
; This is a line comment.  This file shows some simple examples of Mathomatic usage.

; Equations are entered by just typing them in:
c^2=a^2+b^2 ; The Pythagorean theorem, "c" squared equals "a" squared plus "b" squared.
; The entered equation becomes the current equation and is displayed.
; The current equation can be solved by simply typing in a variable name:
c ; which is shorthand for the solve command.  Solve for variable "c".
; "sign" variables are special two-valued variables that may only be +1 or -1.
solve for b ; Another way to solve for a variable, using English.
; To output programming language code, use the code command:
code ; C language code is the default.

code java ; Mathomatic can also generate Java

code python ; and Python code.

repeat echo *
a=b+1/b ; Enter another equation; this is actually a quadratic equation.
0 ; Solve for zero.
unfactor ; Expand, showing that this is a quadratic polynomial equation in "b".
solve verifiable b ; Require solution verification with the "verifiable" option.
a ; Solve back for "a" and we should get the original equation.
simplify ; The simplify command makes expressions simpler and prettier.
repeat echo *
; Mathomatic is also handy as an advanced calculator.
; Expressions without variables entered at the main prompt are instantly evaluated:
2+3
495/44 ; Fractions are always reduced to their simplest form:
; Fractions greater than 1 can easily be displayed as mixed fractions.
display mixed ; Display above fraction as a mixed fraction:
display factor ; Integers and fractions are easily factored:
2^.5 ; The square root of 2, rounded to the default 14 digits:

repeat echo *
; Symbolic logarithms like log(x) are not implemented, yet.
27^y=9 ; An example that uses numeric logarithms.
solve verifiable y ; Require solution verification with the "verifiable" option.

repeat echo *
0=2x^2-3x-20 ; A simple quadratic equation, to show how the calculate command works.
solve verifiable x ; Solve for x, plugging the results into the original equation to verify.
calculate ; Expand "sign" variables and approximate the RHS (Right-Hand Side).
; The calculate command also lets you plug values into a formula with variables, if any.
display; Display the current equation, showing that it was not modified by calculate.
