Mathematics

what do you mean by "translate to"? as far as I can tell, the meaning of (x+1)^2 is already clear, there is nothing to translate it into and no reason to even if there were

do you mean "if ax^2+bx+c=(x+5)^2 then what are a,b,c?" or do you mean "if (ax+b)^2=(x+5)^2 then what are a, b?"

TheGuyWhoCouldn'tTalkToTheGirl

1:58 AM

Well, I am writing an analysis on what happens to the graph of the equation as its values change, so I need a way to refer to the 5 in (x+5)^2

anon

5 is just 5. unless there is a general form you are considering...

you are not organizing or communicating your thoughts very well it seems to me

TheGuyWhoCouldn'tTalkToTheGirl

So I say as the second part of the equation increases, then the graph....?

anon

what is "the equation"? do you mean the quadratic function f(x)=ax^2+bx+c? what do you mean?

TheGuyWhoCouldn'tTalkToTheGirl

So well, I need to analyze what happens to the graph when I graph (x+1)^2 vs (x-5)^2

So I need some way to refer to the +1 and -5 part.

"The graph moves to the left as the '+1' value increases." That sounds weird.

anon

okay, so you are looking at equations of the form y=(x+a)^2 where a varies. you can put any letter in there where I have "a" and then refer back to that letter. that's how math works!

TheGuyWhoCouldn'tTalkToTheGirl

2:01 AM

Yeah, I guess I just needed to know what to call it and it would be "a." Thanks! :D

anon

for example, say y=(x+c)^2 and allow c to vary, or y=(x+h)^2 and allow h to vary, it doesn't matter which letter you pick

TheGuyWhoCouldn'tTalkToTheGirl

Right, thanks :)

cyberskull

6:42 AM

...and if you ask "why?" you will find your answer here.

:D

Sush

How to prove that the Complex numbers can't be ordered?

cyberskull

maybe, you should first ask how can you prove that the real numbers can be ordered?

dfeuer

7:02 AM

Why is it that so many people define topological closure as the union of a set and its limit points? That seems such an ugly definition.

cyberskull

ugly as compared to what?

dfeuer

As compared to 1. The intersection of all closed sets containing it as a subset, or 2. The smallest closed set containing it as a subset, or 3. The set of "adherent points" of the set, where an adherent point is a point $x$ in the space such that every open set about $x$ contains an element of the set.

I imagine there's a pleasant characterization in terms of limits of filters, but I'm too tired to think about that right now. The characterization in terms of limits of nets is a little too complex to be a good definition.

cyberskull

sleep well

dfeuer

THANKS.

That is unlikely.

But I realy do need to try.

*really

cyberskull

8:55 AM

International Talk Like a Pirate Day

International Talk Like a Pirate Day (ITLAPD, September 19) is a parodic holiday created in 1995 by John Baur (Ol' Chumbucket) and Mark Summers (Cap'n Slappy), of Albany, Oregon, U.S., who proclaimed September 19 each year as the day when everyone in the world should talk like a pirate. For example, an observer of this holiday would greet friends not with "Hello," but with "Ahoy, matey!" The holiday, and its observance, springs from a romanticized view of the Golden Age of Piracy. It has become a holiday for members of the Church of the Flying Spaghetti Monster. History According to...

kahen

9:08 AM

Yarrrrrr. Shiver me timbers! I had completely forgotten about that.

cyberskull

:D

Yarrrrrr. Shiver me integrals!

J L

9:27 AM

can someone tell me why my post body isn't meeting the quality standards?

How do i integrate (int)(0topi)(cosx)^4(sinx)dx without using parts or trig integrals or trig substitution? Just plain u substitution?

All I can think of for u substitution is cosx, sinx, or cos^2x but those don't take care of anything..

Is there some kind of trig identity i have to use?

Help?

ughhhhh seriously ill just skip the problem

Tobias Kildetoft

@JL You should probably look up how to do math markup on this site

J L

i never had a problem with not using math mark up before on this site though..... why wouldnt it meet the guidelines?

Tobias Kildetoft

@JL hard to say. It is pretty hard to read what the math in it says, which might be the problem. But the precise algorithms are secret

J L

does anyone know of any other fast math help sites =_=

Tobias Kildetoft

@JL just take a few minutes to look through how your other questions have been edited to see how to do the markup

I am fairly certain it will be good enough then

J L

9:33 AM

i just found an online integrator and figured out how to do it i think

-1/5cos(x)^5

Tobias Kildetoft

finding out what the answer is is not the same as figuring out how to do it

J L

yeah but that reminds me of some rule where cos^n = -1/n cos^n right?

or i could be wrong...

Tobias Kildetoft

that seems clearly wrong if you integrate the right side

sorry, differentiate

J L

oh wait that was cos(nx)

not cosx^n

cosnx antidirivative = 1/n sin(nx)

ugh

cyberskull

Learning the skill that Tobias is suggesting you acquire will help you out a lot...in the long run

J L

9:40 AM

im positive its not the markup though, because i put the same math symbols in the title and it was ok

Tobias Kildetoft

@JL what do you mean it was ok? Can the title be rejected separately?

J L

last time i checked yes

this is my body

How do i integrate cos(x)^4*sin(x) without using parts or trig integrals or trig substitution? Just plain u substitution?

All I can think of for u substitution is cos(x), sin(x), or cos(x)^2 but those don't take care of anything..

Is there some kind of trig identity i have to use?

i've spent way too long just trying to figure out how to ask this question

i should have just moved on

my test is tomorrow

cyberskull

then do so

Mercury

10:06 AM

Hello all, quick question: how do you call a function which statisfy:
f(x,y)=f(x)*f(y)

Karl Kronenfeld

10:24 AM

@Mercury Hi, what does the comma mean? If it means f takes two arguments then how does it take just one on the right hand side?

kahen

I don't know if I have a name for it, but it looks like the standard beginning of a separation of variables argument in solving a PDE

Martin Sleziak

10:35 AM

I wonder why one vote was sufficient to approve this suggested edit.

kahen

And the person who made the edit apparently doesn't know that you can just write \frac1n instead of \frac{1}{n}. It saves some typing.

Karl Kronenfeld

@MartinSleziak I guess if you're the original poster and you approve of the suggested edit, then it only needs your vote.

Martin Sleziak

Oh, I did not notice it was the OP.

D'oh

kahen

Also, Archimedean is misspelled

Martin Sleziak

At least it was not completely pointless that I§ve mentioned it here.

kahen

10:40 AM

The benefits of having high rep: You can fix people's typos without needing someone to approve your edits ^_^. Though I usually only do that when it's only a few small errors. Fixing up posts full of typos and bad TeX usage suuucks.

Martin Sleziak

I should have remembered the thing about OP approving suggested edits.

The disadvantage of having high rep: You can make typos in other people's posts and without approval process they are less likely to be caught.

Martin Sleziak

10:54 AM

@JL Do you want to avoid $u(x)=\cos x$ for some reason.

That should work almost immediately.