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9h
comment Rewrite this function to show equivalence to another given function - CHALLENGING
@HoPam: So why not simplify the geometric series?
12h
comment Brain-explosion pattern of primes and the number 30?
This is basically counting the number of Goldbach primes $p,q$ that satisfy $p+q=2n$. Given that we don't even know if the Goldbach conjecture is even true for any $n$ I'm not sure what you hope to prove.
1d
comment How to solve this system of conics?
Why not plug $4(x+6)$ in place of $(y-1)^2$ in the first equation and solve for $x$? It's quadratic...
1d
comment Applied mathematics for Clinical Medicine
Before looking for an applied math person, please state what you want in a clear and concise manner. It sounds like you want some kind of data science or machine learning. For example, read this: ncbi.nlm.nih.gov/pmc/articles/PMC3267853
1d
comment Clustering of vectors via inner product relationship
So what happens if $a_i1^2$< (1/3) a_{i2}^2, say $a_{i1}=1$ and $a_{i2}=2$ for each vector $a_i$? Why would they cluster around $e_2$?
1d
comment Clustering of vectors via inner product relationship
What are $a_{i1},a_{i2}$?
1d
revised Why has the Stein operator for normal approximations the form $(\mathcal Af)(x)=f^\prime(x)-xf(x)$?
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1d
answered Why has the Stein operator for normal approximations the form $(\mathcal Af)(x)=f^\prime(x)-xf(x)$?
1d
comment The recurrence $a_k(n) = \sum_{0\leqslant j<n} a_{k-1}(n+j)$
Have you tried writing down a general generating function?
1d
comment Solve matrix equation $e^A=e^B$ for nilpotent $A, B$.
Note that any nilpotent matrix is similar to a block diagonal matrix whose blocks are shift-matrices. See here: en.wikipedia.org/wiki/Nilpotent_matrix#Classification
1d
comment Local estimates for $|(x+\epsilon)^{-1} - x^{-1}|$
What is preventing a taylor series expansion here? Your $x$ is fixed afterall and your $\epsilon$ is small. If you want error bounds use the taylor remainder theorem to get something in terms of $x$.
1d
revised Probabilistic interpretation for representation of unity using the zeta function
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2d
comment Girsanov theorem
Can you state Girsanov's theorem?
2d
comment A non-homogeneous recurrence of Fibonacci sequence
Unless you have an explicit form for $g(n)$, this could be anything and hence doesn't have a useful characteristic equation.
2d
reviewed Approve A non-homogeneous recurrence of Fibonacci sequence
2d
comment Infinite sums over integral of triple associated Legendre polynomials
Could you clarify your confusion? Converting notation, $u\rightarrow i,v \rightarrow 1,w\rightarrow 1$, $l \rightarrow k$,$m\rightarrow n,n\rightarrow m$ in the list of rules. In particular you need $u=v+w$ which means $i=2$.
2d
comment totient function and inclusion-exclusion principle
your formula for $\phi(n)$ is wrong, it should be $p_i^{-1}$ and $i$ ranges over the index set of primes dividing $n$, not $1,2,\cdots,n$.
May
24
comment Limit of random walk on $\mathbb{Z}$
Use Borel Cantelli and the fact that the normal distribution has a positive tail no matter how far out you go (ie that its support is the whole real line)
May
23
answered Property of cumulative distribution function
May
23
revised Probabilistic interpretation for representation of unity using the zeta function
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