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Topics referred to by the same term
Binomial identity may refer to: Binomial theorem Binomial type Binomial (disambiguation) This disambiguation page lists articles associated with the title
Binomial_identity
Family of polynomials
mathematics, the Gaussian binomial coefficients (also called Gaussian coefficients, Gaussian numbers, Gaussian polynomials, or q-binomial coefficients) are q-analogs
Gaussian_binomial_coefficient
Number of subsets of a given size
mathematics, the binomial coefficients are the positive integers that occur as coefficients in the binomial theorem. Commonly, a binomial coefficient is
Binomial_coefficient
Mathematical theorem on convolved binomial coefficients
In combinatorics, Vandermonde's identity (or Vandermonde's convolution) is the following identity for binomial coefficients: ( m + n r ) = ∑ k = 0 r (
Vandermonde's_identity
Algebraic expansion of powers of a binomial
2\cdot 1}}.} This formula is also referred to as the binomial formula or the binomial identity. Using summation notation, it can be written more concisely
Binomial_theorem
mathematical identities, that is, identically true relations holding in mathematics. Binet-cauchy identity Binomial inverse theorem Binomial identity Brahmagupta–Fibonacci
List of mathematical identities
List_of_mathematical_identities
Theorem of matrix ranks
In mathematics, specifically linear algebra, the Woodbury matrix identity – named after Max A. Woodbury – says that the inverse of a rank-k correction
Woodbury_matrix_identity
On finite sums of products of three binomial coefficients, and a hypergeometric sum
finite sums of products of three binomial coefficients, and some evaluating a hypergeometric sum. These identities famously follow from the MacMahon
Dixon's_identity
Type of polynomial sequence
polynomial equals its degree, is said to be of binomial type if it satisfies the sequence of identities p n ( x + y ) = ∑ k = 0 n ( n k ) p k ( x ) p n
Binomial_type
Transformation of a mathematical sequence
In combinatorics, the binomial transform is a sequence transformation (i.e., a transform of a sequence) that computes its forward differences. It is closely
Binomial_transform
Identity involving binomial coefficients, first established by Zhi-Wei Sun in 2002
In combinatorics, Sun's curious identity is the following identity involving binomial coefficients, first established by Zhi-Wei Sun in 2002: ( x + m
Sun's_curious_identity
Fictional book mentioned in stories of Sherlock Holmes
strange binomial identities of Professor Moriarty" (PDF). Fibonacci Quarterly. 10 (4): 381–392, 402. Anderson, Poul. A Treatise on the Binomial Theorem
A Treatise on the Binomial Theorem
A_Treatise_on_the_Binomial_Theorem
Mathematical functions
Sheffer sequence of binomial type, the Mittag-Leffler polynomials M n ( x ) {\displaystyle M_{n}(x)} also satisfy the binomial identity M n ( x + y ) = ∑
Mittag-Leffler_polynomials
same as λ-rings for which all Adams operations are the identity. Elliott, Jesse (2006), "Binomial rings, integer-valued polynomials, and λ-rings", Journal
Binomial_ring
Result in enumerative combinatorics and linear algebra
Combinatory analysis (1916). It is often used to derive binomial identities, most notably Dixon's identity. In the monograph, MacMahon found so many applications
MacMahon's_master_theorem
Mathematical series
In mathematics, the binomial series is a generalization of the binomial formula to cases where the exponent is not a positive integer: where α {\displaystyle
Binomial_series
Combinatorial identity about binomial coefficients
Pascal's rule (or Pascal's formula) is a combinatorial identity about binomial coefficients. The binomial coefficients are the numbers that appear in Pascal's
Pascal's_rule
filters) Binomial series Binomial theorem Binomial transform Binomial type Carlson's theorem Catalan number Fuss–Catalan number Central binomial coefficient
List of factorial and binomial topics
List_of_factorial_and_binomial_topics
Class of statistical models
).} The identity link g(p) = p is also sometimes used for binomial data to yield a linear probability model. However, the identity link can predict
Generalized_linear_model
using De Moivre's formula, Euler's formula and the binomial theorem. The product-to-sum identities or prosthaphaeresis formulae can be proven by expanding
List of trigonometric identities
List_of_trigonometric_identities
Identity in mathematical combinatorics
q-Vandermonde identity is a q-analogue of the Chu–Vandermonde identity. Using standard notation for q-binomial coefficients, the identity states that (
Q-Vandermonde_identity
Branch of discrete mathematics
astronomer Rabbi Abraham ibn Ezra (c. 1140) established the symmetry of binomial coefficients, while a closed formula was obtained later by the talmudist
Combinatorics
Recurrence relations of binomial coefficients in Pascal's triangle
In combinatorics, the hockey-stick identity, Christmas stocking identity, boomerang identity, Fermat's identity or Chu's Theorem, states that if n ≥ r
Hockey-stick_identity
Polynomials in combinatorial mathematics
a_{n-k+1})x^{k}.} Then this polynomial sequence is of binomial type, i.e. it satisfies the binomial identity p n ( x + y ) = ∑ k = 0 n ( n k ) p k ( x ) p n
Bell_polynomials
Stochastic process in probability theory
_{n}(t)=E(X_{t}^{n})} , is a polynomial function of t; these functions satisfy a binomial identity: μ n ( t + s ) = ∑ k = 0 n ( n k ) μ k ( t ) μ n − k ( s ) . {\displaystyle
Lévy_process
Mathematical identities
The following are important identities involving derivatives and integrals in vector calculus. For a function f ( x , y , z ) {\displaystyle f(x,y,z)}
Vector_calculus_identities
Mathematical identity involving sums of binomial coefficients
Abel's binomial theorem, named after Niels Henrik Abel, is a mathematical identity involving sums of binomial coefficients. It states the following: ∑
Abel's_binomial_theorem
Vector calculus formulas relating the bulk with the boundary of a region
In mathematics, Green's identities are a set of three identities in vector calculus relating the bulk with the boundary of a region on which differential
Green's_identities
case that P {\displaystyle P} is a chain, this recovers the negative binomial identity. There are similar results for the chromatic polynomial and Ehrhart
Order_polynomial
Generalization of the binomial theorem to other polynomials
of the terms in that sum. It is the generalization of the binomial theorem from binomials to multinomials. For any positive integer m and any non-negative
Multinomial_theorem
Addition of several numbers or other values
arithmetico–geometric sequence) There exist very many summation identities involving binomial coefficients (a whole chapter of Concrete Mathematics is devoted
Summation
Triangular array of the binomial coefficients
Bernoulli's triangle Binomial expansion Cellular automata Euler triangle Floyd's triangle Gaussian binomial coefficient Hockey-stick identity Leibniz harmonic
Pascal's_triangle
Equalities involving sums over the coefficients occurring in hypergeometric series
hypergeometric identities are equalities involving sums over hypergeometric terms, i.e. the coefficients occurring in hypergeometric series. These identities occur
Hypergeometric_identity
Mathematical fallacy
freshman exponentiation, the child's binomial theorem, (rarely) the schoolboy binomial theorem, or the Frobenius identity is the generally-false equation (x + y)n = xn + yn
Freshman's_dream
Generalization of the product rule in calculus
ISBN 9780387950006. Spivey, Michael Zachary (2019). The Art of Proving Binomial Identities. Boca Raton: CRC Press, Taylor & Francis Group. ISBN 9781351215817
General_Leibniz_rule
Relation between sine and cosine
binomial theorem. Consequently, sin 2 x + cos 2 x = 1 , {\displaystyle \sin ^{2}x+\cos ^{2}x=1,} which is the Pythagorean trigonometric identity.
Pythagorean trigonometric identity
Pythagorean_trigonometric_identity
Mathematical function
special function that is closely related to the gamma function and to binomial coefficients. It is defined by the integral B ( z 1 , z 2 ) = ∫ 0 1 t z
Beta_function
Discrete probability distribution
Poisson compounded with Log(p)-distributed random variables has a negative binomial distribution. In other words, if N is a random variable with a Poisson
Logarithmic_distribution
Discrete probability distribution
binomial identity, ( n k ) = ( − 1 ) k ( k − n − 1 k ) , {\displaystyle {{n \choose k}=(-1)^{k}{k-n-1 \choose k}},} and the Chu–Vandermonde identity,
Negative hypergeometric distribution
Negative_hypergeometric_distribution
loricatobaicalensis is sometimes cited as the longest binomial name—it is a kind of amphipod. However, this name, proposed by B. Dybowski
Longest_word_in_English
Mathematical set of all subsets of a set
numbers, in which case we cannot enumerate all irrational numbers. The binomial theorem is closely related to the power set. A k–elements combination from
Power_set
Mathematical expression with disputed status
ring. Defining 00 = 1 is necessary for many polynomial identities. For example, the binomial theorem ( 1 + x ) n = ∑ k = 0 n ( n k ) x k {\textstyle
Zero_to_the_power_of_zero
Generalization of Vandermonde's identity
In mathematics, the Rothe–Hagen identity is a mathematical identity valid for all complex numbers ( x , y , z {\displaystyle x,y,z} ) except where its
Rothe–Hagen_identity
Theorem about the constant term of certain Laurent polynomials
,a_{n}).} The case n = 3 of Dyson's conjecture follows from the Dixon identity. Sills & Zeilberger (2006) and (Sills 2006) used a computer to find expressions
Dyson_conjecture
Q-analog of hypergeometric series
q-binomial coefficient. The special case of a = 0 is closely related to the q-exponential.[citation needed] Srinivasa Ramanujan gave the identity 1 ψ
Basic_hypergeometric_series
Special case of the Euler-Lagrange equations
The Beltrami identity, named after Eugenio Beltrami, is a special case of the Euler–Lagrange equation in the calculus of variations. The Euler–Lagrange
Beltrami_identity
Probability distribution
conjugate prior probability distribution for the Bernoulli, binomial, negative binomial, and geometric distributions. The formulation of the beta distribution
Beta_distribution
Theorem: (cos x + i sin x)^n = cos nx + i sin nx
also cos x and sin x, are real numbers, then the identity of these parts can be written using binomial coefficients. This formula was given by 16th century
De_Moivre's_formula
Identity expressing an integral as a sum
In mathematics, the sophomore's dream is the pair of identities (especially the first) ∫ 0 1 x − x d x = ∑ n = 1 ∞ n − n ∫ 0 1 x x d x = ∑ n = 1 ∞ ( −
Sophomore's_dream
Character stereotype used to represent primitive men
Keith. The term "caveman" has its taxonomic equivalent in the now-obsolete binomial classification of Homo troglodytes (Linnaeus, 1758). Cavemen are typically
Caveman
Selection of items from a set
{\displaystyle C(n,k)} or C k n {\displaystyle C_{k}^{n}} , is equal to the binomial coefficient: ( n k ) = n ( n − 1 ) ⋯ ( n − k + 1 ) k ( k − 1 ) ⋯ 1 , {\displaystyle
Combination
Discrete probability distribution
k}{{N-n} \choose {K-k}}} \over {N \choose K}};} This identity can be shown by expressing the binomial coefficients in terms of factorials and rearranging
Hypergeometric_distribution
polynomial Quantum calculus LLT polynomial q-binomial coefficient q-Pochhammer symbol q-Vandermonde identity q-Bessel polynomials q-Charlier polynomials
List_of_q-analogs
One or more words used to refer to something
conventions include: In astronomy, astronomical naming conventions In biology, binomial nomenclature In chemistry, chemical nomenclature In classics, Roman naming
Name
Mathematical identity of polynomials
{\displaystyle {\tbinom {n-1}{k}}} . Sum of two cubes Binomial number Sophie Germain's identity Aurifeuillean factorization Congruum, the shared difference
Difference_of_two_squares
Mathematical set with repetitions allowed
{\displaystyle {\tbinom {n}{k}}.} Like the binomial distribution that involves binomial coefficients, there is a negative binomial distribution in which the multiset
Multiset
Algebra in algebraic topology
0 {\displaystyle i,j>0} such that i < 2 j {\displaystyle i<2j} . (The binomial coefficients are to be interpreted mod 2.) The Adem relations allow one
Steenrod_algebra
{(-s)_{n}}{n!}}a_{n}} where ( s n ) {\displaystyle {s \choose n}} is the binomial coefficient and ( s ) n {\displaystyle (s)_{n}} is the falling factorial
Table_of_Newtonian_series
Formula computing the inverse of the sum of a matrix and the outer product of two vectors
performs a rank-1 update to a determinant. Woodbury matrix identity Quasi-Newton method Binomial inverse theorem Bunch–Nielsen–Sorensen formula Maxwell stress
Sherman–Morrison_formula
Type of polynomial sequence
differentiation, and the group of sequences of binomial type, which are those that satisfy the identity p n ( x + y ) = ∑ k = 0 n ( n k ) p k ( x )
Sheffer_sequence
Constant equal to twice pi
2024. Harremoës, Peter (2017). "Bounds on tail probabilities for negative binomial distributions". Kybernetika. 52 (6): 943–966. arXiv:1601.05179. doi:10
Tau_(mathematics)
2.71828...; base of natural logarithms
characterizations using the limit and the infinite series can be proved via the binomial theorem. Jacob Bernoulli discovered this constant in 1683, while studying
E_(mathematical_constant)
Mathematical polynomial formula
according to the identity a 3 + b 3 = ( a + b ) ( a 2 − a b + b 2 ) {\displaystyle a^{3}+b^{3}=(a+b)(a^{2}-ab+b^{2})} in elementary algebra. Binomial numbers generalize
Sum_of_two_cubes
Doubtful name in taxonomy
In binomial nomenclature, a nomen dubium (Latin for "doubtful name", plural nomina dubia) is a scientific name that is of unknown or doubtful application
Nomen_dubium
Species of plant
counterpoints more supportive of Wasson's theory from Jonathan Ott. The identity of another mysterious Aztec entheogen, namely that of poyomatli, has also
Salvia_divinorum
Concept in combinatorics (part of mathematics)
_{n=0}^{\infty }{\frac {x^{n}}{(q;q)_{n}}},} which are both special cases of the q-binomial theorem: ( a x ; q ) ∞ ( x ; q ) ∞ = ∑ n = 0 ∞ ( a ; q ) n ( q ; q ) n
Q-Pochhammer_symbol
Species of fish
fish species Weber, Claude; Covain, Raphaël; Fisch-Muller, Sonia (2012). "Identity of Hypostomus plecostomus (Linnaeus, 1758), with an overview of Hypostomus
Hypostomus_plecostomus
Algebraic structure with addition and multiplication
contains the zero ring as a subring, then R itself is the zero ring. The binomial formula holds for any x and y satisfying xy = yx. Equip the set Z / 4 Z
Ring_(mathematics)
Number of partitions of an integer
of p ( N , M , n ) {\displaystyle p(N,M,n)} is the following Gaussian binomial coefficient: ∑ n = 0 ∞ p ( N , M , n ) q n = ( N + M M ) q = ( 1 − q N
Partition function (number theory)
Partition_function_(number_theory)
Mathematical approximation of a function
convergent for |x| < 1. These are special cases of the binomial series given in the next section. The binomial series is the power series ( 1 + x ) α = ∑ n =
Taylor_series
Evolutionary process
years ago. The Latin word which refers to adult males only is vir See the Binomial nomenclature and Systema Naturae articles. Based on Schlebusch, C. M.;
Human_evolution
Type of proof technique
n} . Double counting can also be used to prove the following identity related to binomial coefficient ( n k ) = ( n n − k ) {\displaystyle {\binom {n}{k}}={\binom
Double counting (proof technique)
Double_counting_(proof_technique)
Instantaneous rate of change (mathematics)
Logarithmic differentiation Related rates Taylor's theorem Rules and identities Sum Product Chain Power Quotient L'Hôpital's rule Inverse General Leibniz
Derivative
Political alignment in the right-wing spectrum
moving toward the center, they were motivated by the imperatives of Chile's binomial electoral system, which induces parties to form coalitions, to ally with
Far-right_politics
Neo-Palladian house in France
which the species and its original taxon were first described under the binomial Yucca filifera. Some exotic plants in the Plantier de Costebelle acclimatization
Le_Plantier_de_Costebelle
Product of numbers from 1 to n
1 , {\textstyle {\tbinom {n}{n}}={\tfrac {n!}{n!0!}}=1,} a binomial coefficient identity that would only be valid with 0 ! = 1 {\displaystyle 0!=1}
Factorial
Operation in mathematical calculus
common ways of calculating definite integrals; for instance, Parseval's identity can be used to transform an integral over a rectangular region into an
Integral
diversity within the extinct elephant birds (Aves: Aepyornithidae) and a new identity for the world's largest bird". Royal Society Open Science. 5 (9) 181295
Largest_and_heaviest_animals
of Integer Sequences. OEIS Foundation. "Sloane's A000332 : Binomial coefficient binomial(n,4) = n*(n-1)*(n-2)*(n-3)/24". The On-Line Encyclopedia of
1000_(number)
(with Gottfried Leibniz) of differential calculus. He also created the binomial theorem, worked extensively on optics, and created a law of cooling. Figures
Culture_of_the_United_Kingdom
Species of bird
Linnaeus in 1758 in the tenth edition of his Systema Naturae under the binomial name Falco albicilla. The genus Haliaeetus was introduced in 1809 by the
White-tailed_eagle
Second-largest species of elephant
Müller-Wille, Staffan (December 2020). "Of elephants and errors: naming and identity in Linnaean taxonomy". History and Philosophy of the Life Sciences. 42
Asian_elephant
Indian spice derived from Ferula roots
Linnaeus, the plant identified as producing asafoetida was assigned the binomial name Ferula assa-foetida. At that time, the circumscription of the species
Asafoetida
Probability distribution and special case of gamma distribution
that the exact binomial test is always more powerful than the normal approximation. Lancaster shows the connections among the binomial, normal, and chi-squared
Chi-squared_distribution
Probability theorem
S_{n}=X_{1}+\cdots +X_{n}.} (i.e. S n {\displaystyle S_{n}} follows a Poisson binomial distribution) Then ∑ k = 0 ∞ | Pr ( S n = k ) − λ n k e − λ n k ! | < 2
Le_Cam's_theorem
Species of marine mammal
Dugongs have a key role in indigenous marine governance and cultural identity across northern Australia. They are considered part of “sea-country”, a
Dugong
Species of bird
given the binomial name Paradisea superba in 1781 in a book which has the German naturalist Johann Reinhold Forster on the title page. The binomial name is
Vogelkop_lophorina
French politician (born 1973)
Josiane Bernard. In the 2015 French departmental elections, under the new binomial system, Bagayoko ran in a pair with Florence Haye (Front de Gauche) in
Bally_Bagayoko
Matrix of partial derivatives of a vector-valued function
Logarithmic differentiation Related rates Taylor's theorem Rules and identities Sum Product Chain Power Quotient L'Hôpital's rule Inverse General Leibniz
Jacobian matrix and determinant
Jacobian_matrix_and_determinant
Chinese name for giant panda and tapir
drawings of the animal and its skeleton. However, he did not assign a binomial name for the "tapir of Malacca", and Anselme Gaëtan Desmarest coined Tapirus
Mo_(Chinese_zoology)
Domesticated species of canid
1038/scientificamerican0599-82. JSTOR 26058248. Jaksic FM, Castro SA (26 July 2023). "The identity of Fuegian and Patagonian 'dogs' among indigenous peoples in southernmost
Dog
Species of beetle
11: 69–75. doi:10.1016/j.japb.2017.12.005. Boudreaux HB (1969). "The Identity of Sitophilus oryzae". Annals of the Entomological Society of America.
Rice_weevil
Extinct genus of early reptiles
Family: †Millerettidae Genus: †Nanomilleretta Broom & Robinson, 1948 Species: †N. kitchingi Binomial name †Nanomilleretta kitchingi Broom & Robinson, 1948
Nanomilleretta
Mathematical series, portmanteau of "Fibonacci" and "factorial"
coefficients (or Fibonacci-binomial coefficients) similarly as the factorial numbers are used in the definition of binomial coefficients. The series of
Fibonorial
Species of great ape
"Implications of natural selection in shaping 99.4% nonsynonymous DNA identity between humans and chimpanzees: enlarging genus Homo". Proceedings of the
Bonobo
Branch of mathematics
derivatives and integrals in alternative calculi List of differentiation identities Publications in calculus Table of integrals Real Analysis Mathematical
Calculus
Sum of inverse squares of natural numbers
x}{\sin x}}\right)^{n}\\[4pt]&=(\cot x+i)^{n}.\end{aligned}}} From the binomial theorem, we have ( cot x + i ) n = ( n 0 ) cot n x + ( n 1 ) ( cot
Basel_problem
Usage of wording balanced in its treatment of the genders in a non-grammatical sense
expressed in different ways in the different dialects: carstgaun or uman. In binomial nomenclature, Latin species names are typically either masculine or feminine
Gender neutrality in languages with grammatical gender
Gender_neutrality_in_languages_with_grammatical_gender
Technique for proving sets have equal size
cones. Problems that admit bijective proofs are not limited to binomial coefficient identities. As the complexity of the problem increases, a bijective proof
Bijective_proof
Psychoactive species of plant
on Drugs. Berg. ISBN 978-1-84788-335-3. Beckerleg, Susan (2010). Ethnic Identity and Development: Khat and Social Change in Africa. New York: Palgrave Macmillan
Khat
BINOMIAL IDENTITY
BINOMIAL IDENTITY
Girl/Female
African, American, Arabic, Australian, Gujarati, Indian, Jain, Japanese, Muslim, Sanskrit, Swahili, Tamil
Name; One's Self; The Victorious; Named Child; Identity
Girl/Female
Indian
Identity
Girl/Female
Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Oriya, Punjabi, Sikh, Sindhi, Tamil, Telugu
Glories; Love; Identity; Pride
Boy/Male
Arabic, Gujarati, Hindu, Indian, Kannada, Muslim
Identity
Girl/Female
Hindu
Higher, North the direction, Name of a start (Princess of Virata, pupil of Arjuna as Brihhannala (his disguised identity as the eunuch dance teacher during the Pandavas final year of exile).)
Surname or Lastname
English (of Norman origin)
English (of Norman origin) : habitational name from a place in northern France, of which the identity is not clear. It is probably Sainville in Eure-et-Loire, so called from Old French saisne ‘Saxon’ + ville ‘settlement’.
Girl/Female
Muslim
Identity
Boy/Male
Muslim
Identity
Girl/Female
Tamil
Higher, North the direction, Name of a start (Princess of Virata, pupil of Arjuna as Brihhannala (his disguised identity as the eunuch dance teacher during the Pandavas final year of exile).)
Surname or Lastname
English
English : metonymic occupational name for a felt maker, from Old English felt ‘felt’.Said to be an Americanized or Germanized spelling of a Hungarian name, of uncertain identity.
BINOMIAL IDENTITY
BINOMIAL IDENTITY
Boy/Male
Indian, Sanskrit
Di-speller of Darkness
Girl/Female
Hindu, Indian
Owned by the Gods
Boy/Male
Hindu
A place sacred to Vishnu
Girl/Female
American, British, Chinese, English, Irish
Brave; Alert; A Phonetic Form of the Initials Kc; Similar to the Irish Name Casey; Vigorous
Girl/Female
Australian, Polish
Berry
Girl/Female
Hindu, Indian, Sanskrit
Skill; Skill Talent
Girl/Female
Arabic, Muslim
Unprecedented; Admirable; Unique
Boy/Male
Hindu
Term of endearment
Boy/Male
Indian, Sanskrit
Beautiful
Boy/Male
Tamil
Star with glow every time
BINOMIAL IDENTITY
BINOMIAL IDENTITY
BINOMIAL IDENTITY
BINOMIAL IDENTITY
BINOMIAL IDENTITY
n.
An expression consisting of two terms connected by the sign plus (+) or minus (-); as, a + b, or 7 - 3.
n.
Identity in pitch; coincidence of sounds proceeding from an equality in the number of vibrations made in a given time by two or more sonorous bodies. Parts played or sung in octaves are also said to be in unison, or in octaves.
a.
Consisting of two terms; pertaining to binomials; as, a binomial root.
n.
A numerical coefficient in any particular case of the binomial theorem.
n.
The state of being the same; identity; absence of difference; near resemblance; correspondence; similarity; as, a sameness of person, of manner, of sound, of appearance, and the like.
n.
A rule or principle expressed in algebraic language; as, the binominal formula.
a.
Having two names; -- used of the system by which every animal and plant receives two names, the one indicating the genus, the other the species, to which it belongs.
n.
Repetition of a theme or melody with fanciful embellishments or modifications, in time, tune, or harmony, or sometimes change of key; the presentation of a musical thought in new and varied aspects, yet so that the essential features of the original shall still preserve their identity.
n.
A single algebraic expression; that is, an expression unconnected with any other by the sign of addition, substraction, equality, or inequality.
n. & a.
Trinomial.
n.
An expression of the condition of equality between two algebraic quantities or sets of quantities, the sign = being placed between them; as, a binomial equation; a quadratic equation; an algebraic equation; a transcendental equation; an exponential equation; a logarithmic equation; a differential equation, etc.
n.
The condition of being the same with something described or asserted, or of possessing a character claimed; as, to establish the identity of stolen goods.
a.
Consisting of but a single term or expression.
a.
Of or pertaining to two names; binomial.
n.
A quantity consisting of three terms, connected by the sign + or -; as, x + y + z, or ax + 2b - c2.
a.
Consisting of three terms; of or pertaining to trinomials; as, a trinomial root.
n.
A monomial.
a.
Binominal.
n.
A name or term.
n.
A rare metallic element of doubtful identity.