; This is a line comment. User input is given in bold. ; 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. display ; The display command by itself displays the current equation again. ; 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. b ; Solve for variable "b". ; 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. ; ******************************************************************** a=b+1/b ; Enter another equation; this is actually a quadratic equation. 0 ; Solve for zero. unfactor ; Show that this is a quadratic polynomial equation in "b". solve verify b ; Solve for variable "b", verifying the result. a ; Solve back for "a" and we should get the original equation. simplify ; The simplify command makes expressions simpler and prettier. ; ******************************************************************** ; Mathomatic is also handy as an advanced calculator. ; Expressions without variables entered at the main prompt are instantly evaluated: 2+3 2^.5 ; The square root of 2, rounded to the default 14 digits: e^(pi*i)+1 ; Euler's identity is made of the most important universal constants. ; ******************************************************************** ; Symbolic logarithms like log(x) are currently not implemented in Mathomatic. 27^y=9 ; An example that uses numerical logarithms. solve verify y ; Solve for y, verifying the result. ; ******************************************************************** 0=2x^2-3x-20 ; A simple quadratic equation, to show how the calculate command works. solve verify x ; Solve for x, plugging the result into the original equation to verify. calculate ; Expand "sign" variables and approximate the RHS (Right Hand Side). ; The calculate command also allows you to plug values into a formula. display; Show that nothing is modified by the calculate command.