Difference betw mathematical and physics definition of fields

AI Thread Summary
The discussion centers on the definitions of "field" in mathematics and physics, particularly in relation to Markov Random Fields. The original poster expresses confusion over the applicability of these definitions to their project. A participant clarifies that the term "field" in Markov Random Fields does not align with either the mathematical or physics definitions. They suggest that the concept of a "vector field" is more relevant to physics but still distinct from Markov Random Fields. Overall, the conversation highlights the need for clarity on terminology across different disciplines.
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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,
 
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links are broken.
 
granpa said:
links are broken.

Add ')' at the end of links.
 
you add them. click on the 'edit' button below your post.
 
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
 

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