A systematic treatment of well-known optimization problems in which an active set strategy leads to a finite algorithm. Applies techniques of convex analysis to problems in convex and nonconvex programming involving polyhedral functions. An important contribution of this work is the derivation of a compactly parametrized representation of the subdifferential of a polyhedral convex function. Develops finite algorithms for robust statistical estimators, nonparametric estimators based on rank, and errors in variables problems. Gives a detailed discussion of the basic solution procedures for the simplest case (the linear programming problem) and includes a treatment of degeneracy. Provides a model for subsequent developments such as quadratic programming, M-estimation, and total approximation.

Finite Algorithms in Optimization and Data Analysis (Wiley Series in Probability and Statistics - Applied Probability and Statistics Section)

Science & Math

Osborne, M. R.

Mathematics

wiley

Simplicial Algorithms for Minimizing Polyhedral Functions

This book provides the first general account of the development of simplicial algorithms. These include the ubiquitous simplex method of linear programming widely used in industrial optimization and strategic decision making and methods important in data analysis, such as problems involving very large data sets. The theoretical development is based on a new way of representing the underlying geometry of polyhedra functions (functions whose graphs are made up of plane faces), and is capable of resolving problems that occur when combinatorially large numbers of faces intersect at each vertex.

Computers & Technology

Programming

Cambridge University Press

The de Grainville Manuscripts: Élus Coëns Ritual and Instruction from the Eighteenth Century (The Élus Coën Library)

Politics & Social Sciences

Social Sciences

Rose Circle Publications

This book provides the first general account of the development of simplicial algorithms.  These include the ubiquitous simplex method of linear programming widely used in industrial optimization and strategic decision making and methods important in data analysis, such as problems involving very large data sets.  The theoretical development is based on a new way of representing the underlying geometry of polyhedra functions (functions whose graphs are made up of plane faces), and is capable of resolving problems that occur when combinatorially large numbers of faces intersect at each vertex.

La Très Sainte Trinosophie, The Most Holy Trinosophia, has been described as “the rarest of occult manuscripts”.\nWhen Manly P. Hall first made the texts available to the English-speaking world, the best available images of the extraordinary manuscript in the library at Troyes, France, known as MS2400, were of poor quality, low resolution and black and white. Thanks to the Institut de Recherche et d’Histoire des Textes (IRHT), founded in 1937 in France as a part of the Centre Nationale de la Recherche Scientifique (CNRS), a massive task was undertaken to study and – more importantly – to make high quality copies of books, parchments documents, papers and papyrus manuscripts from antiquity to the Renaissance and beyond, including all such finds in the Mediterranean basin. Over the years, and using increasingly sophisticated equipment, they have made available images of earlier documents of extraordinary clarity and fidelity, which are extensively used in the academic field for study. These are now made available in this book with the express permission of the IRHT and the Bibliothèque de Troyes.\nThe attribution of the manuscript to Saint Germain is due to a bookseller’s note pasted to the front of the manuscript, which, without further proof, remains moot.\nThe translator has taken great pains to offer a book which, rather than being a dry academic resumé of the origins of the book, is an opportunity to experience the book as those would have done for the first time when it came to light. As well as providing an enlightening Introduction, in which he compares the book to the Egyptian Book of the Dead, and discusses a number of theories concerning the book, given the further knowledge we have acquired in the intervening years from the 1930s, he presents the book in its entirety as a medium for contemplation and meditation. I particularly like the fact that he has given the work such prominence in the book, placing it immediately after his initial commentary, instead of relegating it to an Appendix. This allows the reader to gain some signposts from his expert commentary, before moving directly into gaining personal insight from the images in the book.\nIndeed, the book should be experienced, then studied in its original form before moving onto the translation, which now has an opportunity to be used as a supportive tool, rather than as the immediate purpose of this translation. This way the reader will have an opportunity to contemplate what the images mean to him or her, before reading the accompanying text. In a way this translation benefits the anglophone over the francophone, since it allows this intermediate step to take place without the intervention of words.\nOriginal hardback edition for collectors.

The Most Holy Trinosophia - A Book of the Dead

Literature & Fiction

Genre Fiction

The theme of the book is an exploration of the myth of the Brazen Serpent as a cipher for the "Divine Code" concealed within everything about us. The book explores its theme through the paths of numerology, geometry and allegory, among others. Using the image of the Brazen Serpent which Moses created and placed among the Hebrews wandering in the desert to protect them from the attacks of the serpents, the author considers the symbol of the serpent in its widest sense, not only from the notion of the Brazen Serpent as a symbol for Christ, but also from the point of the view of the Kabbalah, tracing the use of this potent symbol into more recent esoteric Orders.\nThe book comes with extensive tables including a selected bibliography; an index of biblical texts quoted; and an index of persons, places and subjects.

The Brazen Serpent: Chaos and Order

Religion & Spirituality

Christian Books & Bibles

Whitestone Esoteric

Martinez de Pasqually: Treatise on the Reintegration of Beings Into Their Original Property, Virtue and Divine, Spiritual Power (The Élus Coën Library)

Occult & Paranormal

Independently published

The Most Holy Trinosophia: A Book of the Dead

The Alchemy of William Blake: The Three Principles of the Divine Essence and 'An Allegory of the Spiritual Condition of Man'

Arts & Photography

History & Criticism

The Threefold Anglican Ministry: In the Writings of Thomas Cranmer, Richard Hooker and Jeremy Taylor (The Polity of the Church of England)

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