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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,605

I would just stick it into the formula I get when I solve the recursion.

The fun way by me is the solving recursion one.maybe there's been a misunderstanding.

*Last edited by anonimnystefy (2012-03-03 12:15:42)*

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 88,882

Solving the recursion is fun. Getting it, is more fun.

Now, the important question. Since you knew enough math to solve the problem why did you need help?

**In mathematics, you don't understand things. You just get used to them.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,605

Hi bobbym

I couldn't get the numbers right.

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 88,882

Okay, are you clear on it now?

**In mathematics, you don't understand things. You just get used to them.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,605

I think I am.When can we expect the next problem?

Btw, these are more fun when I actually know how to solve them.

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 88,882

The next one comes as soon as I solve it.

**In mathematics, you don't understand things. You just get used to them.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,605

Hi bobbym

ok.I really hope that it well be soon because these problems really look easier for now.

Here lies the reader who will never open this book. He is forever dead.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 88,882

You are not thinking competitively. Here is a good rule of thumb. If ole m did the problem how tough can it be?

**In mathematics, you don't understand things. You just get used to them.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,605

Hi bobbym

If I understood you correctly than your reasoning isn't correct.You can solve much harder problems than I can.

Here lies the reader who will never open this book. He is forever dead.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 88,882

Nope! The first step in passing someone else, is believing that you can.

Wyatt Earp wrote:

I never saw a gunfighter so fast he lived to celebrate his 35th birthday.

**In mathematics, you don't understand things. You just get used to them.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,605

Just believing won't make it true.We don't need another Tee.

Here lies the reader who will never open this book. He is forever dead.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 88,882

But what if it is true? Knowledge can lead to problems. Some things are better when they are unknown.

**In mathematics, you don't understand things. You just get used to them.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,605

Yes, to that I agree, but that's just the general case.It doesn't apply to mathematics.

Here lies the reader who will never open this book. He is forever dead.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 88,882

It applies to everything:

A former world champion wrote:

Overconfidence is a serious weakness. Lack of confidence is death.

**In mathematics, you don't understand things. You just get used to them.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,605

Not mathematics.

Here lies the reader who will never open this book. He is forever dead.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 88,882

Yes, but you use terms that have no definition in mathematics. What is a harder problem? What is an easy one?

**In mathematics, you don't understand things. You just get used to them.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,605

They use more complex mathematic tools.

Here lies the reader who will never open this book. He is forever dead.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 88,882

Men put ratings on things like more complex. They are often wrong. Math is the last field where a person can find his own way. As you should know they teach NCr's to high school students. They teach generating functions to graduate students. It should be the other way around.

**In mathematics, you don't understand things. You just get used to them.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,605

Hi bobbym

That its kinda weird but I would never rate it that way.I mean, it's obvious that adding naturals is less complex than multiplying octonions and sedenions.

Here lies the reader who will never open this book. He is forever dead.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 88,882

But I do not use complex methods. I always try the simplest ideas.

**In mathematics, you don't understand things. You just get used to them.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,605

Hi bobbym

I wasn't talking about you personally.It's just that some problems use some things I don't know how to practically use yet. GFs for example.

Here lies the reader who will never open this book. He is forever dead.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 88,882

You were already taught more than enough to use GF's more effectively than NCr's and NPr's.

**In mathematics, you don't understand things. You just get used to them.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,605

NCr's?

and I don't know how to use them because I don't know how to set up a GF for a given problem.

Here lies the reader who will never open this book. He is forever dead.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 88,882

Ever seen these?

That is traditional method. Many people can not get it. Others hate it. The GF's are just Taylor series without the mess of proving this or that convergence. They all end up being mere polynomial multiplication.

**In mathematics, you don't understand things. You just get used to them.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,605

Hi bobbym

I've seen them.We study them at school. Most problem are taught to be done using them.

Could you show me an example of an easier problem done using GF's so I get the picture?

Here lies the reader who will never open this book. He is forever dead.

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