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I like them very much. However, I am asking whether the book would help me to solve them

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 94,015

Hi Agnishom;

The best way to learn anything is to solve problems. Dry lectures you will forget within a week, but a solved problem shows you how.

**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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Hmm...

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 94,015

It is how gAr, anonimnystefy and I work.

**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: 15,918

You can take a look at the "Oh, oh, oh, merry analsis", "Expectation", " Generating functions!", and many more. Many of them started because I (but not only I) wanted to learn about knew topics. You will find that all of those threads consist only of problems and nothing but problems.

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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What are these?

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,918

Various threads here on the forum.

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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Oh! I forgot

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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What does the big O notation signify?

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 94,015

Hi Agnishom;

There are many of these threads filled with good problems.

**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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Hmm..

But what is the meaning of the big O?

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 94,015

Hi;

The Big O notation is used to describe the limit of an algorithms performance as it approaches infinity or some other value.

wikipedia wrote:

big O notation is used to classify algorithms by how they respond (e.g., in their processing time or working space requirements) to changes in input size.

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

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Any example of it?

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 94,015

This is very simple and very watered down.

Supposing you wanted to add two two digit numbers. It would take you 2 additions to do it. If you had two four digit numbers it would take 4 additions. Notice as n ( the number of digits doubled the amount of work required also doubled. 4 additions to 2.)

We say that algorithm is linear and assign it O(n).

Now how about multiplication the way you were taught?

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

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I think multiplication should be linear too

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 94,015

Hi;

When you multiply two two digit numbers it takes 4 multiplications. When you two 4 digit numbers it takes 16 multiplications rather than the expected 8. When we triple the amout of digits 6 x 6 it takes 36 multiplications.

n

2 digits = 4 mults

4 digits = 16 mults

6 digits = 36 digits.

You can see that the relationship is n^2. We say that the operation of schoolboy multiplication is O(n^2).

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

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**mathgogocart****Member**- Registered: 2012-04-29
- Posts: 1,447

bobbym wrote:

Hi Agnishom;

The best way to learn anything is to solve problems. Dry lectures you will forget within a week, but a solved problem shows you how.

what about a wet lecture?

Hey.

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Yes...I see

Whats next?

*Last edited by Agnishom (2012-12-09 03:55:38)*

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 94,015

Hi;

Did you check out the thread anonimnystefy mentioned?

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

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Yes but I dont understand the problems over there

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 94,015

Can you say what is the part you do not understand?

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

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Okay but tomorrow Gotta sleep! Good Night!

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 94,015

Hi;

Okay, see you tomorrow.

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

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**Sarah Rebekah 16****Member**- Registered: 2012-11-12
- Posts: 73

sup guys?

Love is Golden.

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,882

hi Sarah,

How are you today?

Bob

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

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