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Binomial Meaning: Definition, Examples, and Translations

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binomial

[baɪˈnəʊ.mi.əl ]

Definitions

Context #1 | Noun

mathematics term

A binomial is a mathematical expression that consists of two terms, typically connected by a plus or minus sign. The most common form of a binomial is 'ax + b', where 'a' and 'b' are coefficients and 'x' is a variable. Binomials can be used in algebraic equations, polynomial expressions, and are fundamental in the binomial theorem. The expansion of binomials can yield a series of terms that represent various combinations and permutations.

Synonyms

duomial, two-part expression.

Examples of usage

  • The expression x + 2 is a binomial.
  • In probability, we often deal with binomial distributions.
  • The binomial theorem provides a formula for expanding powers of binomials.
Context #2 | Adjective

statistical term

When used as an adjective, 'binomial' describes a situation involving two possible outcomes, commonly termed as success or failure. This term is frequently used in probability and statistics to characterize variables that can take one of two distinct states. In a binomial experiment, each trial results in one of these two outcomes, maintaining a constant probability across trials. This concept is critical in areas such as risk assessment and quality control.

Synonyms

binary, dual.

Examples of usage

  • The coin flip is a classic example of a binomial experiment.
  • In the study, they used a binomial approach to measure success rates.
  • The results followed a binomial distribution.

Translations

To see the translation, please select a language from the options available.

Interesting Facts

Mathematics

  • Binomials are often used in algebra and can be expanded using the Binomial Theorem, which explains how to raise them to a power.
  • Examples include 'a + b' and 'x - y', highlighting their use in equations and polynomial expressions.
  • They play a key role in probability and statistics, especially when calculating distributions.

Pop Culture

  • The popular board game 'Monopoly' features a binomial concept in its game mechanics, involving choices and outcomes with two options.
  • In music, many song titles use binomial structures, such as 'Love and War' or 'Rock and Roll', to create catchy, memorable phrases.

Science

  • In biology, binomial nomenclature refers to the two-part naming system for species, like 'Homo sapiens' for humans.
  • The first part identifies the genus, while the second species determines the specific organism.

History

  • The formal naming system for species was introduced by Carl Linnaeus in the 18th century, emphasizing consistency in scientific communication.
  • This two-part naming practice reflects a shift towards more systematic classification in biology.

Origin of 'binomial'

Main points about word origin

  • The term comes from Latin 'bini', meaning 'two by two', and 'nomial', which relates to names.
  • In mathematical language, 'binomial' describes expressions made up of two distinct parts.

The term 'binomial' originates from the Latin words 'bi-' meaning 'two' and 'nomial', which derives from 'nomius', a variant of 'nomen', meaning 'name'. The concept has its roots in ancient mathematics, where expressions involving two components were already evident. It gained significant prominence during the development of algebraic notation in the 16th century and further advanced with the advent of calculus. Mathematicians like Isaac Newton brought binomials to the forefront with the introduction of the binomial theorem, which provided a systematic way to expand expressions raised to a power. This historical context illustrates how 'binomial' encapsulates both a mathematical concept and its broader implications in various scientific and statistical fields.

Word Frequency Rank

With rank #17,036, this word belongs to specialized vocabulary. While not common in everyday speech, it enriches your ability to express complex ideas.