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seen Aug 14 at 19:04

English teacher and current math student.


Aug
3
awarded  Yearling
Jul
20
comment Nonlinear system of equations / factoring two-variable cubic over $\mathbb{R}$
Both questions got answered :). Thank you again!
Jul
20
comment Nonlinear system of equations / factoring two-variable cubic over $\mathbb{R}$
Thanks, Calvin. I follow up through the step where you multiply the three equations together. After that, it looks like something got left out (i.e., the RHS of the equation that follows). At the moment, I have two questions for you, but I'll wait to see if the fix clears either of them up.
Jul
20
comment Nonlinear system of equations / factoring two-variable cubic over $\mathbb{R}$
@CalvinLin, Good point. I was just repeating what I had in my notebook; I was probably using homogeneous coordinates. Basically, $u = v = w$.
Jul
20
accepted Estimate length of confidence interval
Jul
20
asked Nonlinear system of equations / factoring two-variable cubic over $\mathbb{R}$
Jul
13
comment Find the radius of four congruent circles inside a right triangle
Of course! Maybe it was the unknowns being spread out all over the place that made me miss that. Who knows. In any case, it all makes sense now :). Thanks again!
Jul
12
comment Find the radius of four congruent circles inside a right triangle
Thank you very much! Right before I posted that, I said, "Well, there's the $3(a+b)$, there's the $\sqrt{a^2+b^2}$, ... Let me see if I can change my answers into the correct one." I didn't even consider changing the correct answer into one of mine! (Of course, they're logically equivalent!) Thanks also for pointing out the origin of the extra solution. To clarify, since there are a number of subtractions on the LHS, do you mean the $-2r$? Or does the blame get spread around? (Not so much that includes me, though!)
Jul
12
accepted Find the radius of four congruent circles inside a right triangle
Jul
12
asked Find the radius of four congruent circles inside a right triangle
Jul
10
revised How to prove which is bigger?
added 32 characters in body
Jul
10
revised How to prove which is bigger?
added 32 characters in body
Jul
10
comment How to prove which is bigger?
Good point. I was starting to look at the derivative cos I suspected that might help. I'll update momentarily.
Jul
10
answered How to prove which is bigger?
Jul
2
awarded  Curious
Jun
28
awarded  Enthusiast
Jun
27
revised marginal probability distribution
added latex
Jun
27
suggested suggested edit on marginal probability distribution
Jun
26
comment Factoring $x^4 -8a^2x^2 -48a^4 -8bx^3 - 32a^2 bx +16b^2x^2 +64a^2b^2$
Finally, is there a chance that information gets lost? Specifically, we know there's an $a^4$ term to start, and so I guess we know that $y^2 + 1 = y^2 + 1^2 = \lambda^2(x^2+(2a)^2)$. However, this is looking at the answer sort of after the fact. Is there something I should be keeping in mind along the way that tells me, "Hey, this is really $1^2$"? Again, thank you for your help.
Jun
26
comment Factoring $x^4 -8a^2x^2 -48a^4 -8bx^3 - 32a^2 bx +16b^2x^2 +64a^2b^2$
Thanks, Omran! A few questions: Even before the first step, how did you notice that this would be a good method? Was it because the exponents on $x, a, b$ for each term added up to 4? Next, why specifically $\lambda=1/2a$? That is, is it that 2 is small enough not to leave any fractions, but, when it occurs, $1/2^4$ will take out all those 16s? And why choose $a$? For example, I tried $\lambda=1/4b$, and got $F(y,z,1/4)=y^2(y^2+1)-8z^2(y^2+1)-48z^4+4z^2-2y^3$; I couldn't make meaningful progress from there.