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17 views

I proved any linear subspace of $\mathbb{R}^n$ is closed in $\mathbb{R}^n$ to prove $\overline{T}$ has measure zero. (Munkres "Analysis on Manifolds")

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13 views

Do prime numbers appear most densely after 2?

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18 views

How do we evaluate the hypergeometric type series where $\delta_{n}=\large \int_{_{0}}^{^{N}} {{u} \choose {n}}{{N-u} \choose {N-n}} \textit{ du }$

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14 views

Encoding the fist element of an ordered pair

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8 views

Why are piecewise linear functions semismooth?

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1 answer
3k views

Calculating mode in a grouped frequency distribution

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7 views

Convolution of Schwartz and $C^\infty$ function with bounded increasing

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68 views

Cubic non-residue calculation

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14 views

Probabilities in the board game risk

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1 answer
48 views

Basis functions that are one at a point and zero at others

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2 answers
44 views

The triangle $ABC$ is right-angled in $A$. Prove that the inequality $(1-\sin B)(1-\sin C)\leq \frac{{(\sqrt{2}-1)}^2}{2}$ holds.

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11 views

Tautological one-forms and symplectic potentials on closed symplectic manifolds

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1 answer
19 views

Let $Y_t=t\sin W_t$ where $W_t$ - Wiener process. Calculate $\left< Y \right>_t$.

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3 views

Don't understand a line in a paper by Horibe

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2 votes
1 answer
78 views

Ramanujan-Type Double Sum Infinite Series for $1/\pi$

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1 answer
39 views

Let G be a topological group that is T2,N2 and locally Euclidean and suppose G admits an open lie subgroup H. Prove that G is Lie

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10 views

Can A General Solution Be Obtained If A Particular Solution Is Known For A System of Differential Equations?

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1 answer
78 views

Can an infinite sum of non-computable numbers be computable?

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7 views

Generalization of Pólya Enumeration Theorem by de Bruijn

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18 views

How many $k$-full numbers are there?

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10 views

Question regarding the indexes $\alpha$ and $\beta$ in the definition of Schwartz space

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42 views

Difference between finite difference approximation and differential quadrature approximation

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7 views

When Principal Value Can Diverge

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20 views

Give algorithm for finding bidiagonal matrix similar to triangular matrix

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4 views

Basis of the intersection of a cone and its dual.

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33 views

Thompson's Group T materials

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6 views

Assumption of a partial derivative Lars Hörmander does in "The Analysis of Linear Partial Operators I"

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4 views

Inequality involving the $L^2$ norm of the gradient of the symmetric decreasing rearrangement( Schwarz rearrangement ) of an function in $H^1$

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1 answer
66 views

Is there an enumeration of finitely presented groups?

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47 views
+50

Computing conditional expectation of recursive process

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1 answer
40 views

a problem with complex numbers that may have a geometric solution

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12 views

When a sequence satisfy a linear recurrence relation?

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1 answer
86 views

Example 4 in page 76 of Atiyah-Macdonald, Introduction to commutative algebra

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22 views

the problem of statistics

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1 answer
2k views

M/G/1 Queue Expected Waiting Time: W Calculation

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1 answer
23 views

$e^{xL}(x+x^3)<\frac{3\pi^2x}{L^2}$ for $x>0$ small enough and $L>0$ small enough

3 votes
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40 views

Explain the continuity of the function $f$ defined by $f(x) = \lim_{n\to \infty} \frac{e^x-x^n\sin(nx)}{1+x^n} (0\leq x\leq \pi/\sqrt2)$ at $x = 1$.

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1 answer
25 views

how to show all spin groups are double covers?

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41 views

Polar limits approaching $(0,0)$

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8 views

Row/column swap 0-1 matrix to get a lower-triangular matrix

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6 views

A homework problem from Bruce Driver's book "Probability Tools with Examples"

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9 views

Conditional distance distribution between 2 points given the distance to another point

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15 views

Irreducibiliy in multi-variable polynomial ring

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46 views

General form for ${\large\int} \ \frac{\sin(x) \cos(x)}{f(x) \ + \ a} dx \ $ known ${\large\int} \sin(x) \cos(x) f(x) \ dx$

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20 views

Show that $\int_{-\infty}^\infty \frac{e^x}{e^{2x}+e^{2a}}\frac{1}{x^2+\pi^2}dx = \frac{2\pi e^{-a}}{4a^2+\pi^2}-\frac{1}{1+e^{2a}}$

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11 views

solution-verification | Prove that the triangles $VAC, EAV$ are similar if and only if the angle $EVO=30$.

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56 views

There exists imaginary quadratic extension which trivialized 2-part of ideal class group

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1 answer
76 views

Risk probabilities

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18 views

The equivalent statement of torsion-free quasi-coherent sheaves of modules

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31 views

Evaluating the integral of the square of an infinite sum

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7 views

Conjugating of root subspaces by exponents

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16 views

Ito integral independence of time increments

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7 views

Determine position of sound source from arrival times of a blip ($3d$ version)

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11 views

Resolvent Expressions with Numerator Operators and Properties for Imaginary set

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1 answer
99 views

How to prove these rules produce a Gray code

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1 answer
1k views

Generate all permutations of a string containing repeated characters

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13 views

For an $n$ by $n$ symmetric matrix $M$, why does $Tr(M)^2/Tr(M^2)>n-1$ imply that M is positive or negative definite?

1 vote
1 answer
26 views

Analytical solution to marble toss experiment

8 votes
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219 views
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Other approaches to $\int_{0}^{1} \frac{K\left ( x \right ) }{\sqrt{3-x} } \text{d}x$

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41 views

Customizing the bump function

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25 views

Particular version of disintegration theorem

2 votes
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81 views

Can the Wiener Chaos expansion converge in $L^p$?

1 vote
1 answer
92 views

Show $\root{-e}\of{e}<\ln2$ without a calculator

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25 views

Avoiding binary tree duplicates

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1 answer
19 views

Determine position of sound source from arrival times of a blip

6 votes
1 answer
124 views

Prove that Wallis' product and Euler's formula directly imply that $(-1/2)!=\sqrt{\pi}$

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27 views

Is there analytic eigenvalue and eigenfunction of the anharmonic oscillator?

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1 answer
31 views

How to compare $\infty$ with another $\infty$ in the proof of sub-additivity property.

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34 views

Prove uniqueness and existence of $\theta$ such that $\theta\left(x,0\right)=x$ and $\theta\left(x,y^{\prime}\right)=\theta\left(x,y\right)^{\prime}.$

1 vote
1 answer
27 views

Find an ensemble consisting of three distinct pure states that correspond to the same mixed state

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1 answer
23 views

linear complex structure as submanifold of general linear group

14 votes
1 answer
2k views

Why is a predictable stochastic process called *predictable*?

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9 views

How to create simple approximation for this hypotenuse equation? Taylor Series?

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14 views

A question on the definiton of $\mathcal{C}^k (\mathfrak{g},\mathbb{V})$ in cohomology

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22 views

How to find parabolic arc length given initial velocity vector, air resistance, and angle?

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44 views

Do these two equations have analytical solutions, and if so, what methods can be employed to find them?

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2 answers
22 views

Integral containing floor function and derivative

3 votes
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45 views

Multiplicative cohomology theories and cohomology of the sphere

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41 views

Using CLT to define normal distribution

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12 views

Computing the variance of $X \wedge (n-X)$ where $X\sim \text{Binomial}(n,p)$

1 vote
2 answers
286 views

Concept confusion over negative and minus sign

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0 answers
5 views

Joint probability distribution of matrix elements of Gaussian orthogonal ensemble (GOE)

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1 answer
41 views

Identity regarding the differential of a smooth action of a Lie group

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11 views

Why does magma give a cubic as the second coordinate of a Mumford representation for genus 2 curves?

8 votes
2 answers
178 views

Subspaces with common images

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13 views

Biased random walk with unequal step size

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11 views

Graph theory vertex and edge connectivity of (Cn)^k

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2 answers
104 views
+50

Using Matrix Calculus in Backpropagation derivation. Rules of order of matmul and transposition when taking derivatives in different layouts.

-1 votes
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18 views

Eigenvalues of product of rotated diagonal matrices

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115 views

Integral over two line segments

2 votes
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22 views

An inequality about the $BMO$ space from Garfako's Modern Fourier Analysis

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1 answer
31 views

types of von Neumann subalgebras

1 vote
1 answer
119 views

Interpretation of "If A, then B" as "A coupled with B": Context and Applicability

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15 views

Exact sequence induced by two head-to-tail arrows

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19 views

Absolute convergence, conditional convergence or divergence of a series based on a variable

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21 views

How to create row/column selection matrix from a binary vector?

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