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Interesting 9 Bountied Hot Week Month
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1 answer
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Winnability of an urn-ball game with restricted two-urn moves

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mihaild
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1 answer
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Representations of a separable Hilbert space as a Banach lattice

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Tomasz Kania
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2 answers
89 views

Evaluate $\int_0^{\frac\pi2} \frac{1}{a \sin ^2x+b \cos ^2x} \, \mathrm dx$

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Travis Willse
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4 answers
113 views

if $f$ is holomorphic and $f(z)=f(\overline{z})$ then $f$ is constant

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Stardust
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Help: Proof of Ptolemy's Inequality with Complex Numbers

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3 votes
1 answer
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if $x^2+1$ is a powerful number then $x=682$?

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Bill Dubuque
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0 answers
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Does the polylogarithm $\mathrm{Li}_k(x)$ solve a first or second order ODE/ADE?

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Eli Bartlett
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2 answers
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Prove $(p-2)! \equiv 1\pmod p\ $ (equivalent to Wilson's Theorem).

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Bill Dubuque
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4 votes
1 answer
770 views

Mean value of the rotation angle is 126.5°

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1 vote
1 answer
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Find all functions $f : \mathbb R \to \mathbb R$ such that: $𝑓 (𝑥 𝑓 ( 𝑦 ))+𝑦 𝑓 ( 𝑥) = 𝑥 𝑓 ( 𝑦 ) + 𝑓 ( 𝑥𝑦 ),$ $∀\ 𝑥 , 𝑦 \in \mathbb{R}$

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JC Q
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2 votes
1 answer
57 views

Showing $\sum\limits_{i,j=1}^{n} t^{-a_ia_j} \geq \sum\limits_{i,j=1}^{n} t^{a_ia_j}$, for $t\in(0,1)$ and $a_i\in(-1,1)$

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Martin R
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2 answers
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Find the length of the side DQ

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Atharv Rege
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2 votes
0 answers
641 views

Does ternary operations have associative property?

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MaoWao
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2 votes
1 answer
426 views

Conditional expectation on the space of bounded linear operators

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MaoWao
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1 answer
41 views

Help in filling in the gaps from a contour integration in QFT

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Sangchul Lee
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Fourier transform of $\frac{1}{r}$ (Coulomb potential)

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0 answers
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Algebra structure on Haagerup Tensor Product of Operator Spaces

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MaoWao
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3 votes
1 answer
57 views

Martingales convergence a.s.

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spaceisdarkgreen
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0 answers
169 views

Null and Range Projections

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MaoWao
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2 answers
49 views

Perpendiculars passing through diagonal intersection in a quadrilateral formed within a square

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jjagmath
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2 votes
1 answer
154 views

tensor product of $C^*$-algebras.

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0 answers
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Solutions of a non-linear system

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byk7
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Analogue of small object argument

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Dandelion
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2 votes
1 answer
60 views

Convergence of certain sequence in a $C^*$ algebra

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MaoWao
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61 views

Is there still active research in the mathematical theory of distributions?

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J. W. Tanner
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10 votes
5 answers
1k views

Why Is the Dual Basis Mathematically Unavoidable?

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Man-I-Fold
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1 answer
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Equation of a bounded plane in 3D

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0 answers
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If 2 recursion relation has the same coeficients are the solution proportional?

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amilton moreira
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24 votes
6 answers
1k views

Why is this angle always less than $49°$?

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dfnu
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1 vote
0 answers
19 views

Scheme over base field $k$ which is algebraically (resp. separably) closed in ring of regular functions of $X$

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user267839
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8 votes
1 answer
305 views

$\frac{G_1\times G_2}{N_1\times N_2}\cong \bigg(\frac{G_1}{N_1}\bigg)\times \bigg(\frac{G_2}{N_2}\bigg)$

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Proving the solution of heat equation is $C^2_1(\mathcal R^n \times (0,\infty))$

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When does $\int_0^{1/2} f(x) \ dx= \int_0^1 f(\varphi(x))\,v(x) \ dx$ hold for $\varphi(t)=\min\{t,1-t\}$?

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pedrostrujillo
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2 answers
56 views

Absolute convergence and rearrangements

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Paul Frost
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3 votes
1 answer
179 views

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

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Sangchul Lee
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1 vote
1 answer
53 views

Description of the ideals of $A[X]$ using stationary chains of ideals of $A$

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Aniruda Suswaram
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1 answer
822 views

A problem on triangle and its perpendicular bisectors.

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2 votes
1 answer
124 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 $x \ge 21$?

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MathPatterns
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3 votes
3 answers
165 views

Find all real solutions $(x_1,\dots,x_n)\in\mathbb{R}^n$.

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Ataulfo
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2 answers
120 views

Let $P(x) \in [1,2][x]$ and $P(x) = Q(x)R(x)$, where $Q(x)$ and $R(x)$ are nonconstant, and $Q(x)$ is monic. Prove: $|Q(3)| > 1$

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Amelia Tearheart
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1 answer
50 views

$f(0)=1, f(x) \ge 0 \ge f'(x), f''(x)\le f(x)$ for $x\ge 0$

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T﹏T
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1 answer
772 views

Are they stable or unstable limit cycles?

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1 answer
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Reasoning behind logistic regression

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J.G.
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1 answer
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Does the tensor $\Phi$ take this form?

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Vladimir Lysikov
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Need a conclusive example that explains why QBF Prenex Transformations require closed QBF formulas

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rr06
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2 votes
2 answers
165 views

How can the integral $\int_{0}^{\infty} \left(\frac{\sin x}{x}\right)^3dx$ be calculated?

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Renato C
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7 votes
3 answers
471 views

Frullani version of the classic $\log \left( 1 + 2\alpha \cos px + \alpha^2\right)$ integral.

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xpaul
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5 votes
3 answers
4k views

What does it mean that we can diagonalize the metric tensor?

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Alex M.
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2 votes
1 answer
150 views

Can $1, \sqrt{26},5$ construct a right angle triangle?

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Math12
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2 votes
2 answers
770 views

Ergodicity of a sequence of independent blocks

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2 votes
0 answers
131 views

Name of the algebraic structure

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Bowei Tang
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4 votes
4 answers
413 views

What sets of digits can be used to represent all of the real numbers in a ternary numeral system?

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Dark Malthorp
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3 votes
3 answers
200 views

Simplify into reduced form

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user21820
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5 votes
1 answer
46 views

Center of a finite perfect group

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Haran
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0 answers
20 views

Spectral decomposition of the Neumann-Laplacian

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Zaza
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21 views

Why do we need \rho (utilization)<1 in queuing theory?

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AngelP
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3 votes
3 answers
237 views

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

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Svyatoslav
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1 answer
53 views

Admissible test functions for weak formulation of Neumann problem

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K.defaoite
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3 votes
1 answer
44 views

Range of base $a$ such that $f(x) = a^x - bx + e^2$ has two distinct zeros for all $b > 2e^2$

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Bowei Tang
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2 votes
1 answer
79 views

Angle between tangents of a hyperbola

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JHT
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1 answer
234 views

Prove ($p \Rightarrow q) \land (q \equiv r) \Rightarrow (p\Rightarrow r)$ in Gries and Schneider, Exercise 3.71 (equational proof)

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Tankut Beygu
  • 4,891
30 votes
2 answers
3k views

Sum equals the product

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Bruno Andrades
  • 5,338
2 votes
2 answers
155 views

Main theorem of Galois Theory: professor Borcherds' counting argument

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zyy
  • 1,239
2 votes
1 answer
78 views

Why is fact that the determinant of this matrix is 0 equivalent to $x'^T Fx=0$

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joão cabral
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1 answer
780 views

What is the subgroup generated by $\{(12),(23)\}$

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CommunityBot
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3 votes
3 answers
92 views

Prove that triangle CHL is isosceles in rectangle with specific construction

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JMP
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0 answers
95 views

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

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triple_sec
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0 votes
1 answer
804 views

How to calculate the angle made by 3 coordinates without using cosine rule

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CommunityBot
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2 votes
0 answers
43 views

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

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Paul Frost
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0 votes
1 answer
45 views

Continuity of evaluation map at a single point under the compact-open topology

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Mentastin
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0 answers
34 views

Is consistency a symmetric relation?

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LuBi
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1 vote
0 answers
63 views

Definite integral of the two Bessel functions / (x-a)

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Gary
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6 votes
1 answer
2k views

Question about Proof of Merten's theorem (Cauchy-Product formula)

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Firdous Ahmad Mala
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0 answers
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Show that $C_{k+1} = f_1[C_k] \cup f_2[C_k]$ for $k = 0, 1, 2, ...$ by induction.

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Chanhyuk Park
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1 vote
1 answer
39 views

Maximum number of points having a specific point as their nearest neighbor in $\mathbb{R}^2$

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thedeepdeepsky
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0 answers
102 views

Equivalence of finite generation of two section rings

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Yuquan Wang
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1 vote
1 answer
154 views

Taylor expansion of an integral in spherical co-ordinates

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138 Aspen
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3 answers
783 views

X and Y are Bernoulli. Suppose $P(X = 1, Y = 1) = P(X = 1) P(Y = 1)$. Prove that X and Y must be independent

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0 answers
13 views

Verifying One-vs-All Precision and Recall calculations from a multi-class confusion matrix

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Minesota
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3 votes
1 answer
121 views

Extension of Uncertainty Relations to a specific potential in Schrödinger Equation

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138 Aspen
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1 vote
0 answers
38 views

Fourier inversion theorem for compact groups

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Maxi Müller
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7 votes
0 answers
372 views

How to evaluate $\int\limits_{0}^{\frac{\pi}{2}}x^3(\sqrt{\tan x}-\sqrt{\cot x}) dx$?

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Dhairya Kumar
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6 votes
0 answers
238 views

Finding a closed form for $\int\limits_{0}^{1} \frac{1}{x} \ln\left(\frac{\ln\left(\frac{1-x}{2}\right)}{\ln\left(\frac{x+1}{2}\right)}\right)\ dx$

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Dhairya Kumar
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1 vote
0 answers
33 views

Showing independence from expectation for indicator functions?

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DrDragon3
  • 11
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0 answers
273 views

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

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Plantation
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0 answers
31 views

Computing the Schirokauer map in Number Field Sieve for Discrete Logarithms

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Evil Granny
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52 votes
2 answers
7k views

Computability viewpoint of Godel/Rosser's incompleteness theorem

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user21820
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3 votes
0 answers
244 views
+50

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

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Anonymous-math-guest
  • 161
5 votes
2 answers
157 views

Closed form for a symmetric sum of squared binomials

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Claude Leibovici
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2 votes
1 answer
226 views

Show that $\mathfrak{Re}(\textrm{Li}_2(e^{ix}))=\frac{x^2}{4}-\frac{\pi x}{2}+\frac{\pi^2}{6}$ (polylogarithm)

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Claude Leibovici
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0 votes
0 answers
43 views

Study of non linear dynamical system

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Gonçalo
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1 answer
76 views

$\mathbb{C}(\lambda x^ay^b,\mu x^cy^d)=\mathbb{C}(x,y)$ if and only if $ad-bc= \pm1$

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user237522
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3 votes
2 answers
78 views

Problem with understanding the technique used to calculate $B_n=\frac{2u_0}{\pi}\int_{x=0}^\pi\sin(nx)(\sin x+\sin 3x)dx$ for heat equation.

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Hazem Orabi
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0 votes
0 answers
40 views

How to see $x_1\geq 0$ in the primal implies $p' A_1 \leq c_1$ in the dual, when there are no other constraints than just $x_1\geq 0$?

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niobium
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1 vote
0 answers
25 views

Closure operator over simplicial complex

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Alma Arjuna
  • 7,039
4 votes
1 answer
158 views

Arrangements of 10 Balls Chosen from Red and Blue, Where Every Blue Ball Has a Blue Neighbor(need pure combinatorics solution)

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