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#1 2012-01-22 05:52:05

anonimnystefy
Real Member

Online

Oh,Oh,Oh,merry analysis!!!

hi guys

i wonder if you can guess what this topic is about from the title.anyway i have recently started looking into this a little,so i'm wondering if you can give a few problems for me to do?


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#2 2012-01-22 06:01:55

bobbym
Administrator

Online

Re: Oh,Oh,Oh,merry analysis!!!

What kind of analysis?


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#3 2012-01-22 06:03:49

anonimnystefy
Real Member

Online

Re: Oh,Oh,Oh,merry analysis!!!

well look at the title one more time.it's not spelled Ho,ho,ho as usual,but Oh,Oh,Oh.helpful?


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#4 2012-01-22 06:05:33

bobbym
Administrator

Online

Re: Oh,Oh,Oh,merry analysis!!!

So then you are trying to do Big Oh, or Landau notation as it is sometimes called?


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#5 2012-01-22 06:07:15

anonimnystefy
Real Member

Online

Re: Oh,Oh,Oh,merry analysis!!!

Correct!!!

so,can you give me some relatively simpler problems i could do?


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#6 2012-01-22 06:10:46

bobbym
Administrator

Online

Re: Oh,Oh,Oh,merry analysis!!!

Simplify

f(x)=6x^9+8x^8+11 using Big O notation.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#7 2012-01-22 06:13:38

anonimnystefy
Real Member

Online

Re: Oh,Oh,Oh,merry analysis!!!

i'm not sure what's meant by that.do you mean just

f(x)=O(x^9) ?

Last edited by anonimnystefy (2012-01-22 06:13:52)


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#8 2012-01-22 06:17:38

bobbym
Administrator

Online

Re: Oh,Oh,Oh,merry analysis!!!

Yes, that is correct.

What is the meaning of the Big O notation here:


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#9 2012-01-22 06:19:11

anonimnystefy
Real Member

Online

Re: Oh,Oh,Oh,merry analysis!!!

hi

well maybe that other terms are of "order" greater or equal to x^4.i saw this ex. on wiki.didn't read it carefully.

EDIT:i just looked at the wiki article.it means that the error of calculating the abs. difference e^x-1-x-x^2/2-x^3/6 is less in value than c*|x^4| for some const. c>0

Last edited by anonimnystefy (2012-01-22 06:36:27)


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#10 2012-01-22 06:19:31

John E. Franklin
Star Member

Offline

Re: Oh,Oh,Oh,merry analysis!!!

Big-O is like a sort-of estimation of the maximum or minimum or something near the answer.
Big-O square or Big-O log base 10, etc...


igloo myrtilles fourmis

#11 2012-01-22 06:21:20

bobbym
Administrator

Online

Re: Oh,Oh,Oh,merry analysis!!!

well maybe that other terms are of "order" greater or equal to x^4.i saw this ex. on wiki.didn't read it carefully

Not quite.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#12 2012-01-22 06:23:01

anonimnystefy
Real Member

Online

Re: Oh,Oh,Oh,merry analysis!!!

hi JEF

i read about that.but i think that the O(log x) does not really need a base specified.


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#13 2012-01-22 06:24:12

John E. Franklin
Star Member

Offline

Re: Oh,Oh,Oh,merry analysis!!!

oh yeah, I think you're right, it is a general overview type of statement.


igloo myrtilles fourmis

#14 2012-01-22 06:24:58

anonimnystefy
Real Member

Online

Re: Oh,Oh,Oh,merry analysis!!!

hi JEF

i'm not sure exactly why that is.

hi bobbym

i edited my post.

Last edited by anonimnystefy (2012-01-22 06:25:23)


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#15 2012-01-22 06:25:38

bobbym
Administrator

Online

Re: Oh,Oh,Oh,merry analysis!!!

What about mine?


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#16 2012-01-22 06:26:30

anonimnystefy
Real Member

Online

Re: Oh,Oh,Oh,merry analysis!!!

look at #14.


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#17 2012-01-22 06:27:45

bobbym
Administrator

Online

Re: Oh,Oh,Oh,merry analysis!!!

Hmmm, that is not correct.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#18 2012-01-22 06:29:02

anonimnystefy
Real Member

Online

Re: Oh,Oh,Oh,merry analysis!!!

how is it not correct.did you see the edit in #9


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#19 2012-01-22 06:31:02

bobbym
Administrator

Online

Re: Oh,Oh,Oh,merry analysis!!!

Yes, I did. That is what I am talking about.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#20 2012-01-22 06:33:21

anonimnystefy
Real Member

Online

Re: Oh,Oh,Oh,merry analysis!!!

what is it then?


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#21 2012-01-22 06:34:42

bobbym
Administrator

Online

Re: Oh,Oh,Oh,merry analysis!!!

You are copying straight from Wiki and not adapting the ideas it contains to the new problem.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#22 2012-01-22 06:37:02

anonimnystefy
Real Member

Online

Re: Oh,Oh,Oh,merry analysis!!!

changed it once more. smile


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#23 2012-01-22 06:40:00

bobbym
Administrator

Online

Re: Oh,Oh,Oh,merry analysis!!!

Which is asymptotically greater?

9^n or n!


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#24 2012-01-22 06:44:27

anonimnystefy
Real Member

Online

Re: Oh,Oh,Oh,merry analysis!!!

hi bobbym

i would say n!


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#25 2012-01-22 06:45:51

bobbym
Administrator

Online

Re: Oh,Oh,Oh,merry analysis!!!

Correct!

Log(n!) or e^n


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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