P({m})

wildrabbitt · 2015-08-26, 20:29

Can anyone tell me what this : P({m}), means in a probabilistic number theory context?

R.D. Silverman · 2015-08-26, 20:49

Quote:

Originally Posted by wildrabbitt

Can anyone tell me what this : P({m}), means in a probabilistic number theory context?

Insufficient information.

wildrabbitt · 2015-08-26, 21:12

The page I've read it on is here :

http://http://www.mersenneforum.org/...1&d=1440623531

R.D. Silverman · 2015-08-26, 23:28

Quote:

Originally Posted by wildrabbitt

The page I've read it on is here :

http://http://www.mersenneforum.org/...1&d=1440623531

I've read the page. {m} is not defined. I'm not sure what is meant. Might the notation have been
defined earlier in the book? Could it be the ideal generated by m? (in Z+)?

CRGreathouse · 2015-08-27, 02:09

{m} is the set consisting of a single element, m. P is a function which takes a set and returns a number from 0 to 1. In this case the page is proving that no function P exists which fulfills certain criteria.

LaurV · 2015-08-27, 02:15

That is standard definition in probabilities theory, and it means "the probability of the single (elementary) event m". If that is a book about introduction to probabilities, it should indeed be defined earlier in the book. See for example here, (first apparition in page 30).

wildrabbitt · 2015-08-27, 05:59

Thanks guys.

2015-08-26, 20:29	#1
wildrabbitt Jul 2014 3×149 Posts	P({m}) Can anyone tell me what this : P({m}), means in a probabilistic number theory context?

2015-08-26, 21:12	#3
wildrabbitt Jul 2014 3·149 Posts	The page I've read it on is here : http://http://www.mersenneforum.org/...1&d=1440623531 Attached Thumbnails

2015-08-27, 02:09	#5
CRGreathouse Aug 2006 175B₁₆ Posts	{m} is the set consisting of a single element, m. P is a function which takes a set and returns a number from 0 to 1. In this case the page is proving that no function P exists which fulfills certain criteria.

2015-08-27, 02:15	#6
LaurV Romulan Interpreter Jun 2011 Thailand 7×1,373 Posts	That is standard definition in probabilities theory, and it means "the probability of the single (elementary) event m". If that is a book about introduction to probabilities, it should indeed be defined earlier in the book. See for example here, (first apparition in page 30).

2015-08-27, 05:59	#7
wildrabbitt Jul 2014 447₁₀ Posts	Thanks guys.