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0 votes
1 answer
7 views

Random walk on hypercube : probabillity to stay at the same vertex is $1/2$

9 votes
1 answer
90 views

Find the limit of $4^n a_n$, for the recurrent sequence $a_{n+1}=\frac{1-\sqrt{1-a_n}}{1+\sqrt{1+a_n}}$

0 votes
1 answer
18 views

Understanding the proof that the differential is 0 at a local maximum (multivariable real analysis)

0 votes
3 answers
246 views

Let $ A =\{n\in\mathbb{Z}: 2 | n\}$ and $B=\{n\in\mathbb{Z}: 4 | n\}$. Prove that $n\in (A - B)$ if and only if $n=2k$ for some odd integer k.

1 vote
1 answer
31 views

Condition for being a laplacian

0 votes
0 answers
5 views

Does a Möbius Transformation map a simply connected domain to a simply connected domain?

0 votes
1 answer
12 views

How given inequality proves existence of directional derivative for given function.

0 votes
0 answers
3 views

Is the polynomial $p^{2k+2} - 4p^{k+2} + 6p^{k+1} - 4p^k + 1$ a square for integers $k \neq 1$ and $k \equiv 1 \pmod 4$?

2 votes
1 answer
47 views

Is prime spectrum the soberification of maximal spectrum?

0 votes
0 answers
5 views

area formed with an arc of circle

0 votes
0 answers
8 views

Solving a Markov chain for a reinforcement learning problem

1 vote
2 answers
28 views

Confusion to a solution to finding the Principal Part of a Laurent Series

1 vote
0 answers
24 views

Primes in Arithmetic Progression Conjecture

0 votes
0 answers
3 views

If V is a noetherian A -module then show that $S^{-1} V$ is noetherian

0 votes
0 answers
12 views

Mapping the Center of Mass of a Body

0 votes
0 answers
7 views

Prove that for every sufficiently large $n$, we can write the positive integer $n$ in the form $n = a_1+ a_2+...+a_{2018}$ with $: (a_i , a_j ) = 1 $

-1 votes
0 answers
11 views

Obtain the Cayley Graph of $\mathbb Z\star \mathbb Z_2$.

1 vote
1 answer
33 views

Given a graph that has $4$ nodes, $\exists$ edge between two nodes at probability of $0.5$, find probability that there will be no triangle in graph.

1 vote
0 answers
20 views

Exposing an Ordinary Differential Equation which I would like to be solved analytically.

-1 votes
0 answers
12 views

Exercise 3, Section 32 of Munkres’ Topology

0 votes
0 answers
16 views

Is there a "simple" proof of winding number of vector field on a cycle?

0 votes
1 answer
43 views

Why simple factorization of semisimple modules is unique?

-1 votes
0 answers
6 views

Theorem 32.3 of Munkres’ Topology

0 votes
1 answer
14 views

Weak convergence imply bounded sequences at all sample points?

1 vote
1 answer
5k views

How to determine two matrices are conjugate.

4 votes
1 answer
48 views

Learning to translate natural-language phrases to formal logic

1 vote
0 answers
12 views

$f:R\to S$ is finite injective and $S$ is of dim $1$

1 vote
2 answers
25 views

Negative-Binomial probability problem

-1 votes
0 answers
9 views

About explicitly constructing a probability space and a random variable which has normal distribution

1 vote
1 answer
18 views

4 Tangent Sphere

0 votes
0 answers
9 views

Inequality on sum of Energy of induced graphs

1 vote
2 answers
42 views

Linear differential equation of the second order with a regular singular point

0 votes
0 answers
7 views

Is it possible to easily calculate the resulting number if I add a random integer to all of the prime factors of a given number?

0 votes
1 answer
8 views

Calculate point coordinates on 2D plane, given another point, angle and distance

0 votes
0 answers
5 views

alternating zeros of eigenfunction of Sturm-Liouville

-1 votes
0 answers
10 views

Complete the square of $-n\theta+2\theta\sum{ln(x_i)}$ and then substituting for normal distribution

0 votes
0 answers
7 views

recursive or least square

0 votes
0 answers
5 views

If $Y$ is a Markv process, how can we calculate $\operatorname P\left[Y_{s+t-\sigma};\sigma\le s+t<\tau\in B\mid\mathcal F_s\right]$?

0 votes
0 answers
6 views

Formulate $P_0(\inf\{n\ge 1 : X_n=0\} \ge 2n)$ for random walk on $\mathbb{Z}$

0 votes
0 answers
8 views

Brownian motion change of measure becomes smooth

-1 votes
0 answers
7 views

Prove transition matrix Q is reversible and has the same invariant measure at P

3 votes
1 answer
23 views

Final value theorem for non-rational transfer functions

0 votes
1 answer
27 views

Proving Brouwer's fixed point theorem using fundamental groups

0 votes
1 answer
28 views

Converse of Parametric equation of plane

0 votes
0 answers
28 views

Laplace Operator is the same as the sum of second partial derivatives

-1 votes
0 answers
34 views

How to find probability in this question

2 votes
0 answers
29 views

Are there functions which take themselves as input?

1 vote
0 answers
15 views

In the definition of Product $\sigma$ algebra while considering the triple product is $\sigma_A ×\sigma_{(B×C)}$ a sigma algebra?

1 vote
0 answers
12 views

How do we calculate the expectation of the exponential of a matrix with normally distributed entries?

-2 votes
0 answers
16 views

how can I draw the following scenario?

0 votes
0 answers
21 views

Where I went wrong in this chain of arguments - Linear algebra

0 votes
0 answers
11 views

If $d(x,y) = \int_a^b |x(t)-y(t)| dt$ prove that $(X,d)$ is a metric space for $x,y \in X$ & $[a,b]$ into $\mathbb{R}$

1 vote
0 answers
31 views

What card face value cardinality patterns can always be shared by all 4 players with 13 cards each?

1 vote
0 answers
10 views

Determinant of $(p(x_i-x_j))_{1 \leq i,j \leq n}$ for polynomial $p(x)$.

-3 votes
0 answers
22 views

Issues writing latex equations.

2 votes
1 answer
42 views

Find a lower bound of the Maximal function of $f(x) = \frac{1}{x (\log x )^2}$ in $x \in (0,1/2)$.

1 vote
2 answers
30 views

Team of 3 children, & a captain is required. 10 children can play chess of whom only 3 qualified to act captain. Find number of ways to select team.

1 vote
1 answer
31 views

Single Solution for this Recurrence: $a(n)=3^n-a(n-1)+1$

1 vote
0 answers
35 views

First order non linear inhomogeneous ode

2 votes
0 answers
38 views

Unitors in star-autonomous categories

1 vote
0 answers
8 views

Asking about proposition related to Sobolev and Bergman spaces

0 votes
0 answers
23 views

Prove that $P(x)=0$ have only one real root and the root lies between $(1,2)$.

2 votes
1 answer
18 views

Convergence of integrals without the dominated convergence theorem

-1 votes
0 answers
16 views

What does it mean when set (of indexes) has a superscript?

0 votes
1 answer
30 views

Measure based Probability arising in a simple question

1 vote
0 answers
7 views

Maximizing the probability of collisions when selecting subsets of random integer distributions

1 vote
0 answers
46 views

Outer automorphism of the real Lie group $\mathrm{SL}(2,\mathbb{C})$

2 votes
0 answers
33 views

Implications of $Q\vdash \lnot Con(Q)$

0 votes
0 answers
10 views

Minimize $Q(t,s) = \mathbf{w}^\top \begin{pmatrix} r(t, t) & -r(t, s) \\ -r(t,s) & r(s, s) \end{pmatrix}^{-1} \mathbf{w}$ in $(t, s)$

-1 votes
0 answers
13 views

Vectors and Matrices/Elementary Linear Algebra Question "If A, B are matrices such that AB = I then matrix A *might* be invertible"

0 votes
0 answers
6 views

SVEP property on the sobolev and Bergman spaces

0 votes
0 answers
9 views

Calculating arc length of Bezier curves by hand

0 votes
0 answers
4 views

Rotated gradient in polar coordinates

0 votes
0 answers
5 views

If $A$ is upper Hessenberg, and $v\in\text{span}\{e_1,...,e_k\}$ for some $k < n$, show that $v, Av, A^2v, A^3v,...,A^{n-k}v$ are linearly independent

1 vote
1 answer
21 views

How to find the roots of a linear combination of transcendental functions.

2 votes
0 answers
52 views
+50

Is it true that $ \sum_{i=1}^{\infty}\left(M_{i-2} M_{i}-M_{i-1} M_{i-2}\right)<\infty, \text { a.s? } $

3 votes
0 answers
33 views

A curious limit: area between a regular n-gon with side length 1 and an inscribed curve with the same perimeter

0 votes
0 answers
9 views

Irrational combinations of rationally independent polynomials.

1 vote
0 answers
17 views

Showing that $(I : J) : K = I : JK$ for polynomial ideals $I, J, K \subset k[x_1,\dots,x_n]$

0 votes
0 answers
15 views

Find $\alpha$ and $\beta$ such that $\sum_{n=1}^{\infty}\arctan({\frac{1}{n^{\alpha}}})-e^{\frac{2}{n^{\beta}}}+1$ converges

1 vote
0 answers
12 views

Number of functions mapping consecutive numbers to consecutive letters .

1 vote
0 answers
17 views

Can we say the above iteration has a unique fixed point?

1 vote
0 answers
9 views

Small detail in proof of Lemma 1.2 in Frieze and Karoński's 'Introduction to Random Graphs'

1 vote
0 answers
11 views

How can higher-order logic be expressed as many-sorted first order logic?

1 vote
0 answers
25 views

How to prove z=0 is a removable singularity?

-1 votes
0 answers
28 views

How do you find the line perpendicular to $y=6$ passing through $(-1,6)$?

2 votes
0 answers
28 views
+50

How to prove that there exists $C_1>0$ such that $ \max\{\|f_{n+1}-f_n\|_{\infty}, \|g_{n+1}-g_n\|_{\infty}\}\le 2^nC^nC_1^n\frac{T^n}{n!} $?

1 vote
0 answers
10 views

Spectrum and essential spectrum of a skew-adjoint operator

3 votes
0 answers
34 views

Irreducibility of $x^{q-1}-\gamma$ in finite field $\mathbb{F}_q$

0 votes
2 answers
904 views

Random walks and probability of hitting any point

1 vote
2 answers
125 views

What do $\frac{\partial}{\partial z}$, $\frac{\partial}{\partial x}$, $\frac{\partial}{\partial y}$ mean?

0 votes
1 answer
1k views

Confusion regarding vector line integrals

0 votes
0 answers
17 views

Homotopy classes of simple closed curves in punctured torus are in correspondence with those in torus

1 vote
0 answers
24 views

If $A$ has distinct eigenvalues, then all matrices close enough to $A$ also have distinct eigenvalues

0 votes
0 answers
35 views

Calculating the Dunford integral for a position and momentum operator from quantum physics

0 votes
0 answers
46 views
+50

How patch a proof about Mysior's counterexample?

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