Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫  π  -¹ ² ³ °

You are not logged in.

#326 2012-11-02 12:40:28

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,030

Re: Generating Functions

Why?

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.

Offline

#327 2012-11-02 12:42:09

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,522

Re: Generating Functions

Who was Doc Thorne and what did he do?

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Online

#328 2012-11-02 12:52:47

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,030

Re: Generating Functions

I have no idea. The bame just sounds familiar.

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.

Offline

#329 2012-11-02 12:54:36

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,522

Re: Generating Functions

He was a fictitious engineer who taught at Stanford. Famous for his "Thorny Problems."

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Online

#330 2012-11-02 13:12:11

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,030

Re: Generating Functions

Thorny 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.

Offline

#331 2012-11-02 13:15:24

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,522

Re: Generating Functions

Yep, He would put the answers for the final on the ceiling and challenge his student  to retrieve them with nothing but a bag of licorice and some toothpicks.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Online

#332 2012-11-02 13:21:16

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,030

Re: Generating Functions

Cool! What does that have to do with the problem you were working on?

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.

Offline

#333 2012-11-02 13:41:39

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,522

Re: Generating Functions

I was not working on it, you are.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Online

#334 2012-11-02 13:43:13

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,030

Re: Generating Functions

Nope. You were working on it when I asked for a harder GF problem. Read the last 5 pages of this thread.

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.

Offline

#335 2012-11-02 13:44:13

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,522

Re: Generating Functions

You asked for a harder problem and I gave you one read the first page.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Online

#336 2012-11-02 13:48:28

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,030

Re: Generating Functions

Either way, what does the problem have to do with Thorne?

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.

Offline

#337 2012-11-02 13:49:14

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,522

Re: Generating Functions

That is how he trained his future engineers with tough problems that he knew they probably could not solve.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Online

#338 2012-11-02 14:17:42

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,030

Re: Generating Functions

So basically, he trained them RIPOSTP.

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.

Offline

#339 2012-11-02 14:28:13

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,522

Re: Generating Functions

Absolutely not! He wanted them to think on their own, research only to find a new way.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Online

#340 2012-11-02 14:36:39

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,030

Re: Generating Functions

That seems to be a better solution but only if it works.

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.

Offline

#341 2012-11-02 14:39:54

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,522

Re: Generating Functions

Eventually you will get there.

Dinner time!

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Online

#342 2013-09-22 03:07:15

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,030

Re: Generating Functions

bobbym wrote:

1000 die are thrown. What is the probability that the sum is not a prime?

Is the probability 0.8685354281058543893953912666?

Last edited by anonimnystefy (2013-09-22 03:15:02)

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.

Offline

#343 2013-09-22 04:55:35

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,522

Re: Generating Functions

Hi;

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Online

#344 2013-09-22 05:28:31

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,030

Re: Generating Functions

Hi bobbym

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.

Offline

#345 2013-09-22 05:31:04

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,522

Re: Generating Functions

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Online

#346 2013-09-22 05:34:11

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,030

Re: Generating Functions

Hi

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.

Offline

#347 2013-09-22 05:35:26

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,522

Re: Generating Functions

Hi;

Let's try something that is much easier, throw 2 of them and let's see if the answers are coinciding.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Online

#348 2013-09-22 05:47:14

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,030

Re: Generating Functions

Hi bobbym

Sorry, my answer is 0.868810916716694558279912. Forgot to shift. It is still not the same as yours.

5/12 for 2 dice.

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.

Offline

#349 2013-09-22 05:49:34

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,522

Re: Generating Functions

Hi;

I am getting 7 / 12.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Online

#350 2013-09-22 05:50:58

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,030

Re: Generating Functions

Yes, that's right. Forgot to subtract it from 1. I am getting 7/12 for the probability of a non-prime sum of 2 dice.

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.

Offline