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Quadratic homogeneous polynomial in two variables
In mathematics, a binary quadratic form is a quadratic homogeneous polynomial in two variables q ( x , y ) = a x 2 + b x y + c y 2 , {\displaystyle q(x
Binary_quadratic_form
Polynomial with all terms of degree two
In mathematics, a quadratic form is a polynomial with terms all of degree two ("form" is another name for a homogeneous polynomial). For example, 4 x 2
Quadratic_form
Mathematical concept
equivalence classes of quadratic irrationalities are then in bijection with the equivalence classes of binary quadratic forms, and Lagrange showed that
Quadratic_irrational_number
Mathematical configuration
of binary quadratic forms and other such forms. To each pair of opposite faces of a Bhargava cube one can associate an integer binary quadratic form thus
Bhargava_cube
Mathematical concept
is a classification of quadratic forms and lattices over the ring of integers. An integral quadratic form is a quadratic form on Zn, or equivalently a
Genus_of_a_quadratic_form
the form bn − (b − 1)n, including the Mersenne primes and the cuban primes as special cases Williams primes, of the form (b − 1)·bn − 1 Of the form ⌊θ3n⌋
List_of_prime_numbers
Topics referred to by the same term
article binary quadratic form discusses binary forms of degree two. The article invariant of a binary form discusses binary forms of higher degree. Binary form
Binary_form_(disambiguation)
Field (mathematics) generated by the square root of an integer
been studied in great depth, initially as part of the theory of binary quadratic forms. There remain some unsolved problems. The class number problem is
Quadratic_field
Function of the coefficients of a polynomial that gives information on its roots
of quadratic fields is the fundamental discriminant. It arises in the theory of integral binary quadratic forms, which are expressions of the form: Q
Discriminant
Combinatorial optimization problem
Quadratic unconstrained binary optimization (QUBO), also known as unconstrained binary quadratic programming (UBQP), is a combinatorial optimization problem
Quadratic unconstrained binary optimization
Quadratic_unconstrained_binary_optimization
invented by Carl Friedrich Gauss, for performing a binary operation on integral binary quadratic forms (IBQFs). Gauss presented this rule in his Disquisitiones
Gauss_composition_law
\displaystyle f(x)=A_{0}x_{1}^{2}+2A_{1}x_{1}x_{2}+A_{2}x_{2}^{2}} is a binary quadratic form with an invariant given by the discriminant Δ = A 0 A 2 − A 1 2
Symbolic_method
Complex-differentiable part of a Maass wave function
Θ(𝜏)/θ(𝜏) where θ(𝜏) is a modular form of weight 1/2 and Θ(𝜏) is a theta function of an indefinite binary quadratic form, and Dean Hickerson proved similar
Mock_modular_form
Solution to x*x + y*y + z*z = 3xyz
c y 2 {\displaystyle f(x,y)=ax^{2}+bxy+cy^{2}} is an indefinite binary quadratic form with real coefficients and discriminant D = b 2 − 4 a c {\displaystyle
Markov_number
Formula that provides the solutions to a quadratic equation
algebra, the quadratic formula is a closed-form expression describing the solutions of a quadratic equation. Other ways of solving quadratic equations,
Quadratic_formula
In number theory, measure of non-unique factorization
appeared in the theory of quadratic forms: in the case of binary integral quadratic forms, as put into something like a final form by Carl Friedrich Gauss
Ideal_class_group
Topics referred to by the same term
group of a number ring Class number (binary quadratic forms), the number of equivalence classes of binary quadratic forms of a given discriminant This disambiguation
Class_number
Condition under which an odd prime is a sum of two squares
of the Disquisitiones Arithmeticae. An (integral binary) quadratic form is an expression of the form a x 2 + b x y + c y 2 {\displaystyle ax^{2}+bxy+cy^{2}}
Fermat's theorem on sums of two squares
Fermat's_theorem_on_sums_of_two_squares
mathematical invariant theory, an invariant of a binary form is a polynomial in the coefficients of a binary form in two variables x and y that remains invariant
Invariant_of_a_binary_form
Integer that is a perfect square modulo some integer
(in the 1830s) on the analytic formula for the class number of binary quadratic forms. Let q be a prime number, s a complex variable, and define a Dirichlet
Quadratic_residue
Mathematical operation
(1773) and independently by Gauss (1801), in order to classify binary quadratic forms, a classic problem in number theory. In a little sidenote to a book
Lattice_reduction
Several textbooks of number theory
Chapter 3. On quadratic residues Chapter 4. On quadratic forms Chapter 5. Determination of the class number of binary quadratic forms Supplement I. Some
Vorlesungen über Zahlentheorie
Vorlesungen_über_Zahlentheorie
Cambridge University Press, ISBN 978-0-521-54011-7 Duncan Buell (1989), Binary quadratic forms: classical theory and modern computations, Springer-Verlag, pp. 92–93
Fundamental unit (number theory)
Fundamental_unit_(number_theory)
Infinite prime numbers of the form a^2+b^4
{\displaystyle f(x,y)\in \mathbb {Z} [x,y]} a positive definite binary quadratic form satisfying f ( x , 1 ) ≢ x ( x + 1 ) ( mod 2 ) {\displaystyle f(x
Friedlander–Iwaniec_theorem
Mathematical proof technique
jumping is a classical method in the theory of quadratic Diophantine equations and binary quadratic forms. For example, it was used in the analysis of the
Vieta_jumping
Algorithms to generate prime numbers
primes Atkin, A.; Bernstein, D. J. (2004). "Prime sieves using binary quadratic forms" (PDF). Mathematics of Computation. 73 (246): 1023–1030. Bibcode:2004MaCom
Generation_of_primes
Unproved conjecture in mathematics
zeta function and the Dirichlet L-series that is defined for a binary quadratic form. It is a special case of a Hasse–Weil L-function. The natural definition
Birch and Swinnerton-Dyer conjecture
Birch_and_Swinnerton-Dyer_conjecture
Decomposition of a number into a product
of multipliers. The algorithm uses the class group of positive binary quadratic forms of discriminant Δ denoted by GΔ. GΔ is the set of triples of integers
Integer_factorization
modification of the class number of positive definite binary quadratic forms of discriminant –N, where forms are weighted by 2/g for g the order of their automorphism
Hurwitz_class_number
Algorithm for generating prime numbers
Sundaram Sieve theory A.O.L. Atkin, D.J. Bernstein, Prime sieves using binary quadratic forms, Math. Comp. 73 (2004), 1023-1030.[1] "Sieve of Atkin". GeeksforGeeks
Sieve_of_Atkin
Solid with six equal square faces
center. Bhargava cube, a configuration to study the law of binary quadratic form and other such forms, of which the cube's vertices represent the integer Chazelle
Cube
Integer factorization algorithm
The quadratic sieve algorithm (QS) is an integer factorization algorithm and, in practice, the second-fastest method known (after the general number field
Quadratic_sieve
Prime number congruent to 1 mod 4
See in particular section 9, "Representations of Prime Numbers by Binary Quadratic Forms", p. 325. Chung, Fan R. K. (1997), Spectral Graph Theory, CBMS Regional
Pythagorean_prime
Type of mathematical curve
For, example, if d = n = 2 {\displaystyle d=n=2} (binary quadratic forms), the generic form is a x 2 + b x y + c y 2 {\displaystyle ax^{2}+bxy+cy^{2}}
Cubic_plane_curve
Type of linear error-correcting code
can be used to construct the extended binary Golay code. Quadratic residue code: Consider the set N of quadratic non-residues (mod 23). This is an 11-element
Binary_Golay_code
Branch of mathematics
Gauss introduced binary quadratic forms over the integers and defined their equivalence. He further defined the discriminant of these forms, which is an invariant
Abstract_algebra
Canadian-American mathematician (born 1974)
PhD thesis generalized Gauss's classical law for composition of binary quadratic forms to many other situations. One major use of his results is the parametrization
Manjul_Bhargava
Natural number
considered a prime number. In digital technology, 1 represents the "on" state in binary code, the foundation of computing. Philosophically, 1 symbolizes the ultimate
1
Group-like structure appearing in global fields
quadratic number fields when he was looking at cycles of reduced binary quadratic forms. Note that there is a close relation between reducing binary quadratic
Infrastructure (number theory)
Infrastructure_(number_theory)
Four basic unsolved problems about prime numbers
a straightforward manner to handle arbitrary positive definite binary quadratic forms over Z {\displaystyle \mathbb {Z} } ". Grimmelt & Merikoski, improving
Landau's_problems
Mathematical constant
In mathematical analysis and number theory, Somos' quadratic recurrence constant or simply Somos' constant is a constant defined as an expression of infinitely
Somos' quadratic recurrence constant
Somos'_quadratic_recurrence_constant
Algebraic structure
{\displaystyle g\cdot a=a} . Let M {\displaystyle M} be the set of binary quadratic forms f ( x , y ) = a x 2 + 2 b x y + c y 2 {\displaystyle f(x,y)=ax^{2}+2bxy+cy^{2}}
G-module
Algorithm for computing the greatest common divisor
Frandsen, Gudmund Skovbjerg (13–18 June 2004). Binary GCD Like Algorithms for Some Complex Quadratic Rings. Algorithmic Number Theory Symposium. Burlington
Binary_GCD_algorithm
1798 textbook by Carl Friedrich Gauss
proof of quadratic reciprocity; Section V, which takes up over half of the book, is a comprehensive analysis of binary and ternary quadratic forms. Section
Disquisitiones_Arithmeticae
Invariant of a quadratic form over a field of characteristic 2
In mathematics, the Arf invariant of a nonsingular quadratic form over a field of characteristic 2 was defined by Turkish mathematician Cahit Arf (1941)
Arf_invariant
Method for division with remainder
_{2}\varepsilon _{0}-1=2^{S}\log _{2}(1/\varepsilon _{0})-1} binary places. Typical values are: A quadratic initial estimate plus two iterations is accurate enough
Division_algorithm
group. 3. Class number is the number of equivalence classes of binary quadratic forms of a given discriminant. 4. The class number problem. conductor
Glossary_of_number_theory
Integer factorization algorithm
1994:189) "Daniel Shanks' Square Forms Factorization". 2004. CiteSeerX 10.1.1.107.9984. D. A. Buell (1989). Binary Quadratic Forms. Springer-Verlag. ISBN 0-387-97037-1
Shanks's square forms factorization
Shanks's_square_forms_factorization
German polymath and scholar (1777–1855)
law of quadratic reciprocity, and proved the triangular case of the Fermat polygonal number theorem. He also contributed to the theory of binary and ternary
Carl_Friedrich_Gauss
Natural number
X(∞) = 1 and X(0) = -1 with X(n) the quadratic residue symbol mod 23 for nonzero n. Through the extended binary Golay code B 24 {\displaystyle \mathbb
23_(number)
knapsack problem and the quadratic knapsack problem. Specifically, the 0–1 quadratic knapsack problem has the following form: maximize { ∑ i = 1 n p
Quadratic_knapsack_problem
Function with unusual fractal properties
quadratic irrational numbers to rational numbers on the unit interval, via an expression relating the continued fraction expansions of the quadratics
Minkowski's question-mark function
Minkowski's_question-mark_function
Topics referred to by the same term
Generic character (mathematics), a character on a class group of binary quadratic forms This disambiguation page lists articles associated with the title
Generic_character
reduction theory for binary quadratic forms, where he proved that every form is equivalent to a certain canonically chosen reduced form. Carl Friedrich Gauss
List of publications in mathematics
List_of_publications_in_mathematics
Measure for evaluating probabilistic forecasts
left is a graphical comparison of the Logarithmic, Quadratic, and Spherical scoring rules for a binary classification problem. The x-axis indicates the
Scoring_rule
Italian-French scientist (1736–1813)
developed a general theory of binary quadratic forms to handle the general problem of when an integer is representable by the form ax2 + by2 + cxy. He made
Joseph-Louis_Lagrange
Details of data storage in a spreadsheet application
accuracy that is even less due to five issues: round off, truncation, and binary storage, accumulation of the deviations of the operands in calculations
Numeric precision in Microsoft Excel
Numeric_precision_in_Microsoft_Excel
Integer side lengths of a right triangle
, 8 , 14 {\displaystyle a,b,c,d=3,5,8,14} and can be solved as binary quadratic forms. No Pythagorean triples are isosceles, because the ratio of the
Pythagorean_triple
Concept in mathematical invariant theory
of a binary form of degree 2n is a polynomial in its coefficients that vanishes when the binary form is a sum of at most n powers of linear forms (Sturmfels
Catalecticant
Potential counterexample to the generalized Riemann hypothesis
b,c)}{\frac {1}{a}},} where the summation runs over the reduced binary quadratic forms a x 2 + b x y + c y 2 {\textstyle ax^{2}+bxy+cy^{2}} of discriminant
Siegel_zero
Algebra based on a vector space with a quadratic form
a Clifford algebra is an algebra generated by a vector space with a quadratic form, and is a unital associative algebra with the additional structure of
Clifford_algebra
Swiss mathematician (1888–1977)
thesis, supervised by Landau, on the analytic number theory of binary quadratic forms. That same year, the University of Zurich awarded him habilitation
Paul_Bernays
Algorithm for integer multiplication
was the first multiplication algorithm asymptotically faster than the quadratic "grade school" algorithm. The Toom–Cook algorithm (1963) is a faster generalization
Karatsuba_algorithm
British-American mathematician
1993. Atkin, A. O. L. and Bernstein, D. J. Prime sieves using binary quadratic forms, Math. Comp. 73 (2004), 1023–1030.[1]. Atkin–Goldwasser–Kilian–Morain
A._O._L._Atkin
Product of a number by itself
generalised to quadratic forms in linear spaces via the inner product. The inertia tensor in mechanics is an example of a quadratic form. It demonstrates
Square_(algebra)
Largest integer that divides given integers
gives gcd(48, 18) = 6. The binary GCD algorithm is a variant of Euclid's algorithm that is specially adapted to the binary representation of the numbers
Greatest_common_divisor
Lattice in 8-dimensional space with special properties
2) is a positive definite even unimodular quadratic form in 8 variables, and conversely such a quadratic form can be used to construct a positive-definite
E8_lattice
American mathematician (1936–2020)
mathematics such as the fundamental theorem of algebra, the theory of binary quadratic forms, and the Riemann–Roch theorem can be handled in a constructivist
Harold Edwards (mathematician)
Harold_Edwards_(mathematician)
Estimate of time taken for running an algorithm
general-purpose sorts run in linear time, but the change from quadratic to sub-quadratic is of great practical importance. An algorithm is said to be of
Time_complexity
American mathematician
the dissertation "Representations of Discriminantal Divisors by Binary Quadratic Forms" under Gordon Pall. He joined Virginia Tech in 1969 becoming Assistant
Ezra_Brown
Exponentation in modular arithmetic
smallest counterexample is for a power of 15, when the binary method needs six multiplications. Instead, form x3 in two multiplications, then x6 by squaring x3
Modular_exponentiation
straightedge. Constructible numbers form a subfield of the field of algebraic numbers, and include the quadratic surds. Algebraic integer: A root of a
List_of_types_of_numbers
Natural number
binary trees with four labeled leaves, both of these being among the types of objects counted by double factorials. If a positive definite quadratic form
15_(number)
Primality test for numbers of a certain form
Proth number p = k2n + 1, particular forms of p, k, and n have been identified that correspond to predetermined quadratic nonresidue values that are appropriate
Proth's_theorem
Quantitative measurement of accuracy
Evaluation of a binary classifier typically assigns a numerical value, or values, to a classifier that represent its accuracy. An example is error rate
Evaluation of binary classifiers
Evaluation_of_binary_classifiers
Computer science data structure
a heap is the binary heap, in which the tree is a complete binary tree (see figure). The heap data structure, specifically the binary heap, was introduced
Heap_(data_structure)
Mathematical curves that are isomorphic over algebraic closures
algebraic geometry, an elliptic curve E over a field K has an associated quadratic twist, that is another elliptic curve which is isomorphic to E over an
Twists_of_elliptic_curves
Algorithm used in modular arithmetic
n {\displaystyle n} has a square root (i.e., n {\displaystyle n} is a quadratic residue) if and only if: n p − 1 2 ≡ 1 ( mod p ) {\displaystyle n^{\frac
Tonelli–Shanks_algorithm
American mathematician
(Varsity Software). 2000 A ternary algebra with applications to binary quadratic forms Council for African American Researchers in the Mathematical Sciences
Edray_Herber_Goins
Quantum search algorithm
satisfaction problems also see quadratic speedups with Grover. These algorithms do not require that the input be given in the form of an oracle, since Grover's
Grover's_algorithm
2010.172.2197. Sarnak, Peter (1982). "Class numbers of indefinite binary quadratic forms". J. Number Theory. 15 (2): 229–247. doi:10.1016/0022-314x(82)90028-2
Arithmetic_Fuchsian_group
is a quadratic residue modulo L , i ≠ 0 , 0 otherwise {\displaystyle A_{i}={\begin{cases}0&{\mbox{if }}i=0,\\1&{\mbox{if }}i{\mbox{ is a quadratic residue
Modified Uniformly Redundant Array
Modified_Uniformly_Redundant_Array
History of a branch of mathematics
investigations of composition of binary quadratic forms, Gauss explicitly stated the associative law for the composition of forms. In 1870, Leopold Kronecker
History_of_group_theory
24-dimensional repeating pattern of points
MR 0209983 O'Connor, R. E.; Pall, G. (1944), "The construction of integral quadratic forms of determinant 1", Duke Mathematical Journal, 11 (2): 319–331, doi:10
Leech_lattice
Factorization algorithm
can be understood as an improvement to the simpler rational sieve or quadratic sieve. When using such algorithms to factor a large number n, it is necessary
General_number_field_sieve
System of rapid mental calculation
1 p + 1 Quadratic sieve (QS) General number field sieve (GNFS) Special number field sieve (SNFS) Rational sieve Fermat's Shanks's square forms Trial division
Trachtenberg_system
Overview of and topical guide to algebraic structures
decomposition into subspaces or "grades". Quadratic space: a vector space V over a field F with a quadratic form on V taking values in F. Other special types
Outline of algebraic structures
Outline_of_algebraic_structures
Probabilistic primality test
subgroups of even index, it suffices to assume the validity of GRH for quadratic Dirichlet characters. The running time of the algorithm is, in the soft-O
Miller–Rabin_primality_test
Specific set of Hamiltonian quaternions with the same symmetry as the 600-cell
u + v if the quaternion norm is u + v√5. This Euclidean norm defines a quadratic form on L, under which the lattice is isomorphic to the E8 lattice. This
Icosian
Algorithm checking for prime numbers
prime. Here ordr(n) is the multiplicative order of n modulo r, log2 is the binary logarithm, and φ ( r ) {\displaystyle \varphi (r)} is Euler's totient function
AKS_primality_test
Ancient algorithm for generating prime numbers
original algorithm. This can be generalized with wheel factorization, forming the initial list only from numbers coprime with the first few primes and
Sieve_of_Eratosthenes
Worldwide computer-based distributed discussion system
but was "designed to work with much larger archives where the wonderful quadratic search time feature of the Unix ... becomes a real problem." Von Rospach
Usenet
Algorithm in computational number theory
is believed that r=1.618034 is a (slightly rounded) root to an unknown quadratic equation with integer coefficients, one may apply LLL reduction to the
Lenstra–Lenstra–Lovász lattice basis reduction algorithm
Lenstra–Lenstra–Lovász_lattice_basis_reduction_algorithm
Polynomial whose nonzero terms all have the same degree
form of degree 1 is a linear form. A form of degree 2 is a quadratic form. In geometry, the Euclidean distance is the square root of a quadratic form
Homogeneous_polynomial
Basic concepts of algebra
from the Latin quadrus, meaning square. In general, a quadratic equation can be expressed in the form a x 2 + b x + c = 0 {\displaystyle ax^{2}+bx+c=0}
Elementary_algebra
Mathematical model of financial markets
option value and the early exercise premium. With some assumptions, a quadratic equation that approximates the solution for the latter is then obtained
Black–Scholes_model
British mathematician (1826–1883)
preceding century upon the theory of congruences, and upon that of binary quadratic forms. He returns to the original sources, indicates the principle and
Henry_John_Stephen_Smith
Number
(c. 3rd or 2nd century BC), a Sanskrit prosody scholar, used binary sequences, in the form of short and long syllables (the latter equal in length to two
0
Canadian mathematician
Mathematical Society, 59 (1946), pp. 280–332 Discriminantal Divisors of Binary Quadratic Forms, Journal of Number Theory, Vol 1, Issue 4, October 1969, Pages 525-533
Gordon_Pall
Parameter in the Mandelbrot set
in the Mandelbrot set (the parameter space of complex quadratic maps) and also in real quadratic maps of the interval for which the critical point is strictly
Misiurewicz_point
BINARY QUADRATIC-FORM
BINARY QUADRATIC-FORM
Female
English
English pet form of German Belinda, possibly BINDY means "bright serpent" or "bright linden tree."
Male
Hindi/Indian
Variant spelling of Hindi Vijay, BIJAY means "victory."
Girl/Female
Hindu
Shore, Musical instrument, Goddess of wealth
Female
Turkish
Turkish name PINAR means "spring."
Surname or Lastname
English
English : variant spelling of Vickery.
Male
Hindi/Indian
(विनय) Hindi name VINAY means "leading asunder."
Boy/Male
American, Australian, French, German, Greek, Latin, Polish, Swedish
Cheerful; Happy; Joyful; Similar to Hilary
Girl/Female
British, English, Spanish
Form of Bianca; White; Blessed
Male
English
English unisex form of Latin Hilarius and Hilaria, HILARY means "joyful; happy."Â Originally, this was strictly a masculine name.
Girl/Female
Indian
Modesty
Boy/Male
Indian, Punjabi, Sikh
Blessing
Boy/Male
Indian
An intimate particle of the God of heaven
Female
Hebrew
Variant spelling of Hebrew Bina, BINAH means "intelligence, wisdom."Â
Surname or Lastname
English (chiefly South Yorkshire)
English (chiefly South Yorkshire) : topographic name for someone who lived on land enclosed by a bend in a river, from Old English binnan ēa ‘within the river’, or a habitational name from places in Kent called Binney and Binny, which have this origin.Scottish : habitational name from Binney or Binniehill near Falkirk, named in Gaelic as Beinnach, from beinn ‘hill’ + the locative suffix -ach.
Male
Scandinavian
Scandinavian form of Old Norse Einarr, EINAR means "lone warrior."
Girl/Female
Indian
(the wife of Sage Kashyap)
Girl/Female
English
Originally a diminutive used for names ending in -bina, like Albina, Columbina, and Robina, now...
Boy/Male
Latin
Happy; Cheerful.
Girl/Female
Hindu
Shore, Musical instrument, Goddess of wealth
Female
Hebrew
(×‘Ö¼Ö´×™× Ö¸×”) Hebrew name BINA means "intelligence, wisdom."Â
BINARY QUADRATIC-FORM
BINARY QUADRATIC-FORM
Girl/Female
Hindu
Goddess Saraswati, Indras second wife
Biblical
smelling sweet
Boy/Male
Arabic
Those have Right
Girl/Female
Indian, Kannada
Moon
Boy/Male
American, Australian, Dutch, Greek
Wise; Best; Pet Form of Theodore
Boy/Male
Muslim
Praise
Boy/Male
Hindu, Indian
Diamond; Lord of Gold; Divine Glory; Person who is Praised
Male
Egyptian
, a priest of Amen Ra.
Surname or Lastname
English
English : variant of Willard.German : variant of Willhardt (see Willert).
Girl/Female
Hindu, Indian, Marathi
Fulfillment of Wish
BINARY QUADRATIC-FORM
BINARY QUADRATIC-FORM
BINARY QUADRATIC-FORM
BINARY QUADRATIC-FORM
BINARY QUADRATIC-FORM
imp. & p. p.
of Quadrate
a.
Containing ten; tenfold; proceeding by tens; as, the denary, or decimal, scale.
a.
Of or pertaining to the Canary Islands; as, canary wine; canary birds.
a.
Of or pertaining to the urine; as, the urinary bladder; urinary excretions.
n.
A biquadratic equation.
a.
Relating or belonging to bile; conveying bile; as, biliary acids; biliary ducts.
v. i.
To perform the canary dance; to move nimbly; to caper.
n.
A curve made use of in the quadrature of other curves; as the quadratrix, of Dinostratus, or of Tschirnhausen.
n.
A canary bird.
n.
See Finery.
a.
The quadrate bone.
n.
Wine made in the Canary Islands; sack.
a.
Pertaining to terms of the second degree; as, a quadratic equation, in which the highest power of the unknown quantity is a square.
a.
Of a pale yellowish color; as, Canary stone.
a.
lasting for one day; as, a diary fever.
n.
That branch of algebra which treats of quadratic equations.
n.
A pale yellow color, like that of a canary bird.
n.
A binary compound of silicon, or one regarded as binary.
p. pr. & vb. n.
of Quadrate
a.
Of or pertaining to a square, or to squares; resembling a quadrate, or square; square.