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In mathematics, a quadratic function of a single variable is a function of the form [1] = + +,,where is its variable, and , , and are coefficients.The expression + + , especially when treated as an object in itself rather than as a function, is a quadratic polynomial, a polynomial of degree two.
A polynomial with two indeterminates is called a bivariate polynomial. [7] ... For quadratic equations, the quadratic formula provides such expressions of the solutions.
Bivariate analysis is one of the simplest forms of quantitative (statistical) analysis. [1] It involves the analysis of two variables (often denoted as X , Y ), for the purpose of determining the empirical relationship between them.
The process of interpolation maps the function f to a polynomial p. This defines a mapping X from the space C([a, b]) of all continuous functions on [a, b] to itself. The map X is linear and it is a projection on the subspace () of polynomials of degree n or less.
A graph of the bivariate convex function x 2 + xy + y 2. ... Intuitively, a strongly-convex function is a function that grows as fast as a quadratic function. [11]
For example, a degree two polynomial in two variables, such as + +, is called a "binary quadratic": binary due to two variables, quadratic due to degree two. [ a ] There are also names for the number of terms, which are also based on Latin distributive numbers, ending in -nomial ; the common ones are monomial , binomial , and (less commonly ...
Graph of a linear function Graph of a polynomial function, here a quadratic function. Graph of two trigonometric functions: sine and cosine. A real function is a real-valued function of a real variable, that is, a function whose codomain is the field of real numbers and whose domain is a set of real numbers that contains an interval.
Bivariate function, a function of two variables; Bivariate polynomial, a polynomial of two indeterminates; Statistics. Bivariate data, that shows the relationship ...