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21h
comment Euler - Lagrange Equations proof
Have you tried Google: google.com/…
23h
comment How does $u^Tv = p \cdot \|u\|$ follow from the projection onto line?
read this: en.wikipedia.org/wiki/Vector_projection
1d
comment If $N(t)$ is a Poisson process with parameter $\lambda(t)$ then is $N'(t)=N(t+2)-N(2)$ a poisson process?
For OP's benefit, condition 4 should be equivalent to $P(N(t+h)-N(t)>1)=o(h)$.
1d
comment if n is a positive integer let Z be the subset of integer in {1,…,n} which are relatively prime to n
Your current "solution" doesn't seem to be on the right track. Start with the assumption that $a,b$ are relatively prime to $n$. In GCD notation this is $(a,n)=(b,n)=1$. You're required to show that $(ab,n)=1$ which will imply the result. As a hint, you could write the prime factorization of $a,b$ and $n$
2d
comment The convergence of a product of sequences converging in $L^2$.
@CameronWilliams: sorry, we don't need it to be sliding, which takes care of the finite measure case as well.
2d
revised The convergence of a product of sequences converging in $L^2$.
deleted 34 characters in body
2d
answered The convergence of a product of sequences converging in $L^2$.
2d
comment what's the limit $\lim\limits_{n \to \infty} \sum_{k=n}^{\infty} e^{-k^2}$
Start by asking whether the series converges for $n=1$. If it does converge, what must be true for the tail of the series?
2d
answered Prove that three points define a unique parabola
2d
comment Limiting value of $L^2$ functions
Take the indicator function on the rationals. The limits don't exist at any point, in either direction.
Aug
28
revised Law of Large Numbers - utility/difficulty of various versions.
added 58 characters in body
Aug
28
answered Law of Large Numbers - utility/difficulty of various versions.
Aug
28
comment How to compute the gradient of the weighted kernel
Start by understanding the definitions: en.wikipedia.org/wiki/Matrix_calculus#Derivatives_with_matrices
Aug
25
answered Poisson Approximation of Binomial
Aug
21
answered Manual generation of all permutations of N non-repeating elements
Aug
21
comment Better way of solving this quadratic equation?
It sounds like you know how to solve $ax^2+bx+c=0$. Without doing any extra work, your problem has $a=1$, $b=-2m$, $c=-2m-1$. Can you finish it from here?
Aug
18
comment Optimum is achieved when both variables are equal
@Ian: Notice that the maximum is achieved particularly when $\|y\|_\infty=\|z\|_\infty=1$, just by scaling.
Aug
18
comment Probability via Geometry, applications and examples
Something like this? mathdemos.org/mathdemos/MCArea/MCArea.html
Aug
17
comment How do I prove this $\frac{dx^n}{dx}=nx^{n-1}$ is true for every $n\geq 1$ to convince my students?
What do you mean by "defined?" This follows from the definition of the derivative and is derived in any introductory calculus textbook.
Aug
17
answered Why is this true for matrices? Linearly dependent columns $\implies$ not invertible