Formula (mathematics)
In mathematics, a formula is an entity constructed using the symbols and formation rules of a given logical language.
Example
For example, determining the volume of a sphere requires a significant amount of integral calculus or its geometrical analogue, the method of exhaustion
Having done this once in terms of some parameter (the radius for example), mathematicians have produced a formula to describe the volume.
This particular formula is:
V = 4 / 3 π r3
Having obtained this result, and knowing the radius of any sphere in question, we can quickly and easily determine its volume. Note that the volume V and the radius r are expressed as single letters instead of words or phrases. This convention, while less important in a relatively simple formula, means that mathematicians can more quickly manipulate larger and more complex formulas.
Mathematical formulas are often algebraic, closed form, and/or analytical.
