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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
Algebraic expansion of powers of a binomial
In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial. According to the theorem
Binomial_theorem
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
Probability distribution
In probability theory and statistics, the binomial distribution with parameters n and p is the discrete probability distribution of the number of successes
Binomial_distribution
Mathematical approximation of a function
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 = 0 ∞ ( α n ) x
Taylor_series
Probability distribution
In probability theory and statistics, the negative binomial distribution, also called a Pascal distribution, is a discrete probability distribution that
Negative binomial distribution
Negative_binomial_distribution
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
Sequence of numbers ((2n) choose (n))
In mathematics the nth central binomial coefficient is the particular binomial coefficient ( 2 n n ) = ( 2 n ) ! ( n ! ) 2 for all n ≥ 0. {\displaystyle
Central_binomial_coefficient
Topics referred to by the same term
of polynomials Binomial series, a mathematical series Binomial distribution, a type of probability distribution Binomial process Binomial test, a test of
Binomial
Type of polynomial sequence
which the index of each polynomial equals its degree, is said to be of binomial type if it satisfies the sequence of identities p n ( x + y ) = ∑ k = 0
Binomial_type
Regression analysis technique
a series of n {\displaystyle n} independent Bernoulli trials, where each trial has probability of success p {\displaystyle p} . In binomial regression
Binomial_regression
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
In mathematics, a polynomial with two terms
In algebra, a binomial is a polynomial that is the sum of two terms, each of which is a monomial. It is the simplest kind of a sparse polynomial after
Binomial_(polynomial)
1 n ) n {\displaystyle e_{n}=\left(1+{\frac {1}{n}}\right)^{n}} By the binomial theorem: e n = ∑ k = 0 n ( n k ) 1 n k = ∑ k = 0 n n k _ k ! 1 n k {\displaystyle
List_of_representations_of_e
Approximation of powers of some binomials
The binomial approximation is useful for approximately calculating powers of sums of 1 and a small number x. It states that ( 1 + x ) α ≈ 1 + α x . {\displaystyle
Binomial_approximation
Statistical confidence interval for success counts
statistics, a binomial proportion confidence interval is a confidence interval for the probability of success calculated from the outcome of a series of success–failure
Binomial proportion confidence interval
Binomial_proportion_confidence_interval
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
Graphical aid for deriving some concepts in combinatorics
{\displaystyle x^{n}} is found using binomial series to be ( n − 1 k − 1 ) {\displaystyle {\tbinom {n-1}{k-1}}} . Gaussian binomial coefficient Partition (number
Stars and bars (combinatorics)
Stars_and_bars_(combinatorics)
Triangular array of the binomial coefficients
mathematics, Pascal's triangle is an infinite triangular array of the binomial coefficients which play a crucial role in probability theory, combinatorics
Pascal's_triangle
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
A binomial QMF – properly an orthonormal binomial quadrature mirror filter – is an orthogonal wavelet developed in 1990. The binomial QMF bank with perfect
Binomial_QMF
Topics referred to by the same term
Newton's series may refer to: The Newton series for finite differences, used in interpolation theory. The binomial series, first proved by Isaac Newton
Newton's_series
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
Recursive integer sequence
0}c(x)=1\,.} The square root term can be expanded as a power series using the binomial series 1 − 1 − 4 x = − ∑ n = 1 ∞ ( 1 2 n ) ( − 4 x ) n = − ∑ n = 1
Catalan_number
Quantity in relativistic physics
{63}{256}}\beta ^{10}+\cdots ,\end{aligned}}} which is a special case of a binomial series. The approximation γ ≈ 1 + 1 2 β 2 {\textstyle \gamma \approx 1+{\frac
Lorentz_factor
Arrangement of trinomial coefficients
triangle, which contains the binomial coefficients that appear in the binomial expansion and the binomial distribution. The binomial and trinomial coefficients
Pascal's_pyramid
Rational numbers in a reciprocal logarithm
x {\displaystyle x} , once directly and the second time using the binomial series expansion first. It implies the finite summation formula n ! G n =
Gregory_coefficients
Solution of a confluent hypergeometric equation
integral followed by expanding the binomial series and integrating it formally term by term gives rise to an asymptotic series expansion, valid as x → ∞: U
Confluent hypergeometric function
Confluent_hypergeometric_function
Mathematical theorem on convolved binomial coefficients
identity (or Vandermonde's convolution) is the following identity for binomial coefficients: ( m + n r ) = ∑ k = 0 r ( m k ) ( n r − k ) {\displaystyle
Vandermonde's_identity
In mathematics, series built from equally spaced terms of another series
series is a new power series composed of equally spaced terms extracted unaltered from the original series. Formally, if one is given a power series ∑
Series_multisection
Data structure that acts as a priority queue
In computer science, a binomial heap is a data structure that acts as a priority queue. It is an example of a mergeable heap (also called meldable heap)
Binomial_heap
Fictional book mentioned in stories of Sherlock Holmes
A Treatise on the Binomial Theorem is a fictional work of mathematics by the young Professor James Moriarty, the criminal mastermind and archenemy of the
A Treatise on the Binomial Theorem
A_Treatise_on_the_Binomial_Theorem
Recurrence relations of binomial coefficients in Pascal's triangle
+X^{n}={\frac {X^{r}-X^{n+1}}{1-X}}={\frac {X^{n+1}-X^{r}}{x}}} . Further, by the binomial theorem, we also find that X r + k = ( 1 + x ) r + k = ∑ i = 0 r + k (
Hockey-stick_identity
Mathematical concept
for the natural logarithm, the arcsin function, and the generalized binomial series. Jones & Thron (1980) p. 5 C. F. Gauss (1813), Werke, vol. 3 pp. 134–38
Gauss's_continued_fraction
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
Mathematical function
{(-1)^{k}}{k}}{\binom {s-1}{k}}\cdots ,\quad \Re (s)>0.\end{aligned}}} where (s k) is the binomial coefficient. It may also be generalized to ψ ( s + 1 ) = − γ − 1 m ∑ k
Digamma_function
Geographic coordinate specifying north-south position
map projection. It can be evaluated by expanding the integral by the binomial series and integrating term by term: see Meridian arc for details. The length
Latitude
Conjecture in combinatorial number theory
prime numbers appear two times; 6 appears three times, as do all central binomial coefficients except for 1 and 2; (it is in principle not excluded that
Singmaster's_conjecture
Near-field diffraction
^{4}}{8z^{3}}}+\cdots \end{aligned}}} If we consider all the terms of binomial series, then there is no approximation. Let us substitute this expression
Fresnel_diffraction
Type of function in mathematics
example, if α > 0 {\displaystyle \alpha >0} is not an integer, then the binomial series ( 1 + z ) α = ∑ n = 0 ∞ ( α n ) z n {\displaystyle (1+z)^{\alpha }=\sum
Analytic_function
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
Model describing the adsorption of a mono-layer of gas molecules on an ideal flat surface
chemical potential of an adsorbed molecule. As it has the form of binomial series, the summation is reduced to Z ( μ A ) = ( 1 + x ) N S , {\displaystyle
Langmuir_adsorption_model
Numerical method for calculating the gamma function
{\displaystyle \Gamma (1-z)\;\Gamma (z)={\frac {\pi }{\sin \pi z}}.} The series A is convergent, and may be truncated to obtain an approximation with the
Lanczos_approximation
Generalization of the binomial distribution
probability theory, the multinomial distribution is a generalization of the binomial distribution. For example, it models the probability of counts for each
Multinomial_distribution
Expectation or average of the falling factorial of a random variable
involve Stirling numbers of the second kind. If a random variable X has a binomial distribution with success probability p ∈ [0,1] and number of trials n
Factorial_moment
Arithmetic operation, inverse of nth power
1665, Isaac Newton discovered the general binomial theorem, which can convert an nth root into an infinite series. Based on approach developed by François
Nth_root
series – see Taylor series Binomial series – the Maclaurin series of the function f given by f(x) = (1 + x) α Telescoping series Alternating series Geometric
List_of_real_analysis_topics
Solved prime-number problem
mathematical publications. The basic idea is to show that the central binomial coefficients must have a prime factor within the interval ( n , 2 n ) {\displaystyle
Proof_of_Bertrand's_postulate
Distance measured along the surface of the Earth
expressions in the FCC formula are derived from the truncation of the binomial series expansion form of M {\displaystyle M\,\!} and N {\displaystyle N\,\
Geographical_distance
Characteristic of electromagnetic radiation
com/~u85920178/data/pathlos.htm#bulges Archived 2009-10-14 at the Wayback Machine Approximating 2-Ray Model by using Binomial series by Matthew Bazajian
Line-of-sight_propagation
Result from multiplying no factors
found in the binomial theorem (which assumes and implies that x0 = 1 for all x), Stirling number, König's theorem, binomial type, binomial series, difference
Empty_product
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
{\displaystyle {s \choose n}} is the binomial coefficient and ( s ) n {\displaystyle (s)_{n}} is the falling factorial. Newtonian series often appear in relations
Table_of_Newtonian_series
Infinite matrices with Pascal's triangle as elements
combinatorics, a Pascal matrix is a matrix (possibly infinite) containing the binomial coefficients as its elements. It is thus an encoding of Pascal's triangle
Pascal_matrix
Mathematical operation
{F}}f(e^{-x})\right\}(-is)\ .} The Mellin transform also connects the Newton series or binomial transform together with the Poisson generating function, by means
Mellin_transform
Mathematical functions
{\displaystyle (x)_{n}} with yet another meaning, namely to denote the binomial coefficient ( x n ) {\displaystyle {\tbinom {x}{n}}} . In this article
Falling_and_rising_factorials
Empirical law on the variance of species in a habitat
Sundt-Jewel family are the Poisson, binomial, negative binomial (Pascal), extended truncated negative binomial and logarithmic series distributions. If the population
Taylor's_law
Generalized chain rule in calculus
formal power series and b 0 = 0 {\displaystyle b_{0}=0} . Then the composition f ∘ g {\displaystyle f\circ g} is again a formal power series, f ( g ( x
Faà_di_Bruno's_formula
Numeral system in combinatorics
terms cancel each other, leaving the first and last term (see Telescoping series). However, when using Arabic numerals to write the digits (and not including
Factorial_number_system
Upper bound on intersecting set families
the number of sets in A {\displaystyle {\mathcal {A}}} is at most the binomial coefficient ( n − 1 r − 1 ) . {\displaystyle {\binom {n-1}{r-1}}.} The
Erdős–Ko–Rado_theorem
Theorem in p-adic analysis
{\displaystyle n} th binomial coefficient polynomial. Here, the n {\displaystyle n} th forward difference is computed by the binomial transform, so that
Mahler's_theorem
Method for evaluating stock options that divides time into discrete intervals
Edgeworth binomial trees may be employed, as these allow for an analyst-specified skew and kurtosis in spot-price returns (see Edgeworth series). Here,
Lattice_model_(finance)
Integer sequence
(starting from n = 0) gives the highest power of 2 that divides the central binomial coefficient ( 2 n n ) {\displaystyle {\tbinom {2n}{n}}} , and it gives
Gould's_sequence
Type of prime number
Vandermonde's identity · Binomial theorem · Binomial series · Binomial transform · Binomial type ·Twelvefold way · Abel's binomial theorem · Trinomial expansion
Wilson_prime
Product of the first "n" prime numbers
and oscillate infinitely around e {\displaystyle e} later on. Since the binomial coefficient ( 2 n n ) {\displaystyle {\tbinom {2n}{n}}} is divisible by
Primorial
Numbering of combinations of items
argument proves that every N can be written in exactly one way as a sum of k binomial coefficients of the given form. The given formula allows finding the place
Combinatorial_number_system
Mathematical fallacy
also known as freshman exponentiation, the child's binomial theorem, (rarely) the schoolboy binomial theorem, or the Frobenius identity is the generally-false
Freshman's_dream
{\displaystyle p} pairs of identical cards from the two sets, which is the binomial coefficient ( n p ) {\displaystyle {n \choose p}} . The remaining k − 2
Trinomial_triangle
{\displaystyle \forall n>1} Series (mathematics) List of integrals Summation § Identities Taylor series Binomial theorem Gregory's series On-Line Encyclopedia
List_of_mathematical_series
Mathematical result on arithmetic properties of binomial coefficients
arithmetic properties of binomial coefficients. It was discovered by Henry W. Gould in 1972. The greatest common divisors of the binomial coefficients forming
Star_of_David_theorem
Spanish mathematician (1955–2026)
on 9 February 2026, at the age of 70. Guillera, Jesús (2002). "Some binomial series obtained by the WZ-method". Advances in Applied Mathematics. 29 (4):
Jesús_Guillera
Formula in mathematics
tetrahedron. The trinomial expansion can be calculated by applying the binomial expansion twice, setting d = b + c {\displaystyle d=b+c} , which leads
Trinomial_expansion
Difference between total and static pressure
{\displaystyle \;{\tfrac {1}{2}}\gamma PM^{2}} and expanding by the binomial series gives: q c = q ( 1 + M 2 4 + M 4 40 + M 6 1600 . . . ) {\displaystyle
Impact_pressure
Series related to Ramanujan's pi formulas
certain recurrence relation, sequences which may be expressed in terms of binomial coefficients ( n k ) {\displaystyle {\tbinom {n}{k}}} , and A , B , C {\displaystyle
Ramanujan–Sato_series
Motion extremely close to the speed of light
can be approximated by first term of the γ {\displaystyle \gamma } binomial series: E k = ( γ − 1 ) m c 2 = 1 2 m v 2 + [ 3 8 m v 4 c 2 + . . . + m c
Ultrarelativistic_limit
Triangular array of natural numbers
Narayana (1930–1987). The Narayana numbers can be expressed in terms of binomial coefficients: N ( n , k ) = 1 k ( n − 1 k − 1 ) ( n k − 1 ) = 1 n ( n
Narayana_number
Generalisation of the generalised hypergeometric function pFq(z)
{\displaystyle {}_{0}\Psi _{1}\left[\ldots \right]} of the Fox–Wright function. Its series representation is W λ , μ ( z ) = ∑ n = 0 ∞ z n n ! Γ ( λ n + μ ) , λ >
Fox–Wright_function
Theory of motion and forces for objects close to the speed of light
γ(v)m0c2. The Lorentz factor γ(v) can be expanded into a Taylor series or binomial series for (v/c)2 < 1, obtaining: γ = 1 1 − ( v / c ) 2 = ∑ n = 0 ∞ (
Relativistic_mechanics
American statistician (1913–2000)
Grubbs's test for outliers, and the Mann-Grubbs method for calculating a binomial series lower confidence bound, are named after him. He worked at the Ballistic
Frank_E._Grubbs
Species of snake
anteriorly; in old individuals, the narrow white lines may be found as a series of connected spots, with a prominent spot on the vertebral region. A white
Common_krait
Mathematical work by Isaac Newton
contains also the sine series and cosine series and arc series, the logarithmic series and the binomial series. Newton's method The Mathematical Association
De analysi per aequationes numero terminorum infinitas
De_analysi_per_aequationes_numero_terminorum_infinitas
Mathematical sequences in combinatorics
of Stirling number. The notation of brackets and braces, in analogy to binomial coefficients, was introduced in 1935 by Jovan Karamata and promoted later
Stirling_number
Infinite sum that is considered independently from any notion of convergence
either by composition with the binomial series (1 + x)α, or by composition with the exponential and the logarithmic series, f α = exp ( α log ( f )
Formal_power_series
Probability distribution
conjugate prior probability distribution for the Bernoulli, binomial, negative binomial, and geometric distributions. The formulation of the beta distribution
Beta_distribution
Time series models
with the meaning of the term identified using the following formal binomial series expansion ( 1 − B ) d = ∑ k = 0 ∞ ( d k ) ( − B ) k = ∑ k = 0 ∞ ∏ a
Autoregressive fractionally integrated moving average
Autoregressive_fractionally_integrated_moving_average
A mixed binomial process is a special point process in probability theory. They naturally arise from restrictions of (mixed) Poisson processes bounded
Mixed_binomial_process
Species of moth
Terthreutis series is a species of moth of the family Tortricidae. It is found in Sichuan, China. Wikimedia Commons has media related to Terthreutis series. Wikispecies
Terthreutis_series
Number that is the product of factorials
"Comparability graphs and a new matroid", Journal of Combinatorial Theory, Series B, 22 (1): 68–90, doi:10.1016/0095-8956(77)90049-1, MR 0439689 Sloane, N
Jordan–Pólya_number
Uniqueness theorem in complex analysis
\choose n}\,\Delta ^{n}f(0)} where ( z n ) {\textstyle {z \choose n}} is the binomial coefficient and Δ n f ( 0 ) {\displaystyle \Delta ^{n}f(0)} is the n-th
Carlson's_theorem
Divergent sum of positive unit fractions
In mathematics, the harmonic series is the infinite series formed by summing all positive unit fractions: ∑ i = 1 ∞ 1 i = 1 1 + 1 2 + 1 3 + 1 4 + 1 5
Harmonic_series_(mathematics)
Mathematical integral
difference series can be extremely hard to evaluate numerically, because the binomial coefficients grow rapidly for large n. Table of Newtonian series List
Nørlund–Rice_integral
n-1} \choose {n-1}}} where ( z n ) {\displaystyle {z \choose n}} is the binomial coefficient. For β = 0 {\displaystyle \beta =0} , the generated polynomials
Difference_polynomials
Mathematical sequence
n , k ) {\displaystyle L(n,k)} are given by the formula involving the binomial coefficient L ( n , k ) = ( n − 1 k − 1 ) n ! k ! {\displaystyle L(n,k)={n-1
Lah_number
Q-analog of hypergeometric series
S2CID 119697596. Wolfram Mathworld: Cauchy Binomial Theorem Coogan, Gwynneth H.; Ono, Ken (2003), "A q-series identity and the arithmetic of Hurwitz zeta
Basic_hypergeometric_series
Polynomial with integer value for integer input
Taylor series: binomial coefficients are integer-valued polynomials, and conversely, the discrete difference of an integer series is an integer series, so
Integer-valued_polynomial
Compound probability distribution
In probability theory, a beta negative binomial distribution is the probability distribution of a discrete random variable X {\displaystyle X} equal to
Beta negative binomial distribution
Beta_negative_binomial_distribution
Infinite sum approximating a probability distribution in terms of its cumulants
Edgeworth binomial tree Stuart, A., & Kendall, M. G. (1968). The advanced theory of statistics. Hafner Publishing Company. Kolassa, John E. (2006). Series approximation
Edgeworth_series
Any experiment with two possible random outcomes
In the theory of probability and statistics, a Bernoulli trial (or binomial trial) is a random experiment with exactly two possible outcomes, "success"
Bernoulli_trial
Species of flowering plant
highly decorative marbling on the leaves. The groups Whirlybird Series and Alaska Series have gained the Royal Horticultural Society's Award of Garden Merit
Tropaeolum_majus
Sequence of data points over time
mathematics, a time series is a sequence of data points indexed, listed, or graphed in chronological order. Most commonly, a time series consists of observations
Time_series
travel, tourism, insurance
BINOMIAL SERIES
BINOMIAL SERIES
Girl/Female
Hindu
Born in the month of Shravan, Series
Girl/Female
Hindu
Born in the month of Shravan, Series
Girl/Female
Tamil
Chitramala | சிதà¯à®°à®®à®¾à®²à®¾
Series of pictures
Chitramala | சிதà¯à®°à®®à®¾à®²à®¾
Girl/Female
Bengali, Hindu, Indian, Kannada, Marathi, Sanskrit, Sindhi, Telugu
Series of Pictures
Girl/Female
Tamil
Shrinkhla | à®·à¯à®°à¯€à®¨à¯à®•à®²à®¾
Series
Shrinkhla | à®·à¯à®°à¯€à®¨à¯à®•à®²à®¾
Male
Welsh
Welsh Arthurian legend name of the giant father of the beautiful Olwen. He was cursed to die if his daughter ever married. He lived in a magic castle that seemed to get farther away the closer one came to it. When Culhwch came to seek Olwen's hand, Ysbaddaden required that he complete a series of nearly impossible tasks before he would grant permission for them to marry. Meaning unknown.
Girl/Female
Bengali, Indian
A Series of Leaves
Girl/Female
Hindu
Series
Girl/Female
Tamil
Shrinkhala | à®·à¯à®°à¯€à®¨à¯à®•à®¾à®²à®¾
Born in the month of Shravan, Series
Shrinkhala | à®·à¯à®°à¯€à®¨à¯à®•à®¾à®²à®¾
Girl/Female
Bengali, Hindu, Indian
Series of Leaves; Beauty of a Leaf
Girl/Female
Tamil
Shrankhla | à®·à¯à®°à®‚கலா
Born in the month of Shravan, Series
BINOMIAL SERIES
BINOMIAL SERIES
BINOMIAL SERIES
BINOMIAL SERIES
BINOMIAL SERIES
BINOMIAL SERIES
BINOMIAL SERIES
n.
An expression consisting of two terms connected by the sign plus (+) or minus (-); as, a + b, or 7 - 3.
n.
A number of things or events standing or succeeding in order, and connected by a like relation; sequence; order; course; a succession of things; as, a continuous series of calamitous events.
a.
Consisting of but a single term or expression.
n.
An indefinite number of terms succeeding one another, each of which is derived from one or more of the preceding by a fixed law, called the law of the series; as, an arithmetical series; a geometrical series.
n.
A monomial.
n.
A rule or principle expressed in algebraic language; as, the binominal formula.
a.
Consisting of two terms; pertaining to binomials; as, a binomial root.
n.
A quantity consisting of three terms, connected by the sign + or -; as, x + y + z, or ax + 2b - c2.
n.
A yellowish translucent substance, almost odorless and tasteless, obtained as a residue in the purification of crude petroleum, and consisting essentially of a mixture of several of the higher members of the paraffin series. It is used as an unguent, and for various purposes in the arts. See the Note under Petrolatum.
a.
Binominal.
n.
A numerical coefficient in any particular case of the binomial theorem.
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.
a.
Of or pertaining to two names; binomial.
n.
A volatile liquid hydrocarbon, C5H6, related to ethylene and acetylene, but possessing the property of unsaturation in the third degree. It is the only known member of a distinct series of compounds. It has a garlic odor.
n.
A single algebraic expression; that is, an expression unconnected with any other by the sign of addition, substraction, equality, or inequality.
n.
A name or term.
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.
a.
Consisting of three terms; of or pertaining to trinomials; as, a trinomial root.
n.
The hypothetical radical C2H3, regarded as the characteristic residue of ethylene and that related series of unsaturated hydrocarbons with which the allyl compounds are homologous.
n. & a.
Trinomial.
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