1 Mathematics An algebraic expression of the sum or the difference of two terms.
- Al-Khwarizmi's concept of algebra can now be grasped with greater precision: it concerns the theory of linear and quadratic equations with a single unknown, and the elementary arithmetic of relative binomials and trinomials.…
- It says ‘factor as the product of linear binomials or write prime.’
- Foil, First-Outer-Inner-Last, refers to the distributive property for multiplying two binomials.
2A two-part name, especially the Latin name of a species of living organism (consisting of the genus followed by the specific epithet).
- Then came the great reform of Carolus Linnaeus and his system of Latin binomials, identifying each organism by genus and species.
- Genes and proteins are named with the two first letters representing the initial letters of the Latin binomial followed by the original symbol.
- The authors were inconsistent in providing the binomial following common names of organisms, including crops, within the text.
3 Grammar A noun phrase with two heads joined by a conjunction, in which the order is relatively fixed (as in knife and fork).
- Why stop at calling "salt and pepper" a compound, rather than a binomial?
- Based on an analysis of 692 binomial tokens from online corpora, we show that a number of semantic, metrical, and frequency constraints contribute significantly to ordering preferences, overshadowing the phonological factors that have traditionally been considered important.
- The analysis of formulaic German binomial expressions of the form N und N reveals the following characteristics.
1 Mathematics Consisting of two terms.
- Cotes discovered an important theorem on the nth roots of unity, anticipated the method of least squares and discovered a method of integrating rational fractions with binomial denominators.
- These expansions of the binomial equation describe all the possible outcomes from the experiment above.
- There is an infinite number of solutions for the binomial equation (in real numbers).
1.1Relating to a binomial or to the binomial theorem.
- One of the results on which al-Karaji uses this form of induction comes from his work on the binomial theorem, the binomial coefficients and the Pascal triangle.
- He improved methods for finding square and cube roots, and extended the method to the numerical solution of polynomial equations computing powers of sums using binomial coefficients constructed with Pascal's triangle.
- For example in Li's method of writing the sum of the pth powers of the first n natural numbers as sums of binomial coefficients is given.
2Having or using two names, used especially of the Latin name of a species of living organism.
- Gmelin attributed to Chemnitz's species the binomial name Arca pectinata.
- Despite the fact that traces are not organisms the Linnaean binomial scheme is used to name them, but only to the level of ichnogenus and ichnospecies.
- In the Linnaean system of classification, the generic status of a species is part of its binomial name, and it is therefore important that the classification at the level of genus is consistent at least in related groups of organisms.
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