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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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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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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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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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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The Art of Japanese Architecture : History / Culture / Design
The Art of Japanese Architecture presents a complete overview of Japanese architecture in its historical and cultural context.The book begins with a discussion of early prehistoric dwellings and concludes with a description of works by important modern Japanese architects.Along the way it discusses the iconic buildings and architectural styles for which Japan is so justly famous—from elegant Shinden and Sukiya aristocratic villas like the Kinkakuji "Golden Pavilion" in Kyoto, to imposing Samurai castles like Himeji and Matsumoto, and tranquil Zen Buddhist gardens and tea houses to rural Minka thatched-roof farmhouses and Shinto shrines.Each period in the development of Japan's architecture is described in detail and the most important structures are shown and discussed—including dozens of UNESCO World Heritage Sites.The aesthetic trends in each period are presented within the context of Japanese society at the time, providing a unique in-depth understanding of the way Japanese architectural styles and buildings have developed over time and the great variety that is visible today. The book is profusely illustrated with hundreds of hand-drawn 3D watercolor illustrations and color photos as well as prints, maps and diagrams.The new edition features dozens of new photographs and a handy hardcover format that is perfect for travelers.
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Tar Heel Traveler : 201 North Carolina Landmarks and Attractions
Tar Heel Traveler Attractions & Adventures will celebrate the many great places across North Carolina, from historic landmarks to little known nooks and crannies.The book includes museums, gardens, bakeries, theatres, lighthouses, even cemeteries—attractions he has showcased on his popular TV show.His nightly series is in its 16th year on WRAL-TV, the NBC affiliate in Raleigh, and features colorful characters and fascinating locations across the state.On average, 82,000 viewers watch the Tar Heel Traveler each night, and more than 30,000 people follow him on social media.Mason writes about these unique places in the book, including their contact information, and devotes a page of copy to each one.He also includes photos, about three per attraction/adventure.Since each of the places appeared as television stories, freeze frames from those TV videos are being converted to photographs for the printed page.
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Visitor Attractions and Events : Locations and linkages
Both visitor attractions and events play pivotal roles in the appeal of tourism destination regions to visitors by virtue of being the main motivator of tourist trips and determining consumers’ choices.However, more recently visitor attractions have become more multifaceted, have proliferated and fragmented in terms of form, location, scale and style, and their role is undergoing major changes in a post-modern world as a result of consumer demands and competitive innovations.Visitor Attractions and Events for the first time theoretically and empirically explores the relations between events and attractions to offer new thinking of the role of space and place in shaping development, management practices and strategies in the sector as well as future implications.The book reveals how location is pivotal in the development, planning, and management of visitor attractions and events.Whereas the location of natural attractions is relatively fixed in space and their locations cannot be predetermined or relocated, human-made or contrived attractions are more influenced by the planning process in the context of the locational decision-making process.Competition and cooperation between visitor attractions and the aspects which shape these relations, including complementarities, compatibility, knowledge spill overs and diffusion of innovations, product similarities and spatial proximity remain largely ignored in the visitor attraction sector and thus are major elements in the focus of this book.Comparative examples ranging from small to major attractions in a wide variety of locations are included. This significant volume will appeal widely to all those interested in the visitor sector, such as tourism, events, leisure studies, destination management and sociology.
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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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