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0 votes
1 answer
23 views

How to evaluate $\int_{-1} ^ 1 \frac{1}{(8 + x ^ 2)\sqrt{1 - x ^ 2}} dx$?

1 vote
0 answers
28 views

Why cyclic subgroup of $\text{Gal}(L/K)$ is achieved by some decomposition group?

0 votes
0 answers
15 views

Is every (finite) simplicial complex the nerve of some covering?

5 votes
3 answers
110 views

Combinatorics - find number of ways to distribute students

0 votes
2 answers
35 views

Find all real roots of the irrational equation $\sqrt{3x^2+x-1} + \sqrt{x^2-2x-3} = \sqrt{3x^2+3x+5} + \sqrt{x^2+3}$ .

1 vote
0 answers
12 views

Upper bound for $ \prod_{i=0}^{k^2} \left(1 + \frac{n-1}{k+(n-1)i}\right) \left(1 - \frac{1}{k+(n-1)i}\right)^{n-1}$

0 votes
0 answers
6 views

Does the change from max voltage to zero in a capacitor behaves mathematically like a portion of a cos function?

0 votes
3 answers
37 views

How does the solution make sense for this ODE about distance and time?

0 votes
0 answers
16 views

Find the reminder of a very large number (power of to the power of to the power of etc)

0 votes
0 answers
7 views

Accessible result motivating Arithmetic Geometry

1 vote
1 answer
27 views

A problem in L1 space

0 votes
0 answers
12 views

Convergence of Infinite series limit

-2 votes
1 answer
25 views

Prove that a fuction $T(n)$ is $O(n)$

0 votes
0 answers
15 views

prime which splits into $g$ distinct primes ideals in given extension $L/K$

17 votes
1 answer
486 views

Computing cohomology of Cech-De Rham Complex

0 votes
0 answers
3 views

Minimal conditions: convergence integrated difference quotient implies convergence difference quotient

1 vote
0 answers
50 views

Trace of a function and $L^\infty$ norm

0 votes
0 answers
5 views

MAE and RMSE by groups

0 votes
1 answer
25 views

Can the notation in the attached image be the correct notation of the ordered pair?

0 votes
0 answers
28 views

Combination of the Dirichlet and Cauchy problems, find the PDE by which $\mathbb{E}_x M(X_{\tau_D \wedge t})$ is met.

0 votes
0 answers
9 views

How to understand whether order matters or not in probability problems?

2 votes
0 answers
30 views

Largest RKHS norm of 1-Lipschitz functions on bounded domain and range

2 votes
0 answers
51 views

If $\zeta(5)=\frac{a}{b}\in\mathbb{Q}$ then $b\neq p^k$

4 votes
1 answer
42 views

Problematic limit $\epsilon \to 0 $ for combination of hypergeometric ${_2}F_2$ functions

1 vote
1 answer
30 views

Conditional Probability for A and B

0 votes
0 answers
23 views

How might one estimate the number of samples in a uniform distribution given only the sample range?

0 votes
0 answers
14 views

composite functions with individual surjective analysis

0 votes
0 answers
12 views

A special kind of poisson summation formula

2 votes
2 answers
33 views

Estimates for incomplete Gamma functions

0 votes
0 answers
4 views

Example of an homogenous function

3 votes
1 answer
48 views

Is a chordal graph with exactly two simplicial vertices an interval graph?

0 votes
0 answers
59 views

Problem on transformation

0 votes
0 answers
325 views

Sketching in a special case that Brocard's problem have only finite primitive solution i.e Brown's numbers

1 vote
1 answer
9 views

Weighted shift operators with absolutely equal weights are unitarily equivalent

5 votes
1 answer
116 views

Reference for Shooting Method

0 votes
1 answer
13 views

Simple ergodic convergence proof for iid

0 votes
0 answers
16 views

Is the boundary of a box a smooth manifold?

0 votes
0 answers
30 views

Concerning some quadratic field extension $[L:\mathbb{C}(u,v)]=2$

1 vote
0 answers
10 views

"Natural density" of a subset of the plane

1 vote
3 answers
177 views

Proof by contradiction (2 ways of writing it)

4 votes
1 answer
952 views

Global sections on quasi coherent sheaves on affine scheme

0 votes
1 answer
28 views

The equation $x^5 - 2x^4 - 1 = 0$ has five complex roots $a, b, c, d, e$ . Find the value of $\sum \frac{1}{a^8}$.

0 votes
0 answers
10 views

Numerically stable calculation of eigenvector derivatives for repeated eigenvalues

0 votes
0 answers
10 views

How to compare real-time physiological data between pre-defined time blocks

3 votes
1 answer
46 views

Minimum value mismatch

0 votes
0 answers
20 views

Surface integral of the second type

3 votes
2 answers
32 views

probability convergence as compactness for a.s. convergence

2 votes
1 answer
26 views

2 Commuting, Continuous mappings from a closed interval onto itself doesn't always have a common fixed point.

0 votes
0 answers
46 views

Positive semidefiniteness of Laplacian of undirected graph

0 votes
0 answers
13 views

Using Chebyshev inequality, determine the minimum number of coin tosses such that tails appear 450-550 times with probability 0.97

0 votes
0 answers
4 views

Estimating simple regression scaling parameter with the characteristic function

2 votes
1 answer
1k views

probability question with couple

0 votes
1 answer
21 views

Generalized Bernoulli Polynomial Difference Formula

11 votes
0 answers
445 views

What is the probability that the absolute value of the roots of a polynomial of degree $n$ is greater than $x$?

0 votes
1 answer
16 views

Intuition on Kolmogorov 3 Series Theorem

0 votes
0 answers
12 views

laplacian of signed graph

0 votes
1 answer
10 views

Proof of the "local property" of limits

1 vote
0 answers
7 views

Expectation of bessel process conditioned on starting point

1 vote
0 answers
20 views

Proof of second partials test for saddle points - why does Hessian need to be nonsingular?

0 votes
0 answers
31 views

Inversion formula for discrete sine and cosine transforms

1 vote
0 answers
41 views

On the axioms of the real number system as stated in Apostol’s textbook

0 votes
0 answers
10 views

Calculate Components of square integrable functions w.r.t. some basis

0 votes
0 answers
19 views

Understand the upper bound of $\sum_{j=1}^n\cos(\theta_1-\theta_j)$

3 votes
1 answer
67 views
+50

Equivalent definitions of affine function: Dose$f(\gamma x +(1-\gamma)y)=\gamma f(x)+(1-\gamma)f(y)$ on convex set $S$ imply linearty of $f$ on $S$?

0 votes
0 answers
7 views

If $\sqrt{n}(\operatorname{vech}X_n-\operatorname{vech}X)$ weakly to $N(0,\Gamma)$, then what can we say about the weak limit of $\sqrt{n}(X_n-X)$?

2 votes
2 answers
60 views

Find the size of the segment between $2$ points belonging to two tangents described below

4 votes
1 answer
250 views

Initial Boundary Value Problem for Wave Equation$ u_{tt} = 4u_{xx}$.

1 vote
1 answer
28 views

The variation of a complex measure is finitely additive.

0 votes
0 answers
8 views

Proof for Watanabe’s martingale characterization of the Poisson Process

0 votes
0 answers
24 views

Why Is the Following Proof of a Finite Nonempty Totally Ordered Set Containing Its Maximum Wrong?

1 vote
0 answers
21 views

What's exact result of the integral related to Bessel's function?

0 votes
0 answers
10 views

Search for a statistical test to analyze the "home ground advantage" for rugby matches

1 vote
0 answers
21 views

Help in understanding this example in Kechris on the Borel heirarchy

1 vote
0 answers
16 views

How to force a product of two i.i.d. random variable to be gaussian

3 votes
0 answers
30 views

An unintuitive expected value in a coin toss sequence

0 votes
0 answers
18 views

Folner sequence in countable abelian group.

0 votes
0 answers
9 views

Ergodicity when the variance doesn't converge

0 votes
0 answers
13 views

About exercise of group representation

5 votes
1 answer
191 views

Associativity of infinite products

2 votes
0 answers
33 views

Completeness of $sin(kx)_{k=0}^{\infty}$ in $L_1[1, 4]$

0 votes
0 answers
16 views

Geometric Morphisms and Fibrations in Higher Category Theory

1 vote
0 answers
28 views

Minimum cardinality of a set on which a perfect group acts transitively

1 vote
0 answers
15 views

Limit of stochastically continuous process

0 votes
0 answers
5 views

How to justify the way the ghost nodes are applied in Finite Difference Method?

0 votes
0 answers
5 views

Find impulse response to this first order difference linear equation

0 votes
1 answer
23 views

Example of Critical Path

3 votes
2 answers
81 views

Size of the set of all $f:${$1,2,3,4,5,6$} $\rightarrow$ {$1,2,3,4,5,6$} s.t. $\forall n \in${$1,2,3,4,5,6$} $f(n) \neq n$ and $f(f(f(f(f(f(n))))))=n$

3 votes
2 answers
2k views

Counting the number of rooted $m$-ary trees.

4 votes
2 answers
660 views

Amari's Generalized Pythagorean Theorem [Theorem 1.2, Information Geometry and Its Applications]

3 votes
1 answer
22 views

Hamiltonian Paths and Cycles in Graphs

6 votes
1 answer
176 views

$\int_{0}^{1}\ln^2\Gamma(x)\ln\Gamma(1-x)\ dx$

0 votes
0 answers
17 views

About group representation

-1 votes
0 answers
14 views

Trying to understand first-order approximation for derived result.

4 votes
3 answers
301 views

Does $ \int_0^{\infty} f(t) e^{-\alpha t} dt $ converge?

0 votes
1 answer
76 views

Paolo Aluffi's Algebra Chapter 0 - rational canonical form Theorem VI.7.5 vs Theorem VI.5.6?

0 votes
0 answers
42 views

A Borel set with convex sections has a Borel projection

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