PARENTHASIS AND PARTHENON

After some brief searching for a field tYPE IN PARENTHASIS
and th THE WORD "PARTHENON"

Essay on Nature by Arthur Lee Jacobson
Trees,gardening, wild and domestic plant life are the specialty of author Arthur Lee Jacobson. ... big biological web or food chain, with herbivores, carnivores and ...www.arthurleej.com/e-nature.html - Cached
[PDF]
Electrical Healing and the Violet Ray
414k - Adobe PDF - View as html
able to defend themselves or escape, being held in chains and frozen. ... In good weather, the earth has a negative electri- cal charge, while the atmosphere is ...www.arthurleej.com/Violet.pdf


Decoding Greek Mythology
Wednesday August 11, 2004
Robert Bowie Johnson Jr., the author of The Parthenon Code, presented his view of Greek mythology, which he contends tells the same story of ancient human history as the Book of Genesis. Yet, the Greeks, he believes, were viewing events from a... Host: George Noory

[PDF]
29. Parentheses, Catalan Numbers and Ruin
File Format: PDF/Adobe Acrobat - Quick View natural definition of “closing” among parentheses. If a left and right .... For, parentheses that close completely, which the Catalan numbers ...www-math.mit.edu/~djk/18.310/18.310F04/parentheses.pdf
One of Theology, an archive I post of MTI's for a comparison of HISTORY and PHILOSOPHICS towards "sited resources" (Then, before, now, and in the future; what do the intersests seem to be in simalarity's?)

1. 
   Parentheses
   A another curious interpretation of binary sequences is that obtained
   by replacing each 1 by a left parenthesis and each 0 by a right one.
   2
   Thus 011010 can be written as )(( )( ).
   The gain we get from this silly looking substitution is that there is a
   natural definition of “closing” among parentheses. If a left and right
   parenthesis are adjacent in the proper order, like ( ), we can “close”
   them with one another, and ignore them in future closings so that those
   around them become adjacent (as happens similarly with the pairings in
   the Hu Tucker algorithm).
   Thus in our example above, )(( )( ), the first two parentheses remain
   open while the last two close.
   A famous ancient question in this context is: how many distinct
   arrangements of n pairs of left-right parentheses are there all of which
   close?
   The answer to this question is called the n-th Catalan number, C(n).
   Here are the first few answers:
   C(1)=1 ( )
   C(2)=2 ()() and (())
   C(3)=5 ()()(), ()(()), (())(), (()()) and ((()))
   We can deduce the answer to this and many similar questions in terms
   of binomial coefficients by noticing that every sequence of 2n
   parentheses, or in other terms, every subset of a 2n-element set, has
   some open part and some closed part when considered as a sequence of
   parentheses.
   This allows us to define a natural partition of all subsets of a 2nelement
   set, (or of an odd sized set as well.)
   Each block of the partition consists of all subsets which have the
   same closed part in the same locations.
   Thus, in our original example, )(( )( ), the closed part consists of the
   last 4 parentheses, and the first two represent its open part.
   3
   The magical fact that makes this information extraordinarily useful, is
   that open parts are extremely simple. No open part can contain a left
   parenthesis, (, followed by a right parenthesis, ).
   Thus, open parts, wherever they occur in a sequence, all either
   consist of all parentheses of the same kind, or some right ones followed
   by some left ones.
   If, for example, the open part of a sequence has four elements, the
   only possibilities are ((((, )(((, ))(( , )((( and )))), wherever they are located.
   The binary sequences that correspond to these possibilities are 1111,
   0111, 0011, 0001 and 0000.
   The sets corresponding to them are: none of them, the last element,
   the last two elements, the last three elements, and all four elements.
   Here and in general these sets form what we can call a full chain.

ANOTHER, the whole data page:

Michigan Theological Seminary
January 2007 Periodical Arrivals
American Psychologist (December 2006) Volume 61, Number 9
“The Window on Psychology’s Literature: A History of Psychological Abstracts” Ludy T.
Benjamin Jr. and Gary R. VandenBos
“Dual Dissemination: Writing for Colleagues and the Public” Robert Sommer
“Translational Research: How Social Psychology Can Improve Psychotherapy” Ty Tashiro
and Laura Mortensen
American Psychologist (January 2007) Volume 62, Number 1
“The Challenges of Leadership in the Modern World: Introduction to the Special Issue”
Warren Bennis
“Trait-Based Perspectives of Leadership” Stephen J. Zaccaro
“The Role of the Situation in Leadership” Victor H. Vroom and Arthur G. Jago
“Promoting More Integrative Strategies for Leadership Theory-Building” Bruce J. Avolio
“A Systems Model of Leadership: WICS” Robert J. Sternberg
“Asking the Right Questions About Leadership: Discussion and Conclusions” J. Richard
Hackman and Ruth Wageman
Andrews University Seminary Studies (Spring 2006) Volume 44, Number 1....many many many more.... .. .. .. ... ..