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16h
comment Linearity In Linear Algebra
What exactly is your question? Everything you've written is true.
1d
revised Minimizing an error function by deriving a system of linear equations
added 56 characters in body
1d
answered Minimizing an error function by deriving a system of linear equations
2d
comment prove that $\sum_{k=1}^\infty|x_k y_k|$ converges
@user128433: Exactly!
2d
comment prove that $\sum_{k=1}^\infty|x_k y_k|$ converges
The absolute value is irrelevant. You have $|x_iy_i|=|x_i||y_i|$ and then do Cauchy Schwarz on the latter two.
2d
comment prove that $\sum_{k=1}^\infty|x_k y_k|$ converges
What prevents you from immediately concluding convergence from the Cauchy Schwarz inequality?
2d
comment Writing sum of square roots with symmetric polynomials
your definition of $F$ seems lacking. How does $F_2$ have nested square roots? Also what is $G_N$.
Aug
21
answered Limit points of infinite subsets of closed sets
Aug
19
comment Optimization with Lagrange multipliers
Can you at least setup Lagrange's equations?
Aug
11
comment Growth rate of ordered bounded partitions
Thanks for your answer! I like this idea, in that it seems like one can actually try to get a bound involving $(i,k,n)$ by looking at the first few terms of the sum. On the other hand, the upper bound is combinatorially trivial. It looks like if $k$ is sufficiently small, then you should be able to do much better than the upper bound.
Aug
11
revised Growth rate of ordered bounded partitions
deleted 36 characters in body
Aug
11
asked Growth rate of ordered bounded partitions
Aug
10
comment Proving $E_{\theta}[T(X)] = \frac{\psi'(\theta)}{\eta'(\theta)}$
What is $T(x)$?
Aug
9
comment Exponential random Variable and Deterministic Variable Mix
It's defined and is equal to 0 when the argument is negative
Aug
9
comment Exponential random Variable and Deterministic Variable Mix
Call the interarrival time $T$, that is, the chance of seeing the first jump at time $T$. Then $P(T>t)$ is precisely the probability that there are zero jumps in time $t$. Can you finish from here?
Aug
9
answered Converging sequence of integrals for uniformly bounded functions
Aug
9
answered Exponential random Variable and Deterministic Variable Mix
Jul
28
comment Sequence of orthogonal vectors in a Hilbert space
The Cauchy Schwarz inequality is useful for b to c.
Jul
9
comment Convergence in Probability (weak law of large numbers)
Whoops! Good point!
Jul
9
comment Prove that $f_a$ doesn't depend on a.
A number of things don't make sense here. First there's no dependence on $f$ on the right hand side, just $a$. Next, you seem to be assuming that you have taken a derivative in $a$, yet in your inner product it's really a derivative in $x$, as in $f_a(x),\psi(x)$ and invoked an integration by parts procedure.