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...
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Quadratic programming (QP) is the process of solving certain mathematical optimization problems involving quadratic functions. Specifically, one seeks...
22 KB (1,910 words) - 19:14, 13 August 2024
algebra, the quadratic formula is a closed-form expression describing the solutions of a quadratic equation. Other ways of solving quadratic equations,...
34 KB (5,654 words) - 19:04, 21 July 2024
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...
33 KB (4,554 words) - 17:42, 31 May 2024
Quadric (redirect from Quadratic surface)
two solutions. There are generalizations of quadrics: quadratic sets. A quadratic set is a set of points of a projective space with the same geometric...
41 KB (7,405 words) - 16:10, 6 June 2024
quadratic polynomial is a polynomial of degree two in one or more variables. A quadratic function is the polynomial function defined by a quadratic polynomial...
17 KB (2,936 words) - 12:43, 25 May 2024
quadratic irrational number (also known as a quadratic irrational or quadratic surd) is an irrational number that is the solution to some quadratic equation...
11 KB (1,627 words) - 22:45, 17 March 2024
theory, a quadratic field is an algebraic number field of degree two over Q {\displaystyle \mathbf {Q} } , the rational numbers. Every such quadratic field...
11 KB (1,288 words) - 16:20, 27 September 2023
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...
52 KB (6,460 words) - 10:28, 9 August 2024
system dynamics are described by a set of linear differential equations and the cost is described by a quadratic function is called the LQ problem. One...
13 KB (2,064 words) - 14:14, 8 July 2024
some complex quadratic maps. A map is a formula for computing a value of a variable based on its own previous value or values; a quadratic map is one that...
16 KB (3,026 words) - 12:27, 30 April 2022
theory, the law of quadratic reciprocity is a theorem about modular arithmetic that gives conditions for the solvability of quadratic equations modulo prime...
111 KB (8,553 words) - 16:55, 24 June 2024
analog of an oval in a projective plane. An ovoid is a special type of a quadratic set. Ovoids play an essential role in constructing examples of Möbius planes...
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New York, Benoit Mandelbrot first visualized the set. Mandelbrot studied the parameter space of quadratic polynomials in an article that appeared in 1980...
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In number theory, an integer q is called a quadratic residue modulo n if it is congruent to a perfect square modulo n; i.e., if there exists an integer...
54 KB (5,557 words) - 19:40, 15 May 2024
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...
28 KB (4,936 words) - 19:57, 21 March 2024
quadratically constrained quadratic program (QCQP) is an optimization problem in which both the objective function and the constraints are quadratic functions...
6 KB (674 words) - 13:03, 28 July 2024
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...
9 KB (1,159 words) - 13:31, 9 July 2024
A complex quadratic polynomial is a quadratic polynomial whose coefficients and variable are complex numbers. Quadratic polynomials have the following...
21 KB (2,947 words) - 13:45, 12 June 2024
in terms of quadratic inequalities, hence the name. The formal definition of the quadratic assignment problem is as follows: Given two sets, P ("facilities")...
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range of problems in a single computation. For example, the quadratic formula solves any quadratic equation by substituting the numeric values of the coefficients...
21 KB (2,883 words) - 14:10, 15 November 2023
Discriminant (redirect from Discriminant of a quadratic form)
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...
41 KB (6,702 words) - 16:47, 18 August 2024
Mandelbrot set. The parameter plane of quadratic polynomials – that is, the plane of possible c values – gives rise to the famous Mandelbrot set. Indeed...
37 KB (5,700 words) - 19:33, 1 July 2024
Euler's criterion (redirect from Euler's quadratic residue theorem)
Euler's criterion is a formula for determining whether an integer is a quadratic residue modulo a prime. Precisely, Let p be an odd prime and a be an integer...
11 KB (1,756 words) - 10:54, 18 May 2024
Newtonian mechanics, the dynamics of a system of quadratic degrees of freedom are controlled by a set of homogeneous linear differential equations with...
17 KB (2,318 words) - 00:20, 20 October 2023
Conic section (redirect from Quadratic curve)
plane algebraic curve of degree 2; that is, as the set of points whose coordinates satisfy a quadratic equation in two variables which can be written in...
69 KB (9,173 words) - 01:09, 4 March 2024
described as active-set methods include: Successive linear programming (SLP) Sequential quadratic programming (SQP) Sequential linear-quadratic programming (SLQP)...
5 KB (528 words) - 21:43, 15 May 2024
In statistics, a quadratic classifier is a statistical classifier that uses a quadratic decision surface to separate measurements of two or more classes...
6 KB (869 words) - 04:44, 31 July 2024
Quadratic voting is a rated voting method procedure where voters express the degree of their preferences. By doing so, quadratic voting seeks to address...
28 KB (3,574 words) - 01:44, 2 July 2024
a linear program (LP) used to determine an active set, followed by an equality-constrained quadratic program (EQP) used to compute the total step This...
3 KB (621 words) - 23:43, 5 June 2023