Products related to Discontinuity:
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Discontinuity to Continuity
What is the best framework for reading the Bible?The question of how to relate the Old and New Testaments is as old as the Bible itself.While most Protestants are unified on the foundations, there are major disagreements on particular issues.Who should be baptized? Is the Christian obligated to obey the Law of Moses?Does the church supplant Israel? Who are the proper recipients of God's promises to Israel?In Discontinuity to Continuity, Benjamin Merkle brings light to the debates between dispensational and covenantal theological systems.Merkle identifies how Christians have attempted to relate the Testaments, placing viewpoints along a spectrum of discontinuity to continuity.Each system's concerns are sympathetically summarized and critically evaluated.Through his careful exposition of these frameworks, Merkle helps the reader understand the key issues in the debate.Providing more light than heat, Merkle's book will help all readers better appreciate other perspectives and articulate their own.
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Treatment of Acetabular Bone Loss and Chronic Pelvic Discontinuity
Edited and written by pioneers and experts in the field, Treatment of Acetabular Bone Loss and Chronic Pelvic Discontinuity is the first text to provide focused, practical content on the effective evaluation and treatment of this challenging problem.Comprehensive and easy to follow, it offers a step-by-step approach to teach surgeons how to tailor their surgery to each individual patient's anatomy with the goal of improving patient outcomes. Provides focused content in a templated, easy-to-read format, with expert commentary from a global team of authors who are renowned for their particular surgical technique. Includes case examples, surgical pearls to follow, and common tendencies to avoid in order to prevent complications and optimize surgical outcomes. Contains high-quality photos throughout that walk you through the procedures. Features videos for each surgical technique, allowing you to preoperatively plan for highly complex surgical techniques and access all alternative techniques in one location. An eBook version is included with purchase. The eBook allows you to access all of the text, figures and references, with the ability to search, customize your content, make notes and highlights, and have content read aloud.
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A Practical Introduction to Regression Discontinuity Designs : Foundations
In this Element and its accompanying second Element, A Practical Introduction to Regression Discontinuity Designs: Extensions, Matias Cattaneo, Nicolás Idrobo, and Rociìo Titiunik provide an accessible and practical guide for the analysis and interpretation of regression discontinuity (RD) designs that encourages the use of a common set of practices and facilitates the accumulation of RD-based empirical evidence.In this Element, the authors discuss the foundations of the canonical Sharp RD design, which has the following features: (i) the score is continuously distributed and has only one dimension, (ii) there is only one cutoff, and (iii) compliance with the treatment assignment is perfect.In the second Element, the authors discuss practical and conceptual extensions to this basic RD setup.
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A Practical Introduction to Regression Discontinuity Designs : Extensions
In this Element, which continues our discussion in Foundations, the authors provide an accessible and practical guide for the analysis and interpretation of Regression Discontinuity (RD) designs that encourages the use of a common set of practices and facilitates the accumulation of RD-based empirical evidence.The focus is on extensions to the canonical sharp RD setup that we discussed in Foundations.The discussion covers (i) the local randomization framework for RD analysis, (ii) the fuzzy RD design where compliance with treatment is imperfect, (iii) RD designs with discrete scores, and (iv) and multi-dimensional RD designs.
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What is a proof of discontinuity?
A proof of discontinuity is a mathematical argument that shows that a function is not continuous at a certain point or over a certain interval. This proof typically involves showing that the function does not satisfy the definition of continuity, which requires that the function's limit exists at the point in question and is equal to the function's value at that point. This can be done by finding a specific point or sequence of points where the function's limit does not exist or is not equal to the function's value. This provides evidence that the function is not continuous at that point or over that interval.
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How do you calculate discontinuity points?
Discontinuity points in a function can be calculated by identifying where the function is not continuous. This can occur at points where the function has a jump discontinuity, a removable discontinuity, or an infinite discontinuity. To find jump discontinuities, look for points where the function has a sudden change in value. Removable discontinuities can be found by identifying points where the function is undefined or has a hole in the graph. Infinite discontinuities occur when the function approaches positive or negative infinity at a certain point. By analyzing these characteristics, one can calculate the discontinuity points in a function.
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Is a removable discontinuity a vertical asymptote?
No, a removable discontinuity is not a vertical asymptote. A removable discontinuity occurs when a function is undefined at a certain point but can be redefined to make the function continuous at that point. On the other hand, a vertical asymptote occurs when a function approaches infinity as it gets closer to a certain point, resulting in a vertical line that the function cannot cross.
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What is the discontinuity minimum and maximum?
The discontinuity minimum is the smallest gap or jump in a function's graph where the function is not continuous. It represents the smallest break in the function's continuity. The discontinuity maximum, on the other hand, is the largest gap or jump in a function's graph where the function is not continuous. It represents the largest break in the function's continuity.
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Government and Politics of the Contemporary Middle East : Discontinuity and Turbulence
This exciting new edition of the successful textbook for students of Middle Eastern politics provides a highly relevant and comprehensive introduction to the complexities of a region in constant flux.Combining a thematic framework for examining patterns of politics with individual chapters dedicated to specific countries, the book places the very latest developments and long-standing issues within an historical context.This third edition extends its analysis to post-2015 developments in the region, as well as expanding the range of pedagogical features on offer. Presenting information in an accessible and inclusive format, the book offers:Coverage of the historical influence of colonialism and major world powers on the shaping of the modern Middle EastA detailed examination of the legacy of IslamAnalysis of the political and social aspects of Middle Eastern life, including alienation between the state and society, poverty and social inequality, and ideological crisis and renewalCase studies on countries in the Fertile Crescent (Iraq, Syria and Lebanon, and Israel/Palestine); the Northern Belt (Turkey and Iran); and those West and East of the Red Sea (Egypt and the members of the Gulf Cooperation Council)A key introductory text for students of Middle Eastern politics and history at advanced undergraduate and postgraduate levels, this new edition has been extensively updated to also become a timely and significant reference for policy-makers and any motivated reader.
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Heritage Tourism
Heritage Tourism provides a balanced view of both theoretical issues and applied subjects that managers must deal with on a daily basis.These concepts are illustrated throughout the text via examples and boxed case studies. With the rapid growth of special interest travel during the past two decades, the demand for heritage tourism experiences has soared, and its economic and socio-cultural importance cannot be overstated.This book addresses this booming type of tourism and will prove to be a valuable resource for educators, students, and practitioners in the field of heritage tourism.
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Restoring Heritage Grains : The Culture, Biodiversity, Resilience, and Cuisine of Ancient Wheats
Including recipes for baking with EinkornWheat is the most widely grown crop on our planet, yet industrial breeders have transformed this ancient staff of life into a commodity of yield and profit—witness the increase in gluten intolerance and 'wheat belly’. Modern wheat depends on synthetic fertilizer and herbicides that damage our health, land, water, and environment.Fortunately, heritage ‘landrace' wheats that evolved over millennia in the organic fields of traditional farms do not need bio-chemical intervention to yield bountifully, are gluten-safe, have rich flavor and high nutrition.Yet the robust, majestic wheats that nourished our ancestors are on the verge of extinction. In Restoring Heritage Grains, author Eli Rogosa of the Heritage Grain Conservancy, invites readers to restore forgotten wheats such as delicious gluten-safe einkorn that nourished the first Neolithic farmers, emmer—the grain of ancient Israel, Egypt, and Rome that is perfect for pasta and flatbreads, rare durums that are drought-tolerant and high in protein, and many more little known wheat species, each of which have a lineage intertwined with the human species and that taste better than any modern wheat. Restoring Heritage Grains combines the history of grain growing and society, in-depth practical advice on landrace wheat husbandry, wheat folk traditions and mythology, and guidelines for the Neolithic diet with traditional recipes for rustic bread, pastry and beer.Discover the ancient grains that may be one of the best solutions to hunger today, and provide resilience for our future.
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Japanese Celebrations for Children : Festivals, Holidays and Traditions
This multicultural children's book is full of activities, recipes, songs and stories!Brimming with ancient traditions, exciting decorations, and delicious, seasonal foods, Japanese Celebrations for Children will take you on a month-by-month tour of some of Japan's best-loved festivals. Beautifully illustrated and full of fascinating facts about Japanese holidays and family celebrations, this 48-page picture book offers a vivid picture of some of Japan's most festive events including New Year's, Children's Day, Cherry Blossom Festival, Harvest Moon Viewing, weddings, birthdays, Christmas in Japan and much more!With entertaining text and illustrations that explain the significance of the dress, decorations, foods, gifts and activities associated with these events, Japanese Celebrations for Children promises to delight and educate young readers and parents alike.
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Is a zero that is also a point of discontinuity always a removable point of discontinuity in rational functions?
No, a zero that is also a point of discontinuity in a rational function is not always a removable point of discontinuity. A removable point of discontinuity occurs when a function is undefined at a certain point, but can be redefined at that point to make the function continuous. However, if the zero is also a point of discontinuity due to a vertical asymptote or a hole in the graph, then it is not a removable point of discontinuity. In this case, the function cannot be redefined at that point to make it continuous.
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What is a rational function with a discontinuity?
A rational function with a discontinuity is a function that can be expressed as the ratio of two polynomials, where the denominator polynomial has a root that makes the function undefined. This can happen when the denominator polynomial has a factor that cancels out with a factor in the numerator, resulting in a hole or vertical asymptote in the graph of the function. Discontinuities in rational functions can be classified as removable (holes), infinite (vertical asymptotes), or jump (removable or non-removable).
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What is the minimum and maximum of discontinuity?
The minimum of discontinuity is when there is a small interruption or break in a sequence or function. This could be a single point of discontinuity, such as a hole in a graph. The maximum of discontinuity would be when the function is completely undefined or discontinuous over a larger interval, such as a vertical asymptote.
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How do you calculate discontinuities and points of discontinuity?
To calculate discontinuities and points of discontinuity, you first need to identify the function's domain and determine where it is not defined. Discontinuities can occur at points where the function is not continuous, such as jump, infinite, or removable discontinuities. Points of discontinuity can be found by analyzing the behavior of the function around these points, such as approaching from the left and right sides to see if the function approaches the same value. By examining these aspects, you can determine the type and location of discontinuities in a function.
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