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#551 2012-04-09 10:37:37
- anonimnystefy
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- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,049
Re: Oh,Oh,Oh,merry analysis!!!
Yes,I know that unconventional methods are used,but I really don't know which one of these methods I should use.
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.
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#552 2012-04-09 10:39:53
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Oh,Oh,Oh,merry analysis!!!
I really don't know which one of these methods I should use.
None of the methods you did use. If you would have tried Wolfram first you never would have tried any substitution or IBP or anything that works on a textbook problem.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#553 2012-04-09 10:42:06
- anonimnystefy
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- From: Harlan's World
- Registered: 2011-05-23
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Re: Oh,Oh,Oh,merry analysis!!!
What about DUIS or contour integration?Or switching to polar?Or anything? Should we even find the definite integral or is there a way to evaluate it directly?
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.
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#554 2012-04-09 10:45:29
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Oh,Oh,Oh,merry analysis!!!
Maybe some of that kaboobly doo might work. But we will try them last, not first. You should look at series methods, generating functions first, in short the techniques of the modern experimental mathematics.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#555 2012-04-09 10:46:35
- anonimnystefy
- Real Member
- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,049
Re: Oh,Oh,Oh,merry analysis!!!
Wait for a couple of minutes.I will be back quickly.Just need to get rady for bed.
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.
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#556 2012-04-09 10:50:22
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Oh,Oh,Oh,merry analysis!!!
Neo: What is the Matrix?
Morpheus: A box for your mind.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#557 2012-04-09 10:55:05
- anonimnystefy
- Real Member
- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,049
Re: Oh,Oh,Oh,merry analysis!!!
What does that have to do with integrals.
Okay,let's get busy. What method do you suggest we do first?
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.
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#558 2012-04-09 10:57:41
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Oh,Oh,Oh,merry analysis!!!
What does that have to do with integrals.
You are not remembering Richard and his amusing story.
None, we should continue with the series we were discussing. The methods of series manipulation will come in handy for all integrals and sums.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#559 2012-04-09 10:59:07
- anonimnystefy
- Real Member
- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,049
Re: Oh,Oh,Oh,merry analysis!!!
Okay. But I want to be able to do the integral afterwards!
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.
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#560 2012-04-09 11:01:10
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Oh,Oh,Oh,merry analysis!!!
Forget the integral for awhile, come out of that box as Richard did.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#561 2012-04-09 11:03:35
- anonimnystefy
- Real Member
- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,049
Re: Oh,Oh,Oh,merry analysis!!!
Okay. Let's begin.
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.
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#562 2012-04-09 11:04:00
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Oh,Oh,Oh,merry analysis!!!
How much time do you have?
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#563 2012-04-09 11:04:49
- anonimnystefy
- Real Member
- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,049
Re: Oh,Oh,Oh,merry analysis!!!
Enough.
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.
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#564 2012-04-09 11:06:39
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Oh,Oh,Oh,merry analysis!!!
Several hours?
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#565 2012-04-09 11:07:12
- anonimnystefy
- Real Member
- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,049
Re: Oh,Oh,Oh,merry analysis!!!
Yup. Just begin!
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.
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#566 2012-04-09 11:16:28
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Oh,Oh,Oh,merry analysis!!!
Hi;
Hold on then for the RRA.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#567 2012-04-09 11:19:17
- anonimnystefy
- Real Member
- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,049
Re: Oh,Oh,Oh,merry analysis!!!
Rra?
Last edited by anonimnystefy (2012-04-09 11:24:30)
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.
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#568 2012-04-09 11:26:38
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Oh,Oh,Oh,merry analysis!!!
Riemann Rearrangement Algorithm. You are surely familiar somewhat with the Riemanns hypothesis?
Well a funny thing was discovered when someone was finally allowed to look through his original notebooks on the hypothesis. The examiner expected to find great pieces of insight. Great topology and sublime proofs. Instead they found nothing but numerics! Riemann was an experimental mathematician. This is little known because it is too embarassing to modern mathematicians.
Anyway, they found the RRA in the work.
Remember the original series needed 20 000 000 terms to achieve 6 digit accuracy. One application of the RRA produces
Notice we have 7 correct digits with only 2000 terms. A speedup of 10000 times!
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#569 2012-04-09 11:34:43
- anonimnystefy
- Real Member
- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,049
Re: Oh,Oh,Oh,merry analysis!!!
That really is a speed-up!!!
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.
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#570 2012-04-09 11:35:22
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Oh,Oh,Oh,merry analysis!!!
Not really the RRA can be applied again!
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#571 2012-04-09 11:37:54
- anonimnystefy
- Real Member
- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,049
Re: Oh,Oh,Oh,merry analysis!!!
What did he get?
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.
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#572 2012-04-09 11:39:11
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Oh,Oh,Oh,merry analysis!!!
This gets 7 digits of accuracy from only 200 terms.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#573 2012-04-09 11:40:46
- anonimnystefy
- Real Member
- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,049
Re: Oh,Oh,Oh,merry analysis!!!
And again?
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.
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#574 2012-04-09 11:43:01
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Oh,Oh,Oh,merry analysis!!!
7 digits with 50 terms.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#575 2012-04-09 11:44:02
- anonimnystefy
- Real Member
- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,049
Re: Oh,Oh,Oh,merry analysis!!!
Let's do it again. And how do we exactly apply RRA?
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.
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