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## Curves and Interpolation | Extreme Optimization Numerical Libraries for .NET Professional |

For our purposes, a curve is a possibly curved line showing a relationship between two factors. Corresponding to every value of the variable x we have a value y = f(x ). In programming terms, this is similar to a method that takes one Double argument and returns a Double.

Curves are also known as functions. However, because the word function is a reserved word in many languages, including Visual Basic .NET, we chose the term Curve to represent functions. In the documentation, both curve and function may be used.

The **Extreme Optimization Numerical Libraries for .NET** has a simple and intuitive object model for working
with curves. You can easily create the most common types of curves, find zeros and calculate derivatives. The
**Extreme Optimization Numerical Libraries for .NET** currently supports polynomials, Chebyshev
series, piecewise curves including several types of cubic splines, and a wide variety of nonlinear curves.

In addition, the **Extreme Optimization Numerical Libraries for .NET** implements the notion of a function
basis. A function basis is a set of functions that can be combined to form a particular class of functions or curves.
An example of a function basis is the set of monomial functions 1, x, x^{2},
x^{3}, which can be combined to form all polynomials up to degree 3. Function bases have
applications in least squares problems and interpolation.

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