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Question about Pasch's Postulate, line going through all three sides of a triangle

• 10.5k

A tough number theory problem: Prove that $2^n$ can be expressed as $7x^2+y^2$ for $n \geq3$

• 667

Taylor coefficients of complex function - please check my attempt?

• 42.3k

Can one separate variables as a sum in PDE?

• 42.3k

Maximum of product of raised sinusoid functions with different phase and frequency

• 42.3k

How to perform multiple rotations by direction vectors?

• 726

Integral of angle between tangent and line

• 1,147

Z transform of $\sin \alpha k$

• 517

Finding a bound on a certain number of sums

• 69k

Proving an upper bound on a grid function

• 121

Characterization of linear differential operators in $\mathbb{R}^n$

• 1,839

Product of symmetric matrices equals Zero matrix

• 549

Constraint formulation for an MILP optimization problem

• 842

$f \in H^{s}(\mathbb{R}^{n})$, $s > n/2$, then $f$ is uniformly Holder continuous of $\alpha \in (0,1)$ order??

• 6,096

Partitioning vertices and deriving an upper bound for the number of edges of a vertex subset

• 4,670

Triangulation of Mobius Strip to find the fundamental group

• 23

Max and min of a function with absolute values

• 1

Is there a way to use the Weierstrass Substitution for $n\theta$?

• 36.5k

Area of Complete Hyperbolic surface

• 1

Proving Equality for Subsets

• 726

Number of solutions for $x ^ y = y ^ x = k$

• 5,134

convex function with global minimum but no local minimum

• 325

Estimate the limit or bounds of the smallest eigenvalue of a symmetric matrix

• 19k

This is a question from the book Introduction to Game Theory by Martin Osborne. The question number is exercise 44.1.

• 1

Why, in a set category, are all possibly functions included?

• 36

Is there any method other than Feynman’s Integration Technique to find $ \int_{0}^{\frac{\pi}{2}} \ln \left(a \cos ^{2} x+b \sin ^{2} x+c\right) d x?$

• 6,107

Two differential forms are the same if they are the same locally.

• 26.5k

Given that $f(x) = x^k$ where $k < 0$, what is the range of $f(x)$ on the interval $[1, \infty)$?

• 67

Isogenous Elliptic Curves and Reduction Type

• 21.6k

A clopen one-dimensional set in $\mathbb R^2$?

• 513

The geometry of $\operatorname{PSO}(4)$ and the quaternions

• 15.3k

What are the most known and optimized libraries for SDE in Python?

• 311

Chaotic discrete dynamical system on circle and torus

• 5

Why a retraction from a building to an apartment is not isometric?

• 101

The number of orbits of $\langle\pi\rangle$ on $\Omega$ is $\frac{1}{m}\sum_{d\mid m}f(\pi^d)\varphi(m/d)$

• 1,152

Can we determine the transition semigroup of a Markov process by its resolvent?

• 12.9k

How can I perform Union operation into two events?

• 853

Why the degree of $\pi$ does not increase

• 5,472

Asymptotic formula for logarithmic derivate of zeta function

• 1

What is the best interval size to consider in calculating the probabilities of a normally distributed sample?

• 208

Equivalence of different versions of Markov property

• 319

Stereographic Projection Continuity Via Open Balls

• 121

Does almost surely convergence implies convergence in $L^p$?

• 888

latin sqare on $\mathbb{F_q}$

• 343

a digit Divisible Number

• 8,310

What is the probability the statement is true given A and B contradict each other??(Slight twist in a very unique question)

• 9,341

Need help plugging in bounds in a u-substitution

• 598

Show That Wigner’s Theorem Defines a Homomorphism $\operatorname{U}(2) \rightarrow \operatorname{SO}(3)$

• 15k

Can I derive the first moment when I am know the second and forth?

• 669

Numerical approximation of Lamé curve perimeter for $n >2$

• 31.3k

Problems about moving plane method

• 21

Estimate the norm of the solution of an elliptic partial differential equations of second order

• 21

Can these quadratic constraints be linearized?

• 33.4k

Evan's statement about integral of the divergence of a vector field.

• 2,301

Positive semi-definite (psd) matrices associated with a family of partially recovering subsets of a given finite set

• 46.1k

Probability of markov chain in a finite set

• 440

Measurable functions could be injective but not bijective?

• 35.9k

Is union of family of inner models also an inner model?

• 1,092

Need help finding a formula for question that was solved by trial and error

• 1

How do I express vectors as linear combinations?

• 726

Proving that $\angle MAC = 30^{\circ}$

• 437

Application of time reversal property of DFT

• 1

Find the marginal density of $Y$ and $\mathbb{P}(Y>X)=\frac{5}{8}$.

• 837

What are the conditions for two vectors to be equal?

• 7,291

Asymptotics of an integral with singular derivation

• 7,778

Non-trivial $P^1$ bundle over complex tori

• 57

For every affine plane (P,L) of order n: every quivalence class of parallel lines has n lines.

• 343

Exponential generating function of the relation $B(n,k)=B(n-1,k-1)+(n-1)B(n-2,k-1)$ —just over $n$—

• 119

Counting permutations $\pi \in S_n$ such that $\pi(i) \neq i$ and $\pi(i) - k \not\equiv i \bmod n$.

• 25.1k

What is the form of the normalizing constant of the continuous categorical distribution when two or more parameters are equal?

• 26

Interesting probability problem on infinite processes

• 577

Polynomial factorization with three variables.

• 51

Using non-integer inputs for the Fourier Series

• 37.9k

Deduce that $\{a_0,a_1,\cdots,a_{m-1}\}$ is not a complete set of residues $\mod m$.

• 2,625

Are circle-tangent polynomials always either odd or even?

• 186

Complex plane deprived from or deprived of closed disk?

• 139

Parameters in survival function not changing output.

• 256

If set $C$ has 60 elements, and set $B_i$ has 9 elements randomly sampled from $C$, what is the mean value of $i$ to seeing all elements of $C$?

• 323

Kindly assist with with fourier series square waves

• 1

Prove that $f^*(a)$ is a regular surface.

• 701

Log supermodularity property of Bivariate Normal CDF

• 1

Asymptotics of a two dimensional integral

• 73

IDFT sum to find the center of the circle

• 105

Torsion Free Spin Connection

• 826

Strong mixing of a function of strong mixing and convergence sequence

• 440

Prove: at most two circles are needed to be tangent to all the circle sequence

• 684

Non-obvious Trigometric Integral

• 2,388

Quotient of graded ring is graded - confusion about the formalisms

• 13

Show that $M :=\{J\in M_{2n}(\mathbb{R}); J^2 = -I\}$ is a submanifold of $M_{2n}(\mathbb{R})$

• 17.2k

Failure of the Lebesgue differentiation theorem

• 1,482

Cauchy net equivalent condition

• 57.6k

Error types and statistical tests

• 1

Is ${G}/\ker(\phi)$ uniquely isomorphic to $\phi(G)$?

• 1

Tricky convergence

• 3,928

General form of integral possibly related to arctan function?

• 35.3k

Preimage of zero under a continuous function on compact real interval has at most countable connected components

• 1,199