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1993 Canadian TV series or program
Quadratics is a six-part Canadian instructional television series produced by TVOntario in 1993. The miniseries is part of the Concepts in Mathematics
Quadratics
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
Polynomial equation of degree two
In mathematics, a quadratic equation (from Latin quadratus 'square') is an equation that can be rearranged in standard form as a x 2 + b x + c = 0 , {\displaystyle
Quadratic_equation
Topics referred to by the same term
Look up quadratic in Wiktionary, the free dictionary. In mathematics, the term quadratic describes something that pertains to squares, to the operation
Quadratic
Algebraic structure in mathematics
mathematics, a quadratic algebra is an algebra over a ring for which the algebra extends the ring by a new element that satisfies a monic, quadratic polynomial
Quadratic_algebra
Optimization problem in mathematics
quadratically constrained quadratic program (QCQP) is an optimization problem in which both the objective function and the constraints are quadratic functions
Quadratically constrained quadratic program
Quadratically_constrained_quadratic_program
Theory extending Einstein gravity
Quadratic gravity (QG) is an extension of general relativity obtained by adding all local quadratic-in-curvature terms to the Einstein–Hilbert Lagrangian
Quadratic_gravity
Field (mathematics) generated by the square root of an integer
theory, a quadratic field is an algebraic number field of degree two over Q {\displaystyle \mathbf {Q} } , the rational numbers. Every such quadratic field
Quadratic_field
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
Quadratic_form
Gives conditions for the solvability of quadratic equations modulo prime numbers
theory, the law of quadratic reciprocity is a theorem about modular arithmetic that gives conditions for the solvability of quadratic equations modulo prime
Quadratic_reciprocity
Quantity defined for a stochastic process
mathematics, quadratic variation is used in the analysis of stochastic processes such as Brownian motion and other martingales. Quadratic variation is
Quadratic_variation
In mathematics, a quadratic differential on a Riemann surface is a section of the symmetric square of the holomorphic cotangent bundle. If the section
Quadratic_differential
Mathematical proportionality to a square
said to exhibit quadratic growth when its values are proportional to the square of the function argument or sequence position. "Quadratic growth" often
Quadratic_growth
Solving an optimization problem with a quadratic objective function
Quadratic programming (QP) is the process of solving certain mathematical optimization problems involving quadratic functions. Specifically, one seeks
Quadratic_programming
Polynomial function of degree two
In mathematics, a quadratic function of a single variable is a function of the form f ( x ) = a x 2 + b x + c {\displaystyle f(x)=ax^{2}+bx+c} with
Quadratic_function
Integer that is a perfect square modulo some integer
Binary Quadratics", Journal of Computer and System Sciences, 16 (2): 168–184, doi:10.1016/0022-0000(78)90044-2. Weisstein, Eric W. "Quadratic Residue"
Quadratic_residue
Linear optimal control technique
by a quadratic function is called the LQ problem. One of the main results in the theory is that the solution is provided by the linear–quadratic regulator
Linear–quadratic_regulator
Address collision resolution scheme
Quadratic probing is an open addressing scheme in computer programming for resolving hash collisions in hash tables. Quadratic probing operates by taking
Quadratic_probing
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
Collective decision-making procedure
Quadratic voting (QV) is a voting system that encourages voters to express their true relative intensity of preference (utility) between multiple options
Quadratic_voting
Root of a quadratic polynomial with a unit leading coefficient
number theory, quadratic integers are a generalization of the usual integers to quadratic fields. A complex number is called a quadratic integer if it
Quadratic_integer
Type of homogeneous polynomial of degree 2
In mathematics, a definite quadratic form is a quadratic form over some real vector space V that has the same sign (always positive or always negative)
Definite_quadratic_form
Polynomial function of degree 4
factored into two quadratics, and choosing positive or negative values of u for the square root of U merely exchanges the two quadratics with one another
Quartic_function
Mathematical concept
mathematics, specifically the theory of quadratic forms, an ε-quadratic form is a generalization of quadratic forms to skew-symmetric settings and to
Ε-quadratic_form
Statistical classifier in machine learning
In statistics, a quadratic classifier is a statistical classifier that uses a quadratic decision surface to separate measurements of two or more classes
Quadratic_classifier
Sum type in number theory
In number theory, quadratic Gauss sums are certain finite sums of roots of unity. A quadratic Gauss sum can be interpreted as a linear combination of
Quadratic_Gauss_sum
Topics referred to by the same term
In mathematics, a quadratic transformation may be A quadratic transformation in the Cremona group Kummer's quadratic transformation of the hypergeometric
Quadratic_transformation
Field of asymmetric cryptographic primitives
field. If the polynomials have degree two, we talk about multivariate quadratics. Solving systems of multivariate polynomial equations is proven to be
Multivariate_cryptography
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
quadratic Jordan algebras are a generalization of Jordan algebras introduced by Kevin McCrimmon (1966). The fundamental identities of the quadratic representation
Quadratic_Jordan_algebra
Statistical distance measure
The Mahalanobis distance is a measure of the distance between a point P {\displaystyle P} and a probability distribution D {\displaystyle D} , introduced
Mahalanobis_distance
Linear optimal control technique
In control theory, the linear–quadratic–Gaussian (LQG) control problem is one of the most fundamental optimal control problems, and it can also be operated
Linear–quadratic–Gaussian control
Linear–quadratic–Gaussian_control
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
numbers is quadratically closed; more generally, any algebraically closed field is quadratically closed. The field of real numbers is not quadratically closed
Quadratically_closed_field
Function whose squared absolute value has finite integral
In mathematics, a square-integrable function, also called a quadratically integrable function or L 2 {\displaystyle L^{2}} function or square-summable
Square-integrable_function
Portrayal of sexual subject matter
Jennifer A. (2018). "Personal Pornography Viewing and Sexual Satisfaction: A Quadratic Analysis". Journal of Sex & Marital Therapy. 44 (3): 308–315. doi:10.1080/0092623X
Pornography
Measure of variation in statistics
_{i=1}^{N}\left(x_{i}-{\bar {x}}\right)^{2}}},} The error in this approximation decays quadratically (as 1/N2), and it is suited for all but the smallest samples or highest
Standard_deviation
In number theory, the law of quadratic reciprocity, like the Pythagorean theorem, has lent itself to an unusually large number of proofs. Several hundred
Proofs of quadratic reciprocity
Proofs_of_quadratic_reciprocity
Listing all imaginary quadratic fields with a given class number
problem (for imaginary quadratic fields), as usually understood, is to provide for each n ≥ 1 a complete list of imaginary quadratic fields Q ( d ) {\displaystyle
Class_number_problem
Field of mathematics and science based on non-linear systems and initial conditions
showed that, at least for dissipative and conservative quadratic systems, three-dimensional quadratic systems with only three or four terms on the right-hand
Chaos_theory
Curve from a cone intersecting a plane
A conic section, conic or a quadratic curve is a curve obtained from a cone's surface intersecting a plane. The three types of conic section are the hyperbola
Conic_section
Encoding for text messages
The tap code, sometimes called the knock code, is a way to encode text messages on a letter-by-letter basis in a very simple way. The message is transmitted
Tap_code
Two geometries based on axioms closely related to those specifying Euclidean geometry
postulate with an alternative, or consideration of quadratic forms other than the definite quadratic forms associated with metric geometry. In the former
Non-Euclidean_geometry
Problem in computational number theory
The quadratic residuosity problem (QRP) in computational number theory is to decide, given integers a {\displaystyle a} and N {\displaystyle N} , whether
Quadratic_residuosity_problem
The quadratic knapsack problem (QKP), first introduced in 19th century, is an extension of knapsack problem that allows for quadratic terms in the objective
Quadratic_knapsack_problem
Mathematical relation assigning a probability event to a cost
regression theory, which is based on the quadratic loss function. The quadratic loss function is also used in linear-quadratic optimal control problems. In these
Loss_function
Method for solving quadratic equations
Society Feature Column, 2020. Hughes, Barnabas. "Completing the Square - Quadratics Using Addition". Math Association of America. Retrieved 2022-10-21. Narasimhan
Completing_the_square
1995 computer graphics card
out for its use of quadratic texture mapping, a departure from the triangular primitives favored by competitors. The use of quadratics made it possible
NV1
Indian mathematician and astronomer (598–668)
also credited with the first clear description of the quadratic formula (the solution of the quadratic equation) in his main work, the Brāhma-sphuṭa-siddhānta
Brahmagupta
Product of a number by itself
be used in place of x2. The adjective which corresponds to squaring is quadratic. The square of an integer may also be called a square number or a perfect
Square_(algebra)
Function in number theory
defined as ( a p ) = { 1 if a is a quadratic residue modulo p and a ≢ 0 ( mod p ) , − 1 if a is a quadratic nonresidue modulo p , 0 if a ≡ 0 (
Legendre_symbol
In mathematics, the quadratic eigenvalue problem (QEP), is to find scalar eigenvalues λ {\displaystyle \lambda } , left eigenvectors y {\displaystyle
Quadratic_eigenvalue_problem
In mathematics, a quadratic set is a set of points in a projective space that bears the same essential incidence properties as a quadric (conic section
Quadratic_set
Optimization algorithm
Sequential quadratic programming (SQP) is an iterative method for constrained nonlinear optimization, also known as Lagrange-Newton method. SQP methods
Sequential quadratic programming
Sequential_quadratic_programming
Method of solving equations
In numerical analysis, inverse quadratic interpolation is a root-finding algorithm, meaning that it is an algorithm for solving equations of the form
Inverse quadratic interpolation
Inverse_quadratic_interpolation
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
Function of the coefficients of a polynomial that gives information on its roots
factoring, number theory, and algebraic geometry. The discriminant of the quadratic polynomial a x 2 + b x + c {\displaystyle ax^{2}+bx+c} is b 2 − 4 a c
Discriminant
Probability distribution
{ab}{a+b}}(y-z)^{2}} This equation rewrites the sum of two quadratics in x by expanding the squares, grouping the terms in x, and completing
Normal_distribution
Root-finding algorithm
algorithm combining the bisection method, the secant method and inverse quadratic interpolation. It has the reliability of bisection but it can be as quick
Brent's_method
Length in a vector space
In those cases the norm is a definite quadratic form. In the split algebras the norm is an isotropic quadratic form. For any norm p : X → R {\displaystyle
Norm_(mathematics)
Circle associated with a quadratic equation
associated with a quadratic equation; it is named after Thomas Carlyle. The circle has the property that the solutions of the quadratic equation are the
Carlyle_circle
Type of algebras, possibly non associative
necessarily associative algebra over K together with a nondegenerate quadratic form N that satisfies N ( x y ) = N ( x ) N ( y ) {\displaystyle N(xy)=N(x)N(y)}
Composition_algebra
Independent parameter describing the state of a physical system
It is often useful to specify quadratic degrees of freedom. These are degrees of freedom that contribute in a quadratic function to the energy of the
Degrees of freedom (physics and chemistry)
Degrees_of_freedom_(physics_and_chemistry)
Quadratic polynomial
A complex quadratic polynomial is a quadratic polynomial whose coefficients and variable are complex numbers. Quadratic polynomials have the following
Complex_quadratic_polynomial
System of medieval musical notation
A neume (/njuːm/; sometimes spelled neum) is the basic element of Western and some Eastern systems of musical notation prior to the invention of five-line
Neume
Country in East Asia
approximate to the round shape of a ger. Further enlargement led to a quadratic shape of the temples. The roofs were made in the shape of marquées. The
Mongolia
American mathematician
previously independently developed in: Savage, John (1989). "Factoring Quadratics". The Mathematics Teacher. 82 (1): 35–36. doi:10.5951/MT.82.1.0035. JSTOR 27966090
Po-Shen_Loh
Reals with an extra square root of +1 adjoined
= x 2 − y 2 , {\displaystyle N(z):=zz^{*}=x^{2}-y^{2},} an isotropic quadratic form. The collection D of all split-complex numbers z = x + y j {\displaystyle
Split-complex_number
Mathematical concept
quadratic irrational number (also known as a quadratic irrational or quadratic surd) is an irrational number that is the solution to some quadratic equation
Quadratic_irrational_number
Visualization of the prime numbers
prominent lines is not unexpected, as lines in the spiral correspond to quadratic polynomials, and certain such polynomials, such as Euler's prime-generating
Ulam_spiral
In forestry, quadratic mean diameter or QMD is a measure of central tendency which is considered more appropriate than arithmetic mean for characterizing
Quadratic_mean_diameter
Mathematical function defined piecewise by polynomials
type. (Note: while the polynomial piece 2t is not quadratic, the result is still called a quadratic spline. This demonstrates that the degree of a spline
Spline_(mathematics)
Curve used in computer graphics and related fields
Pn, where n is called the order of the curve (n = 1 for linear, 2 for quadratic, 3 for cubic, etc.). The first and last control points are always the
Bézier_curve
Mathematical concept
genus 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
Genus_of_a_quadratic_form
Number divisible only by 1 and itself
values of quadratic polynomials with integer coefficients in terms of the logarithmic integral and the polynomial coefficients. No quadratic polynomial
Prime_number
Polynomial equation whose integer solutions are sought
general theories of Diophantine equations, beyond the case of linear and quadratic equations, was an achievement of the twentieth century. However, Hilbert's
Diophantine_equation
Procedure to solve equations of second degree
In mathematics, a quadratic equation is a polynomial equation of the second degree. The general form is a x 2 + b x + c = 0 , {\displaystyle ax^{2}+bx+c=0
Solving quadratic equations with continued fractions
Solving_quadratic_equations_with_continued_fractions
Number, approximately 3.14
transcendental, it is by definition not algebraic and so cannot be a quadratic irrational. Therefore, π cannot have a periodic continued fraction. Although
Pi
German polymath and scholar (1777–1855)
made numerous contributions, such as the composition law, the law of quadratic reciprocity, and proved the triangular case of the Fermat polygonal number
Carl_Friedrich_Gauss
Denial-of-service attack at XML parsers, exploiting entity expansion
can take an exponential amount of space or time. The quadratic blowup variation causes quadratic growth in resource requirements by simply repeating a
Billion_laughs_attack
Quadratic form related to curvatures of surfaces
differential geometry, the second fundamental form (or shape tensor) is a quadratic form on the tangent plane of a smooth surface in the three-dimensional
Second_fundamental_form
Statement about cubic curves in the projective plane
two quadratics intersect in four points, which (assuming the quadratics are irreducible so no three points are collinear) are in general quadratic position
Cayley–Bacharach_theorem
Basic concepts of algebra
be quadratic but linear). Because of this a quadratic equation must contain the term a x 2 {\displaystyle ax^{2}} , which is known as the quadratic term
Elementary_algebra
Locus of the zeros of a polynomial of degree two
quadrics have dimension two, and are known as quadric surfaces. Their quadratic equations have the form m x x x 2 + m y y y 2 + m z z z 2 + 2 m x y x
Quadric
In mathematics, a quadratic integral is an integral of the form ∫ d x a + b x + c x 2 . {\displaystyle \int {\frac {dx}{a+bx+cx^{2}}}.} It can be evaluated
Quadratic_integral
Optimization solver
(LP), quadratic programming (QP), quadratically constrained programming (QCP), mixed integer linear programming (MILP), mixed-integer quadratic programming
Gurobi_Optimizer
Mathematics used in ancient Mesopotamia
from 1800 to 1600 BC, and cover topics that include fractions, algebra, quadratic and cubic equations and the Pythagorean theorem. The Babylonian tablet
Babylonian_mathematics
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
Clifford_algebra
Convex optimization problem
the SOCP is equivalent to a convex quadratically constrained linear program. Convex quadratically constrained quadratic programs can also be formulated as
Second-order_cone_programming
when it is pointing toward Earth, making the object appear to pulse. quadratic field strength A method of computing the mean strength of a varying stellar
Glossary_of_astronomy
Quadratic form for which there is a non-zero vector on which the form evaluates to zero
In mathematics, a quadratic form over a field F is said to be isotropic if there is a non-zero vector on which the form evaluates to zero; otherwise,
Isotropic_quadratic_form
Quantum mechanical model
The quantum harmonic oscillator is the quantum-mechanical analog of the classical harmonic oscillator. Because an arbitrary smooth potential can usually
Quantum_harmonic_oscillator
Quantum search algorithm
require exponentially many steps, and Grover's algorithm provides at most a quadratic speedup over the classical solution for unstructured search, this suggests
Grover's_algorithm
Natural number
{\displaystyle 7} ; this sum represents the largest square-free integer over a quadratic field of class number two, where 163 is the largest such (Heegner) number
21_(number)
Natural number
arithmetic Chinese remainder theorem Arithmetic functions Advanced concepts Quadratic forms Modular forms L-functions Diophantine equations Diophantine approximation
1
Function defined by a hypergeometric series
then there is a quadratic transformation of the hypergeometric function, connecting it to a different value of z related by a quadratic equation. The first
Hypergeometric_function
Primary time standard globally used to regulate clocks and time
sun's movements relative to civil time, with the difference increasing quadratically with time (i.e., proportional to elapsed centuries squared). This is
Coordinated_Universal_Time
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
Natural number
This is an example of a galactic algorithm. 1729 can be expressed as the quadratic form. Investigating pairs of its distinct integer values that represent
1729_(number)
of the form K = Q(√d), for a square-free integer d. K is called real quadratic if d > 0. K has class number 1 for the following values of d (sequence
List of number fields with class number one
List_of_number_fields_with_class_number_one
QUADRATICS
QUADRATICS
QUADRATICS
QUADRATICS
Boy/Male
Hindu, Indian, Traditional
Shiva
Boy/Male
Hindu, Indian, Marathi
Dear Princess
Boy/Male
Arabic, Muslim
Name of a Fatimid Caliph
Boy/Male
Latin Russian
Victorious.
Boy/Male
Muslim
Story
Girl/Female
Bengali, Hindu, Indian, Kannada, Malayalam, Marathi, Tamil, Telugu
After the Rain
Male
Yiddish
(פַייבֶעל) Yiddish form of Latin Phoebus, FEIVEL means "shining one."
Boy/Male
English
British place name.
Boy/Male
Arabic, Australian
Truthful
Girl/Female
Hindu
Victory of the queen
QUADRATICS
QUADRATICS
QUADRATICS
QUADRATICS
QUADRATICS
n.
That branch of algebra which treats of quadratic equations.