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Sacred Pathways reveals nine distinct spiritual temperaments--and their strengths, weaknesses, and tendencies--to help you improve your spiritual life and deepen your personal walk with God. It's time to strip away the frustration of a one-size-fits-all spirituality and discover a path of worship that frees you to be you. Experienced spiritual directors, pastors, and church leaders recognize that all of us engage with God differently, and it's about time we do too. In this updated and expanded edition of Sacred Pathways, Gary Thomas details nine spiritual temperaments and--like the Enneagram and other tools do with personality--encourages you to investigate the ways you most naturally express yourself in your relationship with God. He encourages you to dig into the traits, strengths, and pitfalls in your devotional approach so you can eliminate the barriers that keep you locked into rigid methods of worship and praise. Plus, as you begin to identify and understand your own temperament, you'll soon learn about the temperaments that aren't necessarily "you" but that may help you understand the spiritual tendencies of friends, family, and others around you. Whatever temperament or blend of temperaments best describes you, rest assured it's not by accident. It's by the design of a Creator who knew what he was doing when he made you according to his own unique intentions. If your spiritual walk is not what you'd like it to be, you can change that, starting here. Sacred Pathways will show you the route you were made to travel, marked by growth and filled with the riches of a close walk with God. A Sacred Pathways video Bible study is also available for group or individual use, sold separately.
This monograph is concerned with the three main aspects of dealing with multiple reflections in seismic prospecting and aims to substantiate a set of new techniques for their more effective suppression. To increase the accuracy of the Earth's physical parameter estimates (1-D, 2-D and 3-D cases) earlier time intervals for seismic records are used in combination with the subtraction of predicted materials from target intervals in the course of seismic data inversion. The automated identification of multiple events on seismic records in the course of data interpretation is discussed with the aim of improving the reliability with which structural and stratigraphic traps can be located. In order to increase the signal to noise ratio modern techniques for the suppression of multiples (on either 2-D or 3-D records) based on the difference between propagation velocities of multiple and primary waves in the course of data processing are considered. The book provides a description of general concepts then focuses on the methodology of data processing and interpretation; including theory, computational algorithms, stability and noise-immunity considerations. Special attention is given to the practical implementation of the techniques proposed. Finally, using a large amount of both model and real data examples, the book illustrates how to improve the resultant seismic data by the use of developed multiple identification and suppression techniques in various geologic environments.
A relaxed and informal presentation conveying the joy of mathematical discovery and insight. Frequent questions lead readers to see mathematics as an accessible world of thought, where understanding can turn opaque formulae into beautiful and meaningful ideas. The text presents eight topics that illustrate the unity of mathematical thought as well as the diversity of mathematical ideas. Drawn from both "pure" and "applied" mathematics, they include: spirals in nature and in mathematics; the modern topic of fractals and the ancient topic of Fibonacci numbers; Pascals Triangle and paper folding; modular arithmetic and the arithmetic of the infinite. The final chapter presents some ideas about how mathematics should be done, and hence, how it should be taught. Presenting many recent discoveries that lead to interesting open questions, the book can serve as the main text in courses dealing with contemporary mathematical topics or as enrichment for other courses. It can also be read with pleasure by anyone interested in the intellectually intriguing aspects of mathematics.
Major survey offers comprehensive, coherent discussions of analytic geometry, algebra, differential equations, calculus of variations, functions of a complex variable, prime numbers, linear and non-Euclidean geometry, topology, functional analysis, more. 1963 edition.
Dietrich Bonhoeffer was just thirty-nine years old when he was executed by the Nazis in 1945, yet his influence on Christian theology and life has been enormous. "A testament to freedom" takes readers along a biographical-historical journey that follows Bonhoeffer through the various stages of his life and career, including his final years in the underground resistance against the Nazi government and his subsequent martyrdom. This book features previously untranslated writings, sermons, and selections from his letters spanning his entire pastoral-theological career, including his prison letters
Loose, baggy sentences - Faulty connections - III-matched partners - Mismanaged numbers and references - Problems with punctuation - The parts of a sentence.
Through this book, upper undergraduate mathematics majors will master a challenging yet rewarding subject, and approach advanced studies in algebra, number theory and geometry with confidence. Groups, rings and fields are covered in depth with a strong emphasis on irreducible polynomials, a fresh approach to modules and linear algebra, a fresh take on Gröbner theory, and a group theoretic treatment of Rejewski's deciphering of the Enigma machine. It includes a detailed treatment of the basics on finite groups, including Sylow theory and the structure of finite abelian groups. Galois theory and its applications to polynomial equations and geometric constructions are treated in depth. Those interested in computations will appreciate the novel treatment of division algorithms. This rigorous text 'gets to the point', focusing on concisely demonstrating the concept at hand, taking a 'definitions first, examples next' approach. Exercises reinforce the main ideas of the text and encourage students' creativity.
Many churches are switching to the multisite or multiservice models to manage crowded sanctuaries due to growing attendance. This solution seems sensible in the short term, but too often churches adopt this model without taking into consideration what the Bible says about it. Illuminating the importance of physical togetherness as a way to protect the gospel, this book argues that maintaining a single assembly best embodies the unity the church possesses in Jesus Christ. Jonathan Leeman considers a series of biblical, theological, and pastoral arguments that ask us to stop and examine intuitions or assumptions about what a church is. He reorients our minds to a biblical definition of church, offering examples of churches that have thrived with a single service at a single site and compelling alternatives for those looking to solve the complications that come with a growing church.