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...
6 KB (936 words) - 05:56, 28 July 2017
algebra, the quadratic formula is a closed-form expression describing the solutions of a quadratic equation. Other ways of solving quadratic equations,...
35 KB (5,766 words) - 18:14, 27 September 2024
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
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 (4,566 words) - 03:12, 28 September 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) - 00:21, 24 September 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
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 (6,541 words) - 12:37, 28 September 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
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 (3,563 words) - 04:25, 13 September 2024
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 (8,556 words) - 14:19, 23 September 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...
12 KB (1,306 words) - 09:53, 29 September 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 (2,102 words) - 23:27, 30 August 2024
New York, Benoit Mandelbrot first visualized the set. Mandelbrot studied the parameter space of quadratic polynomials in an article that appeared in 1980...
59 KB (7,727 words) - 07:47, 19 September 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...
10 KB (1,520 words) - 23:15, 4 January 2021
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
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
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
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
in terms of quadratic inequalities, hence the name. The formal definition of the quadratic assignment problem is as follows: Given two sets, P ("facilities")...
5 KB (773 words) - 20:27, 18 August 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
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) - 17:03, 25 September 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
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) - 08:39, 31 August 2024
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...
10 KB (1,765 words) - 08:50, 24 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 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
In number theory, quadratic integers are a generalization of the usual integers to quadratic fields. Quadratic integers are algebraic integers of degree...
21 KB (2,684 words) - 13:59, 18 March 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
Loss function (redirect from Quadratic loss function)
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...
21 KB (2,796 words) - 05:57, 15 September 2024