/sci/ - Science & Math

"guess the sequence" is for faggots

5 is the correct answer

Not science.

<span class="math">
f(x) = \begin{cases} 2 & x =1 \\ 16 & x = 2 \\ 65 536 & x = 4 \\ 33 554 432 & x = 5 \\ 0 & x \notin \{1,2,4,5\} \end{cases}
[/spoiler]

<span class="math"> f(x) = 2^(x^2) [/spoiler]

Using interpolating polynomial;
<span class="math"> 65536+\frac{7}{6} (-4+x) (4784138+x (-7152799+2387385 x)) [/spoiler]

>>3141288
fuck latex
2^(x^2)

>>3141292
<div class="math">
f(x) = \begin{cases} 2 & x =1 \\ 16 & x = 2 \\ 65 536 & x = 4 \\ 33 554 432 & x = 5 \\ 0 & x \notin \{1,2,4,5\} \end{cases}
</div>

jsmath sucks

Wtf am i doin wrong with latex?

<span class="math">
\begin{align*}
f(x) = \begin{cases} 2 & x =1 \\ 16 & x = 2 \\ 65 536 & x = 4 \\ 33 554 432 & x = 5 \\ 0 & x \notin \{1,2,4,5\} \end{cases}
\end{align*}
[/spoiler]

>>3141292
>>3141300
>>3141310
lol, give up, faggot.

>>3141313
Who are these women you always post?

Unless you make some assumptions about the form of this function then there is no way to know what f(x) is.

>>3141317
her:
http://www.youtube.com/user/factvsreligion

>>3141323
i already posted the correct answer you fucking nigger. nothing else works. its this.
>>3141294

Infinite possible solutions.

>>3141313
NEVAR!!

<span class="math">
<div class="math">
f(x) = \begin{cases} 2 & x =1 \\ 16 & x = 2 \\ 65 536 & x = 4 \\ 33 554 432 & x = 5 \\ 0 & x \notin \{1,2,4,5\} \end{cases}
</div>
[/spoiler]

You think that a polynomial of degree four can't be made to fit through any four points? Fuck off EK.

>>3141294
Ok how'd ya figure it out?

>>3141331
no there fucking isn't you stupid fucking retard. post one solution other than mine, then.

>>3141337

Fucking latex, how does it work?

>>3141328
Mine.
>>3141296

FUCK OFF WITH YOUR HOMEWORK.
WE ONLY ANSWER YOU IF YOU HAVE A PhD

Hey, EK. Can you show us your breasts?

There are always infinite number of solutions in these problems.

>>3141337
lol, i admire your tenacity.

>>3141338
you are a full fucking retard. never respond to me again!

>>3141340
i noticed that f's 1-4 were all in the 2^x series, and guessed that 2^5 might be as well.
after a bit of wolframing, it wasnt difficult to figure out that it worked perfectly when x was squared.

Ok, I give up. Anyone care to explain, why this doesn't work?

f(x) = \begin{cases} 2 & x =1 \\ 16 & x = 2 \\ 65 536 & x = 4 \\ 33 554 432 & x = 5 \\ 0 & x \notin \{1,2,4,5\} \end{cases}

hello friends

how long would it take to adequately learn latex, and is it worth learning?

>>3141343
f(1) comes out as about -3 million, not 2, as it is supposed to.
http://www.wolframalpha.com/input/?i=65536%2B67%28%E2%88%924%2B1%29%284784138%2B%28%E2%88%927152799%
2B2387385%29%29

>>3141353
i can, but i wont. never ask this again.

>>3141356
NO
THERE
FUCKING
ISNT

>>3141336

shut up
the guy is right,theres an infinite number of solution


2^(x^2) + (x-1)(x-2)(x-4)(x-5) is another solution


if you define a finite number of values for a function
there is an infinite number of polynoms that verify these values

>>3141360
You forgot to put the [ma th] [/ma th] tags.

>>3141370
>>3141370
yes there is

>you-never-said-the-functions-had-to-be continuous.tar.gz

i'll take my infinite number of piecewise linear functions and destroy this question.

>>3141360
enjoy: http://www.artofproblemsolving.com/Wiki/index.php/LaTeX:Symbols
(there are others as well)

>>3141370
Hey, Ek, can you solve this one?

2^x + 3^x = 50

And I'm not talking about Wolfram, or finding the roots, but solving it properly in a step-by-step method to arrive at the answer those other tools would give you.

>>3141382
>derp
I left them out to show you teh code instead of "unknown control sequence"...
Wait, did you just troll me?

Proof of infinitely many solutions;
Let
<span class="math">f(x,r)=\frac{1}{120} (3 r (-5+x) (-4+x) (-2+x) (-1+x)+4 x (-133399128+x (233489354+x (-116785497+16695331 x))))[/spoiler]
<span class="math">f[/spoiler] satisfies the restrictions above for all <span class="math">r[/spoiler].
<span class="math">r[/spoiler] may take on any value in complex plane. Therefore infinitely many solutions.

>>3141390
Oh, yeah, and the answer is 3.3528. How do you do it, though?

>>3141381
>>3141381
check mate EK you massive faggot

>>3141370

You can fit any two points on a line right?
You can fit any three points on a parabola right?
You can fit any four points on a polynomial of degree four.
Etc, etc, etc.

Now tits or gtfo you dumb whore.

>>3141381
...
http://www.wolframalpha.com/input/?i=2^%28x^2%29+%2B+%28x-1%29%28x-2%29%28x-4%29%28x-5%29+%3D+2^%28x
^2%29
FFFFUUUU!!!

>>3141384
I have big latex symbol tables myself.
But I still don't see any syntactic erros in my statement.

>mfsw i realise EK knows nothing about mathematics

>>3141390
xLOG3+xLOG2 = LOG50.
log3+log2 = (LOG50)/x
...
*use calculator*

>>3141370
You wrote 7*6 not 7/6.
I took the time to fix it for you EK;
http://www.wolframalpha.com/input/?i=65536+%2B+7%2F6+%28-4+%2B+x%29+%284784138+%2B+x+%28-7152799+%2B
+2387385+x%29%29
I know how writing out equations can be hard for people in your position.

>>3141413
xlog(2) + xlog(3) =/= log(2^x + 3^x)

You can't take them separately.

>>3141413
i mean x = log50/(log2+log3)
then *use calculator*

>>3141370
You don't know much about math?
How many different aswers there would be if there would be only two points?

It btw helps to copy the function correctly:
>http://www.wolframalpha.com/input/?i=65536%2B7%2F6%28%E2%88%924%2B1%29%284784138%2B1*%28%E2%88%9
27152799%2B2387385*1%29%29

JESUS FUCKING CHRIST EK JUST DETRIP, FUCK OFF AND GO BACK TO HIGH SCOOL.

and yes, imad you arrogant stupid whore.

>>3141427
Here's some help: log(a+b) = log(a((b/a)+1)) = log(a) + log((b/a)+1)

<span class="math">
derp = \begin{cases} hurr \\ durr \end{cases}
[/spoiler]

>>3141417
nah, your not claiming that. exact solutions or GTFO.

<span class="math">
penis = \left\{\begin{array}{ll} penis & penis \\ penis & penis \end{array}
[/spoiler]

>>3141436
HAHHAHHAH!
i fucking love it...

>>3141475

Have you still not realized that you were wrong EK?

f(x) = 2 if x <= 1
= 16 if 1 < x <=2
= 65 536 if 2 < x <= 4
= 33 554 432 if 4 < X

<div class="math">
derp = \begin{cases} hurr \\ durr \end{cases}
</div>

>>3141396
alright, fine. but OP only needed one solution and i provided it.
/thread

It works perfectly with my normal latex,
it works perfectly with jsmath on their official homepage,
but it fucking doesn't work on /sci/.
How do I make a distinction of cases ifor a function here?

>>3141496
Get rid of the \\, then.

>>3141499
How do I separate my lines then?

>>3141502
Two different operations of [ma th] [/ma th]

>>3141504
But I need the whole block to be surrounded by an opening {
liek in the pic

<span class="math">
derp = \begin{cases} hurr \\* durr \end{cases}
[/spoiler]

>>3141514
At least I'm not the only one failing.
But I'm sure I've seen a working version of this on /sci/ some days ago.
So it's not impossible.

<span class="math">
derp = \begin{cases} hurr \linebreak{1} durr \end{cases}
[/spoiler]

<span class="math">
derp = \begin{cases} hurr \newline durr \end{cases}
[/math[/spoiler]

>>3141460
You give me the impression that you don't know what an exact solution is.

An exact solution is not <span class="math"> f:\mathbb{Z} \to \mathbb{Z} [/spoiler].
OP did not specify the a restriction on <span class="math"> f(3) [/spoiler].

>>3141490
>>3141496
You could try something like this;
<span class="math"> derp = \left\{\begin{matrix}
derp
\\ herp

\end{matrix}\right.[/spoiler]

<span class="math"> \begin{equation} derp = \begin{cases} hurr \\ durr \end{cases} \end{equation} [/spoiler]

<span class="math">derp = \begin{cases} hurr \textrm{\\} durr \end{cases}[/spoiler]

>>3141507
use \atop
<div class="math">derp=\left\{{hurr \atop durr}\right\}</div>
And use greasemonkey with the script that gives you the latex preview button in 4chan, so you don't have to post to test

<span class="math">derp = \begin{cases} hurr \newline durr \end{cases} [/spoiler]

>>3141545
Cool, thank you.
Does it also work with more than one linebreak?

<span class="math">derp=\left\{{hurr \atop {durr \atop penis}}[/spoiler]

>>3141549
<span class="math">derp=\left\{{hurr \atop {durr \atop penis}}\right\} [/spoiler]

>>3141264

f(x) = (2^x)^x

Thread over.

>>3141553
More than one? Indeed!
<span class="math">\newcommand{\aaaa}[1]{{{#1} \atop {#1}{#1}}}[/spoiler]
<span class="math">\newcommand{\bbbb}{\displaystyle{{{S \atop CI} \atop ENCE}}} \bbbb[/spoiler]
<span class="math">\newcommand{\cccc}{\aaaa{\bbbb}} \cccc[/spoiler]
<span class="math">\newcommand{\dddd}{\aaaa{\cccc}} \dddd[/spoiler]
<span class="math">\newcommand{\eeee}{\aaaa{\dddd}} \eeee[/spoiler]

>>3141564

oh shit, it's triforce tiem again

>>3141564
Nice, thank you, dude, although I don't understand your latex code.

>>3141554

Read the thread before posting. That is a legitimate solution, but there are infinite more.

>>3141564

EK solve this

If a cell had a cell cycle of 4h 18 minutes how long (in minutes) would it take for the cell to divide into 8 cells?

Dear EK,

You're ASSUMING the domain and range are real numbers. You're ASSUMING that f isn't a piecewise function. Your answer is one of MANY correct answers. Here, I'll show you another one.

Let A={1,2,3,4,5} and B={0,2, 16, 65536, 33554432}. We define f: A->B by the following relations:

f(1)= 2
f(2)= 16
f(3)= (0)
f(4)= 65536
f(5)= 33554432

So what is f(x)? I bet it isn't 2(x^2) you stupid bitch.