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OverviewConsider a set of k elements. Let the elements be the first k positive integers. Consider the permutation set that corresponds to the first k positive integers - and let each element's order equal that element's value. At every line of the permutation set, there exists an element or there exist the elements of the greatest order so far while doing a left-to-right scan. As a consequence, six permutation set properties exist. Expectations and expected values corresponding to the properties are calculated. Then the order of the elements is generalized. An equal order constraint can be applied so that selected elements of adjacent order are reassigned the lowest order of the elements of adjacent order. Then multiple equal order constraints can be applied concurrently. Then all possible equal order constraints are considered. Permutation sets are used to express random sequences. Equal order constraints are applied to the elements of the permutation sets. Values of permutation set properties are calculated and mathematical patterns are discerned. Consequently, the interaction of order and random sequences is determined. Full Product DetailsAuthor: James Michael FoleyPublisher: Archway Publishing Imprint: Archway Publishing Dimensions: Width: 21.00cm , Height: 1.50cm , Length: 27.90cm Weight: 0.662kg ISBN: 9781665733175ISBN 10: 1665733179 Pages: 292 Publication Date: 23 January 2023 Audience: General/trade , General Format: Paperback Publisher's Status: Active Availability: In stock We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately. Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |