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":
... team two races earlier, Roberto Moreno returned to Formula One to take Morbidelli’s place at Minardi ... Piquet's contract with the team, and Australia would be his last Formula One race ... Bertrand Gachot returned to Formula One after completing his jail sentence in Britain, replacing Éric Bernard at Larrousse, who had been injured at the ...
... 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 contain the identical unit (or product of identical units) ... 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 multiplying a ...
... The 1992 South African Grand Prix was a Formula One motor race held at Kyalami on 1 March 1992 ... It was the first round of the 1992 Formula One season ... Formula One returned to post-apartheid South Africa which had not hosted a Grand Prix since the controversial 1985 event, held during Premier P.W ...
... The 1991 Australian Grand Prix was a Formula One motor race held on 3 November 1991 at the Adelaide Street Circuit ... It was the 16th and final race of the 1991 Formula One season ... It holds the record for being the shortest Formula One race ever held ...
... not the object is well-formed (in mathematics a wff abbreviates well-formed formula) ... Enderton describes 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 ...
Famous quotes containing the word formula:
“But suppose, asks the student of the professor, we follow all your structural rules for writing, what about that something else that brings the book alive? What is the formula for that? The formula for that is not included in the curriculum.”
—Fannie Hurst (18891968)
“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 (384323 B.C.)
“In the most desirable conditions, the child learns to manage anxiety by being exposed to just the right amounts of it, not much more and not much less. This optimal amount of anxiety varies with the childs age and temperament. It may also vary with cultural values.... There is no mathematical formula for calculating exact amounts of optimal anxiety. This is why child rearing is an art and not a science.”
—Alicia F. Lieberman (20th century)