Contents

Chapter 1. Introduction

1.1 Product Features

1.2 Software Requirements

1.3 Namespaces

1.4 Documentation

This Manual

1.5 Technical Support

Chapter 2. Complex Number Types

2.1 Creating Complex Numbers

Creating Complex Numbers from Numeric Values

Creating Complex Numbers from Strings

Implicit Conversion

2.2 Value Operations on Complex Numbers

2.3 Logical Operations on Complex Numbers

2.4 Arithmetic Operations on Complex Numbers

2.5 Functions of Complex Numbers

Conjugate, Norm, and Argument

Trigonometric Functions

Transcendental Functions

Absolute Value and Square Root

Chapter 3. Viewing Data

3.1 DataBlock Classes

Class Names

Data Block Properties

Accessing the Underlying Data

3.2 Slices and Ranges

Creating Slices and Ranges

Creating Abstract Subsets

Modifying Ranges and Slices

Chapter 4. Vector Classes

4.1 Class Names

4.2 Creating Vectors

Creating Vectors from Numeric Values

Creating Vectors from Strings

Implicit Conversion

Copying Vectors

New Vector Views

4.3 Value Operations on Vectors

Accessing and Modifying Vector Values

Resizing a Vector

Appending to a Vector

4.4 Logical Operations on Vectors

4.5 Arithmetic Operations on Vectors

4.6 Functions of Vectors

Rounding Functions

Sums, Differences, and Products

Min/Max Functions

Statistical Functions

Trigonometric Functions

Transcendental Functions

Absolute Value and Square Root

Sorting Functions

Complex Vector Functions

4.7 Generic Functions

4.8 Vector Enumeration

Chapter 5. Matrix Classes

5.1 Class Names

5.2 Creating Matrices

Creating Matrices from Numeric Values

Creating Matrices from Strings

Implicit Conversion

Copying Matrices

Matrix Views

5.3 Value Operations on Matrices

Accessing and Modifying Matrix Values

Resizing a Matrix

5.4 Logical Operations on Matrices

5.5 Arithmetic Operations on Matrices

5.6 Vector Views

Row and Column Views

Diagonal Views

Arbitrary Slices

5.7 Functions of Matrices

Matrix Transposition

Matrix Norms

Matrix Inner Products

Rounding Functions

Sums and Differences

Min/Max Functions

Statistical Functions

Trigonometric Functions

Transcendental Functions

Absolute Value and Square Root

Sorting Functions

Complex Matrix Functions

5.8 Generic Functions

Applying Elementwise Functions

Applying Columnwise Functions

5.9 Matrix Enumeration

Chapter 6. Solutions of Linear Systems

6.1 Class Names

6.2 Creating LU Factorizations

6.3 Using LU Factorizations

Component Matrices

Solving for Right-Hand Sides

Computing Inverses, Determinants, and Condition Numbers

6.4 Static Methods

Chapter 7. Least Squares

7.1 Class Names

7.2 Creating Least Squares Solutions

7.3 Using Least Squares Solutions

Chapter 8. Random Number Generators

8.1 Distributions

Uniform Distribution

Normal Distribution

Triangular Distribution

Poisson Distribution

Exponential Distribution

Gamma Distribution

Binomial Distribution

Log-Normal Distribution

Pareto Distribution

8.2 Underlying Uniform Generators

8.3 Generating Random Numbers

8.4 Random Seeds

Chapter 9. Histograms

9.1 Creating Histograms

9.2 Adding Data to Histograms

9.3 Value Operations of Histograms

9.4 Displaying Histograms

Chapter 10. Calculus

10.1 Encapsulating Functions

Creating a Function of One Variable

Properties of Functions

Evaluating Functions

Algebraic Manipulation of Functions

10.2 Numerical Integration

Computing Integrals

Romberg Integration

Gauss-Kronrod Integration

10.3 Differentiation

10.4 Polynomials

Creating Polynomials

Properties of Polynomials

Evaluating Polynomials

Algebraic Manipulation of Polynomials

Integration

Differentiation

10.5 Function Interpolation

Cubic Spline Interpolation

Creating Your Own Interpolation Classes

Chapter 11. Serialization

11.1 Binary Serialization

11.2 SOAP Serialization

11.3 XML Serialization

Chapter 12. Database Integration

12.1 Creating ADO.NET Objects from Vectors and Matrices

12.2 Creating Vector and Matrices from ADO.NET Objects

Chapter 13. Error Handling

13.1 Exception Types

Index

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