In die Beschränkung zeigt sich erst der Meister (Goethe)
- Doron Zeilberger
(mathematics)
- An Enquiry Concerning Human (and Computer!) [Mathematical] Understanding
- "REAL" ANALYSIS Is A DEGENERATE CASE of DISCRETE ANALYSIS
- Mean Distance to Rectangle, the picture herein
done with a stand-alone Windows executable program
- Best Fit Rectangle
without the scrambling.
And another picture
- Yamaha Electone HC-2 Control Panel Emulation
the data (needed !), the executable (Windows)
program
and the (Delphi Pascal) source code. Dependence is as follows:
Project2 => verwerkt.pas => Project4 => werkelyk.pas => Project1
- Rotation question
- CONIC SECTIONS
- Cone and Parabola (sci.math)
- Cone and Parabola (PDF)
- Source code of above
- ? polar formula in N dim
- Collection of Infinite Products and Series
- Help with Linear programming problem (Q)
- Help with Linear programming problem (A)
- A problem related to Gauss sums (sci.math)
- A problem related to Gauss sums (graphics)
- Old prerequisites
- New Numerical Method for 3D Ideal Flow
and how it was done
- Numerical Method for 3D Ideal Flow (sci.math)
- Potential flow (wiki)
- pair of curves joining opposite corners of a square must intersect--proof?
- New version of my DC Proof program now available
- Skew-symmetric matrix A and I + A
- volume of the 4-dimensional unit sphere
- Circle-Circle Intersection (sci.math)
- Circle-Circle Intersection (preview) and how it was done (2010-05-11)
Related stuff:
Pythagorean triple (counting vs. computation in 'Project1')
The real stuff (Windows XP executables) : Project1 , Project2 , Project3
- Compute the Fresnel integral
- Ilya Prigogine, The End of Certainty
- Bernoulli process (Prigogine chapter 3, section II)
- Chaotic sawtooth map
- Baker's map (Prigogine chapter 4, section III)
- Prigogine, chapter 3, section II: Bernoulli Mapping
Numerical experiments:
Project1.exe and
Project2.exe
Just RUN and press "Enter".
And look how it's done
- Numerical Ensemble of Harmonic Oscillators
- IRREVERSIBILITY OF TIME
- First off Han, if you want to be right, it's "Time is reflexive."
- Numerical Ensemble of Exponential Decays
- The Special Theory of Continuity
- Uniform Combs of Gaussians (PDF)
The logical order of our (MS-Windows) executables
is not the same as the
historical one:
- Project5.exe: Uniform Comb of Gaussians
- Project3.exe: Numerical Ensemble of Exponential Decays
- Project4.exe: Orthogonal Hyperbola Discretization
- Project6.exe: Fuzzyfied Straight Line
- Project2.exe: Continuing Circular
The executables are kind of Slide Show: press <Enter>
- Source code included
- sum of inverse cubes : sum(k=0..oo) (-1)^k/(2.k+1)^3 = Pi^3/32
- and my proof in the margin
LATER
- The Special Theory of Continuity (PDF)
- (MS-Windows) executable:
Project5.exe (Combs of Hat functions)
The executable is kind of Slide Show: press <Enter>
- Source code included as well
- Nice Integral, as in sci.math
- A picture, as used in sci.math
(Re: gradient of a objective function that contains a max function?)
Mathematics, what else ..
