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Binomial: meaning, definitions and examples

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binomial

 

[ baษชหˆnษ™สŠ.mi.ษ™l ]

Noun / Adjective
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

Translations of the word "binomial" in other languages:

๐Ÿ‡ต๐Ÿ‡น binomial

๐Ÿ‡ฎ๐Ÿ‡ณ เคฆเฅเคตเคฟเค˜เคพเคคเฅ€เคฏ

๐Ÿ‡ฉ๐Ÿ‡ช binomial

๐Ÿ‡ฎ๐Ÿ‡ฉ binomial

๐Ÿ‡บ๐Ÿ‡ฆ ะฑั–ะฝะพะผั–ะฐะปัŒะฝะธะน

๐Ÿ‡ต๐Ÿ‡ฑ dwumianowy

๐Ÿ‡ฏ๐Ÿ‡ต ไบŒ้ …ๅผ

๐Ÿ‡ซ๐Ÿ‡ท binomial

๐Ÿ‡ช๐Ÿ‡ธ binomial

๐Ÿ‡น๐Ÿ‡ท binom

๐Ÿ‡ฐ๐Ÿ‡ท ์ดํ•ญ

๐Ÿ‡ธ๐Ÿ‡ฆ ุซู†ุงุฆูŠ

๐Ÿ‡จ๐Ÿ‡ฟ binomickรฝ

๐Ÿ‡ธ๐Ÿ‡ฐ binomickรฝ

๐Ÿ‡จ๐Ÿ‡ณ ไบŒ้กนๅผ

๐Ÿ‡ธ๐Ÿ‡ฎ binoomski

๐Ÿ‡ฎ๐Ÿ‡ธ tvรญhliรฐungur

๐Ÿ‡ฐ๐Ÿ‡ฟ ะตะบัะฟะพะฝะตะฝั‚ะฐ

๐Ÿ‡ฌ๐Ÿ‡ช แƒ‘แƒ˜แƒœแƒแƒ›แƒ˜แƒฃแƒ แƒ˜

๐Ÿ‡ฆ๐Ÿ‡ฟ binom

๐Ÿ‡ฒ๐Ÿ‡ฝ binomial

Etymology

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.