409 reputation
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location Caltech
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visits member for 1 year, 2 months
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Caltech Undergraduate Math Major


22h
answered I need help solving $\frac{(xy)^{-3}}{(x^{-5}y)^3}$ along with how to do it step-by-step.
22h
comment shortest distance between the point $(0,-3)$ and the curve $y=1+a_{1}x^2 + a_{2}x^4 + …+a_{n}x^{2n}$
Are you looking for an answer in terms of $a_i$ or is there a rsetriction on how many of those variables you can use?
1d
comment Gap year to study math
@Newb I would have put a line break if I had remembered how to point out that I wasn't sure who it was. Sorry I wasn't clear.
Jul
6
accepted How do Homology Groups work
Jul
6
comment Gap year to study math
Yeah. I took two classes that both lasted all three years. Out of curiosity, why the down vote? In opinion, when the OP says top 5, he might mean top 5. There are at least 5 other frosh that did the same (if not more) out of a total class (not all math majors) of 230, so this ins't uncommon.
Jul
5
comment How do Homology Groups work
I meant talk about something when it matters how it is defined in particular to that problem. Like oh so many questions about proving something about the nature of $e$.
Jul
5
comment How do Homology Groups work
So, to clarify, the point(or at least one of the points) of homologies is to talk about holes in a rigorous way. So in the case of a Torus ($S^1 x S^1$) we have Z for 0-d because it is connected, and we have ZxZ for 1-d because there are circles that we can kinda "shove in there" that would prevent us from squeezing the shape in. Where does the 2-d hole come from (as wikipedia mentions)? Is it the "munchkin," part of the torus?
Jul
5
comment How do Homology Groups work
I'm sorry. It really bothers me when people do something careless like that.
Jul
5
asked How do Homology Groups work
Jul
4
answered Gap year to study math
Jul
3
revised Volume of the cooking pot
added 17 characters in body
Jul
3
comment Volume of the cooking pot
Darn. I suppose this is why I should draw diagrams at 3:41. Since it seems like some type of hw problem, I hope he/she used the method and therefore got the right answer.
Jul
3
comment Generalization of Fibonacci using Generating Functions
Thank you so much for writing this all out for me. Slightly confused from the point "If we use the explicit formula for...." on. Which explicit formula is that? is that the Fibonacci formula generalized formula? In the last box, is that meant to be multiplication between $a_{n-m}$ and $a_{m+1}$? Additionally, what is the final GF? Or is the fact that you have the explicit form, mean the GF is mostly useless? Again, thank you so much.
Jul
2
comment Recalculating an interest amount with a lower rate
Indeed. To be more explicit, the information necessary to answer your question is: "How is the interest compounded?"
Jun
30
comment correct Set theory notations.
I have never seen $\phi$ personally. You might note that there is no "correct," notation, only an accepted one. If you clearly label your symbols you can be correct, just have very sad readers.
Jun
30
comment Generalization of Fibonacci using Generating Functions
O.K. that seems to make sense. I'm a bit unsure what to do once I get to that point, but I should probably post it as a new question. I can get the GF but in terms of $a_0, a_1$ and don't know how to get it in terms of $a_b and a_c$
Jun
30
comment Population Proportions
705 and 795 come from .47*1500 and .53*1500 respectively. We want how likely it is that the sample we choose will be between 47 and 53 percent and we know the sample size. so we can solve for how many people that makes which imo is easier to think about than percents
Jun
30
revised Confidence Intervals and Inferences
fixed LaTeX
Jun
30
answered Confidence Intervals and Inferences
Jun
30
suggested suggested edit on Confidence Intervals and Inferences