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This library shelf holds tutorials and utilities on fundamental and
applied mathematics.
Included are such topics as Fourier Series, linear algebraic
equations, nonlinear graphic transforms, chain codes, digital
filters, halftone techniques, vectors and similar subjects.
Primarily by authors Don Lancaster or Jim Fitzsimons.
Note that additional math topics also appear in the Wavelets, the
Cubic Spline, and our Magic Sinewave library pages.
Most library files require an Adobe Acrobat 4.0 plug in for online
viewing. Offline, these may be accessed by an Acrobat Reader or
an eBook Reader or any other .PDF accepting program.
| Featured "Must Read" File: | . |
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| The Saga of the Dripping Stalactites STALAC.PDF #35 Celebrating the beauty of applied mathematics, first through a catalog of our more obscure "fun with long strings of numbers" topics and then by way of the Magic Sinewave timeline history. |
Click here for the Magic Sinewave library.
Click here for a Magic Sinewave intro.
Click for a Magic Sinewave development proposal.
Click here to Order MSD-28X chips & source code.
| Tutorials: | . |
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| Pixel Interpolation Algorithms PIXINTPL.PDF #83 A review of popular pixel interpolation schemes including Bilinear, Nearest Neighbor, Bilinear with lookup, Modified 3x3, and Bicubic. Includes detailed bicubic math derivation. . |
Click here for the Pixel Interpolation utility.
Click here for the Pixel Interpolation demo..
Click here for the PostScript library.
Click here for the GuruGram 83 source code.
Click here to Contact the Author directly.
| Drawing a circle through 3 points CIRC3PTS.PSL Brief Don Lancaster tutorial and PostScript demo of drawing a circle through three points. Finding the slope at the midpoint leads to less tedious improved curvetracing routines. |
Click here for the CIRC3PTS.PDF demo.
Click here for new CURVETR2.PSL sourcecode.
Click here fornew CURVETR2.PDF demo.
| Fitting 3 points to a quadratic curve PARAFIT.PSL Brief Don Lancaster tutorial and PostScript demo of fitting three data points to a parabola and quickly finding the x and y values of the minimum. For curve fitting and minimization. |
Click here for Custom Research assistance.
| Vector-to-step conversion tutorial VECTSTEP.PDF Introduction and tutorial shows how to convert slanty lines into stepper steps or screen pixels. Basic conversion. Breshenham's method. Table lookup. Adding dimensions. Cardinal moves. |
Click here for Banner Advertsing opportunities.
| Binomial Goes Binary ONESWORD.HTML A PostScript utility to generate all possible binary words of length "n" having "k" ones in them. Use for magic sinewaves & exploration. of the binomial theorm. Requires two way recordable com. |
Click here for energy efficient Magic Sinewaves.
| Binary Chain Code Intro CHAIN01.HTML A Don Lancaster tutorial and Jim Fitzsimons math program that explores binary chain codes,. Unique self-positioning sequences. Includes BASIC listing and chain codes for order 2 through 16. |
Click here for Cubic Spline tutorials.
| Tech Musings #107 MUSE107.PDF SX laser printer repairs, linear phase digital filters, home theater opportunities and resources , debunking some technomyths, improved access to government surplus electronics. |
Click here for more Tech Musings columns.
| Tech Musings #102 MUSE102.PDF A "colorizer" for PostScript; Using bionomial coefficients; Laser printer repair resources; magnetic field intensity paper; HP 5SiMX Book-on-demand printer, more. |
Click here to view our Bargain Pages.
|
PS 4x4 Linear Equation Solver LINEQ04.PSL
Tutorial and test demo solves n=4 linear algebraic equations by first using Gaussian Elimination followed by back substitution. This can easily be extended to other orders. |
Click here for additional Gauss-Jordan theory.
| Fun With Fields FUNFIELD.PDF #39 Using PostScript to quickly solve advanced field problems with astonishingly simple math. Gradients, Equipotentials, Laplacians. |
Click here for the FUNFIELD.PSL source code.
Click here for the FIELDS01.PDF field generator.
Click here for the FIELDS01.PDF field frmo.
Click here to reach the GuruGram library.
Click here to reach the PostScript library.
Click here for additional Consulting services.
Click here to Contact the Author directly.
| Tech Musings #148 MUSE148.PDF Algae hydrogen source. Applying Taylor Series. Surplus and auction update. Lithium polymer batteries. Understanding nonlinearity. Some Battery books. Cave radio site, Maxim chargers, more... |
Click here for Patent Avoidance info.
| Tech Musings #152 MUSE152.PDF Fundamentals of power and energy. 52 LED's from one port! Shuffling alogrithms and pitfalls. Multi-banner auto rotator. Thermodynamic Books. n-connectedness math. |
Click here for Live Auction bargains.
| Linear Equation Solver LINEAREQ.PS A group of PostScript utilities and demos that use determinants to solve high order linear algebraic equations. Explicit examples shown to 10x10. Includes linear phase digital filter design examples. |
Click for Auctions & Surplus library page.
| Tech Musings #151 MUSE151.PDF Radio Shack Wireless Humidity Data Format. Exergy and energy quality. JavaScript Bouncy Buttons. Chebycheff polynomonials. Fluxgate & magnetometry books. Plastics suppliers. More.. |
Click for our Pseudoscience Bashing library page.
| Tech Musings #106 MUSE106.PDF Secrets of math determinants, Power generation efficiencies, Solving larger linear equations, induction heating fundamentals, new BOD Book-on-demand binding opportunities. |
Click here for Product Development tutorials.
| Bezier curve through four points BEZ4PTS.PDF Jim Fitzsimmons TEX tutorial shows how to fit a Bezier curve through two end points and two intermediate points, all of which are on the desired cubic polynomial curve. |
Click for the PostScript Sourcecode utility.
| Tech Musings #148 MUSE148.PDF Algae hydrogen source. Applying Taylor Series. Surplus and auction update. Lithium polymer batteries. Understanding nonlinearity. Battery books. Cave radio site, Maxim chargers, more... |
Click here for Custom Research assistance.
| Tech Musings #105 MUSE105.PDF H-P 5SiMx laser printer hard drive interface, new video and audio chips, navigation resources update, understanding digital filters, triple tri-sample building blocks, linear phase techniques. |
Click here to view our Bargain Pages.
| Secrets of Nonlinear Graphics Transformations From Circuit Cellar for August of 1995. Reviews both linear and nonlinear transforms such as Isometric, Perspective, Tuna Can, Star Wars, Root Beer, Spherical , Glyph Path, and Scribble. |
Click here for more Circuit Cellar tutorials.
| A nonlinear "Tuna Can" transform TUNACAN.HTML Tutorial on a quick and dirty Tuna Can transform that lets you wrap lettering around a tilted can or cylinder. Also an example of how to use Don's Gonzo utilities and Acrobat as PostScript interpreter. |
Click here for Patent Avoidance info.
| Hyperbolic Cubic Spline Fitting HYSPLINE.PDF Don Lancaster Acrobat tutorial shows the steps involved in approximating a 1/x hyperbola with a pair of cubic splines, done to exceptional accuracy. |
Click here for more Cubic Spline info.
| Tech Musings #90 MUSE90.PDF Fourier Series analysis, alternatives to plated through holes, classic computer resources, a $200 GPS receiver, Newtek's new video toaster for Windows. |
Click here for Fourier Series example.
| PS Bezier curve through fuzzy data! FUZZYBEZ.HTML Don Lancaster tutorial shows how to fit a Bezier curve to fuzzy data points. While preserving end points and optionally the exit and entry angles. Read PS source in editor, modify , send to Distiller. |
Click here for the PostScript Sourcecode.
Click here for the Acrobat PDF Demo.
| Tech Musings #142 MUSE142.PDF Contact-free battery chargers. Gage and SPS machine tool interface. Useful energy resources. Some induction heating books. Using Gauss Jordan Elimination to solve linear equations. |
Click here for Custom Research assistance.
| Hardware Hacker #83 HACK83.PDF Halogen cycle mysteries, Science versus pseudoscience, some new books, Vector-to-step conversion, Hacker PostScript, interconnects, Weather satellite resources, EITD phone directory, more... |
Click here for more Vector to Step tutorials.
| Hardware Hacker #62 HACK62.PDF Using cubic splines. Switchmode resources. Electrorheological fluids. National's simple switcher. Colorized avuncular sleezoids. Curvetracing contest. Non-ionizing radiation safety. |
Click here for more Cubic Spline info.
| Tech Musings #122 MUSE122.PDF Atmel's PIC Challenger. HP's ScanJet 6100C. Finding satellite iimagery. Understanding quadrature. Broadband phase shifters. Using Hilbert transforms. Hydraulic rams. PostScript transparency. |
Click here for Live Auction bargains.
| Tech Musings #89 MUSE89.PDF BASIC Stamp Manuals. Secrets of Fibonacci sunflowers. New Bezier cubic spline book. Adobe's elegant Acrobat. E-field ac voltage sensing. |
Click for PostScript or Acrobat assistance.
| Tech Musings #112 MUSE112.PDF A.C. power measurement tutorial and basics. Aerogel resources and developments. 99 cent Telephone extension lockouts. Understanding RMS currents. Several column corrections. |
Click here for more Tech Musings columns.
| RMS current & voltage finder FINDRMS.PS A PostScript utility to find the rms and average values of any complex waveform. Especially triac phase controls. Also investigates recent outrageous lighting efficiency claims. |
Click here for Custom Research assistance.
| Ken Shiriff: VCRPlus Codes Shows the six bit encoding and decoding of the VCRplus time and date codes. Tutorial text, figure, and sourcecode combined into single .PDF file from November 1993 original. |
Click here for other Third Party tutorials.
| Hardware Hacker #59 HACK59.PDF High side FET drivers. Drawing semilog plots. Laser printer repair kits. Fundamentals of resonance. Far East computing resources. Semiconductor manufacturer resources. |
Click here for more PostScript info.
| Hardware Hacker #65 HACK65.PDF Short haul telemetry and comm links. Max-Min slope theory. SETI books and resourses. Unique new optical link. Understanding the Maximum Power Transfer Theorem. Gerber file formats. |
Click here for more Hardware Hacker columns.
| Bubble Sort Utility BUBLSORT.PS Simple stack-oriented utility that bubble sorts up to several thousand values. Read tutorial first as textfile, then test and modify as runnable PostScript code. |
Click here for additional PostScript resources.
| Insertion Sort Utility INSORT.PS Simple stack-oriented utility that approximates an insertion sort up to several thousand values. Read tutorial first as textfile, then test and modify as runnable PostScript code. |
Click here for Adobe Acrobat PDF info.
| Links: | . |
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| Resources from Math Net This appears to be the defining site for all links mathematical currently on the web. |
Click here for the Hotbot search engine.
Click here for the Google search engine.
Click here for Cubic Spline tutorials.
Click here for Custom Consulting assistance.
Click here for Magic Sinewave tutorials.
Click here for some Wavelet tutorials.
| Books: | . |
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Bezier Curves & Cubic Splines:
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Error Correcting Codes:
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Wavelets:
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| Newsgroups: | . |
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| For more help: | . |
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