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#226 2013-03-21 02:26:45
- bobbym
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Re: Expectation
For me it always was one of the best.
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#227 2013-04-01 23:53:13
- anonimnystefy
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Re: Expectation
Is there a pattern in these?
Last edited by anonimnystefy (2013-04-01 23:53:28)
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
#228 2013-04-02 00:07:12
- bobbym
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Re: Expectation
Up - down or left - right?
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#229 2013-04-02 00:08:15
- anonimnystefy
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Re: Expectation
Both.
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
#230 2013-04-02 00:09:05
- bobbym
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Re: Expectation
How about the first column, can you supply more?
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#231 2013-04-02 00:10:21
- anonimnystefy
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Re: Expectation
11, 12, 13, 14, 15...
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
#232 2013-04-02 00:12:00
- bobbym
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Re: Expectation
Hi;
Yes, the more the merrier!
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#233 2013-04-02 00:14:54
- anonimnystefy
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Re: Expectation
Well, the first column is obvious. Those are the natural numbers...
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
#234 2013-04-02 00:28:13
- bobbym
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Re: Expectation
Yikes! That is a good one. The second column.
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#235 2013-04-02 00:30:51
- anonimnystefy
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Re: Expectation
You can generate all the numbers you need:
Code:
f[bins_, k_] := Sum[i*(i - k)!/(bins^(i - 1))*Binomial[i - 1, k - 1]*Coefficient[(Sum[x^j/j!, {j, 0, k - 1}])^(bins - 1), x, i - k], {i,k, bins*(k - 1) + 1}]
MatrixForm[Table[Table[f[i, j], {i, 1, 10}], {j, 1, 10}]]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
#236 2013-04-02 00:36:25
- bobbym
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Re: Expectation
Hmmm, that looks like M code to me.
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#237 2013-04-02 00:45:02
- anonimnystefy
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Re: Expectation
It is M code.
And the function f is the function which calculates the expected value for k balls to appear in a bin, where the number of bins is represented bt the number "bins".
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
#238 2013-04-02 00:51:48
- bobbym
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Re: Expectation
Are you aware of its awesome firepower?
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#239 2013-04-02 01:03:10
- anonimnystefy
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Re: Expectation
Like what?
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
#240 2013-04-02 01:04:33
- bobbym
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Re: Expectation
FindSequenceFunction for one thing...
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#241 2013-04-02 01:08:37
- anonimnystefy
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Re: Expectation
I got this for 2 bins:
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
#242 2013-04-02 01:16:01
- bobbym
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Re: Expectation
You mean:
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#243 2013-04-02 01:16:51
- anonimnystefy
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Re: Expectation
Well, it spit out the above for me...
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
#244 2013-04-02 01:18:14
- bobbym
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Re: Expectation
If it spits at you then you have to beat it into submission until it gives that answer.
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#245 2013-04-02 01:19:45
- anonimnystefy
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Re: Expectation
How did you get that answer?
I entered:
Code:
FindSequenceFunction[Table[f[2, j], {j, 1, 100}]]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
#246 2013-04-02 01:23:37
- bobbym
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Re: Expectation
Underneath any answer should be the command bar.
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#247 2013-04-02 01:27:38
- anonimnystefy
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Re: Expectation
There is. I have plot, evaluate at a point, differentiate and integrate...
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
#248 2013-04-02 01:32:04
- bobbym
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Re: Expectation
You have more there than I do. But it changes, trying to figure what you want.
After you compute your answer, type in a new cell
FullSimplify[%]
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#249 2013-04-02 01:34:22
- anonimnystefy
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Re: Expectation
It's still the same...
What did you enter, exactly?
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
#250 2013-04-02 01:37:08
- bobbym
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Re: Expectation
First take the MatrixForm wrapper off the original code and change it to this:
ans=Table[Table[f[i,j],{i,2,2}],{j,1,15}]
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.