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This text discusses spectral graph theory.
The Bible played a vital role in the lives, theology, and practice of the Protestant Reformers. These essays from the 2016 Wheaton Theology Conference bring together the reflections of church historians and theologians on the nature of the Bible as "the people's book," considering themes such as access to Scripture, the Bible's role in worship, and theological interpretation.
What is a «good life» and how can it be achieved? In this volume, communication scholars and media experts explore these fundamental questions about human existence and aspiration in terms of what a «good life» might look like in a contemporary, mediatized society. While in many ways a mediatized society brings us closer to some version of the «good life», it also leads us away from it. The affordances of new technologies seem to have shifted, for many, from an opportunity to an obligation. Rather than choosing when and where to be connected to these larger networks of information and acquaintances, we feel we must be permanently available, thus losing the luxury of controlling our time and attention. This volume illuminates the complexity of our modern era, exploring how society can leverage exciting new opportunities whilst recognizing the complex challenges we face in a time of constant change. It helps us understand how we have come to this point and where we may be going so that we may study the opportunities and the dangers, the chances and the risks, that digital media pose in our quest for some version of «the good life».
Wavelets are a mathematical development that may revolutionize the world of information storage and retrieval according to many experts. They are a fairly simple mathematical tool now being applied to the compression of data--such as fingerprints, weather satellite photographs, and medical x-rays--that were previously thought to be impossible to condense without losing crucial details. This monograph contains 10 lectures presented by Dr. Daubechies as the principal speaker at the 1990 CBMS-NSF Conference on Wavelets and Applications. The author has worked on several aspects of the wavelet transform and has developed a collection of wavelets that are remarkably efficient.
The book provides an introduction to minimax methods in critical point theory and shows their use in existence questions for nonlinear differential equations. An expanded version of the author's 1984 CBMS lectures, this volume is the first monograph devoted solely to these topics. Among the abstract questions considered are the following: the mountain pass and saddle point theorems, multiple critical points for functionals invariant under a group of symmetries, perturbations from symmetry, and variational methods in bifurcation theory. The book requires some background in functional analysis and differential equations, especially elliptic partial differential equations. It is addressed to mathematicians interested in differential equations and/or nonlinear functional analysis, particularly critical point theory.
The 2012 Wheaton Theology Conference was convened around the formidable legacy of Lutheran pastor, theologian and anti-Nazi resistant Dietrich Bonhoeffer. This collection, focusing on the man's views of Christ, the church and culture, contributes to a recent awakening of interest in Bonhoeffer among evangelicals.