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0 votes
1 answer
31 views

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

0 votes
0 answers
2 views

Do Markov chains preserve measurability of functions?

0 votes
1 answer
27 views

Axiom of Regularity and nested set

1 vote
0 answers
26 views

Evaluating a binomial sum with a probabilistic interpretation

0 votes
0 answers
4 views

Universal metric of a bivariant tensor $t^i_j$.

0 votes
1 answer
9 views

In poset category elements are objects while in group category elements are arrows

1 vote
0 answers
22 views

Resolutions of semi free (or almost free) commutative dg algebras with finitely generated cohomology

0 votes
1 answer
69 views

Is the distribution of sample mean of Bernoulli random variable a Binomial distribution?

0 votes
0 answers
15 views

Find sum of infinite series with binomial coefficient

1 vote
1 answer
45 views

Cone Theorem Step 3

0 votes
1 answer
2k views

Condition For 4th degree polynomial equation having positive roots

-1 votes
1 answer
26 views

Intrinsic proof that sprays induce involutions

-2 votes
0 answers
25 views

Is this equation solvable? If yes then how

0 votes
0 answers
7 views

When is the operator associated to a sesquilinear form normal?

0 votes
0 answers
3 views

Relationship between dimension, depth, codimension and $I$-depth

2 votes
0 answers
98 views
+100

$(a+1)^{\log_a(x-2)} - a^{\log_{a+1}(x-1)} = 1$

-1 votes
0 answers
8 views

Validity of Integral Inequality: Exploring the Relationship Between Functions

2 votes
0 answers
13 views

Is it possible to approximate any nonnegative Schwartz function by square of Schwartz functions?

0 votes
1 answer
37 views

Invertible positive maps which are not automorphisms

0 votes
0 answers
12 views

Find all harmonic functions $u$ on $\mathbb{C}$ satisfying $u(z) \le x$

0 votes
0 answers
7 views

$v(x) := \sum_{i\in\Bbb N}\frac1{2^i}u(x − x_i) \in W^{1,p}(B(0, 1))$

6 votes
2 answers
3k views

Fokker-Planck equation for Ornstein-Uhlenbeck

0 votes
0 answers
2 views

Minimal Morse link-derived presentation of a rational knot

3 votes
1 answer
67 views

Every matrix is a product of two symmetric matrices

0 votes
0 answers
16 views

Without calculus, prove that sine is constant regardless of triangle size

2 votes
1 answer
20 views

Understanding the proof of Theorem 10.1 in Montgomery & Vaughan's Multiplicative Number Theory

-3 votes
0 answers
45 views

Telescopic Sum for the given question

0 votes
0 answers
14 views

How to prove the existence of this progression? Struggling with a BDMO problem.

2 votes
1 answer
48 views

Norm, convexity and composition of functions

0 votes
2 answers
146 views

When is the limit argument sufficient for showing poles?

1 vote
0 answers
54 views
+50

Confusion on the proof of Oscar Zariski's Commutative Algebra, Theorem 24 in Chapter 4

0 votes
1 answer
1k views

Finding values $a$ and $b$ so that $G(x)$ is continuous

0 votes
0 answers
11 views

Fourier transform and convolution of product of Heaviside and indicator of a ball

-1 votes
0 answers
23 views

Am I chasing an obsession or should I try doing a 2 nd masters 3rd time?

6 votes
1 answer
284 views

Minimize the area of $n$ intersecting circles

2 votes
0 answers
22 views

Finding a pole by using a fixed point iteration

2 votes
1 answer
129 views

Show that $ \int_0^{\pi\over 2}\frac{\sin(2nx)}{\sin^{2n+2}(x)}\frac{1}{e^{2\pi \cot x}-1}dx =(-1)^{n-1}\frac{2n-1}{4(2n+1)} $

-3 votes
0 answers
24 views

Combinatorics Mathematical

0 votes
1 answer
14 views

Linear system of ODE from quadratic functions

2 votes
1 answer
44 views

Has this "everything category" been defined before?

4 votes
0 answers
64 views

On the two definitions of derived functor in general triangulated category.

1 vote
0 answers
98 views

Connection between different ways to calculate the knot determinant

1 vote
2 answers
28 views

Sum of norms induced by PSD matrices

1 vote
0 answers
37 views

Improper Integral $\int_{0}^{\infty} \log(t) t^{-\frac{1}{2}} \exp\left\{-t\right\} dt$

0 votes
0 answers
15 views

how to find the self intersection of parametric curve

0 votes
1 answer
26 views

Show that $\partial x^2 = 2P(x)$ and $\partial \wedge x = 0$ (Geometric algebra)

4 votes
1 answer
532 views

Ring homomorphism from $Z_m$ to $Z_n$ where $a^2=a$ but $a\neq\phi(1)$.

0 votes
0 answers
7 views

Are log-convex functions LMI representable?

0 votes
1 answer
1k views

Lipschitz constant of continuous and piecewise linear functions

1 vote
1 answer
108 views

Geodesics as analogues to straight lines

6 votes
1 answer
2k views

Do we really need a partition of unity to define integration on manifolds

2 votes
0 answers
37 views
+50

Relation between Bessel K functions

0 votes
1 answer
53 views

Notation for domain and range of a function

0 votes
0 answers
57 views

Extending proofs to the complex numbers

0 votes
1 answer
25 views

If $X=M\oplus N$, is it true $(A\cap M)\oplus (A\cap N)\subseteq A$?

2 votes
1 answer
62 views

Number of zeros in the decimal representation of the powers of 5

1 vote
1 answer
58 views

Let $A\subseteq \Bbb R^n$, then $(\overline{A^c})^c=\mathring A$

-1 votes
0 answers
22 views

Product of k-sided dice yields a square

1 vote
2 answers
47 views

Determine all matrices, $A$, that satisfy the condition that $\operatorname{rank}(A^k) = \operatorname{rank}(A)$ for each $k \geq 1$.

0 votes
0 answers
51 views

Why is a=43 an exception?

1 vote
0 answers
50 views

If $(f_n)$ and $(g_n)$ converge uniformly on $A \subseteq \mathbf{R}$ then $(f_n + g_n)$ converges uniformly, but not necessarily $(f_ng_n)$. Why?

5 votes
2 answers
2k views

Find the Maximum and Minimum of the Given Function on the Given Plane Region

0 votes
0 answers
16 views

Limit of $∞.0$ form of an integral and Riemann sum

3 votes
1 answer
157 views

How to prove the Inverse Substitution Rule used in integration?

1 vote
2 answers
32 views

Rotation a 3D frame of a reference to match the X-axis with the direction of a unite vector.

0 votes
0 answers
17 views

Radical of a bilinear form

0 votes
0 answers
16 views

Closest Point With a Property in $L^2([0,1])$

0 votes
0 answers
14 views

Mapping of surface geodesics onto a plane as straight lines

0 votes
0 answers
25 views

Where will a plane intersecting a cone maximize the distance to inscribed spheres? (V. Arnold)

1 vote
0 answers
16 views

Stability of the viscosity solution for the HJB - stochastic optimal control

4 votes
1 answer
4k views

Prob 33, Ch. 3 - Two proofreaders reading a book with n typos - Discrete probability distributions, Blitzstein and Hwang

0 votes
0 answers
36 views

What change of basis vector order is the author performing?

6 votes
1 answer
58 views

How much data does a category contain?

0 votes
1 answer
25 views

Limit of sequence of continuous time martingales is a martingale

0 votes
1 answer
36 views

Toad Movement Model Example

2 votes
1 answer
48 views

Conditional expectation of a Ito process

5 votes
4 answers
1k views

How to prove this identity of ceiling function?

0 votes
0 answers
16 views

Techniques of showing the Order

0 votes
0 answers
11 views

Bayesian updating on expectation with many candidates

0 votes
0 answers
24 views

Calculating angle for line tangent to circle through a point

3 votes
1 answer
94 views

Algebraic relations between lemniscatic elliptic function addition formulae

1 vote
2 answers
83 views

If $a^2,b^2,c^2$ are in Arithmetic Progression, prove that $b+c,c+a,a+b$ are in Harmonic Progression.

0 votes
0 answers
14 views

Proof that checking if a graph has a Hamiltonian cycle is NP-complete

0 votes
0 answers
7 views

Finding the evolution function of a dynamical system from a game-like per-frame evolution function

1 vote
0 answers
25 views

Do we need to choose equality on $\{+\infty, -\infty\}$?

22 votes
0 answers
792 views

Functional equations satisfied by both sine and tangent functions.

2 votes
1 answer
22 views

Asymptotic Analysis of 2nd Order Differential Equation with Irregular Singular Point

0 votes
0 answers
24 views

The difference between convergence in probability and convergence in observed value

4 votes
1 answer
2k views

What can we move $dx$ around and integrate both sides when solving ODE?

0 votes
1 answer
42 views

Equality characterization of the reverse Cauchy-Schwarz inequality in a Lorentzian manifold

0 votes
1 answer
1k views

Equivalent distances

5 votes
1 answer
84 views

Is a finite semigroup with a unique idempotent $e$ always a group with unit $e$?

1 vote
1 answer
42 views

$E[\exp(-sX)\exp(-sY)]$ for two identically distributed, but correlated random variables X and Y.

0 votes
0 answers
26 views

Question on Eigenvalues/Eigenfunctions in Boundary-Value Problems

10 votes
1 answer
669 views

Show that the number of reduced residues $a \bmod m$ such that $a^{m-1} \equiv 1 \pmod m$ is exactly $\prod_{p \mid m} \gcd(p-1,m-1).$

3 votes
2 answers
138 views

Smallest prime number not divides $n$

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