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#151 2012-05-03 01:24:47
- anonimnystefy
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Re: Generating Functions
Naturals.
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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#152 2012-05-03 01:47:02
- bobbym
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Re: Generating Functions
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#153 2012-05-03 01:49:58
- anonimnystefy
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Re: Generating Functions
How did you get that?
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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#154 2012-05-03 01:52:51
- bobbym
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Re: Generating Functions
It is in any combinatoric book. Partitions are huge since Euler's time.
http://en.wikipedia.org/wiki/Partition_ … _theory%29
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#155 2012-05-03 03:57:06
- anonimnystefy
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Re: Generating Functions
Ok,so the other book was right. I just couldn't understand rhe meaning behind it.
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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#156 2012-05-03 05:36:10
- bobbym
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Re: Generating Functions
Both are good.
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#157 2012-05-03 06:20:23
- anonimnystefy
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Re: Generating Functions
Which both? You don't know which the other book is.
Have you got any of those fruit problems?
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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#158 2012-05-03 06:23:26
- bobbym
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Re: Generating Functions
What fruit problems? What other book?
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#159 2012-05-03 06:35:43
- anonimnystefy
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Re: Generating Functions
Something whit choosing apples,pears,oranges,etc. so that some conditions are satisfied.
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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#160 2012-05-03 06:40:25
- bobbym
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Re: Generating Functions
That will be a very hard one to solve.
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#161 2012-05-03 06:50:30
- anonimnystefy
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Re: Generating Functions
Do you have any problems of that kind?
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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#162 2012-05-03 06:51:01
- bobbym
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Re: Generating Functions
Dozens but none of them are as tough as that one.
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#163 2012-05-03 06:55:53
- anonimnystefy
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Re: Generating Functions
No. That is an outline of the type of problems. Can you post some of those?
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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#164 2012-05-03 06:57:09
- bobbym
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Re: Generating Functions
Oh, I thought that the some conditions were not to be given to you.
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#165 2012-05-03 06:58:36
- anonimnystefy
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Re: Generating Functions
No,no. They are given. So could you post some of those problems?
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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#166 2012-05-03 06:59:26
- bobbym
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Re: Generating Functions
How about you post it since you are looking at it.
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#167 2012-05-03 07:06:56
- anonimnystefy
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Re: Generating Functions
Here it is,but it is the only one I have:
In how many ways can you fill a bag with n fruits,if you have only apples,pears,bananas and oranges and the following must be true:
1)The number of apples is even;
2)The number of pears is divisible by 5;
3)There are at most 4 oranges;
4)There is at most one banana.
I know how to do this one,so I would like some more complicated conditions.
Last edited by anonimnystefy (2012-05-03 07:07:45)
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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#168 2012-05-03 07:08:41
- bobbym
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Re: Generating Functions
You know how? I am from Missouri!
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#169 2012-05-03 07:09:20
- anonimnystefy
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Re: Generating Functions
Aren't you from Nevada?
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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#170 2012-05-03 07:13:01
- bobbym
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Re: Generating Functions
Me Pappy is from Alabama which is darn close to Missouri. Also I drove through that state once and had a darn good T-Bone steak.
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#171 2012-05-03 07:13:50
- anonimnystefy
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Re: Generating Functions
Wait,are you questioning my ability to solve this?
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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#172 2012-05-03 07:14:51
- bobbym
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Re: Generating Functions
Missouri is called the "Show Me State," so...
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#173 2012-05-03 07:19:38
- anonimnystefy
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Re: Generating Functions
Aham... The first GF has only even powers so it's 1/(1-x**2).
The second one has only powers that are divisible by 5 so it's 1/(1-x**5).
The third one has only powers from 0 through 4 i.e. 1+x+x**2+x**3+x**4.
The last,but not least,the GF that has only powers 0 and 1 i.e. 1+x.
We multiply them out,se that the coeff with x**n is n+1 so that is our answer.
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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#174 2012-05-03 07:24:19
- bobbym
- Administrator
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Re: Generating Functions
The last two are correct but put them in closed form.
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#175 2012-05-03 07:28:00
- anonimnystefy
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Re: Generating Functions
Oh,yeah. (1-x**5)/(1-x) and 1+x.
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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón