MSE publications / references 2021

In die Beschränkung zeigt sich erst der Meister (Goethe).
Questions & Answers @ Mathematics Stack Exchange:

Find the area enclosed by $\sqrt{(x-2)^2+(y-3)^2} + 2\sqrt{(x-3)^2+(y-1)^2} = 4$
& MIRROR

Free accompanying (Delphi Pascal essentials) source code available: Version with Isoline refinement: The software is also available with binary instead of ternary refinement, according to
  Syntax: [program] [number base] [refinement depth]
Also available: a generalization to three dimensions, with the volume of a sphere as an example.


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:

Double refinement of Nesbitt's inequality
& MIRROR

Free accompanying (Delphi Pascal) source code available for this problem: Output of Project7:


Stern Brocot tree sequence & MIRROR


Can the Stern-Brocot tree be employed for better convergence of $2^m/3^n$?
& MIRROR

Free accompanying (Delphi Pascal essentials) source code available for this problem:

Does there exist a real function with following properties?
& MIRROR (deleted)


Grid coordinates $\Longleftrightarrow$ Triangle numbering
& MIRROR

Free accompanying (Delphi Pascal essentials) source code available for this question: Free accompanying (Delphi Pascal) source code available with the answer:

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where the constant frequency $\omega = \mbox{oo}$ has been replaced by $\omega = 1/x$.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: