# Dictionary Definition

formula

### Noun

1 a group of symbols that make a mathematical statement [syn: expression]
2 directions for making something [syn: recipe]
3 a conventionalized statement expressing some fundamental principle
4 a representation of a substance using symbols for its constituent elements [syn: chemical formula]
5 something regarded as a normative example; "the convention of not naming the main character"; "violence is the rule not the exception"; "his formula for impressing visitors" [syn: convention, normal, pattern, rule]
6 a liquid food for infants
7 (mathematics) a standard procedure for solving a class of mathematical problems; "he determined the upper bound with Descartes' rule of signs"; "he gave us a general formula for attacking polynomials" [syn: rule] [also: formulae (pl)]

# User Contributed Dictionary

## English

From formula.

### Noun

formula (plural formulae in scientific use, formulas in informal use)
1. Any mathematical rule expressed symbolically.
x = \frac is the formula for finding the roots of the quadratic equation y = ax2 + bx + c.
2. A symbolic expression of the structure of a compound.
H2O is the formula for water (Dihydrogen monoxide)
3. A plan of action intended to solve a problem.
4. A formulation; a prescription; a mixture or solution made in a prescribed manner; the identity and quanties of ingredients of such a mixture.
The formula of the rocket fuel has not been revealed.

#### Synonyms

• (in mathematics): mathematical formula
• (in chemistry): chemical formula

in mathematics
in chemistry

## Bosnian

### Noun

formula (p: formule)
1. formula
2. rule

## Crimean Tatar

### Etymology

formula - small form < forma - form.

formula

### References

Useinov-Mireev 2002}}

# Extensive Definition

In mathematics and in the sciences, a formula (plural: formulae, formulæ or formulas) is a concise way of expressing information symbolically (as in a mathematical or chemical formula), or a general relationship between quantities. One of many famous formulae is Albert Einstein's E = mc² (see special relativity).

## In mathematics

In mathematics, a formula is a key to solve an equation with variables. For example, the problem of determining the volume of a sphere is one that requires a significant amount of integral calculus to solve. However, 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:
V =\frac \pi r^3.
(The \pi in this formula is the quantity pi). Having determined this result, and having a sphere of which we know the radius we can quickly and easily determine the 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.
In general mathematical use there is no essential difference in meaning with the term "expression", although the word "formula" tends to be reserved for an expression that "can stand on its own", that has a meaning outside of the immediate context in which it appears and a significance that can be grasped intuitively.
The majority of all mathematical study revolves around formulae in many different forms from quadratic equations to the equations of motion (mainly used in mechanical mathematics and physics). In a general context, formulae are applied to provide a mathematical solution for real world problems. Some may be general formulae designed to explain a phenomenon experienced everywhere - an example is force = mass × acceleration. It is a formula which applies anywhere in the universe. 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.

## In computing

In computing, a formula typically describes a calculation, such as addition, to be performed on two or more variables. A formula is often implicitly provided in the form of a computer instruction such as
Total fruit = number of Apples + number of Oranges.
In computer spreadsheet terminology, a formula is usually a text string containing cell references, e.g.
=A1+A2
where both A1 and A2 describe "cells" (column A, row 1 or 2) within the spreadsheet. The result appears within the cell containing the formula itself (possibly A3, at end of values in column A). The = sign precedes the right hand side of the formula indicating the cell contains a formula rather than data. The left hand side of the formula is, by convention, omitted because the result is always stored in the cell itself and would be redundant.

formula in Danish: Matematisk formel
formula in German: Formel (Mathematik)
formula in Esperanto: Formulo
formula in Irish: Foirmle
formula in Hindi: सूत्र
formula in Italian: Formula
formula in Hebrew: נוסחה
formula in Hungarian: Képlet
formula in Macedonian: Формула
formula in Malayalam: സൂത്രവാക്യം
formula in Japanese: 公式
formula in Portuguese: Fórmula
formula in Russian: Математическая формула
formula in Simple English: Formula
formula in Slovenian: Formula
formula in Serbo-Croatian: Formula
formula in Sundanese: Rumus
formula in Swedish: Formel
formula in Thai: สูตร
formula in Turkish: Formül
formula in Ukrainian: Формула
formula in Yiddish: פארמולע
formula in Chinese: 数学公式

# Synonyms, Antonyms and Related Words

MO, Procrustean law, a priori truth, act, addend, antilogarithm, argument, axiom, base, bill, binomial, blueprint, brocard, bylaw, canon, ceremonial, ceremony, characteristic, code, coefficient, combination, commandment, complement, congruence, constant, convention, cosine, cotangent, criterion, cube, decimal, decree, denominator, derivative, determinant, dictate, dictation, dictum, difference, differential, directions, discriminate, dividend, divisor, duty, e, edict, enactment, equation, exponent, exponential, factor, form, form of worship, formality, formulary, function, general principle, golden rule, guideline, guiding principle, holy rite, i, imperative, increment, index, institution, instructions, integral, jus, law, law of nature, legislation, lex, liturgy, matrix, maxim, means, measure, method, minuend, mitzvah, mode of worship, modus operandi, moral, multiple, multiplier, mystery, norm, norma, numerator, observance, office, order of nature, order of worship, ordinance, ordonnance, parameter, pattern, permutation, pi, polynomial, postulate, power, practice, prescribed form, prescript, prescription, principium, principle, procedure, proposition, quaternion, quotient, radical, radix, receipt, recipe, reciprocal, regulation, remainder, rite, ritual, ritual observance, rituality, root, rubric, rule, ruling, sacrament, sacramental, secant, self-evident truth, service, set form, settled principle, sine, solemnity, standard, standing order, statute, submultiple, subtrahend, tangent, technique, tenet, tensor, theorem, truism, truth, universal law, universal truth, variable, vector, versine, way, working principle, working rule