# Formula

In mathematics, a formula is an entity constructed using the symbols and formation rules of a given logical language.
In science, a specific formula is a concise way of expressing information symbolically as in a mathematical or chemical formula.
In modern chemistry, a chemical formula is a way of expressing information about the proportions of atoms that constitute a particular chemical compound, using a single line of chemical element symbols, numbers, and sometimes other symbols, such as parentheses, brackets, and plus (+) and minus (–) signs.
The plural of formula can be spelled either formulae (like the original Latin) for mathematical or scientific senses, or formulas for more general senses. The informal use of the term formula in science refers to the general construct of a relationship between given quantities.

For example, determining the volume of a sphere requires a significant amount of integral calculus; but, having done this once, mathematicians can produce a formula to describe the volume in terms of some other parameter (the radius for example).
This particular formula is:

Having obtained this result, and knowing the radius of the sphere in question, we can quickly and easily determine its volume. Note that the quantities V, the volume, and r the radius are expressed as single letters. This convention, while less important in a relatively simple formula, means that mathematicians can more quickly manipulate larger and more complex formulae.

Expressions are distinct from formulae in that they cannot contain an equals sign; whereas formulae are comparable to sentences, expressions are more like phrases.

In a general context, formulae are applied to provide a mathematical solution for real world problems. Some may be general: F = ma, which is one expression of Newton's second law, is applicable to a wide range of physical situations. Other formulae may be specially created to solve a particular problem; for example, using the equation of a sine curve to model the movement of the tides in a bay. In all cases however, formulae form the basis for all calculations.

### Other articles related to "formula, formulas":

Object Theory - Expansion of The Notion of Formal System - Well-formed Objects
... answer, whether or not the object is well-formed (in mathematics a wff abbreviates well-formed formula) ... the use of "trees" to determine whether or not a logic formula (in particular a string of symbols with parentheses) is well formed ... Alonzo Church 1934 describes the construction of "formulas" (again sequences of symbols) as written in his λ-calculus by use of a recursive description of how to start a formula and then build on the ...
Formulae With Prescribed Units
... A formula expresses a relationship between physical quantities ... A necessary condition for a formula to be valid is that all terms have the same dimension, meaning every term in the formula could be potentially converted to ... This requires that the universal formula be converted to a formula that is intended to be used only with prescribed units, meaning the numerical quantity is implicitly assumed to be ...
1991 Australian Grand Prix
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1991 Australian Grand Prix - Report - Background
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### Famous quotes containing the word formula:

So, if we must give a general formula applicable to all kinds of soul, we must describe it as the first actuality [entelechy] of a natural organized body.
Aristotle (384–323 B.C.)

The formula for achieving a successful relationship is simple: you should treat all disasters as if they were trivialities but never treat a triviality as if it were a disaster.
Quentin Crisp (b. 1908)

“It’s hard enough to adjust [to the lack of control] in the beginning,” says a corporate vice president and single mother. “But then you realize that everything keeps changing, so you never regain control. I was just learning to take care of the belly-button stump, when it fell off. I had just learned to make formula really efficiently, when Sarah stopped using it.”
Anne C. Weisberg (20th century)