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Old 2010-06-24, 13:47   #694
blob100
 
Jan 2010

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Quote:
Originally Posted by R.D. Silverman View Post
I will also add:

You wrote "The number of terms for P is equivallent to x^k's.
To open F(P)+F(P-1)+...+F(1)?"

The first sentence is total gibberish. What does "equivalent to x^k's"
mean? It is nonsense.

And what does the word "open" mean?? And "To open F(P)+F(P-1)+...+F(1)?" is not even a sentence.
This is another horrible mistake.
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Old 2010-06-24, 14:53   #695
R.D. Silverman
 
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Quote:
Originally Posted by blob100 View Post
This is another horrible mistake.
Proofread before you post!
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Old 2010-06-24, 15:03   #696
blob100
 
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Quote:
Originally Posted by R.D. Silverman View Post
Proofread before you post!
OK.
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Old 2010-06-24, 15:07   #697
blob100
 
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I'll try again writing the formula:
The number of terms taken from x^k's coefficient is:
F(P)+F(P-1)+...+1.
Where P=n-k.
F(N)=N(N+1)/2, for any given natural N.


BTW: by "open" I meant, to show F(P)+F(P-1)+...+1 as a phrase concerning P's value (not a sum of functions).

Last fiddled with by blob100 on 2010-06-24 at 15:09
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Old 2010-06-24, 15:17   #698
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Quote:
Originally Posted by blob100 View Post
I'll try again writing the formula:
The number of terms taken from x^k's coefficient is:
F(P)+F(P-1)+...+1.
Where P=n-k.
F(N)=N(N+1)/2, for any given natural N.
To the other readers of this thread:

What am I doing wrong? Am I not getting through? I already
said that this formula is wrong, explained why it could not be correct,
and gave a strong hint to the correct answer.

Yet Tomer insists on repeating the same stuff. Just as he kept
using the answer from THIS problem in problem 1 when I told him
not to do so.
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Old 2010-06-24, 15:57   #699
blob100
 
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Quote:
Originally Posted by R.D. Silverman View Post
To the other readers of this thread:

What am I doing wrong? Am I not getting through? I already
said that this formula is wrong, explained why it could not be correct,
and gave a strong hint to the correct answer.

Yet Tomer insists on repeating the same stuff. Just as he kept
using the answer from THIS problem in problem 1 when I told him
not to do so.
I just touhgt you didn't understand what I formulated.
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Old 2010-06-24, 15:59   #700
blob100
 
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"I will give a hint: The number of different products of roots taken r
at a time from a set of size n is a well known COMBINATORIAL object. "

What you mean is that there is a well known formula for this question?

Last fiddled with by blob100 on 2010-06-24 at 16:04
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Old 2010-06-24, 16:13   #701
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The formula that gives the number of combinations of n things taken k at a time, nCk, is well known.

It, also, is not difficult to derive.

Perhaps it would be useful for you to back up and go through the exercise of providing a formal proof of that formula.

While you are at it, you might learn to use simple formatting in your postings to display exponents and subscripts. Using them will make it easier to read your equations.
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Old 2010-06-24, 16:44   #702
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Quote:
Originally Posted by blob100 View Post
"I will give a hint: The number of different products of roots taken r
at a time from a set of size n is a well known COMBINATORIAL object. "

What you mean is that there is a well known formula for this question?
It sounds like you are not familiar with the combination formula. Try this link: http://mathworld.wolfram.com/Combination.html. While you're at it, look up some of the following terms: "binomial coefficient", "binomial theorem" and "Pascal's Triangle".

After you've had a chance to think about this information, see if you can apply it to this problem.
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Old 2010-06-24, 16:53   #703
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Quote:
Originally Posted by R.D. Silverman View Post
To the other readers of this thread:

What am I doing wrong? Am I not getting through? I already
said that this formula is wrong, explained why it could not be correct,
and gave a strong hint to the correct answer.

Yet Tomer insists on repeating the same stuff. Just as he kept
using the answer from THIS problem in problem 1 when I told him
not to do so.
Yes, it's true that he's doing these things. But he is lacking some specific knowledge that he needs in order to understand your hints. Without that knowledge, which he doesn't know he lacks, he can't do what you're asking so he flails about.

The solution isn't to yell at him; that hasn't been particularly successful so far. It's to direct him to the specific information that will help. This I have done.

(And FWIW, I agree: there's a question of basic mathematical maturity here. Tomer should have been exposed to the combination formula long ago or, put another way, given that he hasn't been so exposed it would seem that he is not ready for some of the more advanced topics to which he aspires. He needs time and instruction to gain that maturity.)
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Old 2010-06-24, 17:30   #704
R.D. Silverman
 
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Quote:
Originally Posted by jyb View Post
Yes, it's true that he's doing these things. But he is lacking some specific knowledge that he needs in order to understand your hints. Without that knowledge, which he doesn't know he lacks, he can't do what you're asking so he flails about.

The solution isn't to yell at him; that hasn't been particularly successful so far. It's to direct him to the specific information that will help. This I have done.

(And FWIW, I agree: there's a question of basic mathematical maturity here. Tomer should have been exposed to the combination formula long ago or, put another way, given that he hasn't been so exposed it would seem that he is not ready for some of the more advanced topics to which he aspires. He needs time and instruction to gain that maturity.)
He had stated earlier that he was familiar with the binomial theorem........
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