Search results
Results from the WOW.Com Content Network
A binomial number is an integer obtained by evaluating a homogeneous polynomial containing two terms, also called a binomial. The form of this binomial is x n ± y n {\displaystyle x^{n}\!\pm y^{n}} , with x > y {\displaystyle x>y} and n > 1 {\displaystyle n>1} .
Such a name is called a binomial name (which may be shortened to just "binomial"), a binomen, binominal name, or a scientific name; more informally it is also historically called a Latin name. In the ICZN, the system is also called binominal nomenclature, [1] "binomi'N'al" with an "N" before the "al", which is not a typographic error, meaning ...
The simplest example given by Thimbleby of a possible problem when using an immediate-execution calculator is 4 × (−5). As a written formula the value of this is −20 because the minus sign is intended to indicate a negative number, rather than a subtraction, and this is the way that it would be interpreted by a formula calculator.
The value of the binomial nomenclature system derives primarily from its economy, its widespread use, and the uniqueness and stability of names that the Codes of Zoological and Botanical, Bacterial and Viral Nomenclature provide: Economy. Compared to the polynomial system which it replaced, a binomial name is shorter and easier to remember. [4]
binomial authority; binomial nomenclature (also "binominal") trinomial nomenclature (also "trinominal") hybrid name (botany): either two parent binomials, separated by a "×" (q.v.) or a given binomial, with or without an intercalated "×" chresonym published usage of a name heterochresonym; orthochresonym; taxon (plural "taxa")
The word polynomial joins two diverse roots: the Greek poly, meaning "many", and the Latin nomen, or "name". It was derived from the term binomial by replacing the Latin root bi-with the Greek poly-. That is, it means a sum of many terms (many monomials). The word polynomial was first used in the 17th century. [6]
The solution to this particular problem is given by the binomial coefficient (+), which is the number of subsets of size k − 1 that can be formed from a set of size n + k − 1. If, for example, there are two balls and three bins, then the number of ways of placing the balls is (+) = =. The table shows the six possible ways of distributing ...
The binomial approximation for the square root, + + /, can be applied for the following expression, + where and are real but .. The mathematical form for the binomial approximation can be recovered by factoring out the large term and recalling that a square root is the same as a power of one half.