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3 votes
3 answers
252 views

Find $x_1,x_2$ such that $\min_{x_1,x_2} x_1^2+2x_1x_2$ where $x_1,x_2$ are subject to constraint $x_1^2x_2 \ge 10$.

1 vote
1 answer
15 views

Whether the division algebra of morphisms of a SO3 representation on symmetric trace zero 3 by 3 matrices , is Real, Complex or Quaternions

29 votes
8 answers
29k views

Examples of non-Hausdorff spaces

2 votes
2 answers
833 views

Prove that the curvature of $\gamma$ is $\frac{\kappa_{\alpha}}{\sin^2\theta}$

2 votes
1 answer
342 views

Relationship between determinant of a symmetric PSD matrix and its diagonal

0 votes
0 answers
5 views

Reference regarding a Corollary of Borel Isomorphism

2 votes
0 answers
41 views

A-invariant p-subgroup of finite group

1 vote
0 answers
10 views

Relation between the support of the pushforward measure and the support of the origial measure

4 votes
0 answers
42 views

On conditions for $\lvert R/(I+J)\rvert \ge \lvert I\cap J/IJ\rvert$

0 votes
0 answers
23 views

The same triple integral over the same volume gives different results based on different limits that give the same volume.

1 vote
1 answer
739 views

Limit of logarithm function

0 votes
0 answers
37 views

How determine whether a binary string generated by permutations of shorter binary strings is unique?

4 votes
1 answer
105 views

General solution for $x^3+px^2+q=0$

0 votes
0 answers
41 views

What is the most efficient method to compute logarithms?

0 votes
0 answers
52 views

Joint distribution and coupling of marginal with conditional distribution

8 votes
1 answer
255 views

If $A\in {\mathbf F_2}^{n\times n}$ is symmetric, its diagonal is in the span of its columns

0 votes
0 answers
16 views

high-order difference equation

3 votes
2 answers
69 views

Prove $BE^2 = AE \cdot AB$ in an isosceles right triangle with a perpendicular condition

0 votes
0 answers
18 views

Finding all possible orders of ab where a is fixed

0 votes
2 answers
736 views

Permutations without repetition pattern (algorithm)

1 vote
1 answer
39 views

Sufficient condition for a preadditive category to be Karoubian

0 votes
0 answers
12 views

What is the $\sigma$-algebra generated by a conditional probability given a sub-$\sigma$-algebra?

-1 votes
1 answer
20 views

Why is Euler substitution not working even though trigonometric substitution worked just fine for the integral below??

0 votes
1 answer
26 views

How to use the strong Markov property of Brownian motion to get the following result?

2 votes
1 answer
39 views

A single-sided infinite surface, does that exist?

1 vote
0 answers
37 views

Eta function and Product Log function

4 votes
4 answers
147 views

$\sum_{k=1}^{2004}\frac{1}{1+\tan^{2}\left(\frac{k\pi}{2\cdot2005}\right)}$

9 votes
0 answers
6k views

Simple Proof of Binomial Theorem for Negative Integer Powers

1 vote
1 answer
741 views

Joint and Marginal PDF from figure

4 votes
1 answer
140 views

Find out the distance between centers of two intersecting semi-ellipses $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ & $\frac{(x-d)^2}{a^2}+\frac{y^2}{b^2}=1$.

5 votes
5 answers
186 views

For $R(x)$ a rational function, why is $R’(x)+2xR(x)$ never identically 1?

0 votes
0 answers
84 views

What does the notation $\int_{-\infty+i\pi}^{-\infty-i\pi} f(x)dx$ mean?

8 votes
6 answers
305 views

Prove that $ |z_1-z_2|^2+|z_2-z_3|^2+|z_3-z_1|^2 =3\bigl(|z_1|^2+|z_2|^2+|z_3|^2\bigr)$

3 votes
4 answers
18k views

Finding area between two curves, below and above x-axis

30 votes
12 answers
9k views

Defining the derivative without limits

0 votes
1 answer
19 views

Pathwise vs Strong Solution to SDEs

1 vote
1 answer
762 views

How to find the sign of the determinant?

30 votes
7 answers
1k views

Six circles in a rectangle: show that two lengths are equal

6 votes
3 answers
175 views

Let $z_1,z_2\in\mathbb C$ such that $|z_1|=|z_2|=1,|z_1+z_2+2|=1,|z_1z_2-1|=1.$ Find $z_1,z_2$

2 votes
1 answer
22 views

Application of strong Markov property (drift random walk stays positive)

3 votes
1 answer
29 views

If $X$ is a compact Hausdorff space and $\mathcal{U}$ is an ultrafilter on $I$, is the map $\underset{\mathcal{U}}{\text{lim}}:X^I\to X$ continuous?

3 votes
1 answer
773 views

Prove : Every even number can be written as the sum of an odd number and a perfect square

4 votes
1 answer
149 views

Jacobian of a matrix transformation

0 votes
1 answer
88 views

Result on étaleness of Group schemes

2 votes
1 answer
106 views

How to determine the maximal T such that a special gift distribution is possible with N gift types?

2 votes
3 answers
108 views

Behaviour of $\sum_{n=1}^{+\infty}\frac{(n!)^{n}}{n^{n^{2}}}\,\sin\left(\frac{1}{n}\right)$

0 votes
0 answers
77 views

Is there any analytical approach to decompose this nonlinear PDE?

2 votes
2 answers
785 views

What's wrong with my student's intuition regarding such work-rate-time problems?

0 votes
0 answers
27 views

Explicit construction of the universal cover by hatcher - why are $U_{\left[\gamma\right]}$ disjoint for fixed $U \in \mathcal{U}$?

3 votes
1 answer
74 views

(Graph theory) Independent sets of edges

3 votes
2 answers
778 views

Discontinuities of $f(x)=\sum \limits_{n=1}^{\infty}\frac{\{nx\}}{n^2}$

2 votes
0 answers
75 views

Is a triangle uniquely determined by the lengths of its three internal angle bisectors? Can its area be found?

0 votes
0 answers
52 views

Frobenius theorem for PDEs (-overdetermined systems of-)

1 vote
1 answer
743 views

Strong Lyapunov Function

0 votes
0 answers
10 views

Sobolev Smoothing of a Schwartz Kernel

2 votes
2 answers
361 views

Seifert Fibered Spaces with Boundary are $\mathbb{P}^2$-irreducible

-1 votes
2 answers
280 views

Find all Equiangular Platonic triangles

1 vote
2 answers
247 views

Expected value of the remainder when a random variable is divided by a number

1 vote
1 answer
136 views

Does the lindelöf space always have countable free sequence?

0 votes
1 answer
63 views

Yet another problem of terminology about permutations

2 votes
0 answers
43 views

Covering space action on a simply connected, not locally path-connected space

3 votes
2 answers
760 views

Spherical coordinates: initial bearing to intercept

3 votes
1 answer
190 views

Solving the inequality using Binomial Theorem

5 votes
1 answer
37 views

Is there an error in this exercise in 'Stochastic processes for physicists' by Kurt Jacobs?

0 votes
2 answers
344 views

Limit of The Dirac Comb

0 votes
0 answers
15 views

Is the Quotient of Two Coprime Polynomials in $\mathbb{R}[x,y]$ With Isolated Zeroes at the Origin Ever $C^\infty$?

10 votes
4 answers
8k views

How to sample a binomial random variable?

0 votes
0 answers
51 views

Lebesgue Integral example functions

0 votes
1 answer
902 views

Characteristic equation and non-trivial solution

1 vote
0 answers
24 views

Faithfully reconstructing the RSA-129 factoring challenge: is my encoding and encryption setup correct?

1 vote
0 answers
43 views

can a monotone function have removable discontinuity points

3 votes
0 answers
58 views

“Algebraic” Abel-Jacobi theorem

2 votes
3 answers
328 views

A question about convergence for series and sequence of real numbers

3 votes
1 answer
826 views

Given 100 coin tosses, the largest string of same results in a row is...?

2 votes
2 answers
3k views

Geometric mean of matrix

5 votes
1 answer
200 views

The name of an algebraic structure satisfying $y*(y*x)=x=(x*y)*y$

2 votes
0 answers
54 views

Logic-Compactness in lattice

0 votes
0 answers
32 views

(Ahlfors) Prove anaylytically that the midpoint of parallel chords to a circle lie on a diameter perpendicular to the chords

1 vote
1 answer
2k views

Combining two exponential distributions onto one graph

9 votes
1 answer
185 views

Tarski's High School Algebra Problem in Type Theory

2 votes
0 answers
38 views

Simplex tiling used in Simplex Noise

5 votes
1 answer
2k views

Is there a general formula for number of integral points inside the circle $x^2+y^2=a^2$ for $a \in \mathbb Z^+$

1 vote
0 answers
49 views

Mistake in the proof of Orientation Reversal

3 votes
0 answers
20 views

Showing that under certain conditions every cogenerator is a generator.

7 votes
2 answers
2k views

Proving $\mathbb{R}P^n$ is orientable if and only if $n$ is odd.

1 vote
1 answer
68 views

Subspace of linear transformation proof legit?

3 votes
3 answers
172 views

Given semiperimeter and radii of inscribed and circumscribed circles, find the side lengths of triangle

0 votes
2 answers
188 views

Evaluating order of expression of form $(1+x)^{1/x}$

0 votes
1 answer
85 views

If there are two right inverses then there are infinitely many right inverses

4 votes
2 answers
1k views

Is there a way to generalize the polygonal and pyramidal numbers to higher dimensions?

1 vote
0 answers
119 views

Some questions of the proof related to Low-rank approximation on wikipedia

1 vote
1 answer
237 views

Is $\square$ an alias for QED?

2 votes
1 answer
235 views

Integrating Euler's function

4 votes
2 answers
1k views

Is there a definition of Riemann integration in $\mathbb{R}^n$?

1 vote
1 answer
61 views

Farb & Dennis Corollary to Nakayama's Lemma: When surjectivity modulo J(R) implies surjectivity

2 votes
1 answer
141 views

On a special kind of integral domain

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