Get started: Sample mathematics
Type Help MathFunctions
for an extensive list of built-in mathematical functions.
By default, the imaginary number is named imaginary.
To instead define i as
√-1,
and do math with complex numbers, type
Note: Use a symbol of your choice (such as i, j, abc) e.g., as SetImaginaryNumber( abc )
SetImaginaryNumber( i )
someNumber = sin(pi/2) + abs(-3) + sqrt(i) + exp(i*t)
-> someNumber = 4.707107 + 0.7071068*i + cos(t) + i*sin(t)
Use the Expand command to eliminate parentheses, e.g.,
p = Expand( (1+t) * (2+t) * (3+t^2) )
-> p = 6 + 9*t + t^4 + 3*t^3 + 5*t^2
To evaluate p at
t = 2.3, issue the command
p23 = Evaluate( p, t = 2.3 )
-> p23 = 117.6351
To determine the ordinary time-derivative of p, type
pDt = Dt( p )
-> pDt = 9 + 10*t + 4*t^3 + 9*t^2
pDt is a 3rd-order polynomial in t.
Its 3 roots are calculated with
roots = GetCubicRoots( pDt = 0, t )
-> roots = [-1.5704; -0.3398 - 1.1477*i; -0.3398 + 1.1477*i]
To save commands (for subsequent re-use) or commands/responses, type
Save MGMathExampleA.txt % Save commands.
Save MGMathExampleA.html % Save commands and responses.
Exit the program by typing Quit.
| Various other mathematical commands | |
| Command file | MGMathExampleB.txt |
| Output responses | MGMathExampleB.html |
MotionGenesis™ also does vector algebra,
matrix algebra
and solves sets of linear equations or
nonlinear equations, and
ODEs (ordinary differential equations).