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Q-analog of hypergeometric series
mathematics, basic hypergeometric series, or q-hypergeometric series, are q-analogue generalizations of generalized hypergeometric series, and are in turn
Basic_hypergeometric_series
Elliptic analog of hypergeometric series
hypergeometric series where the ratio is a rational function of n, and basic hypergeometric series where the ratio is a periodic function of the complex number
Elliptic hypergeometric series
Elliptic_hypergeometric_series
Function defined by a hypergeometric series
the Gaussian or ordinary hypergeometric function 2F1(a, b; c; z) is a special function represented by the hypergeometric series, that includes many other
Hypergeometric_function
Family of power series in mathematics
generalized hypergeometric series is a power series in which the ratio of successive coefficients indexed by n is a rational function of n. The series, if convergent
Generalized hypergeometric function
Generalized_hypergeometric_function
Infinite sum
{z^{n}}{n!}}} and their generalizations (such as basic hypergeometric series and elliptic hypergeometric series) frequently appear in integrable systems and
Series_(mathematics)
Bangladeshi Canadian mathematician and writer (1932–2015)
scientific skepticism, freethinking and rationalism. He co-authored Basic Hypergeometric Series with George Gasper. This book is widely considered as the standard
Mizan_Rahman
Branch of mathematics
geometry Quantum differential calculus Time scale calculus q-analog Basic hypergeometric series Quantum dilogarithm Abreu, Luis Daniel (2006). "Functions q-Orthogonal
Quantum_calculus
British mathematician
1960) was an English clergyman and mathematician who worked on basic hypergeometric series. He introduced several q-analogs such as the Jackson–Bessel functions
F._H._Jackson
German mathematician (1821–1881)
functions (Handbuch der Kugelfunctionen). He also investigated basic hypergeometric series. He introduced the Mehler–Heine formula. Heinrich Eduard Heine
Eduard_Heine
Contour integral involving a product of gamma functions
William Barnes (1908, 1910). They are closely related to generalized hypergeometric series. The integral is usually taken along a contour which is a deformation
Barnes_integral
Family of basic hypergeometric orthogonal polynomials
continuous big q-Hermite polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. Roelof Koekoek, Peter A. Lesky, and
Continuous big q-Hermite polynomials
Continuous_big_q-Hermite_polynomials
Concept in combinatorics (part of mathematics)
theory of basic hypergeometric series, it plays the role that the ordinary Pochhammer symbol plays in the theory of generalized hypergeometric series. Unlike
Q-Pochhammer_symbol
American mathematician (1916–1994)
Beach, Florida) was an American mathematician who worked on basic hypergeometric series. He is best known for his lecture notes on the subject which
Nathan_Fine
mathematics, the q-Charlier polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. Roelof Koekoek, Peter A. Lesky, and
Q-Charlier_polynomials
Complex-differentiable part of a Maass wave function
Bringmann and Ken Ono showed that certain q-series arising from the Rogers–Fine basic hypergeometric series are related to holomorphic parts of weight
Mock_modular_form
American mathematician
polynomials and basic hypergeometric series, who introduced the Askey–Gasper inequality. Gasper, George; Rahman, Mizan (2004), Basic hypergeometric series, Encyclopedia
George_Gasper
Type of mathematical generalization
known results. The earliest q-analog studied in detail is the basic hypergeometric series, which was introduced in the 19th century. q-analogs are most
Q-analog
Mathematical function
Cambridge University Press. Gasper, George; Rahman, Mizan (2004). Basic Hypergeometric Series. Encyclopedia of Mathematics and Its Applications. Vol. 96 (2nd ed
Ramanujan_theta_function
Ability of a body to store an electrical charge
119–120. doi:10.1093/imamat/34.1.119. Gasper; Rahman (2004). Basic Hypergeometric Series. Cambridge University Press. p. 20-22. ISBN 978-0-521-83357-8
Capacitance
Classification of orthogonal polynomials
scheme is a way of organizing orthogonal polynomials of hypergeometric or basic hypergeometric type into a hierarchy. For the classical orthogonal polynomials
Askey_scheme
distribution q-Weibull distribution Tsallis q-Gaussian Tsallis entropy Basic hypergeometric series Elliptic gamma function Hahn–Exton q-Bessel function Jackson
List_of_q-analogs
Mathematical series
In mathematics, a bilateral hypergeometric series is a series Σan summed over all integers n, and such that the ratio an/an+1 of two terms is a rational
Bilateral hypergeometric series
Bilateral_hypergeometric_series
Theorem to simplify sums of products of sequences
Chu, Wenchang (2007). "Abel's lemma on summation by parts and basic hypergeometric series". Advances in Applied Mathematics. 39 (4): 490–514. doi:10.1016/j
Summation_by_parts
continuous q-Hermite polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. Roelof Koekoek, Peter A. Lesky, and
Continuous q-Hermite polynomials
Continuous_q-Hermite_polynomials
Set of four hypergeometric series
In mathematics, Appell series are a set of four hypergeometric series F1, F2, F3, F4 of two variables that were introduced by Paul Appell (1880) and that
Appell_series
Mathematical family
q-Jacobi polynomials pn(x;a,b;q) are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme, introduced by Hahn (1949). Roelof
Little_q-Jacobi_polynomials
British mathematician
introduced Bailey's lemma and Bailey pairs into the theory of basic hypergeometric series. Bailey chains and Bailey transforms are named after him. Slater
Wilfrid_Norman_Bailey
give some generalizations of the Askey–Gasper inequality to basic hypergeometric series. Turán's inequalities Askey, Richard; Gasper, George (1976),
Askey–Gasper_inequality
continuous dual q-Hahn polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. Roelof Koekoek, Peter A. Lesky, and
Continuous dual q-Hahn polynomials
Continuous_dual_q-Hahn_polynomials
the big q-Laguerre polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. Roelof Koekoek, Peter A. Lesky, and
Big_q-Laguerre_polynomials
Q-analog in combinatorial mathematics
z ) . {\displaystyle E_{q}(z).} It is a special case of the basic hypergeometric series, E q ( z ) = 1 ϕ 1 ( 0 0 ; z ) = ∑ n = 0 ∞ q ( n 2 ) ( − z )
Q-exponential
Hypergeometric orthogonal polynomials
continuous q-Hahn polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. Roelof Koekoek, Peter A. Lesky, and
Continuous_q-Hahn_polynomials
Mathematical identities related to integer partitions
the Rogers–Ramanujan identities are two identities related to basic hypergeometric series and integer partitions. The identities were first discovered
Rogers–Ramanujan_identities
Function in q-analog theory
ISSN 0950-1207, JSTOR 92601 Gasper, George; Rahman, Mizan (2004), Basic hypergeometric series, Encyclopedia of Mathematics and its Applications, vol. 96 (2nd ed
Q-gamma_function
Alumni of university
mathematician, author of the standard work of choice in the field of Basic Hypergeometric Series S.M. Ullah, soil scientist and environmentalist who researched
List of University of Dhaka alumni and faculty members
List_of_University_of_Dhaka_alumni_and_faculty_members
quantum q-Krawtchouk polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. Roelof Koekoek, Peter A. Lesky, and
Quantum q-Krawtchouk polynomials
Quantum_q-Krawtchouk_polynomials
mathematics, the q-Hahn polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. Roelof Koekoek, Peter A. Lesky, and
Q-Hahn_polynomials
Stieltjes–Wigert polynomials P(α) n(x;q) are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme introduced by Moak 1981. Koekoek,
Q-Laguerre_polynomials
mathematics, the q-Bessel polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. Roelof Koekoek, Peter A. Lesky, and
Q-Bessel_polynomials
Polynomial sequence
In mathematics, Jacobi polynomials (occasionally called hypergeometric polynomials) P n ( α , β ) ( x ) {\displaystyle P_{n}^{(\alpha ,\beta )}(x)} are
Jacobi_polynomials
Family of basic hypergeometric orthogonal polynomials in the basic Askey scheme
Al-Salam–Chihara polynomials Qn(x;a,b;q) are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme, introduced by Al-Salam and Chihara (1976)
Al-Salam–Chihara_polynomials
q-Meixner–Pollaczek polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. Roelof Koekoek, Peter A. Lesky, and
Q-Meixner–Pollaczek polynomials
Q-Meixner–Pollaczek_polynomials
Family of hypergeometric orthogonal polynomials
mathematics, the dual q-Hahn polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. Roelof Koekoek, Peter A. Lesky, and
Dual_q-Hahn_polynomials
affine q-Krawtchouk polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme, introduced by Carlitz and Hodges
Affine q-Krawtchouk polynomials
Affine_q-Krawtchouk_polynomials
dual q-Krawtchouk polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. Roelof Koekoek, Peter A. Lesky, and
Dual_q-Krawtchouk_polynomials
Mathematical technique for improving convergence
applied to the hypergeometric series gives some of the classic, well-known hypergeometric series identities. Given an infinite series with a sequence
Series_acceleration
On finite sums of products of three binomial coefficients, and a hypergeometric sum
the Selberg integral. A q-analogue of Dixon's formula for the basic hypergeometric series in terms of the q-Pochhammer symbol is given by 4 φ 3 [ a − q
Dixon's_identity
Family of orthogonal polynomials
introduced by Askey & Wilson (1985), are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. Roelof Koekoek, Peter A. Lesky, and
Continuous q-Jacobi polynomials
Continuous_q-Jacobi_polynomials
continuous q-Laguerre polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. Roelof Koekoek, Peter A. Lesky, and
Continuous q-Laguerre polynomials
Continuous_q-Laguerre_polynomials
mathematics, the q-Meixner polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. Roelof Koekoek, Peter A. Lesky, and
Q-Meixner_polynomials
mathematics, the q-Racah polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme, introduced by Askey & Wilson (1979)
Q-Racah_polynomials
Mathematic function
ISSN 0950-1207, JSTOR 92601 Gasper, George; Rahman, Mizan (2004), Basic hypergeometric series, Encyclopedia of Mathematics and its Applications, vol. 96 (2nd ed
Elliptic_gamma_function
or Wall polynomials Wn(x; b,q) are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme closely related to a continued fraction
Little_q-Laguerre_polynomials
Mathematical formula by Thomas Clausen
Clausen (1828), expresses the square of a Gaussian hypergeometric series as a generalized hypergeometric series. It states 2 F 1 [ a b a + b + 1 / 2 ; x ] 2
Clausen's_formula
the q-Krawtchouk polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme Roelof Koekoek, Peter A. Lesky, and
Q-Krawtchouk_polynomials
closely related families hn(x;q) and ĥn(x;q) of basic hypergeometric orthogonal polynomials in the basic Askey scheme, introduced by Al-Salam and Carlitz (1965)
Discrete q-Hermite polynomials
Discrete_q-Hermite_polynomials
Family of orthogonal polynomials
polynomials can be defined in terms of the q-Pochhammer symbol and the basic hypergeometric series by C n ( x ; β | q ) = ( β ; q ) n ( q ; q ) n e i n θ 2 ϕ 1
Rogers_polynomials
elliptic hypergeometric series Jacobi theta function Ramanujan theta function Gasper, George; Rahman, Mizan (2004). Basic Hypergeometric Series. doi:10
Q-theta_function
functions are given in terms of the q-Pochhammer symbol and the basic hypergeometric function ϕ {\displaystyle \phi } by J ν ( 1 ) ( x ; q ) = ( q ν +
Jackson_q-Bessel_function
orthogonal family of polynomials defined in terms of Heine's basic hypergeometric series as P n ( x ; c ; q ) = 3 ϕ 2 ( q − n , q n + 1 , x ; q , c q
Big_q-Legendre_polynomials
family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. The polynomials are given in terms of basic hypergeometric functions
Big_q-Jacobi_polynomials
}&ae^{-i\theta }\\ab&ac&ad\end{matrix}};q,q\right]} where φ is a basic hypergeometric function, x = cos θ, and (,,,)n is the q-Pochhammer symbol. Askey–Wilson
Askey–Wilson_polynomials
Mathematical formula involving a given set of operations
error function or gamma function to be basic. It is possible to solve the quintic equation if general hypergeometric functions are included, although the
Closed-form_expression
Generalization of the hypergeometric function
particular cases. This was not the only attempt of its kind: the generalized hypergeometric function and the MacRobert E-function had the same aim, but Meijer's
Meijer_G-function
(3). doi:10.37236/2481. Gasper, George; Rahman, Mizan (2004), Basic hypergeometric series, Encyclopedia of Mathematics and its Applications, vol. 96 (2nd ed
Rogers–Szegő_polynomials
Stieltjes and Carl Severin Wigert) are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme, for the weight function w ( x ) =
Stieltjes–Wigert_polynomials
Indian mathematician and professor (born 1972)
papers so far related to special functions, modular equation, Basic hypergeometric series and integer partitions.[better source needed] He has so far guided
Nayandeep_Deka_Baruah
American mathematician (1933–2019)
ISBN 978-0-89871-018-2, MR 0481145. Richard Askey; James Wilson (1985), "Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials", Memoirs
Richard_Askey
Analytic function that does not satisfy a polynomial equation
arXiv:1004.1668v1 [math.NT]. Archinard, N. (2003). "Exceptional sets of hypergeometric series". Journal of Number Theory. 101 (2): 244–269. doi:10.1016/S0022-314X(03)00042-8
Transcendental_function
Kummer's function Riesz function Hypergeometric functions: Versatile family of power series. Confluent hypergeometric function Associated Legendre functions
List of mathematical functions
List_of_mathematical_functions
British mathematician (1922-2008)
Slater (5 January 1922 – 6 June 2008) was a mathematician who worked on hypergeometric functions, and who found many generalizations of the Rogers–Ramanujan
Lucy_Joan_Slater
Branch of discrete mathematics
extended to an infinite (specifically, countable) but discrete setting. Basic combinatorial concepts and enumerative results appeared throughout the ancient
Combinatorics
}{}_{1}\phi _{1}(0;q^{\nu +1};q,qx^{2}).} ϕ {\displaystyle \phi } is the basic hypergeometric function. Koelink and Swarttouw proved that J ν ( 3 ) ( x ; q ) {\displaystyle
Hahn–Exton_q-Bessel_function
Python library for symbolic computation
hypergeometric, special functions, etc. Substitution Arbitrary precision integers, rationals and floats Noncommutative symbols Pattern matching Basic
SymPy
German polymath and scholar (1777–1855)
theory of binary and ternary quadratic forms, and the theory of hypergeometric series. When Gauss was only 19 years old, he proved the construction of
Carl_Friedrich_Gauss
Special mathematical functions defined on the surface of a sphere
is given by the hypergeometric series; furthermore, the spherical harmonics can be re-expressed in terms of the hypergeometric series, as SO(3) = PSU(2)
Spherical_harmonics
Overview of and topical guide to probability
binomial, negative binomial, (discrete) uniform, geometric, Poisson, and hypergeometric. Continuous: (continuous) uniform, exponential, gamma, beta, normal
Outline_of_probability
Types of special mathematical functions
{z^{s+k}}{s+k}}={\frac {z^{s}}{s}}M(s,s+1,-z),} where M is Kummer's confluent hypergeometric function. When the real part of z is positive, γ ( s , z ) = s − 1 z
Incomplete_gamma_function
Sigmoid shape special function
the Mittag-Leffler function, and can also be expressed as a confluent hypergeometric function (Kummer's function): erf ( x ) = 2 x π M ( 1 2 , 3 2 , −
Error_function
Formal power series
function Li2(z), the generalized hypergeometric functions pFq(...; ...; z) and the functions defined by the power series ∑ n = 0 ∞ z n ( n ! ) 2 {\displaystyle
Generating_function
Probability distribution
the draws are not independent and so the resulting distribution is a hypergeometric distribution, not a binomial one. However, for N much larger than n
Binomial_distribution
Scientific area at the interface between computer science and mathematics
F5 algorithm) Gosper's algorithm: find sums of hypergeometric terms that are themselves hypergeometric terms Knuth–Bendix completion algorithm: for rewriting
Computer_algebra
Sampling technique
distribution. For a simple random sample without replacement, one obtains a hypergeometric distribution. Several efficient algorithms for simple random sampling
Simple_random_sample
of Order Four (University Lecture Series), AMS 1992, ISBN 0821870025 Varchenko, A. Multidimensional hypergeometric functions and representation theory
Alexander_Varchenko
Measure of linear correlation
z ) {\displaystyle {}_{2}\mathrm {F} _{1}(a,b;c;z)} is the Gaussian hypergeometric function. In the special case when ρ = 0 {\displaystyle \rho =0} (zero
Pearson correlation coefficient
Pearson_correlation_coefficient
Type of generalization of periodic functions in Euclidean space
existence of a class of Fuchsian functions, those which come from the hypergeometric series; I had only to write out the results, which took but a few hours
Automorphic_form
Difference between logarithm and harmonic series
2024-11-01. "DLMF: §13.2 Definitions and Basic Properties ‣ Kummer Functions ‣ Chapter 11 Confluent Hypergeometric Functions". dlmf.nist.gov. Retrieved 2024-11-01
Euler's_constant
Extension of Laplace's method for approximating integrals
out that it occurred in the unpublished note by Riemann (1863) about hypergeometric functions. The contour of steepest descent has a minimax property, see
Method_of_steepest_descent
Mathematical function for the probability a given outcome occurs in an experiment
hypergeometric distribution, similar to the multinomial distribution, but using sampling without replacement; a generalization of the hypergeometric distribution
Probability_distribution
Special mathematical function
(Includes various basic identities in the introduction.) Jackson, M. (1950), "On Lerch's transcendent and the basic bilateral hypergeometric series 2ψ2", J. London
Lerch_transcendent
Statistical transformation
{1}{2}};{\frac {1+r\rho }{2}}\right)} where F {\displaystyle F} is the Gaussian hypergeometric function and ν = N − 1 > 1 {\displaystyle \nu =N-1>1} . While the Fisher
Fisher_transformation
integrals", Q. J. Pure Appl. Math. 41 193–203. Exton, Harold (1983). Q-hypergeometric functions and applications. Chichester [West Sussex]: E. Horwood. ISBN 978-0470274538
Jackson_integral
Mathematical software
Symbolic integration via e.g. Risch algorithm or Risch–Norman algorithm Hypergeometric summation via e.g. Gosper's algorithm Limit computation via e.g. Gruntz's
Computer_algebra_system
Mathematical functions having established names and notations
theory of orthogonal polynomials is of a definite but limited scope. Hypergeometric series, observed by Felix Klein to be important in astronomy and mathematical
Special_functions
Probability distribution
characteristic function of the beta distribution is Kummer's confluent hypergeometric function (of the first kind): φ X ( α ; β ; t ) = E [ e i t X ] =
Beta_distribution
(editors: Tom H. Koornwinder, Jasper V. Stokman) Volume 3: Hypergeometric and Basic Hypergeometric Functions (editor: Mourad Ismail) Further volumes were
Bateman_Manuscript_Project
Polynomial sequence
{n-2k}{{\tfrac {n-m}{2}}-k}}\rho ^{n-2k}} . A notation as terminating Gaussian hypergeometric functions is useful to reveal recurrences, to demonstrate that they
Zernike_polynomials
Mathematical function
}}{2}}\operatorname {erf} (z)} , sin ( z ) {\displaystyle \sin(z)} . Hypergeometric functions: For p ∈ N {\displaystyle p\in \mathbb {N} } a general formula
Mittag-Leffler_function
Type of function in mathematics
analytic. Many special functions are analytic on a suitable domain: hypergeometric functions on suitable domains Bessel functions on suitable domains The
Analytic_function
Function that quantifies how near a number is to being rational
Irrationality Measures and the Flint-Hills Series". arXiv:2208.13356 [math.NT]. Zudilin, Wadim (2014-06-01). "Two hypergeometric tales and a new irrationality measure
Irrationality_measure
BASIC HYPERGEOMETRIC-SERIES
BASIC HYPERGEOMETRIC-SERIES
Boy/Male
Turkish
Intelligent.
Boy/Male
Muslim
Vast, Spacious, One who stretches, Enlarges
Female
Hebrew
 Variant spelling of Hebrew Basya, BASIA means "daughter of God."
Boy/Male
Hindu
King, Basil the herb
Boy/Male
Muslim
Clear
Boy/Male
Muslim
King, Basil the herb (1)
Boy/Male
Greek
Royal. Kingly. St Basil the Great was Bishop of Caesarea in the latter half of the 4th century....
Boy/Male
Muslim
Vision, Propitious, Auspicious, Prudent, Bringer of glad tidings
Male
English
 English form of French Basile, BASIL means "king." Also sometimes given as an herb name.
Boy/Male
Greek American English
Royal. Kingly. St Basil the Great was Bishop of Caesarea in the latter half of the 4th century....
Boy/Male
Muslim
Smiling, Happy
Boy/Male
Indian
Vast, Spacious, One who stretches, Enlarges
Boy/Male
Tamil
King, Basil the herb
Boy/Male
Hindu
Basic, Foundation
Boy/Male
Tamil
Basic, Foundation
Boy/Male
Indian
Vision, Propitious, Auspicious, Prudent, Bringer of glad tidings
Boy/Male
Tamil
Basic, Foundation
Boy/Male
Hindu
Basic, Foundation
Boy/Male
Indian
Smiling, Happy
Surname or Lastname
English and French
English and French : from a medieval personal name, ultimately from Greek Basileios ‘royal’. The name was borne by a 4th-century bishop of Caesarea in Cappadocia, regarded as one of the four Fathers of the Eastern Church; he wrote important theological works and established a rule for religious orders of monks. Various other saints are also known under these and cognate names. The popularity of Vasili as a Russian personal name is largely due to the fact that this was the ecclesiastical name of St. Vladimir (956–1015), Prince of Kiev, who was chiefly responsible for the introduction of Christianity to Russia. As an American surname, this has also absorbed some Greek, Russian, and other derivatives of Greek Vasili.
BASIC HYPERGEOMETRIC-SERIES
BASIC HYPERGEOMETRIC-SERIES
Boy/Male
Tamil
Luminous
Boy/Male
Hindu
Separation from world
Boy/Male
Tamil
Pushpraj | பà¯à®·à¯à®ªà®°à®¾à®œÂ
King of flowers
Girl/Female
Muslim
Blooming flower
Boy/Male
Shakespearean Greek Latin
The History of Troilus and Cressida' A Greek commander.
Boy/Male
Tamil
A bow in hand
Boy/Male
Hindu, Indian, Tamil
Intelligent
Girl/Female
Australian, British, English, French, German, Latin, Swedish
Follower of Christ
Boy/Male
Biblical
A stranger.
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Lord Shiva
BASIC HYPERGEOMETRIC-SERIES
BASIC HYPERGEOMETRIC-SERIES
BASIC HYPERGEOMETRIC-SERIES
BASIC HYPERGEOMETRIC-SERIES
BASIC HYPERGEOMETRIC-SERIES
a.
Containing a high percentage of silica; -- opposed to basic.
a.
Negative; nonmetallic; acid; -- opposed to positive, metallic, or basic.
a.
Apparently alkaline, as certain normal salts which exhibit alkaline reactions with test paper.
a.
Hence, formerly, basic, basylous, as opposed to chlorous.
a.
Hence, basic; metallic; not acid; -- opposed to negative, and said of metals, bases, and basic radicals.
a.
Having the base in excess, or the amount of the base atomically greater than that of the acid, or exceeding in proportion that of the related neutral salt.
a.
Inclosed in a basin.
v. & a.
Fixed foundation; established basis.
a.
Relating to a base; performing the office of a base in a salt.
n.
The name given to several aromatic herbs of the Mint family, but chiefly to the common or sweet basil (Ocymum basilicum), and the bush basil, or lesser basil (O. minimum), the leaves of which are used in cookery. The name is also given to several kinds of mountain mint (Pycnanthemum).
p. pr. & vb. n.
of Basil
imp. & p. p.
of Basil
n.
A basic silicate.
n.
A basic salt. See the Note under Salt.
a.
Said of crystalline rocks which contain a relatively low percentage of silica, as basalt.
n.
A basic amido derivative of phloroglucin, having an astringent taste.
n.
A basin.
n.
The quantity contained in a basin.
a.
Of or pertaining to barium; as, baric oxide.
pl.
of Basis