>>12844500>>12844494I forgot to mention but there is also a scalar field, which is comprised of numbers at each point, rather than vector.
For example, suppose there exists a function which measures scalar force of gravity at each point, like f(x, y)=(G*(m*m_u)/r^2), where m_u is an unit of mass and m_u=1.
And additionally suppose there is an object at (0,0) with its m=2/G.
then f(0,1) would be 2, f(1,1) = 1, f(-1,0)=2. graphically speaking, a set of f(x) at each point would look like as follows.
121
2?2
121
This set of f(x,y) at each point is a scalar field, conveniently notated as
