# Category:MathObject Classes

## MathObject Classes

The MathObjects library defines a number of object classes for various mathematical concepts, such as real numbers, complex numbers, intervals, vectors, points, and so on. To use these objects in a problem you are writing, include MathObjects.pl in your loadMacros() call. For example:

   loadMacros(
"PGstandard.pl",
"MathObjects.pl",
"PGcourse.pl",
);


Once this is done, there are several ways to create MathObjects in your problem:

• By calling a constructor function for the type of object you want (e.g., Real(3.5) or Complex("3+4i"))
• By calling Compute() to parse a string and return the resulting object (e.g., Compute("3+4i"))
• By calling a method of an existing MathObject that returns another object (e.g., Formula("sin(x)")->eval(x => pi/2))
• By combining existing MathObjects via mathematical operations (e.g., $x = Formula("x");$f = $x**2 + 2*$x + 1)

The links in the next section include examples of how to create and use each MathObject class.

### The Main MathObject Classes

The following links describe the various classes in more detail:

• Real -- implements real numbers
• Infinity -- implements infinity and negative infinity
• Complex -- implements complex numbers
• Point -- implements points in $${\bf R}^n$$ and $${\bf C}^n$$
• Vector -- implements vectors in $${\bf R}^n$$ and $${\bf C}^n$$
• Matrix -- implements matrices over the real and complex numbers
• List -- implements lists of arbitrary MathObjects
• Interval -- implements intervals of real numbers
• Set -- implements finite sets of real numbers
• Union -- implements unions of intervals or sets
• String -- implements special words like NONE and DNE
• Formula -- implements expressions involving one or more variables

### Other Classes

The pg/macros directory contains a number of extensions to MathObjects, including files that define specialized MathObject types. The ones that begin with parser typically define a new object class. For example, parserParametricLine.pl defines a constructor ParametricLine() for creating a special object that checks if a student's answer is a given parametric line or not, even if it is parameterized differently. These files usually contain documentation within them; see the POD documentation for versions that you can read on line.

## Subcategories

This category has only the following subcategory.

## Pages in category "MathObject Classes"

The following 13 pages are in this category, out of 13 total.