This book discusses regular powers and symbolic powers of ideals from three perspectives– algebra, combinatorics and geometry – and examines the interactions between them. It invites readers to explore the evolution of the set of associated primes of higher and higher powers of an ideal and explains the evolution of ideals associated with combinatorial objects like graphs or hypergraphs in terms of the original combinatorial objects. It also addresses similar questions concerning our understanding of the Castelnuovo-Mumford regularity of powers of combinatorially defined ideals in terms of the associated combinatorial data. From a more geometric point of view, the book considers how the relations between symbolic and regular powers can be interpreted in geometrical terms. Other topics covered include aspects of Waring type problems, symbolic powers of an ideal and their invariants (e.g., the Waldschmidt constant, the resurgence), and the persistence of associated primes.

Deconstructing “Ideal Power Europe”: The EU and Arab Change criticizes the dominant discourse on European foreign policy, which represents the EU as a force for good in world politics. Using a poststructuralist approach, it deconstructs the EU’s representation as “an ideal power” through an analysis of European foreign policy on the Southern Mediterranean before and after the Arab uprisings. In this endeavor, it displaces three major discourses which construct the EU as “ideal”: the “postmodern and post-sovereign EU”, “the EU as a model/a virtuous example”, and, “the EU as a normative power” discourses. The major argument of the book is that the “ideal power Europe” meta-narrative is especially produced and reproduced in the EU’s approach towards the Southern Mediterranean, and, it manifests itself through the rhetoric of “responsibility” and “universality” in the aftermath of the Arab uprisings. The book also provides an analysis of how the “ideal power Europe” meta-narrative feeds into and legitimizes European governmentality in the world, in general, and, in the case of the Southern Mediterranean after the Arab uprisings, in particular. Arguing that the depiction of the EU as postmodern/post-sovereign, as a model/an exemplar, and as a normative power pertains to the representation of a “regulatory ideal”, it elucidates how the EU pursues hegemonic practices in the Southern Mediterranean. It further manifests how the EU’s governmentality is marked by a securitized, depoliticizing, and technocratic approach which feeds into and gets legitimized by the dominant discourse on European foreign policy; reproducing the EU’s “ideal” identity vis-à-vis its “imperfect” Arab other.

This book reports on advanced theories and methods aimed at characterizing the dynamics of non-ideal compressible fluids. A special emphasis is given to research fostering the use of non-ideal compressible fluids for propulsion and power engineering. Both numerical and experimental studies, as well as simulations, are described in the book, which is based on selected contributions and keynote lectures presented at the 2nd International Seminar on Non-Ideal Compressible-Fluid Dynamics for Propulsion & Power. Held on October 4-5 in Bochum, Germany, the seminar aimed at fostering collaborations between academics and professionals. The two perspectives have been gathered together in this book, which offers a timely guide to advanced fundamentals, innovative methods and current applications of non-ideal compressible fluids to developing turbomachines, and for propulsion and power generation.

An introduction to the modern theory of ideas.

Power series provide a technique for constructing examples of commutative rings. In this book, the authors describe this technique and use it to analyse properties of commutative rings and their spectra. This book presents results obtained using this approach. The authors put these results in perspective; often the proofs of properties of classical examples are simplified. The book will serve as a helpful resource for researchers working in commutative algebra.

The Wheel of Ideals shows three families of ideals, the heroic, civic and altruistic, that sometimes work together and sometimes conflict. Every ideal has its true believers, and unbelievers: some people believe in it strongly, others less strongly, and others not at all--or so they claim. As ideals divide, people also divide. We can't all get along, perfectly, all the time, even with ourselves. Why not? Do we need conflict to make progress? Is perfect peace too peaceful? As ideals can be ignored or betrayed, they can also be carried too far, into decadence: dionysian overheating and the apollonian deep freeze. If you carried an ideal too far, how would you come to realize your mistake? How would you feel the gravity, the balancing pull, of the ideal calling you home? Without failure, without going too far, what is lost? What is the good of all these ideals, and these forms of decadence? The Wheel of Ideals suggests that we will go on asking these questions.

Multiplicative Theory of Ideals

This carefully edited collection has been designed and formatted to the highest digital standards and adjusted for readability on all devices. The Art of Logical Thinking The Crucible of Modern Thought Dynamic Thought How to Read Human Nature The Inner Consciousness The Law of the New Thought The Mastery of Being Memory Culture Memory: How to Develop, Train and Use It The Art of Expression and The Principles of Discourse Mental Fascination Mind and Body; or Mental States and Physical Conditions Mind Power: The Secret of Mental Magic The New Psychology Its Message, Principles and Practice New Thought Nuggets of the New Thought Practical Mental Influence Practical Mind-Reading Practical Psychomancy and Crystal Gazing The Psychology of Salesmanship Reincarnation and the Law of Karma The Secret of Mental Magic The Secret of Success Self-Healing by Thought Force The Subconscious and the Superconscious Planes of Mind Suggestion and Auto-Suggestion Telepathy: Its Theory, Facts, and Proof Thought-Culture - Practical Mental Training Thought-Force in Business and Everyday Life Thought Vibration or the Law of Attraction in the Thought World Your Mind and How to Use It The Hindu-Yogi Science Of Breath Lessons in Yogi Philosophy and Oriental Occultism Advanced Course in Yogi Philosophy and Oriental Occultism Hatha Yoga The Science of Psychic Healing Raja Yoga or Mental Development Gnani Yoga The Inner Teachings of the Philosophies and Religions of India Mystic Christianity The Life Beyond Death The Practical Water Cure The Spirit of the Upanishads or the Aphorisms of the Wise Bhagavad Gita The Art and Science of Personal Magnetism Master Mind Mental Therapeutics The Power of Concentration Genuine Mediumship Clairvoyance and Occult Powers The Human Aura The Secret Doctrines of the Rosicrucians Personal Power The Arcane Teachings The Arcane Formulas, or Mental Alchemy Vril, or Vital Magnet

This proceedings volume covers a range of research topics in algebra from the Southern Regional Algebra Conference (SRAC) that took place in March 2017. Presenting theory as well as computational methods, featured survey articles and research papers focus on ongoing research in algebraic geometry, ring theory, group theory, and associative algebras. Topics include algebraic groups, combinatorial commutative algebra, computational methods for representations of groups and algebras, group theory, Hopf-Galois theory, hypergroups, Lie superalgebras, matrix analysis, spherical and algebraic spaces, and tropical algebraic geometry. Since 1988, SRAC has been an important event for the algebra research community in the Gulf Coast Region and surrounding states, building a strong network of algebraists that fosters collaboration in research and education. This volume is suitable for graduate students and researchers interested in recent findings in computational and theoretical methods in algebra and representation theory.