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- Monomial abstract "In mathematics, a monomial is, roughly speaking, a polynomial which has only one term. Two different definitions of a monomial may be encountered:For the first definition, a monomial is a product of powers of variables with nonnegative integer exponents, or, in other words, a product of variables, possibly with repetitions. The constant 1 is a monomial, being equal to the empty product and x0 for any variable x. If only a single variable x is considered, this means that a monomial is either 1 or a power xn of x, with n a positive integer. If several variables are considered, say, , , , then each can be given an exponent, so that any monomial is of the form with non-negative integers (taking note that any exponent 0 makes the corresponding factor equal to 1).For the second definition, a monomial is a monomial in the first sense multiplied by a nonzero constant, called the coefficient of the monomial. A monomial in the first sense is also a monomial in the second sense, because the multiplication by 1 is allowed. For example, in this interpretation and are monomials (in the second example, the variables are , , , and the coefficient is a complex number).In the context of Laurent polynomials and Laurent series, the exponents of a monomial may be negative, and in the context of Puiseux series, the exponents may be rational numbers.Since the word "polynomial" comes from "poly-" plus the Greek word "νομός" (nomós, meaning part, portion), a monomial should theoretically be called a "mononomial". "Monomial" is a syncope of "mononomial".".
- Monomial wikiPageExternalLink Monomial.html.
- Monomial wikiPageID "357416".
- Monomial wikiPageRevisionID "604279449".
- Monomial hasPhotoCollection Monomial.
- Monomial subject Category:Algebra.
- Monomial subject Category:Homogeneous_polynomials.
- Monomial type Abstraction100002137.
- Monomial type Function113783816.
- Monomial type HomogeneousPolynomial105862268.
- Monomial type HomogeneousPolynomials.
- Monomial type MathematicalRelation113783581.
- Monomial type Polynomial105861855.
- Monomial type Relation100031921.
- Monomial comment "In mathematics, a monomial is, roughly speaking, a polynomial which has only one term. Two different definitions of a monomial may be encountered:For the first definition, a monomial is a product of powers of variables with nonnegative integer exponents, or, in other words, a product of variables, possibly with repetitions. The constant 1 is a monomial, being equal to the empty product and x0 for any variable x.".
- Monomial label "Eenterm".
- Monomial label "Jednomian".
- Monomial label "Monom".
- Monomial label "Monomial".
- Monomial label "Monomio".
- Monomial label "Monomio".
- Monomial label "Monôme (mathématiques)".
- Monomial label "Monômio".
- Monomial label "Одночлен".
- Monomial label "أحادية حدود".
- Monomial sameAs Monom.
- Monomial sameAs Μονώνυμο.
- Monomial sameAs Monomio.
- Monomial sameAs Monomio.
- Monomial sameAs Monôme_(mathématiques).
- Monomial sameAs Monomio.
- Monomial sameAs 단항식.
- Monomial sameAs Eenterm.
- Monomial sameAs Jednomian.
- Monomial sameAs Monômio.
- Monomial sameAs m.01_18c.
- Monomial sameAs Q243723.
- Monomial sameAs Q243723.
- Monomial sameAs Monomial.
- Monomial wasDerivedFrom Monomial?oldid=604279449.
- Monomial isPrimaryTopicOf Monomial.