matho - a computer algebra system with functions

**rmath** and **matho** are shell scripts that allow you
to use Mathomatic with input of functions like
**sin***(x)* and **sqrt***(x)* automatically
expanded to equivalent algebraic expressions by the **m4**
macro preprocessor. A matching pair of parentheses is required
around the parameters for all functions in m4 Mathomatic; m4
requires this. **rmath** also runs the **rlwrap** readline
wrapper utility if available, to provide readline input editing
support similar to that provided by **mathomatic**(1) .

**rmath** and **matho** define and enable named math
functions in Mathomatic. Most functions enabled here should be
real number, complex number, and symbolically capable. One
exception is the **abs***(x)* function, which
doesn’t work with complex numbers, because it is defined in
Mathomatic as (((x)^2)^.5).

The following general functions are defined when using
**rmath** or **matho:** **sqrt***(x),*
**cbrt***(x),* **exp***(x),*
**pow***(x,y),* **abs***(x),*
**sgn***(x),* **factorial***(x),*
**gamma***(x),* **floor***(x),*
**ceil***(x),* **int***(x),* and
**round***(x).*

The following standard trigonometric functions are defined:
**sin***(x),* **cos***(x),* **tan***(x),*
**cot***(x),* **sec***(x),* and
**csc***(x).* **sinc***(x)* is the normalized
sinc function, defined as
**sin***(pi*x)***/(pi*x)***.*

The following standard hyperbolic trigonometric functions are
defined: **sinh***(x),* **cosh***(x),*
**tanh***(x),* **coth***(x),*
**sech***(x),* and **csch***(x).*

The following universal constants are defined: *pi,*
*e,* *i* (the imaginary unit), *euler* (the
Euler-Mascheroni constant), *omega,* and *phi* (the
golden ratio).

Mathomatic is best run from within a terminal emulator. It uses console line input and output for the user interface. First you type in your mathematical equations in standard algebraic notation, then you can solve them by typing in the variable name at the prompt, or perform operations on them with simple English commands. Type "help" or "?" for the help command, "help examples" to get started. If the command name is longer than 4 letters, you only need to type in the first 4 letters. Most commands operate on the current equation by default.

Complete documentation is available in HTML and PDF formats; see the local documentation directory or online at "http://mathomatic.org/math/doc/ " for the latest Mathomatic documentation.

**~/.mathomaticrc**- Optional startup file containing Mathomatic set command options. It should be a text file with one or more set options per line. For example, the line "no color" will make Mathomatic default to non-color mode, which is useful if you aren’t using a supported color device.