# Dictionary Definition

quadratic adj

1 of or relating to or resembling a square;
"quadratic shapes"

2 of or relating to the second power; "quadratic
equation"

### Noun

1 an equation in which the highest power of an
unknown quantity is a square [syn: quadratic
equation]

2 a polynomial of the second degree [syn:
quadratic
polynomial]

# User Contributed Dictionary

## English

### Adjective

- of a polynomial, involving the second power (square) of a variable but no higher powers, as ax^2 + bx + c.
- of an equation, of the form ax^2 + bx + c = 0.
- of a function, of the form y = ax^2 + bx + c .

#### Translations

of a class of polynomial of the form y = a.x^2 +
b.x + c

- Dutch: kwadratisch
- Finnish: neliöllinen, kvadraattinen
- French: quadratique m|f
- German: quadratisch
- Greek: τετραγωνικός τετραγωνική τετραγωνικό
- Italian: quadratico , quadratica
- Swedish: kvadratisk, andragrads-, andragradspolynom

### Noun

- A quadratic polynomial, function or equation.

### Related terms

# Extensive Definition

In mathematics, the term quadratic describes
something that pertains to squares,
to the operation of squaring, to terms of the
second degree,
or equations or formulas that involve such terms. Quadratus is
Latin for
square.

## Mathematics

### Algebra (elementary and abstract)

- Quadratic equation, a polynomial equation of degree 2 and its roots
- Quadratic function, a polynomial function of degree 2 and its roots
- Quadratic polynomial, a polynomial (in possibly more than one variable) that contains terms of the second degree, whose coefficients are real or complex numbers.
- Quadratic field, a quadratic field is an algebraic number field K of degree two over Q
- Quadratic irrational or "quadratic surd", an irrational number that is a root of a quadratic polynomial

### Calculus

- Quadratic integral, the integral of the reciprocal of a second-degree polynomial

### Statistics and stochastics

- Quadratic form (statistics), scalar quantity ε'Λε for a n-dimensional square matrix
- Quadratic mean, the square root of the mean of the squares of the data
- Quadratic variation, in stochastics, useful for the analysis of Brownian motion and martingales

### Number theory

- Quadratic reciprocity, a theorem from number theory
- Quadratic residue, an integer that is a square modulo n
- Quadratic sieve, a modern integer factorization algorithm

### Other

- Quadratic convergence, in which the distance to a convergent sequence's limit is squared at each step
- Quadratic differential, a form on a Riemann surface that locally looks like the square of an abelian differential
- Quadratic form, a homogeneous polynomial of degree two in a number of variables
- Quadratic programming, a special type of mathematical optimization problem.
- Quadratic growth, an asymptotic growth rate proportional to a quadratic function
- Periodic points of complex quadratic mappings, a type of graph that can be used to explore stability in control systems

## Computer science

- Quadratic probing, a scheme in computer programming for resolving collisions in hash tables.
- Quadratic classifier, used in machine learning to separate measurements of two or more classes of objects

## Other

- Quadratic (Position), a sexual position.
- Quadratic (collection), a 1953 collection of science fiction novels by Olaf Stapledon and Murray Leinster