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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Evaluation in Today’s World : Respecting Diversity, Improving Quality, and Promoting Usability
Recipient of a 2021 Most Promising New Textbook Award from the Textbook & Academic Authors Association (TAA) Evaluation in Today’s World: Respecting Diversity, Improving Quality, and Promoting Usability is a timely and comprehensive textbook that guides students, practitioners, and users of evaluations in understanding evaluation purposes, theories, methodologies, and challenges within today’s sociocultural and political context.Veronica G. Thomas and Patricia B. Campbell include discussions of evaluation history, frameworks, models, types, planning, and methods, through a social justice, diversity, and inclusive lens.The authors focus on ethics in diverse cultural contexts, help readers understand how social problems and programs get politicized and, sometimes, framed through a racialized lens, show how to engage stakeholders in the evaluation process, and communicate results in culturally appropriate ways. Included with this title: The password-protected Instructor Resource Site (formally known as SAGE Edge) offers access to all text-specific resources, including a test bank and editable, chapter-specific PowerPoint® slides.
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An Introduction to the Factorial Design of Experiments (Mathematical Foundations)
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Usability Testing of Medical Devices
Usability Testing of Medical Devices covers the nitty-gritty of usability test planning, conducting, and results reporting.The book also discusses the government regulations and industry standards that motivate many medical device manufacturers to conduct usability tests. Since publication of the first edition, the FDA and other regulatory groups have modified their regulations and expectations regarding how medical device manufacturers should approach usability testing.Reflecting these changes, this Second Edition provides updated guidance to readers with an interest or direct role in conducting a usability test of a medical device or system.Key updates involve the 2011 FDA guidance on human factors engineering, requirements set forth by the third edition of IEC 60601 and closely related IEC 62366-1:2015, linking usability test tasks to risk analysis results, and analyzing root causes of use errors that occur during usability tests.Written by seasoned human factors specialists, Usability Testing of Medical Devices, Second Edition is an informative, practical, and up-to-date handbook for conducting usability tests of medical devices.The book helps ensure a smooth and painless development process—and thus, safe and effective medical devices.
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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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Argumentation : Analysis and Evaluation
This book concentrates on argumentation as it emerges in ordinary discourse, whether the discourse is institutionalized or strictly informal.Crucial concepts from the theory of argumentation are systematically discussed and explained with the help of examples from real-life discourse and texts.The basic principles are explained that are instrumental in the analysis and evaluation of argumentative discourse.Methodical instruments are offered for identifying differences of opinion, analyzing and evaluating argumentation and presenting arguments in oral and written discourse.Attention is also paid to the way in which arguers attempt to be not just reasonable, but effective as well, by maneuvering strategically.In addition, the book provides a great variety of exercises and assignments to improve the student’s skill in presenting argumentation. The authors begin their treatment of argumentation theory at the same juncture where argumentation also starts in practice: The difference of opinion that occasions the evolvement of the argumentation.Each chapter begins with a short summary of the essentials and ends with a number of exercises that students can use to master the material.Argumentation is the first introductory textbook of this kind.It is intended as a general introduction for students who are interested in a proper conduct of argumentative discourse.Suggestions for further reading are made for each topic and several extra assignments are added to the exercises. Special features:• A concise and complete treatment of both the theoretical backgrounds and the practice of argumentation analysis and evaluation. • Crucial concepts from pragmatics (speech act theory, Grice’s cooperative principle) presented in a non-technical way; introducing the theory of verbal communication. • The first textbook treatment of strategic maneuvering as a way of balancing being reasonable with being effective• Exercises and assignments based on real-life texts from a variety of contexts.
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Validation of Analytical Methods for Pharmaceutical Analysis
This book provides a comprehensive guide on validating analytical methods.Key features: Full review of the available regulatory guidelines on validation and in particular, ICH. Sections of the guideline, Q2(R1), have been reproduced in this book with the kind permission of the ICH Secretariat; Thorough discussion of each of the validation characteristics (Specificity; Linearity; Range; Accuracy; Precision; Detection Limit; Quantitation Limit; Robustness; System Suitability) plus practical tips on how they may be studied; What to include in a validation protocol with advice on the experimental procedure to follow and selection of appropriate acceptance criteria; How to interpret and calculate the results of a validation study including the use of suitable statistical calculations; A fully explained case study demonstrating how to plan a validation study, what to include in the protocol, experiments to perform, setting acceptance criteria, interpretation of the results and reporting the study.
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Enhancing Learning through Formative Assessment and Feedback
Assessment is a critical aspect of higher education because it has a range of powerful impacts on what staff and students do and how universities operate.Underpinned by relevant theory and practical advice this fully updated new edition takes into account the changing expectation of students in the context of an increasingly complex and shifting higher education environment to promote the role of formative assessment and formative feedback and its impact on shaping the student learning experience.Presented through the lens of contemporary perspectives, empirical evidence, and case studies across a broad range of subject disciplines, this new edition aims to encourage teaching and support staff to focus on the promotion of student learning through designing and embedding high-impact formative assessment processes and activities.Key content covers: the theoretical and philosophical aspects of formative assessment and formative feedback; the learning environment in which students undertake their learning activities, helping teachers develop appropriate formative assessment and provide effective formative feedback; the impact of formative assessment and formative feedback activities have on learning, teaching, and assessment design, as well as on the academic workload of tutors; the contemporary issues and challenges currently driving research into formative assessment; the use of technology in formative assessment and how different tools and technologies allow for the provision of effective and efficient formative feedback; the benefits of understanding how students respond to formative assessment and formative feedback as an opportunity to review the effectiveness of the teaching and learning methods and techniques; the integral role of formative assessment and formative feedback plays in postgraduate research settings; and how innovations in formative assessment and feedback inform key developments in large-scale assessment change.Aimed at both experienced and early career practitioners in higher education, this text is ideal reading for educators who wish to see a movement away from a higher education system driven by summative assessment to one where a more holistic approach to education positions learning standards rather than measurement and grades as central to effective assessment and, crucially, to return to a focus on student learners.
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Multivariable Feedback Control : Analysis and Design
Multivariable Feedback Control: Analysis and Design, Second Edition presents a rigorous, yet easily readable, introduction to the analysis and design of robust multivariable control systems.Focusing on practical feedback control and not on system theory in general, this book provides the reader with insights into the opportunities and limitations of feedback control. Taking into account the latest developments in the field, this fully revised and updated second edition: * features a new chapter devoted to the use of linear matrix inequalities (LMIs); * presents current results on fundamental performance limitations introduced by RHP-poles and RHP-zeros; * introduces updated material on the selection of controlled variables and self-optimizing control; * provides simple IMC tuning rules for PID control; * covers additional material including unstable plants, the feedback amplifier, the lower gain margin and a clear strategy for incorporating integral action into LQG control; * includes numerous worked examples, exercises and case studies, which make frequent use of Matlab and the new Robust Control toolbox. Multivariable Feedback Control: Analysis and Design, Second Edition is an excellent resource for advanced undergraduate and graduate courses studying multivariable control.It is also an invaluable tool for engineers who want to understand multivariable control, its limitations, and how it can be applied in practice.The analysis techniques and the material on control structure design should prove very useful in the new emerging area of systems biology. Reviews of the first edition: "Being rich in insights and practical tips on controller design, the book should also prove to be very beneficial to industrial control engineers, both as a reference book and as an educational tool." Applied Mechanics Reviews "In summary, this book can be strongly recommended not only as a basic text in multivariable control techniques for graduate and undergraduate students, but also as a valuable source of information for control engineers." International Journal of Adaptive Control and Signal Processing
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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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