Products related to Factorial:
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Factorial Survey Experiments
Filling a gap in the literature of the field, this first-of-its-kind book provides researchers with a practical guide to using the factorial survey method to assess respondents’ beliefs about the world, judgment principles, or decision rules through multi-dimensional stimuli ("vignettes") that resemble real-life decision-making situations.Using insightful examples to illustrate their arguments, the authors guide researchers through all relevant steps, including how to set up the factorial experimental design (drawing samples of vignettes and respondents), how to handle the practical challenges that must be mastered when an experimental plan with many different treatments is embedded in a survey format, and how to deal with questions of data analysis.In addition to providing the "how-tos" of designing factorial survey experiments, the authors cover recent developments of similar methods, such as conjoint analyses, choice experiments, and more advanced statistical tools.
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An Introduction to the Factorial Design of Experiments (Mathematical Foundations)
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Digital Cultural Heritage
This book provides an overview of various application spheres and supports further innovations needed in information management and in the processes of knowledge generation.The professions, organizations and scientific associations involved are unusually challenged by the complexity of the data situation.Cartography has always been the central field of application for georeferencing digital cultural heritage (DCH) objects.It is particularly important in enabling spatial relation analysis between any number of DCH objects or of their granular details.In addition to the pure geometric aspects, the cognitive relations that lead to knowledge representation and derivation of innovative use processes are also of increasing importance.Further, there is a societal demand for spatial reference and analytics (e.g. the extensive use of cognitive concepts of "map" and "atlas" for a variety of social topics in the media).There is a huge geometrical-logical-cognitive potential for complex, multimedia, digital-cultural-heritage databases and stakeholders expect handling, transmission and processing operations with guaranteed long-term availability for all other stakeholders.In the future, whole areas of digital multimedia databases will need to be processed to further our understanding of historical and cultural contexts.This is an important concern for the information society and presents significant challenges for cartography in all these domains. This book collects innovative technical and scientific work on the entire process of object digitization, including detail extraction, archiving and interoperability of multimedia DCH data.
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The Cultural Heritage of Meghalaya
The state of Meghalaya, formed on 21 January 1972, is a state of fascinating socio-cultural significance.Its heritage can be traced from the prehistoric times of Stone Age upto the present.Though comprising mainly of the matrilineal Khasi, Garo, and Jaintia tribes – the state also houses many other lesser known communities such as the Hajong, Sakachep, Biate, Koch, Dalu, Margnar and the Nepali.All these communities find voice in this volume. The Cultural Heritage of Meghalaya looks at the state of Meghalaya exhaustively from the perspective of heritage documentation and maintenance.
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How can one simplify 70 factorial by 60 factorial?
To simplify 70 factorial by 60 factorial, we can cancel out the common terms in both factorials. This can be done by dividing 70! by 60! to get the remaining terms. In this case, we would divide 70! by 60! to get 70*69*68*67*66*65*64*63*62*61. This simplifies the expression and reduces the number of terms in the factorial.
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What is the negative factorial?
The negative factorial is not a valid mathematical concept. Factorials are only defined for non-negative integers. The factorial of a negative number is undefined and does not have a meaningful interpretation in mathematics.
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When is the factorial used?
The factorial is used in mathematics to calculate the number of ways to arrange a set of objects. It is commonly used in combinatorics and probability to calculate permutations and combinations. Factorials are also used in calculus and other areas of mathematics to simplify and solve equations. Additionally, factorials are used in computer science and programming to solve various problems and algorithms.
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What is the factorial in mathematics?
In mathematics, the factorial of a non-negative integer is the product of all positive integers less than or equal to that number. It is denoted by the exclamation mark (!). For example, the factorial of 5 (written as 5!) is equal to 5 x 4 x 3 x 2 x 1, which equals 120. Factorials are commonly used in combinatorial mathematics and probability theory.
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Analytical Chemistry for Cultural Heritage
The series Topics in Current Chemistry Collections presents critical reviews from the journal Topics in Current Chemistry organized in topical volumes.The scope of coverage is all areas of chemical science including the interfaces with related disciplines such as biology, medicine and materials science.The goal of each thematic volume is to give the non-specialist reader, whether in academia or industry, a comprehensive insight into an area where new research is emerging which is of interest to a larger scientific audience.Each review within the volume critically surveys one aspect of that topic and places it within the context of the volume as a whole.The most significant developments of the last 5 to 10 years are presented using selected examples to illustrate the principles discussed.The coverage is not intended to be an exhaustive summary of the field or include large quantities of data, but should rather be conceptual, concentrating on the methodological thinking that will allow the non-specialist reader to understand the information presented.Contributions also offer an outlook on potential future developments in the field.
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Cultural Heritage and Mass Atrocities
A pathbreaking call to halt the intertwined crises of cultural heritage attacks and mass atrocities and mobilize international efforts to protect people and cultures. Intentional destruction of cultural heritage has a long history.Contemporary examples include the Bamiyan Buddhas in Afghanistan, mosques in Xinjiang, mausoleums in Timbuktu, and Greco-Roman remains in Syria.Cultural heritage destruction invariably accompanies assaults on civilians, making heritage attacks impossible to disentangle from the mass atrocities of genocide, war crimes, crimes against humanity, and ethnic cleansing.Both seek to eliminate people and the heritage with which they identify.Cultural Heritage and Mass Atrocities assembles essays by thirty-eight experts from the heritage, social science, humanitarian, legal, and military communities.Focusing on immovable cultural heritage vulnerable to attack, the volume's guiding framework is the Responsibility to Protect (R2P), a United Nations resolution adopted unanimously in 2005 to permit international intervention against crimes of war or genocide.Based on the three pillars of prevent, react, and rebuild, R2P offers today's policymakers a set of existing laws and international norms that can and--as this book argues--must be extended to the protection of cultural heritage.Contributions consider the global value of cultural heritage and document recent attacks on people and sites in China, Guatemala, Iraq, Mali, Sri Lanka and Afghanistan, Syria, and Yemen.Comprehensive sections on vulnerable populations as well as the role of international law and the military offer readers critical insights and point toward research, policy, and action agendas to protect both people and cultural heritage.A concise abstract of each chapter is offered online in Arabic, Chinese, French, Russian, and Spanish to facilitate robust, global dissemination of the strategies and tactics offered in this pathbreaking call to action. The free online edition of this publication is available at getty.edu/publications/cultural-heritage-mass-atrocities.Also available are free PDF, EPUB, and Kindle/MOBI downloads of the book.
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Cultural Heritage and the Future
Cultural Heritage and the Future brings together an international group of scholars and experts to consider the relationship between cultural heritage and the future. Drawing on case studies from around the world, the contributing authors insist that cultural heritage and the future are intimately linked and that the development of futures thinking should be a priority for academics, students and those working in the wider professional heritage sector.Until recently, the future has never attracted substantial research and debate within heritage studies and heritage management, and this book addresses this gap by offering a balance of theoretical and empirical content that will stimulate multidisciplinary debate in the burgeoning field of critical heritage studies. Cultural Heritage and the Future questions the role of heritage in future making and will be of great relevance to academics and students working in the fields of museum and heritage studies, archaeology, anthropology, architecture, conservation studies, sociology, history and geography.Those working in the heritage professions will also find much to interest them within the pages of this book.
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Cultural Disjunctions : Post-Traditional Jewish Identities
The identity of contemporary Jews is multifaceted, no longer necessarily defined by an observance of the Torah and God’s commandments.Indeed, the Jews of modernity are no longer exclusively Jewish.They are affiliated with a host of complementary and sometimes clashing communities—vocational, professional, political, and cultural—whose interests may not coincide with that of the community of their birth and inherited culture.In Cultural Disjunctions, Paul Mendes-Flohr explores the possibility of a spiritually and intellectually engaged cosmopolitan Jewish identity for our time.Reflecting on the need to participate in the spiritual life of Judaism so that it enables multiple relations beyond its borders and allows one to balance Jewish commitment with a genuine obligation to the universal, Mendes-Flohr lays out what this delicate balance can look like for contemporary Jews, both in Israel and in diasporic communities worldwide.Cultural Disjunctions walks us through the labyrinth of twentieth-century Jewish cultural identities and commitments.Ultimately, Mendes-Flohr calls for Jews to remain “discontent,” not just with themselves but also and especially with the reigning social and political order, and to fight for its betterment.
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How can one simplify the factorial?
One can simplify the factorial by using the formula n! = n * (n-1)!. This means that the factorial of a number is equal to the number multiplied by the factorial of the number minus one. By repeatedly applying this formula, one can simplify the factorial expression to a smaller number. Additionally, one can use the properties of factorials to simplify expressions, such as cancelling out common factors in the numerator and denominator.
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What is the factorial of 0?
The factorial of 0 is defined to be 1. This is because the factorial of a non-negative integer n is the product of all positive integers less than or equal to n. Since there are no positive integers less than 0, the factorial of 0 is defined to be 1 by convention.
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How do I square a factorial?
To square a factorial, you would first calculate the factorial of the number, then multiply that result by itself. For example, to square the factorial of 4 (4!), you would first find 4! (which is 4 x 3 x 2 x 1 = 24) and then multiply 24 by itself to get the square of 4! (24 x 24 = 576).
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How do you prove the factorial?
To prove the factorial of a non-negative integer n, denoted as n!, we can use mathematical induction. First, we prove the base case, which is n=0 or n=1, where 0! and 1! are defined as 1. Then, we assume that the factorial holds for some k, and use this assumption to prove that it also holds for k+1. By showing that the factorial property holds for the base case and that it implies the property for the next value, we can conclude that the factorial property holds for all non-negative integers.
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