And so, here are four functions to demonstrate it. The default resolution of the plotting routine is crude, leading to #Aliasing and so the mesh has to be refined somewhat.

Here are three #ConicSections and one #Trigonometric functions.

An #Ellipse
A #Parabola.
A #Hyperbola.
A rotating #Tangent function.

#MyWork #CCBYSA #Maxima #Mathematics #Geometry #FreeSoftware

appears to be an uncanny fit (orange) to 400 measured values (blue) using 16 sinusoidal frequencies! this time it's grant work, not contract work, so i will be able to explain this in more detail eventually... for now, it's just a work in progress that looks cool :)

#dataScience #dataAnalysis #spectralAnalysis #leastSquares #OLS #sinusoidal #trigonometric #regression #modeling #statistical

Procedural landscape generation:

#threejs #mathbox #trigonometric #functions

As for #trigonometric functions #Abel could show that these new functions satisfied addition theorems in agreement with what #Euler had previously found from such integrals