DIRECT LINK ;
http://soundofstars.org/finchconstants/optimalescapepaths.pdf
A FEW OTHER SELECT PAPERS
http://soundofstars.org/finchconstants/
ESCAPE PATHS - {DETERMINING}, Re: EXTREME IMPORTANCE - ALL
MEMBERS
"Did you know XXXX was attacked by US academe, and he
had to get his work published elsewhere, and the French at inria
helped him."
"....check out XXXX XXXXX's
mathematical constants--there's mention of a higher dimensional Feigenbaum like
bifurcation accelerator constant at something like 29.57 not far above
29.342......."
Now, when I tried to find some of XXXXX's work I found a
number of routes had been blocked off, I mentioned this to my colleague and he
said ;
"Your access experience may reflect the
difficulty. We are in a race with time and a war on truth and good information.
Try some other keywords, let me know if you need more aid. "
My associate then forwarded quotes to me posted by XXXXX ;
* In October 2002, a former employer demanded that this
website be shut down, and I had no choice but to comply (draft notes here &
here). I am grateful to Cambridge University Press and to INRIA Rocquencourt for patiently seeing me through a difficult
time (up to June 2003).
So, what sort of employer would try to shut
XXXXX down from simply posting math and science papers to the internet?
http://www.people.fas.harvard.edu/~sfinch/csolve/opt.pdf
http://www.people.fas.harvard.edu/~sfinch/
From: Doc Stars <doc_starz@yahoo.com>
Subject: [ S.O.S. : --> ] OPTIMAL ESCAPE PATHS -
Re: EXTREME IMPORTANCE - ALL MEMBERS
To: sound_of_stars@yahoogroups.com
Received: Thursday, March 17, 2011, 11:43 AM
People....
do you remember I sent this to you many months ago and I asked you to save
this? EXTREME IMPORTANCE - ALL MEMBERS This email should be saved by you. Keep it safe, chances are you will need this information
(seriously) within the next two years. Print a copy of the 'Optimal
Escape' paper out. Keep that safe, make copies of it. I
realize that not all of you have the math acumen to understand everything thats in this, but dont worry
about that. Read and try to grasp as much as you can from these
contents. Chances are good that at some point in the next 2 years,
within your own local micro-cosm of reality you
WILL run into someone, somewhere, somehow that CAN understand all the
math. Share this paper with them, get them to help you in what ever
situation you find yourself in, together your chances of survival,
adaptability, and your chances of thriving and finding suitable comfort in
life will go UP, and thats very important to me. I realize all this probably sounds somewhat cryptic, but I
dont have the time, energy, etc,
to go into this further beyond this email, at this time.
So Im asking you to consider what Im saying and to take minimal steps on your end to make
sure you secure this information for yourself, take this all with a grain of
salt but I ask you to at least make sure you have this in your repertoire. Some simple, partial back ground
notes on what is about to follow. I have a number of associates,
who are very close to me, part of my own inner circle. They are doing
what they can to do their part to make a difference in the world and to help
humanity ... some of these individuals are what might be best described as
'rogue scientists', 'rogue mathematicians'. Many of them are somewhat
'off the grid', and they often live somewhat challenging lives, but they care
less for recognition, riches, peer acceptance, social approval, and
they care very much about listening to and following their conscience.... c'est la vie... its how it is.....
I love these comrades at arms to pieces and admire their pluck and heartfullness. We do our best as we can, with limited resources, to
communicate and to collaborate, we feel it is our higer
calling and duty to do so. Often when our inner circle members 'get noticed', they
tend to get smacked down and rubbed out for their efforts, especially when
they are working in some sort of publicly funded avenue. Such as formal
academia, government, big business. In my opinion, all three of these
channels frown heavily on we, as a species, actualizing, individuating,
transcending, and solving our most important problems and issues as a race.
So when some bright boy or girl in the hallowed halls of public academia attempts
to release something, some new discovery that promises healthy evolution of
consciousness, freedom and balance for humanity and not simply control or
profiteering, it tends to end like this ; This is one of the reasons WHY, I decided to NOT go
through avenues such as formal academia, big biz, etc... because I already
knew what traps lied in wait for me and I chose instead to go direct to the
public, in the hopes that once the grass roots became aware of this
technology, the cat would then be out of the bag and it would be impossible for
it to get 'lost' or 'hijacked' or delayed forever behind malicious
bureaucratic (fake) reviews. I figured if you, the grass roots, the
good people of true conscience became aware of my work and felt it had value
and truth, then you would carry me on your shoulders as one of your banners
of spirit in your march towards your own liberation and freedom Recently, one of my comrades, who I appreciate, respect and admire greatly, sent me a heads up on some important
developments related to Math Constants. Do not let this throw you if
you are not "into" math, persist here... it is important. Here are some comments from my colleague
; "Did you know Finch was attacked by US academe, and
he had to get his work published elsewhere, and the French at inria helped him." And ; "....check out Steve Finch's
mathematical constants--there's mention of a higher dimensional Feigenbaum
like bifurcation accelerator constant at something like 29.57 not far above
29.342......." Now, when I tried to find some of Finches work I found a
number of routes had been blocked off, I mentioned this to my colleage and he said ; "Your access experience may reflect the difficulty.
We are in a race with time and a war on truth and good information. Try some
other keywords, let me know if you need more aid. " My associate then forwarded quotes to me posted by Finch ; * In October 2002, a former employer demanded that this
website be shut down, and I had no choice but to comply (draft notes here & here). I am grateful to Cambridge University
Press and to INRIA Rocquencourt for patiently seeing
me through a difficult time (up to June 2003). So, what sort of employer would try to shut Finch down
from simply posting math and science papers to the internet? And why? Well, once you see some of what Finch was making available
to the GENERAL PUBLIC its not to tough to see why a TOTALITARIAN, TYRANICAL, DESPOTIC, BIG BROTHER, MENTALITY Might not like what Finch was trying to teach people
about.... think about this, If you were the leader of a country that was trying to in
a sneaky and creepy way. pursuade, convince, bully
your population into accepting a 'police state' with no real liberties or
freedoms, would you really want your population to read about, understand, or
(shudder) heaven forbid, APPLY real world principles such as those found in
the Finch papers such as ; "Optimal Escape Paths" Steven Finch May 30, 2005 A summary of Bellman’s "Lost in a Forest"
problem appears in [1]. Certain allied constants are described in [2, 3] and research is ongoing
[4, 5, 6]. We will focus on just one facet of the problem for now, namely the
following: "A hiker is lost in a forest whose shape is known to
be a half-plane. What is the best path for him to follow to escape from the
forest? " This is equivalent to: "A swimmer is lost in a dense fog at sea, and she
knows that the shore is a line. What is the best path for her to follow to search for the
shore?" |
https://web.archive.org/web/20160405020828/http://www.people.fas.harvard.edu/~sfinch/
Mathematical Constants
Dedicated to the memory of Philippe Flajolet
My website is smaller than it
once was. Please visit again, however, since new materials will continue to
appear occasionally. *
My
book Mathematical Constants is available for online purchase
from Cambridge University Press. It is far more
encompassing and detailed than my website ever was. It is also lovingly edited
and beautifully produced - many thanks to Cambridge! - please support us in our
publishing venture. Thank you. (If you wish, see several very kind reviews. You can also search the book via Amazon and Google by keyword.)
Here
are errata and addenda to the book (last updated
1/22/2016), as well sample essays from the book about integer compositions, optimal stopping and Reuleaux triangles.
Here also are recent supplementary materials, organized by topic:
Number Theory and Combinatorics
·
Bipartite, k-colorable and
k-colored graphs (6/5/2003)
·
Transitive relations, topologies
and partial orders (6/5/2003)
·
Series-parallel networks (7/7/2003)
·
Two asymptotic series (12/10/2003)
·
Multiples and divisors (1/27/2004)
·
Discrepancy and uniformity (2/19/2004)
·
Unitarism and infinitarism (2/25/2004)
·
Erdös' minimum overlap problem (7/2/2004)
·
Planar graph growth constants (8/25/2004)
·
Tauberian constants (8/30/2004)
·
Integer partitions (9/22/2004)
·
Class number theory (5/26/2005)
·
Quadratic Dirichlet L-series (7/15/2005)
·
Elliptic curves over Q (10/10/2005)
·
Modular forms on SL2(Z) (12/28/2005)
·
Chebyshev's bias (4/26/2006)
·
Pattern-avoiding permutations (4/27/2006)
·
Cyclic group orders (4/28/2006)
·
Dedekind eta products (1/10/2007)
·
Series involving arithmetic functions (1/24/2007)
·
Riemann zeta moments (3/22/2007)
·
Central binomial coefficients (3/28/2007)
·
Fractional parts of Bernoulli numbers (4/10/2007)
·
Products of consecutive-integer ratios (4/19/2007)
·
Prime number theorem (4/27/2007)
·
Mertens' formula (5/4/2007)
·
Cyclotomic polynomials (3/31/2008)
·
Minkowski-Alkauskas constant (5/6/2008)
·
Two-colorings of positive integers (5/27/2008)
·
Signum equations and extremal coefficients (2/7/2009)
·
Monoids of natural numbers (3/17/2009)
·
Primitive cusp forms (4/27/2009)
·
Cubic and quartic characters (6/5/2009)
·
Distribution of error terms (9/9/2009)
·
Cilleruelo’s LCM constants (10/16/2013)
·
Amicable pairs and aliquot sequences (10/31/2013)
·
Fermat numbers and elite primes (11/12/2013)
·
Average least nonresidues (12/4/2013)
·
Apollonian circles with integer curvatures (1/3/2014)
·
Molteni's composition constant (2/5/2014)
·
Boolean decision functions (4/22/2015)
·
Map asymptotics constant (4/25/2015)
·
Injections, surjections and more (5/7/2015)
Inequalities and Approximation
·
Hardy-Littlewood maximal inequalities (10/12/2003)
·
Bessel function zeroes (10/23/2003)
·
Nash's inequality (11/4/2003)
·
Uncertainty inequalities (11/7/2003)
·
Airy function zeroes (7/19/2004)
·
Projections of minimal norm (11/30/2004)
·
Bohr's inequality (12/5/2004)
·
Moduli of continuity (12/22/2004)
·
Quinn-Rand-Strogatz constant (4/27/2008)
·
Tsirelson's constant (8/19/2008)
·
Mathieu eigenvalues (10/7/2008)
·
Thomas-Fermi model (10/15/2008)
·
Prandtl-Blasius flow (11/12/2008)
·
Lane-Ritter-Emden constants (11/30/2008)
·
Radiative transfer equations (12/30/2008)
·
Carleman’s inequality (12/17/2013)
·
Golay-Littlewood problem (3/5/2014)
·
Online matching coins (3/7/2014)
·
Toothpicks and live cells (7/21/2015)
·
Virial coefficients (1/29/2016)
·
Strong triangle inequality (2/8/2016)
Real and Complex Analysis
·
Radii in geometric function theory (1/5/2004)
·
Numerical radii of linear operators (4/5/2005)
·
Coefficient estimates for univalent functions (12/15/2004)
·
Planar harmonic mappings (3/29/2005)
·
Constant of interpolation (4/5/2005)
·
Dirichlet integral (5/15/2008)
·
Brachistochrone problem (12/17/2008)
·
Dyadic UMD constants (3/24/2009)
·
Power series with restricted coefficients (2/19/2014)
·
Hankel and Toeplitz determinants (3/17/2014)
·
Gol'dberg's zero-one constants (5/21/2014)
·
Electrical capacitance (8/25/2014)
·
Aissen’s convex set function (9/29/2014)
·
Condition numbers of matrices (1/6/2015)
·
Goddard’s rocket problem (6/12/2015)
·
Swing-up control of a pendulum (7/16/2015)
·
Zermelo’s navigation problem (3/1/2016)
Probability and Stochastic Processes
·
Hammersley's path process (4/5/2004)
·
Moments of sums (4/23/2004)
·
Ornstein-Uhlenbeck process (5/15/2004)
·
Zero crossings (5/19/2004)
·
Variants of Brownian motion (6/12/2004)
·
Shapes of binary trees (6/24/2004)
·
Expected lifetimes and inradii (2/23/2005)
·
Subcritical Galton-Watson trees (3/1/2007)
·
Continued fraction transformation (5/23/2007)
·
Continued fraction transformation. II (6/15/2007)
·
Continued fraction transformation. III (7/1/2007)
·
Continued fraction transformation. IV (7/18/2007)
·
Lyapunov exponents (11/19/2007)
·
Lyapunov exponents. II (11/20/2007)
·
Lyapunov exponents. III (11/21/2007)
·
Lyapunov exponents. IV (3/18/2008)
·
Stars and watermelons (4/26/2008)
·
Prophet inequalities (5/9/2008)
·
Excursion durations (5/12/2008)
·
Gambler's ruin (6/19/2008)
·
Self-convolutions (3/2/2009)
·
Newcomb-Benford law (8/17/2011)
·
Electing a leader (12/18/2013)
·
Substitution dynamics (1/23/2014)
·
Biham-Middleton-Levine traffic (2/18/2014)
·
Contact processes (1/23/2015)
·
Interpolating between max and sum (4/28/2015)
·
Mixing time of Markov chains (8/4/2015)
·
Correlated products (1/5/2016)
Geometry and Topology
·
Knots, links and tangles (8/8/2003)
·
Convex lattice polygons (12/18/2003)
·
Volumes of hyperbolic 3-manifolds (9/5/2004)
·
Poisson-Voronoi tessellations (3/11/2005)
·
Optimal escape paths (5/30/2005)
·
Minkowski-Siegel mass constants (1/9/2005)
·
Slicing problem (4/5/2005)
·
Constant of Theodorus (4/9/2005)
·
Nearest-neighbor graphs (4/25/2008)
·
Random triangles (1/21/2010)
·
Random triangles. II (2/9/2010)
·
Random triangles. III (4/30/2010)
·
Random triangles. IV (5/14/2010)
·
Random triangles. V (12/22/2010)
·
Random triangles. VI (1/7/2011)
·
Colliding dice probabilities (7/29/2011)
·
Gergonne-Schwarz surface (4/12/2013)
·
Partitioning problem (5/3/2013)
·
Soap film experiments (6/5/2013)
·
Inflating an inelastic membrane (8/15/2013)
·
Enumerative geometry (2/24/2014)
·
Distance-avoiding sets in the plane (3/18/2014)
·
Fraenkel asymmetry (4/1/2014)
Here
are several favorite links: Mathematical Constants and Computation (by
X. Gourdon & P. Sebah), MathWorld Constants (by
E. Weisstein at Wolfram Research), the Inverse Symbolic Calculator (originally by
S. Plouffe & the Borwein brothers), and the On-Line Encyclopedia of Integer Sequences (by
N. Sloane).
Here
finally is contact information for me. I appreciate
your interest!
* In
October 2002, an ex-employer demanded that this website (formerly at INRIA) be shut
down, and I had no choice but to comply (lapsed links here & here). I am grateful to Cambridge University
Press for patiently seeing me through a difficult time (up to June 2003).
http://en.wikipedia.org/wiki/Hypatia
( And btw, it was NOT a Christian mob who killed Hypatia, but
rather satanic murderers pretending to be Christian, much like our North
American leaders of today).
SOME MEME FAVES
http://soundofstars.org/memesfaceb.html