Math
Imagining S(3)
Philosophy of Proofs
Two unobvious yet trivial proofs.
Correctness of Fast Fourier Transform
Topology
Besikovitch’s problem
Riemann programs
Tiling Constant Curvature Spaces
with the Right Regular Pentagon
Tangents and Curvature
Bézier curves
The Affine Connection
The meaning of Rijkl
Symplectic Manifolds
Symmetry of Desargues’ theorem
Elementary Geometry on a Complex
Computing the Boundary of a Complex
Barycentric coordinates
An axiomatic introduction to abstract vector spaces
Linear Transformations
on vector spaces
The Alias Alibi distinction
Generating random orthogonal matrices
Code for Fields in a computer, matrix inversion.
Special Matrices and their Spectrum
Unimodular Matrices
Projective Geometry fragments
Crude code to find eigenvalues and eigenvectors.
Algebras over vector spaces, associative and not
Isometries
Experimental Quaternions and Octonions
and general division algebras
Computational Clifford Algebras and Hypercomplex numbers
Multivariate polynomials
Rank and reduced row echelon form
Rational Gram Schmidt,
Orthogonal sub-spaces and intersection of sub-spaces
C code for determinants
Implicit Methods
A numerical coincidence?
A glimpse at p-adic numbers
Order Types
Dedekind cuts of partial orderings
Stowaways
See Math Connection in here
Type equivalence, Infinite trees, Anti Foundation set theory
Axioms for Sets,
Intersections of Sets of Sets
Completeness of Predicate Calculus
Note on minimal coverings
Banach Area & Crystals
Bug in Banach Crystals Idea
The Platonic Polytope (applet)
Area of Intersection of Polygons
Conventional Sphere Packing
The Simplex and its Angles
A Functional Equation
Constructing a Brownian Function
Applied Lambda Calculus
Some Bayesian statistics and Likelihood note.
Factoring with the Quadratic Sieve
Finding Primes
Counting constrained bit arrays
Critical Density of Links
Covariant and Contravariant;
Tensors and Types
Hilbert Space
There are c continuous functions
and c points in Hilbert space.
Computing π
Distribution of continued fraction terms
Summing a slowly convergent series
Finding foci of an ellipse
Cycloid
bent beams[with pictures,
with Runga-Kutta precision]
Efficient Hydraulics
Topological link and induced current
Decoding obscure symbols such as the turnstile.
Equality or not
External Math Pointers
Physics
Relativity section
Kinetic energy
Lab Electricity Puzzle
Gravitational Assembly Energy
Accretion Rings
Cold Neutrinos as Dark Matter
Solution to Potential using ∞ virtual Charges
The Structure of Diamond
and ice
Vortices
Notes on Tegmark’s TOE
1D Hydro Dynamics Code (shock wave)
3D Elasto Dynamics Code
Idea for ultra high resolution radio
interferometry
Six Axis Stress Gauge
and Virtual touchy-feely
Plucked String (Fourier Series)
Tumbling rigid body
Physical Libration
The Lagrange Points
Close Encounters (orbits, three body)
compound pendulum using Lagrangian logic
Short note on the Hamiltonian
Yet another Digital Orrery
Fizzy Drinks
time
Quantum Computers
Gaussian quantum particle
SU(3) and quarks
circular polarization
Notes on Particle Spin
Fyzzy:
Crazy Connections concerning Simultaneous Alternatives
Edge of Chaos and Economics
Understanding
Things are as they are because they were as they were.
Logic, Evolution, Math etc.
External
ext