Equation vs. Polynomial

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Equationnoun

The act or process of equating two or more things, or the state of those things being equal (that is, identical).

Equationnoun

(mathematics) 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.

Equationnoun

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

Equationnoun

A making equal; equal division; equality; equilibrium.

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.

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.

Equationnoun

a mathematical statement that two expressions are equal

Equationnoun

a state of being essentially equal or equivalent; equally balanced;

Equationnoun

the act of regarding as equal

Equation

In mathematics, an equation is a statement that asserts the equality of two expressions, which are connected by 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 equality is an equation.Solving an equation containing variables consists of determining which values of the variables make the equality true.

Polynomialnoun

An expression consisting of a sum of a finite number of terms, each term being the product of a constant coefficient and one or more variables raised to a non-negative integer power, such as a_n x^n + a_{n-1}x^{n-1} + ... + a_0 x^0.

Polynomialnoun

(taxonomy) A taxonomic designation (such as of a subspecies) consisting of more than two terms.

Polynomialadjective

(algebra) Able to be described or limited by a polynomial.

Polynomialadjective

(taxonomy) of a polynomial name or entity

Polynomialnoun

An expression composed of two or more terms, connected by the signs plus or minus; as, a2 - 2ab + b2.

Polynomialadjective

Containing many names or terms; multinominal; as, the polynomial theorem.

Polynomialadjective

Consisting of two or more words; having names consisting of two or more words; as, a polynomial name; polynomial nomenclature.

Polynomialnoun

a mathematical expression that is the sum of a number of terms

Polynomialadjective

having the character of a polynomial;

Polynomial

In mathematics, a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. An example of a polynomial of a single indeterminate x is x2 − 4x + 7.

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