Physics/Thermodynamics: Continuum & Point Function
I got stuck when I read this in book: "The continuum idealization allows us to treat properties as point functions and to assume the properties vary continually in space with no jump discontinuities".
What I failed to understand is:-
a) what is a point function? &
b) meaning of 'vary continually' in this context.
I found some websites that should help you:
About continuum idealization:
Go to Sections 1.2.1 and 1.2.6
Section Concept of a continuum
Start the Power Point document and go to page 13
About point function:
Review the entire webpage. I believe their definition of State function and our Point function are equivalent.
Review the first section.
Review section 4.5
About 'vary continually':
The key point is to "assume the properties ... [have] no jump discontinuities". The properties, such as pressure or temperature, vary continually or possibly remain constant.
I hope this helps,