Group theory. Permutation group. The application of a permutation group to the elements being permuted is called its group action; it has applications in both the study of symmetries, combinatorics and many other branches of mathematics, physics and chemistry. The degree of a group of permutations of a finite set is the number of elements in the set. Closure properties[edit] Examples[edit] Permutations are often written in cyclic form[1] so that given the set M = {1,2,3,4}, a permutation g of M with g(1) = 2, g(2) = 4, g(4) = 1 and g(3) = 3 will be written as (1,2,4)(3), or more commonly, (1,2,4) since 3 is left unchanged; if the objects are denoted by a single letter or digit, commas are also dispensed with, and we have a notation such as (1 2 4). Consider the following set G of permutations of the set M = {1,2,3,4}: G forms a group, since aa = bb = e, ba = ab, and baba = e.
The Rubik's Cube puzzle is another example of a permutation group. Isomorphisms[edit] Notes[edit] See also[edit] References[edit] The Bible "Codes" -- A Textual Perspective. Jeffrey H. Tigay University of Pennsylvania October 13, 1999 In the 11th or 12th century, a Jewish woman in Byzantium named Maliha wrote to her brothers in Egypt that she wanted to come visit them, but that when she looked into a Torah scroll she found a bad omen forecasting failure if she were to make the journey.1 Something in the passage that caught her eye seemed to presage evil. Maliha was practicing bibliomancy, fortune telling by opening the pages of a sacred book at random and spotting a message there -- a practice widely known in the classical, Jewish, Christian, and Muslim worlds.2 In recent years, bibliomancy has been resurrected in a more contemporary form, based on finding hidden patterns and messages in the Hebrew text of the Torah, patterns and messages so sophisticated that most of them can be recognized only by a computer.
There are three types of such arguments. (1) The simplest is to find words of related significance in close proximity to each other. Fig. 1. Fig. 2. BibleWheel.com. English Gematria Calculators. Bible & Mathematics | Christian Assemblies International. Bible & Mathematics 1. Panin And Bible Numerics Ivan Panin was a Russian immigrant to America who was converted to Christianity when he discovered amazing numerical patterns in nature, which he believed could only be the work of the Creator. In 1890, Panin began to discover NUMERICAL SYSTEMS IN THE BIBLE, and went on to devote a large part of his life (40-50 years) to investigating the patterns he found.
God's Pattern In Nature Modern natural sciences started "to explode" when scientists realised from the Bible that God is a God of order and that THIS ORDER IS TO BE FOUND IN HIS CREATION. For instance, it must be mentioned that renowned scientists, such as ISAAC NEWTON who contributed so much to modern physics and mathematics, spent many years of their personal research on the subject of "Numerics in the Bible".
The following is an excerpt from Bullinger's book: BULLINGER, E. PHYSIOLOGY offers a vast field for illustration, but here again the grand impress is seen to be the number SEVEN.
666 UNCOVER.EXE the 666 software - scientific method. It is a logical consequence of Darwinian thinking that man is not alone in the universe; that other civilizations exist and flourish out there; that among these must be some superior to our own, able and willing to instruct us in the elusive art of peaceful coexistence. With the opening of the new millenium we therefore find many eyes turned heavenwards in anticipation of some non-random signal emanating from the depths of space that would confirm the existence of such beings. Assuming the fulfilment of these expectations, it is highly likely that regular communication would follow and, in due course, direct contact. In the initial stages of this scenario mathematical absolutes - particularly those associated with number and form - are expected to assume fundamental roles. For a concise overview of the findings to date it is recommended that The Beginning of Wonders be read first - followed by the remaining pages, in the order given.
Vernon Jenkins MSc New pages added 2007-03-04: And,