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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...

Doing  More
With Less
Triangle Series Digital Sinewaves and code
Older Low End Digital Sinewaves and code
Horrific abuse of setdash demo and code
And thousands more horrific ( see #19 )
Simply Marbelous Stacked Pancakes
Fractal Fern demo and code
The very first Avuncular Sleezoid
Avuncular Sleezoids demo #1 and code
Avuncular Sleezoids demo #2 and code
Meowwrrr Puss De Resistance demo and code
The ultimate bagel demo and code
Poison Ivy in a Spray Can demo and code
Spherical Transforms demo and code
Rope a Dope demo and code
Fat Tail Arrows demo and code
Scribbling for fun and Profit demo and code
2D Perspective Cube demo and code
Gauss Jordan Stability

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.

Current  Magic
Sinewave  Library
Main Magic Sinewave Library
Latest "4BQ" Magic Sinewave Calculator
Next Previous Magic Sinewave Calculator
Required JavaScript Companion Script
Magic Sinewave Slide Show
Three Phase MS Slide Show
Executive Guide to Magic Sinewaves
Recent Developments in Magic Sinewaves
The Saga of the Dripping Stalactite
Magic Sinewave Intro Tutorial
Log Amplitude Distribution Tutorial
Preliminary Raspberry PI Sourcecode

Main  Math Stuff
Active Filter Cookbook
 Cubic spline image interpolation
Constant Cubic Spline Spacing demo and code
Simplified Fourier Series demo and origin
"N connect" Triangle Series demo and code
Vector-to-Step Conversion
Classic Math Stuff Library
Fundamental Factors of Technical Innovation
Fun With Fields and More Fun With Fields
Nonlinear Graphic Transforms
PostScript Flutterwumpers
Sierpinski Triangles and demo
Fibonacci's Sunflowers
Faster Bubble Sort (!)
Saga of the Magic Lamp and Bogus Paper

Older  or  Lesser
Math  Stuff
Using Cubic Splines
Steplocked Magic Sinewaves
Sierpinski Triangles and demo
PostScript Flutterwumper Tools and Demo
Smith Charts
The Secret 300 DPI Gray Map
300 DPI Halftone Spot Patterns
Special Effect Random Screen
Two Point 3D Perspective Lettering
Mitzi's Yuppy Fare and Demo
Make-a-Sticker Variations
Throw a Log on the Fire
Arcto Crowding
Root beer Transform
Serendipitous Borders
Insertion Sort
Another Setdash Abuse
Web and CSS Friendly Colors

PostScript  Related
Introduction to PostScript video
PostScript Language Reference Manual
Gonzo PostScipt Utilities
Gonzo PostScript Tutorial
PostScript Show and Tell
PostScript Secrets
PostScript Beginner Projects
PostScript Beginner Projects Links
Full Guru's Lair File Directory
PostScript .psl Guru's Lair File Directory
Architect's Perspective Correction
Auto Vignetting Backgrounder
Perspective and Backgrounder Examples
Logfile Analyzer Code ( and log demo )
Fun with Fields and More Fun with Fields
Bitmap Typewriter
Web Friendly PostScript & CSS Colors
Nonlinear Graphics
Partial Older .psl files needing rework
Empty Development Shell ( and demo )
Master Font Name List
Hundreds of Imageproc examples
Array to Image Conversion ( and demo )
Extending PS Numeric Accuracy ( and demo )
PS Imaging Editing Tools ( and demo )
PostScript Heap Sort ( and demo )
PS Post Document Editing ( and tutorial )
PS Post Document Tools ( and tutorial )
PS Pixel Interpolation Utilities ( and tutorial )
False Color and Rainbows ( and tutorial )
PostScript Proc Diversion ( and tutorial )
PostScript Pico Justification
PS Strings Integers Arrays Dicts ( and tutorial )
Disk Tool Utilities



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