Don Lancaster's Math Stuff Library

Please note that the Guru's Lair is best used with larger display systems. Especially for our many free ebooks, classic .pdf files and high detail images. Our calculators are best used with "real" keyboards.

If the truth be known, I failed a trig course in high school and had to retake it in dummies summer school.

It was only much later that I became super interested in and eventually somewhat competent in most math anything. First driven by some really great teachers at Lafayette and then from the ultra heavy math demanded by my aerospace work.

Later on, the superb general purpose PostScript language made "throw another million calculations at it" my mantra.

My earliest math publications were the classified Goodyear AEEM's, ( Arizona Electronic Engineering Memorandum ) which I have yet to scan and republish to our website.

Of the zillions of my math stuff projects over the years, the real biggies were the Active Filter Cookbook and my Magic Sinewaves, particularly the latter's calculator. Yet incompletely explored are the stunning Marbelous Pancakes that we adopted from several third parties.

At this writing, the latest venture involves some ultra compact and astonishingly high performance digital sinewaves for low end microcomputers. Find sourcecode here and a supplemental log file here..

And here is our sampler of the rest of the math gang...

Lower frequency Magic Sinewaves are repeating very long sequences of ones and zeros. They can get created from ordinary but extremely carefully chosen and delivered digitally switched pulses.

The key feature of of magic sinewaves is they let you force any desired number of low harmonics precisely to zero in theory and to astonishingly low levels in practice.

While allowing you to do so at the highest possible efficiency. By using the fewest possible number of switching events.

Compared to traditional PWM, magic sinewaves can offer moderately higher efficiencies and significantly reduced low harmonic distortions. With circuitry that is elegantly simple and microcontroller friendly.

For use in such applications as induction motor speed controls, electric autos, solar panels, power factor correction, inverters, home energy
efficiency improvers, 400 Hz avionics, UPS, PFC, and specialized utilities.

Much more in our Magic Sinewave Library.

Many classic reprints can be found here. And free eBooks here.

The older full width version of this file can be found here.

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