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In science , a formula is a concise way of expressing information symbolically as in a mathematical or chemical formula . The informal use of the term formula in science refers to the general construct of a relationship between given quantities . The plural of formula can be spelled either as formulas or formulae (from the original Latin).
In mathematics , a formula is an entity constructed using the symbols and formation rules of a given logical language . For example, determining the volume of a sphere requires a significant amount of integral calculus or its geometrical analogue, the method of exhaustion ; but, 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:
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 .