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#276 2015-12-27 18:32:40

Agnishom
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From: Riemann Sphere
Registered: 2011-01-29
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Re: Purpose of life????

Let's say, during this step a free radical bumps into an ethene. What do you think happens, then?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

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#277 2015-12-27 18:35:22

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 109,423

Re: Purpose of life????

b happens.


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.

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#278 2015-12-27 18:39:39

Agnishom
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From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,719
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Re: Purpose of life????

Yes, and what is the new number of ethenes  and free radicals?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

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#279 2015-12-27 18:42:50

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,423

Re: Purpose of life????

The reaction occurs in discrete time steps, during each of which a random molecule attacks another random molecule and the result of the attack is given by the following rules:

a) Ethene attacks ethene: Nothing happens. The reaction proceeds to the next step.

b) A free radical attacks an ethene: The ethene is removed from the system. The chain length of the free radical increases by 1. The reaction proceeds to the next step.

c) A free radical of length m attacks a free radical of length n: Both radicals are removed. A new kind of molecule, called the "polymer" is formed. The polymer is of chain length m + n. The reaction proceeds to the next step.

d) A polymer attacks another polymer: Nothing happens. The reaction proceeds to the next step.

One less ethene and no change in the number of free radicals.


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.

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#280 2015-12-27 18:46:28

Agnishom
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From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,719
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Re: Purpose of life????

Correct.

Do you now see why the probabilities will change?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

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#281 2015-12-27 18:49:41

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,423

Re: Purpose of life????

Yes, sometimes the reactants will be plentiful and sometimes there will be none.

What happens when there are a lot of each?


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.

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#282 2015-12-27 18:56:05

Agnishom
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From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,719
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Re: Purpose of life????

Yes, sometimes the reactants will be plentiful and sometimes there will be none.

Correct. Let me clarify this:

Let's say there are 2 free radicals and 10 ethene molecules in the system in step i. Any two of those things react at random.

What is the probability that during this step, a will happen? (10/12)*(9/11)
What is the probability that during this step, b will happen? (2/12)*(10/11)
What is the probability that during this step, c will happen? (2/12)*(1/11)
What is the probability that during this step, d will happen? 0

Let's further assume that b happens. Now the system has 2 free radicals and 9 ethene molecules in step i+1

What is the probability that during this step, a will happen? (9/11)*(8/10)
What is the probability that during this step, b will happen? (2/11)*(9/10)
What is the probability that during this step, c will happen? (2/11)*(1/10)
What is the probability that during this step, d will happen? 0

---

Do you see how the probability changes?

Even if there are a lot of the molecules, we will assume that the spherical cow model holds.


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

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#283 2015-12-27 18:58:43

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,423

Re: Purpose of life????

Possibly that will be enough.


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.

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#284 2015-12-27 19:01:41

Agnishom
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From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,719
Website

Re: Purpose of life????

Yes.

Should I start by simulating the reaction according to the spherical cow model?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

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#285 2015-12-27 19:07:22

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,423

Re: Purpose of life????

I do not know the answer for spherical or ellipsoidical cows.

The changing probability is a bit like a problem I solved here just recently.


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.

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#286 2015-12-27 19:09:08

Agnishom
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From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,719
Website

Re: Purpose of life????

Long/Hardwinded probability..?

Do you think the spherical cow model is a bad place to start?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

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#287 2015-12-27 19:11:26

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,423

Re: Purpose of life????

Long/Hardwinded probability..?

I think that was it. Only EVW has a full solution, mine is an ansatz.

Do you think the spherical cow model is a bad place to start?

For you it is fine.


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.

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#288 2015-12-27 19:15:27

Agnishom
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From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,719
Website

Re: Purpose of life????

I think this is more complex.

Do you think this will agree with experimental data?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

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#289 2015-12-27 19:19:42

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,423

Re: Purpose of life????

That is not possible to know.


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.

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#290 2015-12-27 19:31:50

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,719
Website

Re: Purpose of life????

I need a break. Talk to you later


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

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#291 2015-12-27 19:34:01

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,423

Re: Purpose of life????

Okay, see you later.


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.

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#292 2016-03-16 05:26:03

Primenumbers
Member
Registered: 2013-01-22
Posts: 128

Re: Purpose of life????

I think the meaning of life is to survive and have children. Taking my theory from Darwin- "survival of the fittest". It's good to be alive right? Right. So the only reason you are alive is because your ancestors survived and had children. (If they hadn't done that you wouldn't be here). Therefore for your future offsprings life you must survive and have children. Therefore the purpose of life in general is to survive and have children.


"Time not important. Only life important." - The Fifth Element 1997

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#293 2016-03-16 15:26:10

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,423

Re: Purpose of life????

I did not have any kids...


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.

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#294 2016-03-16 21:18:14

Primenumbers
Member
Registered: 2013-01-22
Posts: 128

Re: Purpose of life????

Neither did I. I think enjoying life is No. 1 priority, otherwise there's no point having more of a bad thing. So maybe, the purpose of life is to enjoy it so that it's better to be alive than not.


"Time not important. Only life important." - The Fifth Element 1997

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#295 2016-03-17 02:22:57

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,423

Re: Purpose of life????

Life is such a unique experience it is hard not to get lots of enjoyment out of it. Unfortunately, some of those experiences are painful.


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.

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#296 2016-03-17 02:27:22

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,719
Website

Re: Purpose of life????

Primenumbers wrote:

I think the meaning of life is to survive and have children. .

I am sure all the retrovirus will agree


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

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#297 2016-03-17 02:50:57

Primenumbers
Member
Registered: 2013-01-22
Posts: 128

Re: Purpose of life????

I am quite lucky I am on sickness benefit so I don't have to work. I get quite a lot of enjoyment out of life really.


"Time not important. Only life important." - The Fifth Element 1997

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