Web Publications / References in 2010

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
• Find coordinates
• Question on infinity (singularity)
• gradient of a objective function that contains a max function?
• 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
  • 2-D Elementary Substructures (section: Triangle Algebra) ; Quadrilateral Algebra
  • Labrujère's Problem ; Executable & source code ; Slide show Turbo Pascal ; Slide show Delphi
  • SUNA04, Five Point Star ; SUNA48, Seven point F.E. star
• 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?
• Missouri State University Problem Corner
• 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
• Did Archimedes could knew this?
• diff. Cauchy problem
• calculating clearance rate Options
• When is a vector field is the gradient field of a scalar function?
• Help on a surface integral
• approximating a 2nd order bezier curve with a 3rd order bezier curve
• Street grid pattern
• Moderated newsgroup?
• image proccesing
• Cross-correlation (Wikipedia : later)
• THE QUEST FOR THE ULTIMATE THEORY OF TIME, AN INTRODUCTION TO IRREVERSIBILITY
• A question on Farey's sequences.
• Extending a continuous function
• Looking for help with a proof about whole numbers
• Hirsch Conjecture.
• Is this function convex?
• Convergence Set
• center of mass of the Cantor set
• Diophantine equation question
• Interesting optimization problem
• Need analytical solution of 2nd order ODE
• Trajectory branching in Liouville space as the source of irreversibility
• Neat FOL(membership,Identity)
• Missouri State University Problem Corner
• Initial value problem Help Please
• Spiral positions in cartesian coordinates
• about squarefree integers
• Polynomials over the field with two elements
• Least Squares for a = a0+arctan(...)?
• The sign of a definite integral
• Limit of Continuous Functions
• does this f(x,y) have to be a polynomial function of x and y?
• Ball choosing problem
• Integrals and Polynomials
• About Linear Independence of Exponential Functions defining an alternating serie
• Equation for local angle of Archimedes Spiral with radial line
• Sparse matrix profile reduction
• Stones on a grid puzzle
• Integrals and Polynomials
• Compute the Fresnel integral
• solving intermediate steps of an integral
• Cute observation ...
• Special_Unitary_Group
• Both powers?
• This Week's Finds in Mathematical Physics (Week 299)
• power of a matrix limit A^n
• Algebra Question
• Finite Sum Problem
• Consecutive numbers and representation as sum of two squares
• beautiful equation
• Divisibility of polynomials of several variables
• Skew-symmetric matrix representation
• Presenting unusual new algorithm for integer factorization
• 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

• Least-squares transformations paper
• Sobolev space
• Oriented linear least-squares
• proof by induction F_n ≥ 2^.5n for F_n fibonacci term n≥6
• Extension of order of derivation
• IMO 2006 6th problem
• intersection of two moving object
• Numerical Ensemble of Harmonic Oscillators
• IRREVERSIBILITY OF TIME
• First off Han, if you want to be right, it's "Time is reflexive."
• Geometry terminology
• Exact outcome for this integral?
• Is this true?
• Baby Rudin question
• request for pointers: existence proof for minesweeper
• is H_s an algebra?
• A symmetry of a matrix of a championship
• Question about order statistics
• finite product
• Two combinatorial problems
• non-averaging subsets of {1, 2, 3, ... 99}
• OEIS, The Movie
• Duos of squares...
• online computation of semiconvergents?
• 12 x^2 - 7x + 1 = 0 (mod p) has solution for every prime p
• basic question: what is 2^(p-2) mod (p^2)???
• Numerical Ensemble of Exponential Decays
• Missouri State University Problem Corner (new address)
• New Differential Equation website :
• Differential Equations, Mechanics, and Computation
• History of derivative of arithmetic function
• Simple question about fourier representation
• Books on complex analysis
• Does This Infinite Sum Equal 0 for all n?
• The Goldbach Conjecture: is this statement true?
• 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
• Convexity of log to sum of exponentials
• Infinite Series Help
• Benford's Law
• 1^3+3^3+5^3+...+337^3 = (239*169)^2
• Partition calculation
• A new definition of primality!
• ---- ---- ----- validity of an equation
• What Is Mathematics For?
• details re Z-R |- PA consistent
• Unsolved problems web site
• unknown Taylor series
• An inequality.
• Solution to x = sum[n=0..inf](n!)^(-x)
• P versus NP
• sum(floor(k/a)*floor(k/b),k=1.­.a*b-1)
• A combinatorial identity
• A commutative non-Boolean ring such that all elements except 1 are zero divisors
• Higher Algebras to describe Basic Math
• Maximum Number of Cake Slices
• wo has read the work of Abel about the 5th equation?
• I have my moments
• This Week's Finds in Mathematical Physics (Week 300)
• 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 ..