NMath User's Guide

Chapter 2. The Core Namespace (.NET, C#, CSharp, Visual Basic, VB.NET)

The CenterSpace.NMath.Core namespace is the foundational NMath namespace. It provides:

• Single- and double-precision complex number classes.
• Full-featured vector and matrix classes for four datatypes: single- and double-precision floating point numbers, and single- and double-precision complex numbers.
• Flexible indexing using slices and ranges.
• Overloaded arithmetic operators with their conventional meanings for those .NET languages that support them, and equivalent named methods (Add(), Subtract(), and so on) for those that do not.
• Extension of standard mathematical functions, such as Cos(), Sqrt(), and Exp(), to work with vectors, matrices, and complex number classes.
• LU factorization for a matrix, as well as functions for solving linear systems, computing determinants, inverses, and condition numbers.
• Least Squares solutions.
• Random number generation from various probability distributions.
• Fast Fourier Transforms (FFTs), and linear convolution and correlation.
• Classes for encapsulating functions of one variable, with support for numerical integration (Romberg and Gauss-Kronrod methods), differentiation (Ridders' method), and algebraic manipulation of functions.
• Polynomial encapsulation, interpolation, and exact differentiation and integration.
• Data filtering, including a moving average filter and a Savitzky-Golay smoothing filter.

To avoid using fully qualified names, preface your code with an appropriate namespace statement. For example, in C#:

using CenterSpace.NMath.Core;

In Visual Basic.NET:

imports CenterSpace.NMath.Core

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