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** = *m***a**, 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.

Read more about Formula: In Computing, Formulae With Prescribed Units

### Famous quotes containing the word formula:

“Hidden away amongst Aschenbach’s writing was a passage directly asserting that nearly all the great things that exist owe their existence to a defiant despite: it is despite grief and anguish, despite poverty, loneliness, bodily weakness, vice and passion and a thousand inhibitions, that they have come into being at all. But this was more than an observation, it was an experience, it was positively the *formula* of his life and his fame, the key to his work.”

—Thomas Mann (18751955)

“Beauty, like all other qualities presented to human experience, is relative; and the definition of it becomes unmeaning and useless in proportion to its abstractness. To define beauty not in the most abstract, but in the most concrete terms possible, not to find a universal *formula* for it, but the *formula* which expresses most adequately this or that special manifestation of it, is the aim of the true student of aesthetics.”

—Walter Pater (1839–1894)

“For the myth is the foundation of life; it is the timeless schema, the pious *formula* into which life flows when it reproduces its traits out of the unconscious.”

—Thomas Mann (1875–1955)