binomial
Adjective:
- Having or characterized by two names, especially in scientific classification: Used to describe a naming system that uses two terms, typically the genus and species in biology.
- Consisting of or relating to two algebraic terms: Used in mathematics to describe an expression containing two terms.
Noun:
- A mathematical expression with two terms: An algebraic expression that is a sum or difference of exactly two monomials.
Adjective:
- The scientist used the binomial system to classify the newly discovered insect.
(a + b)is a simple binomial expression.
Noun:
- In algebra, students learn to expand binomials like
(x + 3)^2. - The square of a binomial always produces a trinomial.
Binomial theorem: A fundamental theorem in algebra that describes the algebraic expansion of powers of a binomial.
- The binomial theorem provides a formula for expanding expressions like
(x + y)^n.
Binomial distribution: A common probability distribution in statistics that summarizes the likelihood of a value taking one of two independent states.
- The probability of getting a certain number of heads in coin flips follows a binomial distribution.
Binomial nomenclature (n): The formal system of naming species with two-part names (genus and species).
- Carl Linnaeus established binomial nomenclature for organisms.
Trinomial (adj/n): Consisting of or relating to three names or terms. (The logical extension beyond 'binomial').
- Two-term (adj): Consisting of two parts or terms.
- Dual (adj): Comprising two parts, elements, or aspects. (More general, not specific to math or taxonomy).
Binomial coefficient: A coefficient in the binomial theorem, often written as
n choose k.- The binomial coefficients form the pattern known as Pascal's Triangle.
Binomial expansion: The result of expanding an expression that is raised to a power.
- Finding the binomial expansion of
(1 + x)^5is a standard exercise.
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having or characterized by two names, especially those of genus and species in taxonomies
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binomial nomenclature of bacteria
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of or relating to or consisting of two terms
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binomial expression
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(mathematics) a quantity expressed as a sum or difference of two terms; a polynomial with two terms
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