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2 votes
1 answer
35 views

Prove that $Char(F) \neq 0$ given that for all $x \in E$ there exists $n$ such that $x^n \in F$

0 votes
2 answers
33 views

Prove an equality with $\theta$ given that $\cos\theta=\sin^2\theta$

-1 votes
1 answer
26 views

How many numbers satisfy this equation?

-1 votes
0 answers
21 views

3 people splitting a bill

1 vote
2 answers
61 views

Determine Intersection between a Plane and a Line Rotated about an Axis of Rotation

4 votes
1 answer
98 views

Value of expression $\frac{1}{1+z^{8k}+z^{16k}}$

6 votes
1 answer
142 views
+50

Why Doesn't the St Petersburg Paradox Happen All the Time?

0 votes
1 answer
18 views

Find the number of rectangles not containing the shaded square

0 votes
0 answers
8 views

Simplifying eigenvalue calculation where only one non-zero element is shared by a row and column.

-1 votes
0 answers
7 views

All the vectors of field $F$ point radially outward and their magnitude is a differentiable function $f(r)$ of $r$ alone. Show that curl $F$ = 0.

0 votes
0 answers
7 views

Case of equality in Jensen's Inequality

0 votes
1 answer
1k views

Natural params and sufficient statistics in multivariate normal distribution

0 votes
0 answers
18 views

how to calculate $\sum\limits_{k=1}^{+\infty }{\arctan \frac{1}{1+k^{2}}}$

0 votes
0 answers
4 views

Geometric explanation of Fueter-Sce-Qian theorem and similar situations

0 votes
0 answers
20 views

Extending a homeomorphism uniquely from a closed subset

0 votes
0 answers
20 views

Epsilon delta proof with log and sin

0 votes
0 answers
15 views

A question on an presumably erroneous proof

0 votes
1 answer
32 views

Example of an uncountable subset of $\mathbb R$ which cannot be proved to have the same cardinality as $\mathbb R$

0 votes
1 answer
70 views

Sum of the fifth powers of the first n numbers

0 votes
0 answers
16 views

How to show this matrix limit?

0 votes
0 answers
34 views

Prove the following relationship of the number e and then show that it is irrational

0 votes
0 answers
9 views

What is formula for parametric equation of the curve going counterclockwise

0 votes
0 answers
9 views

Number of diferent binaries sub-sequences

0 votes
0 answers
16 views

NFA that is divisible by 2 or 3

0 votes
0 answers
32 views

Is it possible to separate this complex-number definition into a real-number definition and an imaginary-number definition?

2 votes
0 answers
76 views

Did my TA make a mistake regarding probabilities?

0 votes
1 answer
10 views

Any copula to force one variable larger than the other in the joint?

0 votes
1 answer
28 views

Evaluating the integral $\int_0^{1}\int_{0}^{2\pi}x\delta (v-x\cos\theta)dxd\theta$

2 votes
1 answer
83 views

Cubic curves and their lattices

0 votes
0 answers
5 views

Line integral around the origin involving bivariate polynomials

0 votes
0 answers
10 views

Substitution for Weierstrass Substitution

0 votes
0 answers
17 views

How to come up with the generating function of an elliptic curve?

2 votes
0 answers
34 views

A Surprising Sum

2 votes
1 answer
24 views

Convergence radius for Cauchy multiplication series

-1 votes
0 answers
33 views

the coefficient of $x^{15}$ without using computer

0 votes
0 answers
12 views

Are these restatements of m-equivalence correct?

-1 votes
0 answers
14 views

Differentiability and continuity of the value function of optimal stopping problem

0 votes
0 answers
28 views

How is different unbounded and bounded?

0 votes
0 answers
67 views

Show some proofs in the set $M=\{a+x+\sqrt{a-x+x^2}|x\in N\}$

0 votes
0 answers
21 views

Why is the demonstration of the "sample" standard deviation somehow more exact than the classic standard deviation, if $\frac{x}{n} ≠ \frac{x}{n-1}$?

2 votes
1 answer
62 views

Conditional distance distribution between 2 points given the distance to another point

5 votes
1 answer
207 views

Minimize $\frac{1}{2}\sum_{k=1}^m (x_{k+1}-x_{k})^2$

0 votes
0 answers
41 views

What are the derivatives of the cardinal trig functions?

0 votes
0 answers
14 views

Center of a bimodule

1 vote
1 answer
134 views

geometry problem where the solution involves the use of some properties of complex numbers in geometry

1 vote
1 answer
34 views

Determine all $(p,q)$ where Lorentz quasi-norm $\|\cdot\|_{L^{p,q}}$ is norm

0 votes
0 answers
49 views

Eigenvalues of product of rotated diagonal matrices

2 votes
1 answer
71 views

Is the positive fragment of second-order logic will full semantics compact?

0 votes
0 answers
14 views

Continuity of this multivariable function

0 votes
1 answer
49 views

Existence of an Schmidt decomposition

0 votes
0 answers
37 views

About elements in affine extended Weyl group

-1 votes
0 answers
44 views

The sum of five natural numbers, two of which are greater than 40, is 127. Accordingly, what is the largest of these numbers?

1 vote
0 answers
42 views

Let a r.v. $0\leq X \leq 1$. Prove that $V(X) \leq \frac{1}{4}$. When do we have an equality?

3 votes
4 answers
6k views

Is the Nash Equilibrium example in a "Beautiful Mind" accurate?

0 votes
0 answers
12 views

Clarification on Gluing Manifolds and Hausdorff Condition

0 votes
0 answers
14 views

measure of the set $ |G(x_1, x_2, \dots, x_n)| \leq \lambda $

-2 votes
0 answers
25 views

Equation of a sine function (i.e. in the form of $y = a \cdot \sin [d(x-h)] +k)$ that passes through four distinct arbitrary points

0 votes
0 answers
24 views

Taylor coefficients and termwise integration

0 votes
0 answers
29 views

Observations on the associativity of the tensor product between two modules.

3 votes
1 answer
125 views

Reference request: Why is an integrable system called an integrable system and why is the dynamical billiard on a disk completely integrable?

4 votes
0 answers
84 views

Ratio of cubic and quadratic form is approximately normal?

1 vote
0 answers
17 views

Homogeneous function from monotonic functions

0 votes
1 answer
39 views

Can I use the BFGS algorithm in combination with a L1-Norm penalized LLH to get exact zeros?

0 votes
0 answers
5 views

How to computer camera FOV given corresponding points in world space and view space

0 votes
0 answers
25 views

Understanding Asymptotic Equalities

0 votes
1 answer
40 views

Optimal Strategy / Stopping Time for repeatedly rolling a die with diminishing payoff

0 votes
0 answers
19 views

How to generate (normally or uniformly distributed) random vectors (directions) on the restricted surface of a specific hyperplane

0 votes
1 answer
158 views

Given $n$ points, what is the locus of points $X$ such that the sum of the squares of the distances from $X$ to each point is a given constant?

0 votes
0 answers
19 views

Sound level dropoff from sources of different shapes

0 votes
0 answers
9 views

questions about proving ACF(Algebraically Closed Fields) has quantifier elimination

0 votes
1 answer
36 views

Is $\bar{\mathcal{E}}=\mathcal{E}\cup F$, where $\mathcal{E}$ is the set of all elementary subsets of $\mathbb{R}$ and $F$ is finite or countable?

3 votes
1 answer
1k views

kernel matrix with trivial solution only

0 votes
0 answers
18 views

Proving that a change-of- basis map is an isometry between complex hilbert spaces( to prove Uniqueness of purifications)

2 votes
2 answers
101 views

How to put 6 rooks which they wont' attack each other?

0 votes
0 answers
12 views

Volume of water in a tilted paraboloidal bowl

1 vote
1 answer
22 views

Doubt about sampling without replacement

0 votes
0 answers
26 views

Defining ordered tuples of arbitrary length in NBG

10 votes
0 answers
169 views

If $a^n+b^n|(ab)^n+1$ for each $n\in\mathbb{N}$ then $1\in\{a,b\}.$

1 vote
0 answers
5 views

Three annulus intersection problem

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3 votes
1 answer
62 views

Exercise 1.1.9 from West

-3 votes
1 answer
109 views
+100

When a multinomial coefficient is equal to a factorial $k!$ $k$ a strictly positive integer?

3 votes
0 answers
59 views

Limiting behaviour of state vector under delayed (de-coupled) inputs

0 votes
0 answers
7 views

Importance Sampling Using Cross Entropy Minimization (Rare Event Probability Estimation)

0 votes
1 answer
19 views

Gradient of the product of two functions, each defined on a manifold

2 votes
1 answer
221 views

Prove that a Lagrangian that Induces a Linear Elliptic Euler-Lagrange PDE has Unique Form

0 votes
0 answers
16 views

How to evaluate $\sum_{n=1}^{\infty}\frac{H_{n}^{(2)}}{n^{4}}$

0 votes
0 answers
14 views

Optimal Stopping Problem as an $L^p$ function?

0 votes
0 answers
17 views

Chain rule for differentiation of distributions

11 votes
0 answers
323 views
+50

Proof $\pi$ is transcendental without symmetric function theory

0 votes
0 answers
16 views

Best constant for Sobolev inequality from Sobolev space to Hölder space

0 votes
0 answers
5 views

Techniques on how to stochastic optimize.

1 vote
0 answers
25 views

Between two rectangles, find closest possible position such that edges of rectangles touch

0 votes
0 answers
24 views

existence of a graph with chromatic number of 5, radius of 5, and diameter of 5

1 vote
0 answers
12 views

Does a polynomial $P(X,Y)$ that specializes to a polynomial $P(x_0,Y)$ with distincts roots in $\overline{k}$ has distincts roots in $\overline{k(X)}$

5 votes
0 answers
35 views

What's the point of naturality in the definition of an adjunction?

0 votes
0 answers
34 views

How to solve the limit of the following trigonometric functions?

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