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0 answers
5 views

let d ( n ) is the number of divisors of a natural number, if (m,n)=1 then d ( m n ) = d ( m ) d ( n )

2 votes
0 answers
34 views

Prove that a given symmetric set of bilinear equations has only symmetric solutions.

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6 views

ratio of radical expressions, singularities are removable, then can be it written such that the denominator is nonzero

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1 answer
40 views

What is the accurate definition of inference rule?

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4 views

Joint measurability of strongly continuous vector-valued function

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1 answer
20 views

How to calculate the quasi-component?

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10 views

Prove an inequality for strongly convex function

-1 votes
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56 views

How to prove the inequality for the standard deviation of a linear combination of two random variables

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1 answer
30 views

Linear transformation of equation using inverse matrix method

1 vote
0 answers
51 views

Partition of $\mathbb R$ in convex subsets/badly ordered sets

4 votes
1 answer
59 views

When is this closed set compact

1 vote
0 answers
11 views

Composition of corestriction and restriction $\text{Res}\circ \text{Cores}$ in the context of group cohomology

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0 answers
9 views

Reference Request: In Zariski &Samuel's Commutative Algebra (volume I), should the definition of length of an ideal be modified?

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0 answers
8 views

Show that φ ◦ f is subharmonic

1 vote
0 answers
56 views

Separating Gamma in two independent functions

1 vote
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8 views

extended Euclidean algorithm: final coefficients equality

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4 views

Rank of sheaf of differentials greater than dimension of fiber

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0 answers
3 views

For a proper Lie group $G$ acting on a complete Riemannian manifold $M$ by isometry, can we find $p'$ close to $p\in M, d(p,p')>d_{M/G}([p], [p'])?$

1 vote
1 answer
64 views

Finish this proof of gradient in polar coordinates

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1 answer
20 views

Understanding the Extension Problem and the Positivity of an Operator

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13 views

Understanding the conic section

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11 views

Solving y = BX using Gram Matrix

2 votes
1 answer
74 views

Constructing infinite 3-connected quadrangulations containing only induced 4-cycles and induced 6-cycles.

2 votes
0 answers
9 views

$T_4/\langle\{b^nab^{-n}\mid n\in\mathbb{Z}\}\rangle$ and the real line with a loop attached to each integer point

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0 answers
20 views

Grothendieck group of the Category of Finitely Generated R-Modules is Isomorphic to $\mathbb{Z}$

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0 answers
18 views

Recommendations on numerical methods and numerical analysis books for machine learning?

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48 views

Why is $A^{-1}$ existing a necessary condition for $x$ to be unique in $Ax = b$?

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38 views

Trace condition implies matrix is unitary

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1 answer
30 views

Trying to Prove set Identities

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19 views

Efficient proof that a number is NOT a Zumkeller number?

3 votes
1 answer
31 views

I want to bound the entries of the matrix $\mid A^{-1} \mid \mid A \mid$

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0 answers
5 views

Expand product of sums in sympy by introducing new dummy indices

1 vote
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11 views

Distributive Lattices, proper filters and prime filters

0 votes
1 answer
25 views

Animal Inheritance Puzzle

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0 answers
17 views

prove$log(x)=o(\frac{1}{x^{\alpha}})$ as $x\rightarrow 0$

0 votes
0 answers
7 views

In the adjacency matrix of a graph with n vertices and m edges

3 votes
2 answers
1k views

How do I determine the average number of successes, variance, and standard deviation, for a given set of die rolls.

2 votes
0 answers
31 views

Proving Munkres Theorem 51.3

2 votes
0 answers
17 views

Boundary $\partial U$ is Lipschitz-continuous and piecewise $C^1$

1 vote
1 answer
17 views

Derive the 0-1 law from a functional equation of a martingale limit

1 vote
0 answers
5 views

Does topological conjugacy hold in the hyperbolic subspace of linearizations?

2 votes
1 answer
53 views

Nature of infinity

3 votes
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23 views

An example of continuous and nowhere-differentiable function

2 votes
1 answer
58 views

A subtle point about vector space isomorphisms

2 votes
1 answer
23 views

Proof of $K_0(z)=-\left(\log\frac{z}{2}+\gamma\right)I_0(z)+\sum_{n=1}^\infty \frac{(z/2)^{2n}}{n!^2}H_n$

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0 answers
12 views

Convergence and Continuity question Weierstrass M-test??

1 vote
0 answers
12 views

How to compute probability of event E happening and having K occurences of E within the last M trials

6 votes
1 answer
92 views

Confusion regarding vector/matrix multiplication in index notation

5 votes
3 answers
151 views

Evaluate $\int\limits_{0}^{\infty}\frac{n \sin x}{1+n^2x^2}dx$

1 vote
0 answers
8 views

Logistic regression with gradient descent derivation

2 votes
0 answers
53 views

Any splitting field $K/F$ containing a radical extension $R_t/F$ is itself a radical extension

-1 votes
0 answers
17 views

In the question below, would I have to apply the ratio test to solve it?

1 vote
0 answers
69 views

computation of the gram matrix for natural energy descent

2 votes
1 answer
24 views

uniqueness of the inversion to Riemann-Stieltjes integral equation

0 votes
0 answers
26 views

I solved a problem but I'm not sure where I am wrong. - game of craps

0 votes
1 answer
19 views

Maximum of minimum is less than or equal than minimum of maximum

0 votes
1 answer
28 views

Isomorphism of real quaternion algebra with the Hamiltonian quaternion.

3 votes
1 answer
40 views

Are these two groups $\mathbb{Q}[x]$ and $\mathbb{Q}$ under addition isomorphic or not?

3 votes
0 answers
81 views

What kind of principles of reasoning can we use for classes in ZFC?

6 votes
3 answers
220 views
+100

Diophantine equation $2x^4 + 2x^2 y^2 + y^4 = z^2$

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0 answers
10 views

Find the covariance

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0 answers
28 views

How do I show that the region {r > 2m} of the Schwarzschild spacetime is globally hyperbolic?

1 vote
0 answers
34 views

Help in solving PDE with charasteristic equation problem

1 vote
0 answers
28 views

Solution to Brachistocrone with friction

6 votes
1 answer
1k views

When is a generalized Vandermonde matrix over a finite field invertible?

0 votes
1 answer
14 views

Defining majorization of vectors using doubly stochastic matrix

1 vote
0 answers
8 views

Coframe on coset space via connection one form

6 votes
0 answers
153 views

How did Ramanujan find $\sum_{n=0}^\infty (-1)^n\frac{(1/2)_n(1/4)_n(3/4)_n}{n!^3}\frac{644n+41}{25920^n}=\frac{288\sqrt{5}}{5\pi}?$

1 vote
2 answers
47 views

Why is the relation $\{(1,1),(2,2),(3,3)\}$ antisymmetric and transitive?

0 votes
0 answers
8 views

3-dimensional convex polytope with adjacent vertices is a 3-simlpex

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0 answers
10 views

Closed linear span of unit standard vectors in $\ell^{p}$

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0 answers
27 views

Complete set of local orthogonal idempotents in $\mathbb{Z}_n$

1 vote
1 answer
33 views

A geometric algebra to represent lines and circles

1 vote
1 answer
907 views

Compact set in lp space

1 vote
0 answers
14 views

Approximation of bounded borel measurable function with continuous function such that $\int^{1}_{0}|\frac{f(x)-g(x)}{x}|^2dx < 1$

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0 answers
25 views

Evaluating series using Fourier expansion

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0 answers
34 views

Probability that two paths don't intersect

1 vote
0 answers
19 views

Why pullback of ideal sheaf should be the conormal sheaf?

0 votes
0 answers
13 views

Why is this local chart on a fibre bundle $(E, M, \pi, L)$ compatible with the given smooth structure on $E$?

0 votes
0 answers
25 views

How can one rigorously demonstrate that some function (not bounded) is $ H^1(\Omega)$

6 votes
1 answer
178 views

Evaluate $\int_0^\infty\frac{dx}{1+x^2}\prod_i\arctan a_ix$ (product of arctangents and Lorentzian)

1 vote
0 answers
17 views

Probability of Different Outcomes Being First Given Base Probabilities in a Random Order

0 votes
3 answers
33 views

Question regarding proof that a complex number lies on a line

0 votes
0 answers
18 views

Karhunen–Loève theorem proof

1 vote
0 answers
12 views

Probability distribution for boundaries on brownian motion

1 vote
0 answers
27 views

Would it be possible to prove Liouville's theorem from the analyticity property of holomorphic functions alone?

1 vote
0 answers
25 views

Miller Rabin Primality Test - Least Witness Proof, Legendre Symbol

0 votes
0 answers
9 views

How to find d-separation sets between vertices in Causal Inference theory

6 votes
0 answers
95 views

The vertices of a hexagon are random points on a unit circle; $a,b,c$ are the lengths of three random sides. Conjecture: $P(ab<c)=\frac35$.

2 votes
0 answers
18 views

Stable and Pointed Infinity-Operads

2 votes
1 answer
30 views

How to Determine Independence of Events Using Probability

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8 views

Equality of the $L^1$ norm and measure norm of an corresponding absolutely continuous measure for BV functions

1 vote
0 answers
11 views

Tensor Product of Modules of Bialgebras

1 vote
0 answers
8 views

Evaluation of double dual in pivotal category

1 vote
1 answer
38 views

Computation of a finite product

1 vote
2 answers
145 views
+50

Approximating $\sqrt2$ by rationals using the Pigeonhole principle

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