Definitions for equation
ɪˈkweɪ ʒən, -ʃənequa·tion

Princeton's WordNetRate this definition:2.0 / 1 vote

1. equationnoun

   a mathematical statement that two expressions are equal

2. equality, equivalence, equation, parnoun

   a state of being essentially equal or equivalent; equally balanced

   "on a par with the best"

3. equation, equatingnoun

   the act of regarding as equal

WiktionaryRate this definition:4.0 / 1 vote

1. equationnoun

   An assertion that two expressions are equal, expressed by writing the two expressions separated by an equal sign; from which one is to determine a particular quantity.

2. equationnoun

   A small correction to observed values to remove the effects of systematic errors in an observation.

3. Etymology: From aequatio.

Samuel Johnson's DictionaryRate this definition:0.0 / 0 votes

1. Equation

   In algebra. Is an expression of the same quantity in two dissimilar terms, but of equal value; as 3 s.=36 d. Dict.

2. Equation

   In astronomy. The difference between the time marked out by the sun’s apparent motion, and the time that is measured by its real or middle motion; according to which clocks and watches ought to be adjusted. Dict.

3. Equationnoun

   The investigation of a mean proportion collected from the extremities of excess and defect, to be applied to the whole.

   Etymology: æquare, Latin.

   We are to find out the extremities on both sides, and from and between them the middle daily motions of the sun along the Ecliptick; and to frame tables of equation of natural days, to be applied to the mean motion by addition or substraction, as the case shall require. William Holder, on Time.

   By an argument taken from the equations of the times of the eclipses of Jupiter’s satellites, it seems that light is propagated in time, spending in its passage from the sun to us about seven minutes of time. Isaac Newton, Opt.

WikipediaRate this definition:0.0 / 0 votes

1. Equation

   In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =. The word equation and its cognates in other languages may have subtly different meanings; for example, in French an équation is defined as containing one or more variables, while in English, any well-formed formula consisting of two expressions related with an equals sign is an equation.Solving an equation containing variables consists of determining which values of the variables make the equality true. The variables for which the equation has to be solved are also called unknowns, and the values of the unknowns that satisfy the equality are called solutions of the equation. There are two kinds of equations: identities and conditional equations. An identity is true for all values of the variables. A conditional equation is only true for particular values of the variables.An equation is written as two expressions, connected by an equals sign ("="). The expressions on the two sides of the equals sign are called the "left-hand side" and "right-hand side" of the equation. Very often the right-hand side of an equation is assumed to be zero. Assuming this does not reduce the generality, as this can be realized by subtracting the right-hand side from both sides. The most common type of equation is a polynomial equation (commonly called also an algebraic equation) in which the two sides are polynomials. The sides of a polynomial equation contain one or more terms. For example, the equation A x 2 + B x + C − y = 0 {\displaystyle Ax^{2}+Bx+C-y=0} has left-hand side A x 2 + B x + C − y {\displaystyle Ax^{2}+Bx+C-y} , which has four terms, and right-hand side 0 {\displaystyle 0} , consisting of just one term. The names of the variables suggest that x and y are unknowns, and that A, B, and C are parameters, but this is normally fixed by the context (in some contexts, y may be a parameter, or A, B, and C may be ordinary variables). An equation is analogous to a scale into which weights are placed. When equal weights of something (e.g., grain) are placed into the two pans, the two weights cause the scale to be in balance and are said to be equal. If a quantity of grain is removed from one pan of the balance, an equal amount of grain must be removed from the other pan to keep the scale in balance. More generally, an equation remains in balance if the same operation is performed on its both sides. In Cartesian geometry, equations are used to describe geometric figures. As the equations that are considered, such as implicit equations or parametric equations, have infinitely many solutions, the objective is now different: instead of giving the solutions explicitly or counting them, which is impossible, one uses equations for studying properties of figures. This is the starting idea of algebraic geometry, an important area of mathematics. Algebra studies two main families of equations: polynomial equations and, among them, the special case of linear equations. When there is only one variable, polynomial equations have the form P(x) = 0, where P is a polynomial, and linear equations have the form ax + b = 0, where a and b are parameters. To solve equations from either family, one uses algorithmic or geometric techniques that originate from linear algebra or mathematical analysis. Algebra also studies Diophantine equations where the coefficients and solutions are integers. The techniques used are different and come from number theory. These equations are difficult in general; one often searches just to find the existence or absence of a solution, and, if they exist, to count the number of solutions. Differential equations are equations that involve one or more functions and their derivatives. They are solved by finding an expression for the function that does not involve derivatives. Differential equations are used to model processes that involve the rates of change of the variable, and are used in areas such as physics, chemistry, biology, and economics. The "=" symbol, which appears in every equation, was invented in 1557 by Robert Recorde, who considered that nothing could be more equal than parallel straight lines with the same length.

ChatGPTRate this definition:5.0 / 1 vote

1. equation

   An equation is a mathematical statement that asserts the equality of two expressions. It contains one or more unknowns and may be a simple algebraic equation like 2x+5=0, a polynomial equation, or a complex differential equation. It indicates that two quantities are equal or the same. The equals sign (=) connects the two expressions that are claimed to have the same value.

Webster DictionaryRate this definition:2.0 / 1 vote

1. Equationnoun

   a making equal; equal division; equality; equilibrium

2. Equationnoun

   an expression of the condition of equality between two algebraic quantities or sets of quantities, the sign = being placed between them; as, a binomial equation; a quadratic equation; an algebraic equation; a transcendental equation; an exponential equation; a logarithmic equation; a differential equation, etc

3. Equationnoun

   a quantity to be applied in computing the mean place or other element of a celestial body; that is, any one of the several quantities to be added to, or taken from, its position as calculated on the hypothesis of a mean uniform motion, in order to find its true position as resulting from its actual and unequal motion

4. Etymology: [L. aequatio an equalizing: cf. F. quation equation. See Equate.]

WikidataRate this definition:5.0 / 1 vote

1. Equation

   In mathematics, an equation is a formula of the form A = B, where A and B are expressions containing one or several variables called unknowns, and "=" denotes the equality binary relation. Although written in the form of proposition, an equation is not a statement, but a problem consisting in finding the values, called solutions, that, when substituted to the unknowns, yields equal values of expressions A and B. For example, 2 is the unique solution of the equation x + 2 = 4, in which the unknown is x. Historically, equations arose from the mathematical discipline of algebra, but later become ubiquitous. An equality may not be confused with identities which are presented with the same notation but have a different semantic: for example 2 + 2 = 4 and x + y = y + x are identities in arithmetic, and do not constitute any values-finding problem, even if include variables. Equation may also refer to a relation between some variables that is expressed by the equality of some expressions of their values. For example the equation of the unit circle is x² + y² = 1, which means that a point belongs to the circle if and only if its coordinates are related by this equation. Most physical laws are expressed by equations. One of the most popular ones is Einstein's equation E = mc².

Suggested ResourcesRate this definition:0.0 / 0 votes

1. equation

   Song lyrics by equation -- Explore a large variety of song lyrics performed by equation on the Lyrics.com website.

Matched Categories

1. • Equalization
   • Mathematical Statement
   • Mathematics

British National Corpus

1. Spoken Corpus Frequency

   Rank popularity for the word 'equation' in Spoken Corpus Frequency: #3904

2. Written Corpus Frequency

   Rank popularity for the word 'equation' in Written Corpus Frequency: #3711

3. Nouns Frequency

   Rank popularity for the word 'equation' in Nouns Frequency: #1237

How to pronounce equation?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

   Australian

   Veena

   Indian

   Priya

   Indian

   Neerja

   Indian

   Zira

   US English

   Oliver

   British

   Wendy

   British

   Fred

   US English

   Tessa

   South African

How to say equation in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of equation in Chaldean Numerology is: 3

2. Pythagorean Numerology

   The numerical value of equation in Pythagorean Numerology is: 3

Examples of equation in a Sentence

1. Baba Faiz:

   Solving an equation of math gives me the same pleasure as a passionate kiss does.

2. William Schaffner:

   What the vaccine does is shift the equation in our favor.

3. Pamela Anderson:

   We have a very healthy, simple wonderful life without all the bells and whistles. We both have our children to try to squeeze into the equation, but he is amazing. He is a good guy, really a good guy.

4. Lindsey Bell:

   If you look beneath the surface, you see a tale of two consumers, those in the hardest-hit industries who have lost their jobs, those are the folks who are really struggling. The other side of the equation is the people who can work from home. Our lives haven't been completely disrupted.

5. Petr Pavel:

   The only country which may change the equation is China.

Popularity rank by frequency of use

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=equation
2. ^ Wiktionary
   https://en.wiktionary.org/wiki/Equation
3. ^ Samuel Johnson's Dictionary
   https://johnsonsdictionaryonline.com/views/search.php?term=equation
4. ^ Wikipedia
   https://en.wikipedia.org/wiki/Equation
5. ^ ChatGPT
   https://chat.openai.com
6. ^ Webster Dictionary
   https://www.merriam-webster.com/dictionary/equation
7. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=equation