Man, i don't even know where to begin.

set b = 1, problem solved

>>490035
my fellow anon, this is one of those situations where you bite the bullet and load up maple

>>490056
I already know the answer, I was just seeing if anyone on /sci/ had the gusto to find the answer.

I wouldn't have thought it was anyway. This goes beyond any reasonable homework (in that it is way too much repetition). I would do it if I gave a fuck, but it's just a stupid endeavor. Really, it's no different than when a 5th grader goes "What's 4*5*17*245*374*43?" Sure, it take a little while to do it, but it's easy.

>>490045
If I may, just plug this bitch into mathematica, and it is done.

wow that seems like a boring, mindless problem, op

>>490073
Same here.

>>490073
Nah, this is funnier, because the answer is actually zero.

multiply everything by b^36 to get rid of those pesky denominators

Okay guys, the answer is zero:

1b20−10b18+36b16−56b14+35b12−6b10−b21b18−8b16+21b14−20b12+5b10−b21b14−6b12+10b10−4b8+b22(1b16−7b14+15b12−10b10+1b8)=0

The fractions with the b^2 denominator can be separated, i.e. 1/(b^18 * b^2) - 8/(b^16 * b^2) + ...
Not hard at all.

>>490112
multiply both sides by zero

bam, simplified

>>490127
No, but seriously, 1b20−10b18+36b16−56b14+35b12−6b10−b21b18−8b16+21b14−20b12+5b10−b21b14−6b12+10b10−4b8+b22(1b16−7b14+15b12−10b10+1b8)==0 is true for any b

>>490133
what about b=0

>>490138
especially b=0

>>490133
not for b = 0

>>490142
It is pathetic that you called yourself a mathfag

>>490092
Oh, so it is. So it's like a fifth grader going "I bet you don't know what 37*3574*4357*354365*345745*100586*5270*0*35832*3567*574357*2*34576*45768927 is." Then laughing and going "It's zero!"

>>490155
lol, I'm well aware it's undefined, but the limit is well defined, and if you fully simplify the expression you get one which is well defined for all b, I just don't feel like nit-picking on 4chan.

>>490172
Technically just because you simplified the division by zero away, you can't just pretend it doesn't exist.

You're still supposed to say it's undefined for b = 0 even though it's not in the simplified form.

I never liked it either, but the purpose is to preserve any conditions that may have been around in the original situation.

b = 1 lol

>>490262
b = anything but zero lol

Hey /sci/,
are you manly enough to figure out the formula for f−1(X)?

Furthermore,
are you manly enough to calculate more numbers in this sequence? B(n+1) is gotten by taking B(n) steps in the counterclockwise spiral pictured here.

Again,
have you got the balls to calculate more numbers in this sequence? R(n+1) is gotten by taking R(n) steps in the counterclockwise spiral pictured here.

A program to calculate these would be very handy but it seems it would be a fucker to code.

Still,
I dare you to calculate more numbers in this sequence. The same way as before. I have yet to muster the energy to get up to 13, as it's pretty bothersome.

Hey /sci/, are you manly enough to make a function expressing the intensity of the smell of her vagina in relation to her level of hygiene?

Finally,
I bet you can't handle calculating twenty more numbers of this sequence and then calculating the sequence S(n)=B(n)−A(n)−R(n)−L(n).

Another interesting thing to look at would be the sequences PY(n)=m(f−1(Y(n))) where Y=BRAL and f−1(Y(n)) gives the coordinates for the nth number in sequence Y and, as it appeared above, m=max(nk) is the shell the coordinates (nk) are on. So, for example,
PB(1)=0
PB(2)=1
PB(3)=1
PB(4)=2 (I now notice that there's an error in my code, it's supposed to be 122−1 not 121−1
PB(5)=3
PB(6)=4
PB(7)=6
PB(8)=9
PB(9)=11
PB(10)=16
PB(11)=23
PB(12)=33
PB(13)=47

Also, if you notice any more mistakes, please tell me.

Here's the code for the B-sequence, if someone's interested. You need \usepackage[all]{xy}.

\begin{displaymath}
\xymatrix{
43_{-3,3}\ar@{.}[r]\ar@/_/[d]_{18} & 44_{-2,3}\ar@{.}[r]\ar@/_/[l]_{17} & 45_{-1,3}\ar@{.}[r]\ar@/_/[l]_{16} & 46_{0,3}\ar@{.}[r]\ar@/_/[l]_{15} & 47_{1,3}\ar@{.}[r]\ar@/_/[l]_{14} & 48_{2,3}\ar@{.}[r]\ar@/_/[l]_{13} & 49_{3,3}\ar@{.}[r]\ar@/_/[l]_{12} & \ldots\\
42_{-3,2}\ar@{.}[u]\ar@/_/[d]_{19} & 21_{-2,2}\ar@{.}[r]\ar@/_/[d]_8 & 22_{-1,2}\ar@{.}[r]\ar@/_/[l]_7 & 23_{0,2}\ar@{.}[r]\ar@/_/[l]_6 & 24_{1,2}\ar@{.}[r]\ar@/_/[l]_5 & 25_{2,2}\ar@{.}[r]\ar@/_/[l]_4 & 26_{3,2}\ar@{.}[d]\ar@/_/[u]_{11}\\
41_{-3,1}\ar@{.}[u]\ar@/_/[d]_{20} & 20_{-2,1}\ar@{.}[u]\ar@/_/[d]_9 & 7_{-1,1}\ar@{.}[r]\ar@/_/[d]_2 & \textcolor{red}{\mathbf{8}}_{0,1}\ar@{.}[r]\ar@/_/[l]_1 & 9_{1,1}\ar@{.}[r]\ar@/_/[l]_4 & 10_{2,1}\ar@{.}[d]\ar@/_/[u]_3 & 27_{3,1}\ar@{.}[d]\ar@/_/[u]_{10}\\
40_{-3,0}\ar@{.}[u]\ar@/_/[d]_{21} & 19_{-2,0}\ar@{.}[u]\ar@/_/[d]_{10} & 6_{-1,0}\ar@{.}[u]\ar@/_/[d]_3 & \textcolor{red}{\mathbf{1}}_{0,0}\ar@{.}[r]\ar@/_/[d]_1 & 2_{1,0}\ar@{.}[d]\ar@/_/[u]_3 & 11_{2,0}\ar@{.}[d]\ar@/_/[u]_2 & 28_{3,0}\ar@{.}[d]\ar@/_/[u]_9\\
39_{-3,-1}\ar@{.}[u]\ar@/_/[d]_{22} & 18_{-2,-1}\ar@{.}[u]\ar@/_/[d]_{11} & 5_{-1,-1}\ar@{.}[u]\ar@/_/[d]_4 & \textcolor{red}{\mathbf{4}}_{0,-1}\ar@{.}[l]\ar@/_/[r]_1 & 3_{1,-1}\ar@{.}[l]\ar@/_/[u]_2 & \textcolor{red}{\mathbf{12}}_{2,-1}\ar@{.}[d]\ar@/_/[u]_1 & 29_{3,-1}\ar@{.}[d]\ar@/_/[u]_8\\
38_{-3,-2}\ar@{.}[u]\ar@/_/[d]_{23} & 17_{-2,-2}\ar@{.}[u]\ar@/_/[d]_{12} & 16_{-1,-2}\ar@{.}[l]\ar@/_/[r]_5 & 15_{0,-2}\ar@{.}[l]\ar@/_/[r]_6 & 14_{1,-2}\ar@{.}[l]\ar@/_/[r]_7 & 13_{2,-2}\ar@{.}[l]\ar@/_/[u]_8 & 30_{3,-2}\ar@{.}[d]\ar@/_/[u]_7\\
37_{-3,-3}\ar@{.}[u] & \textcolor{red}{\mathbf{36}}_{-2,-3}\ar@{.}[l]\ar@/_/[r]_1 & 35_{-1,-3}\ar@{.}[l]\ar@/_/[r]_2 & 34_{0,-3}\ar@{.}[l]\ar@/_/[r]_3 & 33_{1,-3}\ar@{.}[l]\ar@/_/[r]_4 & 32_{2,-3}\ar@{.}[l]\ar@/_/[r]_5 & 31_{3,-3}\ar@{.}[l]\ar@/_/[u]_6\\
}
\end{displaymath}

>>492086
Oh, and \usepackage{color} too.

why does Darwin look like a balder and buff George Carlin?

>>492103

Size of beard is directly related to intelligence.

This problem is pointless. If you're a mathfag try to go beyond number crunching. Learn some Linear Algebra or something.

>>492109
Then /v/ and /a/ would be full of intelligent people.

>>492103

>>494250
the names also resonate

"djohrdje karlinn"
"tsharls darwinn"

George Carlin
Charles Darwin

hmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm