MSE publications / references in 2014.
Bounty 100 raised for:
Create a number by multi by 2 and divide by 3 (integer part)
& MIRROR
Five attempts have been made:
Can any positive real be approximated as $2^m/3^n$ with $(m,n)$ large enough?
& MIRROR
Free accompanying (Delphi Pascal) source code available for this problem:
- Grafisch.pas : Helper routines
- Unit12.pas : Making of graph (1)
- Unit13.pas : Making of graph (2)
Double refinement of Nesbitt's inequality
& MIRROR
Free accompanying (Delphi Pascal) source code available for this problem:
- Contours.pas : the Art of Contouring
- Generaal.pas : General helper routines
- Grafisch.pas : Graphics helper routines
- Unit7.pas : Calculating the Isolines
- Unit8.pas : Graph of $\color{red}{f(x)}$ and $\color{blue}{g(x)}$
- Proef.dpr : Far away region calculations
Stern Brocot tree sequence
& MIRROR
Can the Stern-Brocot tree be employed for better convergence of $2^m/3^n$?
Free accompanying (Delphi Pascal essentials) source code available for this problem:
& MIRROR
Does there exist a real function with following properties?
& MIRROR (deleted)
Grid coordinates $\Longleftrightarrow$ Triangle numbering
Free accompanying (Delphi Pascal essentials) source code available for this question:
Free accompanying (Delphi Pascal) source code available with the answer:
& MIRROR
Length of a line inside a rectangle & MIRROR
Free accompanying (Delphi Pascal essentials) source code available with the answer:
It is noticed that this problem is very much related to the isolines refinement in:
Find the area enclosed by $\sqrt{(x-2)^2+(y-3)^2} + 2\sqrt{(x-3)^2+(y-1)^2} = 4$
& MIRROR
Derivative and inverse
& MIRROR
Free accompanying (Delphi Pascal essentials) source code available with the answer:
The Method Of Frobenius & MIRROR
Free accompanying (Delphi Pascal essentials) source code available with the answer:
The numerical method in the software is based upon an old sci.math article,
where the constant frequency $\omega = \mbox{oo}$ has been replaced by $\omega = 1/x$.
How wide can a unit-length planar curve be? & MIMIC
Free accompanying (Delphi Pascal essentials) source code available with the answer:
Why does ${x}^{x^{x^{x^{\,.^{\,.^{\,.}}}}}}$ bifurcate below $\sim0.065$? & MIRROR
Free accompanying (Delphi Pascal essentials) source code available with the question:
How to find the slope of certain lines matching random points & MIRROR
Free accompanying (Delphi Pascal essentials) source code available with the answer:
How to approximate a sharply peaked function with deltas? & MIRROR
Is this Laplace BVP well posed? If not, why? & MIRROR
Free accompanying (Delphi Pascal essentials) source code available with the answer:
How about Cantor's Theory in a Finite context? & MIRROR
Free accompanying (Delphi Pascal essentials) source code available with the answer:
