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2 votes
4 answers
182 views

Finding the angles of a non-equilateral $\triangle ABC$ with centroid $G$ such that $\angle GAB=\angle GCA=30^\circ$

0 votes
2 answers
99 views

LP Constraint Problem

2 votes
3 answers
231 views

Prove that $a^1 \cong a$

0 votes
0 answers
21 views

Proof of embeddibility of projective smooth $k$-scheme with dimension $d$ in $\mathbb{P}^{2d+1}_k$ ( Part 2, Gortz, Wedhorn )

5 votes
3 answers
214 views

Expectation of an absolute value

1 vote
1 answer
58 views

How the multiplication in Ring-LWE is defined?

0 votes
1 answer
766 views

Separable kernel in convolution

0 votes
0 answers
10 views

What is this lattice property I'm looking at?

4 votes
1 answer
487 views

Necessary and sufficient conditions for the convergence of a series of complex terms

0 votes
0 answers
18 views

Why does the Generalized Collatz map ($3n+k$) with $k=3^x+2^x$ produce 1,023 cycles at $x=15$, but collapse to 1 cycle for $x \ge 21$?

2 votes
3 answers
3k views

Find all generators of $ (\mathbb{Z}_{27})^{\times} $

7 votes
2 answers
186 views

Stuck on part (b) of Rising Sun Lemma exercise

0 votes
0 answers
6 views

Stochastic exponential and martingales

4 votes
1 answer
153 views

Maybe an integral inequality in discrete form?

1 vote
0 answers
33 views

Can we prove that the limit $e = \lim_{h \to 0^+} (h + 1)^{\frac1h}$ exists using the fact that the function in the limit always decreases for $h>0$?

8 votes
1 answer
558 views

Number of lattice points inside a circle in general position

2 votes
3 answers
116 views

Is there a similar way of proving this statement when $\mathbb{K}=\mathbb{F_2}$?

1 vote
2 answers
817 views

Interval of Convergence for a Differential Equation

1 vote
1 answer
14 views

Equality related to random variable and its conditional expectation.

3 votes
3 answers
548 views

Number of words with 8 letters using an alphabet of 3 consonants and 2 vowels with constraints

0 votes
1 answer
25 views

Binomial sum without using sterling numbers

0 votes
0 answers
10 views

On the convolution identity of a sub arc of circle and the open set which is thickened epsilon amount of another subarc in circle.

11 votes
1 answer
960 views

Conditional expectation continuous in the conditioning argument?

18 votes
6 answers
3k views

Book on combinatorial identities

0 votes
0 answers
31 views

How to find all polyominoes that are intersections of the integer lattice with an open disk?

1 vote
0 answers
68 views

Parametrization $p x^2 + q y^2 = z^3 + r$

0 votes
1 answer
765 views

How to translate a slanted cylinder? ( iso-surface geometry)

2 votes
0 answers
295 views

What is an example for a GCD domain that is neither a UFD (like $\Bbb Z[X]$) nor Bézout (like holomorphic functions on all of $\Bbb C$)?

2 votes
3 answers
178 views

Analytic sum of an alternating series$\sum\limits_{n=1}^{\infty}(-1)^{n} \frac{n}{\left(n+\sqrt{a+n^2}\right)^2}$

0 votes
0 answers
16 views

Complex Hessian comparison for Kähler manifolds with bisectional curvature bounded from below

2 votes
1 answer
165 views

summing a row of the Stirling subset triangle times falling powers divided by ordinary powers

9 votes
3 answers
398 views

Can divergent series be useful?

0 votes
1 answer
118 views

Random variable $X$ has exponential distribution with parameter $1$. What's the probability of $p(X\leq2)$

0 votes
1 answer
44 views

Position of two points with respective to a given straight line

1 vote
1 answer
30 views

Function continuous nowhere whose domain and range are $[0,1]$

13 votes
2 answers
397 views

Showing that $\frac{\tan(x^\circ)}{\tan(y^\circ)}= \frac{\tan(9^\circ)}{\tan(57^\circ)}$ has exactly six solutions for integers $x,y\in(0,90)$

0 votes
2 answers
10k views

In how many ways can the letters of the word ARRANGEMENTS be arranged? A)Probability arrangement begin with EE. B)Probability consonants are together.

3 votes
0 answers
162 views
+50

Rational points and sections on a family of genus-3 hyperelliptic curves

5 votes
1 answer
931 views

Smallest Number of Strings to Distinguish $n$ Pairwise $L$-distinguishable Strings

1 vote
0 answers
19 views

Counting disjoint $k$-tuples of lines in $\mathbb F_q^n$

0 votes
0 answers
30 views

Equivalent definitions of vector-valued Riemann integral

10 votes
4 answers
281 views

Evaluate: $4^9-\binom{8}{1}4^8+\binom{7}{2}4^7-\binom{6}{3}4^6+\binom{5}{4}4^5$

2 votes
0 answers
18 views

A Principled(?) Way to Determine a Lie Algebra Automorphism from a Dynkin Diagram Automorphism (and invariant subalgebra)

2 votes
2 answers
186 views

Doubt in Stokes' theorem & line integral

2 votes
2 answers
833 views

Two $1$-dim random walkers separated by a distance $d$ will meet at or before time $t$.

1 vote
1 answer
532 views

An upper bound for $-\frac{\zeta'}{\zeta}(s)-\frac{1}{s-1}$

1 vote
1 answer
506 views

Riemann zeta function, Stirling's numbers, and infinite series of rising/falling powers over ordinary powers

1 vote
0 answers
16 views

Every k-fold cover of the real line by intervals can be decomposed into k distinct covers.

7 votes
4 answers
283 views

What is the correct definition of a limit point in real analysis?

0 votes
0 answers
16 views

Continuity of functions in b-metric spaces

2 votes
1 answer
1k views

Dimension of a diagonalizable matrix

0 votes
1 answer
68 views

How many odd numbers are there in one row in Pascal's triangle?

0 votes
2 answers
75 views

How $\min(x,y)$ works in reasoning

2 votes
0 answers
36 views

Can you find a great circle with only a compass?

0 votes
1 answer
262 views

Partial sum of Stirling numbers of the second kind with falling factorial

2 votes
2 answers
162 views

What is wrong with my derivation of the surface area of a sphere?

1 vote
1 answer
34 views

Generalization of Cauchy's functional equation. What are the general solutions, $f$?

1 vote
1 answer
54 views

Density of the set of positive triplets $(x,y,z)$ such that $x^{n_1}+y^{n_2}=z^{n_3}$ for positive integers $n_i$ in the halfopen unit cube $(0,1]^3$

1 vote
1 answer
467 views

Showing ${n\brace k}^2>{n\brace k-1}{n\brace k+1}$ by induction on $n$

2 votes
1 answer
151 views

How do you think about uniform continuity?

4 votes
2 answers
86 views

Known properties of these generalized Cauchy distributions

3 votes
1 answer
539 views

No eigenvalue of a graph is larger than the maximum degree

3 votes
1 answer
148 views

Cubic non-residue calculation

0 votes
2 answers
57 views

How can I derive a smooth, non-singular force formula from a uniformly dense rod in $\mathbb{R}^{1}$?

1 vote
1 answer
31 views

Periodic Orbits of Arbitrarily Small Period for a Flow Without Fixed Points

10 votes
3 answers
581 views

Integral $\int_0^{\infty} \arctan{\left(\frac{n}{\cosh{(x)}}\right)} \mathop{dx}$

0 votes
0 answers
51 views

Limit of the function satisfying $f(x)=x-f(x^2)$ as $x\to 1^-$

1 vote
1 answer
1k views

If a sequence of functions is zero almost everywhere and converges pointwise almost everywhere, does the same hold for a limit?

0 votes
1 answer
53 views

$f: \mathbb{RP}^n \to \mathbb{RP}^m$ for $n > m$ induces trivial map on reduced cohomology

1 vote
2 answers
77 views

How to find general solution to differential equation given a particular solution

0 votes
0 answers
30 views

“Central limit theorem” for symmetric random variables with no finite mean

5 votes
2 answers
2k views

Example of two field extensions such that their tensor product is not a field

0 votes
1 answer
1k views

Algebraic Geometry and its application to Cryptography

5 votes
1 answer
79 views

A gap in a game theory derivation

1 vote
0 answers
28 views

How are defined these double complexes in Bott Tu, Section 14?

0 votes
1 answer
34 views

Is $A_{\epsilon}=\{x \in X: d(x,A) \leq \epsilon\}$ a continuum metric space?

4 votes
1 answer
201 views

How to prove that $\lim\limits_{n\to\infty} \sum\limits_{k=1}^n\left(\sqrt[p]{\frac{n^p+k^{p-1}}{n^p}}-1\right)=\frac1{p^2}$ for all $p\in\mathbb{R}$?

1 vote
1 answer
107 views

Proof that $F$ is an algebra over $\Bbb R$

0 votes
1 answer
36 views

Computing Fourier transform for a real odd signal

0 votes
0 answers
21 views

Practical and historical role of Jordan measure

0 votes
0 answers
17 views

Asymptotic Expansion of Bessel Function using Sommerfeld Contour

0 votes
0 answers
14 views

Is a collinearity step missing in this Miquel point proof?

4 votes
3 answers
1k views

Applications and uses for the Lebesgue number of a open cover

3 votes
1 answer
772 views

Properties of horizontal divisors on a fibered surface.

2 votes
0 answers
52 views

Does Blaschke’s characterization of ellipsoids extend to non-compact convex body?

1 vote
0 answers
33 views

How much less is the arithmetic mean than the max given the average deviation?

0 votes
0 answers
54 views
+50

Proving bounds for differential equation system?

1 vote
0 answers
22 views

Criterion for abelian subcategory

1 vote
1 answer
334 views

Bott and Tu Spectral Sequence of a Double Complex

2 votes
0 answers
56 views

Conversion between Cartier Divisors, Weil Divisors, Line Bundles and Invertible Sheaves.

1 vote
1 answer
105 views

Prove that $\int_0^1\operatorname{Li}_2\left(\frac{1-x^2}{4}\right)\frac{2}{3+x^2}\,\mathrm dx= \frac{\pi^3 \sqrt{3}}{486}$

121 votes
7 answers
48k views

What would base $1$ be?

2 votes
3 answers
1k views

What does wedge or caret mean in a matrix context?

1 vote
0 answers
31 views

Ideal of maximal minors is radical when rank never drops by more than 1 [Reference request]

3 votes
1 answer
173 views
+50

For which real $\beta$ there exist concave(convex upwards) functions $f, g: (0;1) \to (0;+\infty)$ such that $\frac{f(x)}{g(x)}=(1+x)^\beta$?

2 votes
1 answer
53 views

Counterexample request: $\sigma$-algebra with no smallest set containing a given (non-measurable) set?

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