I am a mathematician and computer
programmer from Chicago. I have a BA in Mathematics
from
Northeastern Illinois University, and I'm also Sun
Certified. Since 2000, I've been working on the
Towers of Chicago puzzle; I programmed the multipeg
version in Java. The multipeg version involves
4 or more pegs, as opposed to the usual 3. These
pegs are enumerated as follows: the initial peg,
the final peg, and 2 or more auxiliary pegs. This
applet can display up to 50 discs by 10 pegs with
the default window size (1300x1000).
The Towers of Chicago uses a dynamic
algorithm to compute the optimal partition numbers, and
then
a recursive algorithm to compute the moves. This
program is an example of Automated Reasoning,
especially since it has sequence variation.
The puzzle
software can be found at the following link:
Towers
of Chicago The
software was
programmed using Java 20; from here, the JDK
Installer (Windows 10
version) can be downloaded.
Run this
batch file after installing Java. Also,
adjust the High DPI settings for the Javaw executable
located in the system folder. Here is the
JDK
Documentation. The
original version of my
Towers of Chicago software won 5^{th} prize in
the Quest for Java
Contest.
Here are some
screenshots, and here is an applet
that calculates the number of moves
in
the multipeg problem. Here is another applet
that calculates the number of
top-level
partition numbers in the multipeg problem.
Furthermore,
here is a scholarly
paper about
the mathematics behind Multipeg Towers of Chicago.
Also, I wrote software that solves
problems in Boolean Logic: Meta
Theorem
Curiously enough,
any statement in mathematics can be reduced to a
statement of
Boolean Logic. My treatment of Boolean Logic
includes 64 variables, truth constants,
6 operations, and perfect syntax checking. The
program features a postfix form
polynomial time speed boost in this exponential time
problem.
Here is a list oflogical
sentences that can be used to
test Meta Theorem.
Meta Theorem was
developed at Argonne National Laboratory under the
Automated Reasoning Project (Research Project
#289). It was used to
resolve some important hypotheses in mathematics:
Continuum Hypothesis
Twin Primes Conjecture
Rationality of Pi to
the Pi
My math applets are generating 500
Gigawatts of D-D-T Fusion Power:
The mass of neutrinos has been
verified to be 0 by Multipeg Towers of Chicago.
The 3D volume of neutrinos has been observed to
be10 times smaller than that of photons;
according to the ancient neutrino-photon graph,
at this factor, the neutrino mass is
insignificant.
85% of
the mass of the universe is
thought to consist of dark
matter.
Since neutrinos are massless, therefore dark
matter cannot be composed of neutrinos.
There are no other known matter particles that
are candidates for dark matter.
Perhaps the inertial field of space has mass,
and thus holds the universe together.
The inertial field would be a continuous
manifold that produces effects such as
the centrifugal force. It would contain
a set of equivalent inertial reference frames
as
prescribed by Galileo. This would
distinguish it from the electromagnetic ether
which
transmits light waves and has a preferred
reference frame for the speed of light,
as prescribed by Maxwell.
The masses of the universe seem to be
distributed as follows: Pie Chart The cardinality of the
inertial field seems to be 2^{ℵ0}
(the power of the continuum),
whereas the cardinality of the electromagnetic
ether seems to be in between ℵ_{0} and 2^{ℵ0}.
North America has an inexhaustible
power source that can be used to run high speed
trains.
Here is a map of the proposed High Speed Rail System;
this system shall be powered by
nuclear fusion. This will be a grid network of
dedicated TGV railways that
will run at 200 mph,
and will cover all regions of the continent. Maglev
can be used for downtown to airport
transit in key cities.
In order to build a national high
speed rail system, we need the U.S. military to
withdraw from a variety of foreign lands and restore
development on American soil.
The Federal infrastructure package is insufficient
in terms of intercity high speed rail;
electrification needs to proceed westward of the
northeast corridor for us to compete
with China. At least $1 trillion needs to be
appropriated in order to fund the entire
Acela High Speed Rail System. Chicago
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