What is the difference between scalar and vector functions?

AI Thread Summary
Scalar functions output a single value, representing a scalar field, while vector functions produce multiple values, forming a vector field. Thermodynamic potentials, such as Gibbs energy, are examples of scalar functions. In contrast, enthalpy, expressed as u = h + pv, illustrates a relationship involving scalar and vector quantities. Understanding these distinctions is crucial in fields like physics and engineering. Clarifying these concepts aids in grasping complex thermodynamic principles.
obing007
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Hi all :)

can anybody help me out in understanding scalar function

and vector function?

the difference between them
 
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A function gives a scalar field if the output of the function is a scalar, or a single number. A function gives a vector field if the output of the function is a vector.
 
that means thermodynamic potentials like gibbs energy = scalar function
 
further if u=h+pv that s enthalpy

how could it be sol to scalar function? can you elaborate its please
 

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