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#251 2013-04-02 01:38:54

anonimnystefy
Real Member

Online

Re: Expectation

Okay, what now?


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
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
 

#252 2013-04-02 01:47:47

bobbym
Administrator

Online

Re: Expectation

FindSequenceFunction[Flatten[ans],n]

Make sure in settings that it can not contact home. If you are using a firewall and you should be block it. This is a safety precaution. Also do not register the product or ever use it to go online. That means no contact with Alpha. Even though they want you to.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#253 2013-04-02 01:49:25

anonimnystefy
Real Member

Online

Re: Expectation

It is still showing the same thing!


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
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
 

#254 2013-04-02 01:51:42

bobbym
Administrator

Online

Re: Expectation

Yes, now go FullSimplify[%]


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#255 2013-04-02 01:55:54

anonimnystefy
Real Member

Online

Re: Expectation

Nevermind. I used FullSimplify[Expand[%]] and it worked. Let me try for 3 bins.

It won't return any function...


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
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
 

#256 2013-04-02 02:00:43

bobbym
Administrator

Online

Re: Expectation

The Table command has been set to return a column vector, the second column.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#257 2013-04-02 02:04:21

anonimnystefy
Real Member

Online

Re: Expectation

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
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
 

#258 2013-04-02 02:06:32

bobbym
Administrator

Online

Re: Expectation

ans=Table[Table[f[i,j],{i,2,2}],{j,1,15}]

See that 2,2? Change that to 3,3 and you will get the 3rd column.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#259 2013-04-02 02:12:38

anonimnystefy
Real Member

Online

Re: Expectation

I did. The FindSequenceFunction doesn't return a function.


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
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
 

#260 2013-04-02 02:15:54

bobbym
Administrator

Online

Re: Expectation

What does it spit out?


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#261 2013-04-02 02:17:25

anonimnystefy
Real Member

Online

Re: Expectation


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
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
 

#262 2013-04-02 02:19:16

bobbym
Administrator

Online

Re: Expectation

Whenever M spits out the command just like you entered it that means it did not succeed. You will probably need more terms.

But before we do that let's return to 2,2. There was more surprises there.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#263 2013-04-02 02:28:01

anonimnystefy
Real Member

Online

Re: Expectation

What surprises?


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
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
 

#264 2013-04-02 02:29:19

bobbym
Administrator

Online

Re: Expectation

ans=Table[Table[f[i,j],{i,2,2}],{j,1,15}];

FindGeneratingFunction[Flatten[ans],x]//FullSimplify


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#265 2013-04-02 02:32:11

anonimnystefy
Real Member

Online

Re: Expectation

Last edited by anonimnystefy (2013-04-02 02:32:40)


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
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
 

#266 2013-04-02 02:32:45

bobbym
Administrator

Online

Re: Expectation

Amazing yes?


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#267 2013-04-02 02:34:07

anonimnystefy
Real Member

Online

Re: Expectation

It is. Does it work for 3,3?


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
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
 

#268 2013-04-02 02:37:47

bobbym
Administrator

Online

Re: Expectation

Your use of Table is not correct, change it to look like this:

ans=Table[f[i,j],{i,3,3},{j,1,15}]


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#269 2013-04-02 02:40:53

anonimnystefy
Real Member

Online

Re: Expectation

Either way, it is not returning a GF...


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
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
 

#270 2013-04-02 02:42:49

bobbym
Administrator

Online

Re: Expectation

Sometimes it is unable to answer the question and we have to try other ways.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#271 2013-04-02 03:06:03

anonimnystefy
Real Member

Online

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
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
 

#272 2013-04-02 03:07:51

bobbym
Administrator

Online

Re: Expectation

All the work I have done is basically to coax M to give a little bit more. You can pick any problem and see some of it.

Numerical math rules!


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#273 2013-04-02 03:12:58

anonimnystefy
Real Member

Online

Re: Expectation

What would you do on this particular problem for 3,3?


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
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
 

#274 2013-04-02 03:15:52

bobbym
Administrator

Online

Re: Expectation

It is unrealistic to expect M or anyone else to get a closed form for each of those columns. A closed form does not always exist.

The first thing I would do would be to treat the numerator and denominator separately. Then we can call forth the "Oracle at Delph!!!"


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#275 2013-04-02 03:24:10

anonimnystefy
Real Member

Online

Re: Expectation

That would be the OEIS?


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
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
 

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