers

15

views

Find the upper derivative and lower derivatives $\overline{D}\mu$ and $\underline{D}\mu$.

real-analysis measure-theory

modified 4 hours ago Arctic Char 3,782

0

votes

1

answer

43

views

For $A$ any subset of vector space $X$, is it true that $A+A=2A$?

linear-algebra vector-spaces vector-analysis

modified 4 hours ago Blue 59.7k

1

vote

1

answer

48

views

Finding $f(2020)$ given that $f(n+m) + f(n-m) = f(3n)$

functional-equations

modified 4 hours ago Arctic Char 3,782

0

votes

0

answers

14

views

Condition on function which would satisfy specific inequality

real-analysis functional-analysis operator-theory banach-spaces

modified 4 hours ago Arctic Char 3,782

3

votes

0

answers

42

views

Solve Wave Equation

partial-differential-equations solution-verification wave-equation

modified 4 hours ago Arctic Char 3,782

1

vote

0

answers

13

views

3 way partition of cartesian product

combinatorics

asked 4 hours ago peng yu 455

0

votes

1

answer

56

views

Matrix gradient and its directional derivative

matrices derivatives matrix-calculus

modified 4 hours ago cjferes 1,676

0

votes

0

answers

9

views

Practical step-size selection for Entropic Mirror Descent

optimization gradient-descent simplex

asked 4 hours ago abhgh 21

2

votes

0

answers

25

views

Does a ring isomorphic to its opposite always admit an involution?

abstract-algebra ring-theory

modified 4 hours ago Michael Hardy 239k

1

vote

0

answers

13

views

notation for sample space of combinations (not permutations)

probability

asked 4 hours ago v_Apery 11

0

votes

2

answers

26

views

Adding and Subtracting vectors

vectors

answered 5 hours ago Deepak 21.9k

1

vote

1

answer

18

views

Prove that a polyhedron contains an extreme point if and only if it does not contain a line using matrix of tight constraints

convex-analysis linear-programming polyhedra discrete-geometry

answered 5 hours ago lonza leggiera 8,901

3

votes

2

answers

111

views

How can I prove $ \left (\prod\limits_{k=1}^{2^{1999}}4 \sin^2\left(\frac {kπ}{2^{2000}} \right)-3 \right)=-1$

calculus sequences-and-series trigonometric-series

modified 6 hours ago Carl Schildkraut 16.2k

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