In algebra, a quadratic equation (from Latin quadratus 'square') is any equation that can be rearranged in standard form as a x 2 + b x + c = 0 , {\displaystyle... 51 KB (6,559 words) - 16:25, 29 April 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) - 16:37, 30 April 2024 |
Quadratic programming (QP) is the process of solving certain mathematical optimization problems involving quadratic functions. Specifically, one seeks... 22 KB (1,902 words) - 04:08, 8 April 2024 |
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... 13 KB (2,027 words) - 21:12, 2 January 2024 |
for square. Quadratic function (or quadratic polynomial), a polynomial function that contains terms of at most second degree Complex quadratic polynomials... 3 KB (431 words) - 11:46, 3 April 2024 |
a quadratic expression. Completing the square is used in solving quadratic equations, deriving the quadratic formula, graphing quadratic functions, evaluating... 19 KB (3,392 words) - 13:36, 26 April 2024 |
include constant functions, linear functions and quadratic functions. Rational functions are quotients of two polynomial functions, and their domain... 75 KB (11,220 words) - 03:46, 24 April 2024 |
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 system... 17 KB (2,318 words) - 00:20, 20 October 2023 |
Parabola (section Conic section and quadratic form) another plane that is tangential to the conical surface. The graph of a quadratic function y = a x 2 + b x + c {\displaystyle y=ax^{2}+bx+c} (with a ≠ 0 {\displaystyle... 80 KB (13,361 words) - 14:01, 12 March 2024 |
Weierstrass transform. Gaussian functions arise by composing the exponential function with a concave quadratic function: f ( x ) = exp ( α x 2 + β x... 30 KB (4,945 words) - 20:35, 22 March 2024 |
Quadratic probing is an open addressing scheme in computer programming for resolving hash collisions in hash tables. Quadratic probing operates by taking... 6 KB (884 words) - 01:08, 28 November 2023 |
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) - 00:15, 26 January 2024 |
Legendre symbol (redirect from Quadratic residue symbol) multiplicative function with values 1, −1, 0 that is a quadratic character modulo of an odd prime number p: its value at a (nonzero) quadratic residue mod p... 43 KB (2,221 words) - 13:00, 17 April 2024 |
logarithm of earnings is modelled as the sum of years of education and a quadratic function of "years of potential experience". ln w = f ( s , x ) = ln w... 4 KB (480 words) - 22:43, 12 May 2023 |
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 (4,548 words) - 02:40, 19 December 2023 |
Second derivative (category Functions and mappings) second derivative is related to the best quadratic approximation for a function f. This is the quadratic function whose first and second derivatives are... 15 KB (2,013 words) - 20:23, 29 April 2024 |
Square (algebra) (redirect from Square function) function. The dot product of a Euclidean vector with itself is equal to the square of its length: v⋅v = v2. This is further generalised to quadratic forms... 15 KB (1,988 words) - 04:46, 4 February 2024 |
Normal distribution (redirect from Normal density function) +Y_{m}^{2}\right)/m}}\sim F_{n,m}.} A quadratic form of a normal vector, i.e. a quadratic function q = ∑ x i 2 + ∑ x j + c {\textstyle q=\sum x_{i}^{2}+\sum... 141 KB (22,328 words) - 17:33, 11 April 2024 |
Natural exponential family (section Natural exponential families with quadratic variance functions (NEF-QVF)) subset of NEF, called NEF with quadratic variance function (NEF-QVF) because the variance can be written as a quadratic function of the mean. NEF-QVF are discussed... 14 KB (1,995 words) - 20:14, 9 April 2024 |
generalizes the conjugate gradient method to nonlinear optimization. For a quadratic function f ( x ) {\displaystyle \displaystyle f(x)} f ( x ) = ‖ A x − b ‖ 2... 7 KB (1,211 words) - 14:35, 5 April 2024 |
Mathematical optimization (redirect from Energy function) difficult than regular linear programming. Quadratic programming allows the objective function to have quadratic terms, while the feasible set must be specified... 51 KB (5,896 words) - 05:00, 26 April 2024 |
constructing Lyapunov functions for ODEs, in many specific cases the construction of Lyapunov functions is known. For instance, quadratic functions suffice for... 7 KB (1,083 words) - 15:27, 2 February 2024 |
straight line. Quadratic function: Second degree polynomial, graph is a parabola. Cubic function: Third degree polynomial. Quartic function: Fourth degree... 10 KB (1,069 words) - 02:50, 26 April 2024 |
mathematics, a function or sequence is said to exhibit quadratic growth when its values are proportional to the square of the function argument or sequence... 4 KB (505 words) - 07:54, 25 November 2023 |