Fixpoint
of Inscribed quadrilaterals in circle
Mathematical Gems
The
good Christian should beware of mathematicians and all those who make
empty prophecies. The danger already exists that the mathematicians
have made a covenant with the devil to darken the spirit and to
confine man in the bonds of Hell.
Saint
Augustine (354-430)
During my high school time in Greece I "wasted" some of my time working on various simple mathematical problems. Here are some of them:
Fixpoint
of Inscribed quadrilaterals in circle
Number
theory, sums and associated groups
Exponential
Iterations and Convergence
Application
of mathematics:
Fast
Fourier Transforms (FFT) and Convolution
Rotation
around a vector, Rodrigues formula and orientation optimization
Generation
of uniform distributed random points on and within hyperspheres
(in preparation)
Singular
Value Decomposition (Preliminary
version)
Lognormal
distribution and cancer cure
Generation
of various random numbers distributions (in preparation)
Use
of FFT to measure femtometer (1/1000 nanometer) large Boson sources
or gigantic star radii (in preparation)
Determinants
and Permanents (in
preparation)
Double
sums, variances and inequalities (in
preparation)
Lagrange
Multipliers (in preparation)
Stratified
Sampling (in preparation)
Some
mathematical links
Last Update 10-11-2003