matho - Online in the Cloud

PROGRAM:

NAME

rmath - a computer algebra system with functions and readline
matho - a computer algebra system with functions

SYNOPSIS

rmath [ input_files ]
matho [ input_files ]

DESCRIPTION

Mathomatic is a general-purpose computer algebra system (CAS) that can symbolically solve,
simplify, combine, and compare algebraic equations, perform standard, complex number,
modular, and polynomial arithmetic, etc. It does some calculus and handles all elementary
algebra, except logarithms. Plotting expressions with gnuplot is also supported.

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).

GENERAL

Text files may be specified on the shell command line that will be automatically read in
through the m4 preprocessor into Mathomatic. After any files are read in, Mathomatic
prompts for input from the console.

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.

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