What is the difference between scalar and vector functions?

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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
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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