• Thumbnail for Quadratic function
    In mathematics, a quadratic function of a single variable is a function of the form f ( x ) = a x 2 + b x + c , a ≠ 0 , {\displaystyle f(x)=ax^{2}+bx+c...
    16 KB (2,880 words) - 19:32, 11 October 2024
  • solutions of the equation, and roots or zeros of the quadratic function on its left-hand side. A quadratic equation has at most two solutions. If there is...
    53 KB (6,632 words) - 01:05, 7 November 2024
  • Thumbnail for 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
  • 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
  • Thumbnail for Quadratic formula
    algebra, the quadratic formula is a closed-form expression describing the solutions of a quadratic equation. Other ways of solving quadratic equations,...
    35 KB (5,783 words) - 20:49, 13 November 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 (2,102 words) - 23:27, 30 August 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
  • Thumbnail for Quartic function
    quartic function is a cubic function. Sometimes the term biquadratic is used instead of quartic, but, usually, biquadratic function refers to a quadratic function...
    43 KB (6,849 words) - 04:03, 14 November 2024
  • Thumbnail for Cubic function
    solutions are called roots of the function. The derivative of a cubic function is a quadratic function. A cubic function with real coefficients has either...
    12 KB (1,746 words) - 20:04, 30 September 2024
  • Thumbnail for Convex function
    number), a quadratic function c x 2 {\displaystyle cx^{2}} ( c {\displaystyle c} as a nonnegative real number) and an exponential function c e x {\displaystyle...
    35 KB (5,852 words) - 07:11, 5 September 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
  • include constant functions, linear functions and quadratic functions. Rational functions are quotients of two polynomial functions, and their domain...
    75 KB (11,317 words) - 17:39, 12 October 2024
  • also used for graphing quadratic functions, deriving the quadratic formula, and more generally in computations involving quadratic polynomials, for example...
    21 KB (3,686 words) - 19:00, 27 October 2024
  • Thumbnail for Parabola
    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) - 12:08, 22 October 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) - 12:04, 25 October 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 (2,348 words) - 13:06, 23 October 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 (4,946 words) - 12:09, 25 September 2024
  • quadratically constrained quadratic program (QCQP) is an optimization problem in which both the objective function and the constraints are quadratic functions...
    7 KB (748 words) - 23:34, 14 November 2024
  • square-integrable function, also called a quadratically integrable function or L 2 {\displaystyle L^{2}} function or square-summable function, is a real- or...
    6 KB (888 words) - 19:40, 16 January 2024
  • straight line. Quadratic function: Second degree polynomial, graph is a parabola. Cubic function: Third degree polynomial. Quartic function: Fourth degree...
    10 KB (1,065 words) - 20:52, 29 October 2024
  • 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 (2,394 words) - 11:51, 27 July 2024
  • Thumbnail for Piecewise function
    mathematics, a piecewise function (also called a piecewise-defined function, a hybrid function, or a function defined by cases) is a function whose domain is partitioned...
    9 KB (897 words) - 04:59, 16 November 2024
  • Thumbnail for U-quadratic distribution
    and statistics, the U-quadratic distribution is a continuous probability distribution defined by a unique convex quadratic function with lower limit a and...
    3 KB (300 words) - 18:47, 25 June 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 (1,085 words) - 14:27, 29 July 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...
    12 KB (1,690 words) - 03:22, 3 November 2024
  • Thumbnail for Square (algebra)
    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) - 07:48, 23 August 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
  • 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 (508 words) - 07:54, 25 November 2023
  • Thumbnail for Normal distribution
    +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...
    150 KB (22,488 words) - 10:20, 16 November 2024
  • known as quadratic functions or specially multiplicative functions. Euler's function φ ( n ) {\displaystyle \varphi (n)} is a totient function, and the...
    19 KB (3,427 words) - 04:04, 15 November 2024