Difference betw mathematical and physics definition of fields

[zerok]

Hi,
I'm a computer science guy. I was searching the definition of 'Field' in the context of 'Markov Random Field' for my project work. I found mathematical ( http://en.wikipedia.org/wiki/Field_theory_(mathematics ) ) and physics ( http://en.wikipedia.org/wiki/Field_(physics ) )definition of field. Though I am certain that physics definition is the correct one in the context of Markov Random Field. But somehow I find something related between these two definitions by searching over internet. I'm confused. Kindly clarify these things to me.

Thanks,

 

[granpa]

links are broken.

 

[zerok]

links are broken.

Add ')' at the end of links.

 

[granpa]

you add them. click on the 'edit' button below your post.

 

[Defennder]

I haven't heard of the Markov random field, but looking at Wikipedia's article on this I believe that the word "field" is used here in neither of the contexts you have mentioned. See here:
http://en.wikipedia.org/wiki/Conditional_random_field

 

[HallsofIvy]

There is no relation between the algebraic meaning of "field" (the first Wikipedia citation) and the physics meaning of "field". The "vector field" is an abstraction of the physics meaning of "field".

But neither of those has anything to do with "Markov random field". I googled on that and got
http://en.wikipedia.org/wiki/Markov_network