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bio website math.stackexchange.com/users/…
location Antarctica
age 79
visits member for 1 year, 10 months
seen Jan 31 at 5:07

Self-learning mathematics. Many thanks to those who make time to help others on the site.


Apr
10
comment Finding functional equation for generating function
yeah, it's not a big deal. :) I was just sort of stating it as an fyi.
Apr
10
comment Finding functional equation for generating function
your solution doesn't match the solution in the text :[
Apr
9
comment Functional equations and generating functions
oh wow...Thanks for that.
Apr
9
comment Functional equations and generating functions
okay so you used the generalized binomial theorem, then how do you get the coefficient of $x^k$ in (3)?
Apr
9
comment Functional equations and generating functions
@robjohn I was curious what rollback was. I'll change it back; I didn't edits bumped questions up. Sorry. I'm still going through your response.
Apr
3
comment Recurrence relation for number of different square subboards
I see that, but I don't see how my text arrived at $a_n = a_{n-1} + 2\binom{n}{2} + n$ and $a_n = 2\binom{n+1}{3} + \binom{n+1}{2}$
Apr
3
comment Stupid question - How do I calculate $\Phi(1.5)$?
Use a z-table...
Mar
30
comment Discretization of Inhomogeneous Dirichlet Boundary Conditions for 2D Poisson's Equations
I updated my solution!
Mar
29
comment Definition of a covering and how it applies to the following example
@ChrisEagle Does that better clarify it?
Mar
27
comment Nasty Integral - Closed form solution?
@okj where did you get this integral?
Mar
26
comment Recurrence relation for the number of $n$-digit ternary sequences with no consecutive $1$s or $2$s
When you did the induction hypothesis, did you obtain that from the solution or did you deduce that from the closed form? (Very helpful solution, ow!)
Mar
25
comment Finding the remainder
could the first method always be applied in cases of synthetic division?
Mar
24
comment Question about generating functions
WHOA! How do you do the mouse-over effect?!
Mar
24
comment how to prove $\sum _{|k|\lt\sqrt m}\binom{2m}{m+k}\ge2^{2m-1}$
how did you go from the second line to the third line?
Mar
23
comment Why does Möbius transformation $f(z)$ map the unit disk $|z|<1$ to itself?
Please see if the edit was what you intended for.
Mar
22
comment Recurrence relation for the number of ternary trings containing 2 consecutive zeros vs not containing
If you don't mind, could you clarify or, rather, elaborate on your explanation after the equalities?
Mar
22
comment Recurrence relation for the number of ternary trings containing 2 consecutive zeros vs not containing
How do you obtain the closed form without OEIS?
Mar
22
comment Reference request for practicing integration
@amWhy So if cost wasn't an issue, you would suggest Zwillinger's book?
Mar
22
comment Discretization of Inhomogeneous Dirichlet Boundary Conditions for 2D Poisson's Equations
@Kaster I've been meaning to get back to you. I've been quite busy, but as soon as I can, I'll post it!
Mar
18
comment Generating function: number of partitions that add up to at most $n$
Yeah, I meant product. I don't understand why that changes the number of partitions of the integer $n$ to number of partitions that add up to at most $n$. I guess I don't understand the convolution part. The only time I've been introduced to that was in differential equations.