From Intervals To
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From Intervals To
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Author : Vladik Kreinovich
language : en
Publisher: Springer Nature
Release Date : 2022-11-28
From Intervals To written by Vladik Kreinovich and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-28 with Technology & Engineering categories.
This book is about methodological aspects of uncertainty propagation in data processing. Uncertainty propagation is an important problem: while computer algorithms efficiently process data related to many aspects of their lives, most of these algorithms implicitly assume that the numbers they process are exact. In reality, these numbers come from measurements, and measurements are never 100% exact. Because of this, it makes no sense to translate 61 kg into pounds and get the result—as computers do—with 13 digit accuracy. In many cases—e.g., in celestial mechanics—the state of a system can be described by a few numbers: the values of the corresponding physical quantities. In such cases, for each of these quantities, we know (at least) the upper bound on the measurement error. This bound is either provided by the manufacturer of the measuring instrument—or is estimated by the user who calibrates this instrument. However, in many other cases, the description of the system is more complex than a few numbers: we need a function to describe a physical field (e.g., electromagnetic field); we need a vector in Hilbert space to describe a quantum state; we need a pseudo-Riemannian space to describe the physical space-time, etc. To describe and process uncertainty in all such cases, this book proposes a general methodology—a methodology that includes intervals as a particular case. The book is recommended to students and researchers interested in challenging aspects of uncertainty analysis and to practitioners who need to handle uncertainty in such unusual situations.
Study Of Natural Class Of Intervals Using And
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Author : W. B. Vasantha Kandasamy, Florentin Smarandache, D. Datta, H. S. Kushwaha, P. A. Jadhav
language : en
Publisher: Infinite Study
Release Date : 2011
Study Of Natural Class Of Intervals Using And written by W. B. Vasantha Kandasamy, Florentin Smarandache, D. Datta, H. S. Kushwaha, P. A. Jadhav and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
In this book the authors introduce and study the properties of natural class of intervals built using (-, ) and (, -). The operations on these matrices with entries from natural class of intervals behave like usual reals. So working with these interval matrices takes the same time as usual matrices. Hence, when applying them to fuzzy finite element methods or finite element methods the determination of solution is simple and time saving.
Interval Analysis
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Author : Günter Mayer
language : en
Publisher:
Release Date : 2017
Interval Analysis written by Günter Mayer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Interval analysis (Mathematics) categories.
Music Theory For The Bass Player
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Author : Ariane Cap
language : en
Publisher: CapCat Music Media
Release Date : 2018-12-22
Music Theory For The Bass Player written by Ariane Cap and has been published by CapCat Music Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-22 with Music categories.
Music Theory for the Bass Player is a comprehensive and immediately applicable guide to making you a well-grounded groover, informed bandmate and all-around more creative musician. Included with this book are 89 videos that are incorporated in this ebook. This is a workbook, so have your bass and a pen ready to fill out the engaging Test Your Understanding questions! Have you always wanted to learn music theory but felt it was too overwhelming a task? Perhaps all the books seem to be geared toward pianists or classical players? Do you know lots of songs, but don't know how the chords are put together or how they work with the melody? If so, this is the book for you! • Starting with intervals as music's basic building blocks, you will explore scales and their modes, chords and the basics of harmony. • Packed with fretboard diagrams, musical examples and exercises, more than 180 pages of vital information are peppered with mind-bending quizzes, effective mnemonics, and compelling learning approaches. • Extensive and detailed photo demonstrations show why relaxed posture and optimized fingering are vital for good tone, timing and chops. • You can even work your way through the book without being able to read music (reading music is of course a vital skill, yet, the author believes it should not be tackled at the same time as the study of music theory, as they are different skills with a different practicing requirement. Reading becomes much easier once theory is mastered and learning theory on the fretboard using diagrams and patterns as illustrations, music theory is very accessible, immediately usable and fun. This is the definitive resource for the enthusiastic bassist! p.p1 {margin: 0.0px 0.0px 0.0px 0.0px; font: 13.0px Helvetica} p.p2 {margin: 0.0px 0.0px 0.0px 0.0px; font: 13.0px Helvetica; min-height: 16.0px} This book and the 89 free videos stand on their own and form a thorough source for studying music theory for the bass player. If you'd like to take it a step further, the author also offers a corresponding 20 week course; this online course works with the materials in this book and practices music theory application in grooves, fills and solos. Information is on the author's blog.
Mastering Intervals
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Author : Barry Wehrli
language : en
Publisher:
Release Date : 2005
Mastering Intervals written by Barry Wehrli and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.
Applications Of Interval Computations
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Author : R. Baker Kearfott
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01
Applications Of Interval Computations written by R. Baker Kearfott and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.
Primary Audience for the Book • Specialists in numerical computations who are interested in algorithms with automatic result verification. • Engineers, scientists, and practitioners who desire results with automatic verification and who would therefore benefit from the experience of suc cessful applications. • Students in applied mathematics and computer science who want to learn these methods. Goal Of the Book This book contains surveys of applications of interval computations, i. e. , appli cations of numerical methods with automatic result verification, that were pre sented at an international workshop on the subject in EI Paso, Texas, February 23-25, 1995. The purpose of this book is to disseminate detailed and surveyed information about existing and potential applications of this new growing field. Brief Description of the Papers At the most fundamental level, interval arithmetic operations work with sets: The result of a single arithmetic operation is the set of all possible results as the operands range over the domain. For example, [0. 9,1. 1] + [2. 9,3. 1] = [3. 8,4. 2], where [3. 8,4. 2] = {x + ylx E [0. 9,1. 1] and y E [3. 8,4. 2]}. The power of interval arithmetic comes from the fact that (i) the elementary operations and standard functions can be computed for intervals with formulas and subroutines; and (ii) directed roundings can be used, so that the images of these operations (e. g.
Statistical Intervals
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Author : Gerald J. Hahn
language : en
Publisher: John Wiley & Sons
Release Date : 2011-09-28
Statistical Intervals written by Gerald J. Hahn and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-28 with Mathematics categories.
Presents a detailed exposition of statistical intervals and emphasizes applications in industry. The discussion differentiates at an elementary level among different kinds of statistical intervals and gives instruction with numerous examples and simple math on how to construct such intervals from sample data. This includes confidence intervals to contain a population percentile, confidence intervals on probability of meeting specified threshold value, and prediction intervals to include observation in a future sample. Also has an appendix containing computer subroutines for nonparametric statistical intervals.
Generalized Musical Intervals And Transformations
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Author : David Lewin
language : en
Publisher: Oxford University Press, USA
Release Date : 2011
Generalized Musical Intervals And Transformations written by David Lewin and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Music categories.
Generalized Musical Intervals and Transformations is by far the most significant contribution to the field of systematic music theory in the last half-century, generating the framework for the "transformational theory" movement.
Science And Application Of High Intensity Interval Training
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Author : Paul Laursen
language : en
Publisher: Human Kinetics
Release Date : 2019-01-02
Science And Application Of High Intensity Interval Training written by Paul Laursen and has been published by Human Kinetics this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-02 with Sports & Recreation categories.
The popularity of high-intensity interval training (HIIT), which consists primarily of repeated bursts of high-intensity exercise, continues to soar because its effectiveness and efficiency have been proven in use by both elite athletes and general fitness enthusiasts. Surprisingly, few resources have attempted to explain both the science behind the HIIT movement and its sport-specific application to athlete training. That’s why Science and Application of High-Intensity Interval Training is a must-have resource for sport coaches, strength and conditioning professionals, personal trainers, and exercise physiologists, as well as for researchers and sport scientists who study high-intensity interval training. Authors Paul Laursen and Martin Buchheit—both well-known, expert-level HIIT researchers as well as practitioners and endurance athletes—do a masterful job of blending science-based concepts of HIIT with practical application strategies. Laursen, Buchheit, and a team of highly qualified contributors—who bring hundreds of years of combined HIIT science and application experience from across all sports—have written Science and Application of High-Intensity Interval Training to provide practitioners and athletes an understanding of the foundational principles of HIIT programming. Chapters in the first section describe five types of training, how to manipulate HIIT variables to maximize improvements in physical performance, and how to incorporate HIIT into a general training program. Readers will also learn the influence HIIT can have on fatigue, stress, and an athlete’s overall health. The final 20 chapters each focus on a different sport and are written by leading coaches or practitioners who have successfully applied HIIT principles at an elite level in their respective sport. These chapters describe specific ways to incorporate HIIT into a training regimen for everything from combat sports to endurance events to the most popular U.S. and international individual and team sports. Each chapter also contains sport-specific preparation and competition phases, an overall one-year training program, and a brief story of how the coach or practitioner who authored the chapter used HIIT to successfully prepare an athlete for a competition. Knowing the proper ways to incorporate high-intensity interval training into a fitness or conditioning program is of vital importance: Not following proper protocols can lead to excessive and prolonged fatigue, illness, or injury. Science and Application of High-Intensity Interval Training is an essential guide for those who want to incorporate HIIT into their own training or their athletes’ programming. Earn continuing education credits/units! A continuing education course and exam that uses this book is also available. It may be purchased separately or as part of a package that includes all the course materials and exam.
Guitar Intervals Unleashed
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Author : Nan Mogar
language : en
Publisher: Independently Published
Release Date : 2019-06-29
Guitar Intervals Unleashed written by Nan Mogar and has been published by Independently Published this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-29 with categories.
Is your knowledge of intervals, chords and scales based only on memorized shapes and patterns? Would you like to have the ability to visualize any interval from any note on the guitar without memorization? Finally! A book that demystifies the logic of the fretboard to help you understand how intervals and notes are arranged on the guitar A novel visual interval training method for the guitar to name, locate, plot, decode, alter, and invert intervals Ideal for students of all skill levels from beginners who want to learn how to locate intervals on different string sets, to advanced players with years of training who struggle with visualizing intervals Learn the only available method that teaches you where and why an interval is located so you do not have to memorize their locations A first of its kind interval training method with an accompanying soon to be released mobile app to help practice the concepts explored in this book The complex interval matrix on the guitar finally demystified and decoded Practical theory on intervals that can be directly applied to the guitar Use simple algorithms to derive an interval's exact fret location Interval and Inversion patterns revealed for the first time! No music notation knowledge necessary No interval shapes or fret locations to memorize Acquire a solid foundation in intervals without even picking up the guitar Practice on paper and apply your knowledge to your playing Visualize intervals Mnemonic devices and dozens of fret diagrams to help you get a clear picture of how intervals are arranged on the guitar Natural note intervals and interval inversions illustrated using keyboard diagrams Tables in place of lengthy written text to help you internalize key concepts more effectively Explore the primary interval pattern, the Fourth and its many uses Identify notes and intervals across two consecutive frets using fourths Recall the seven notes in a scale without using the half-step/whole-step scale formula Instantly recall the sharp or flat notes in a key without referring to the Circle of Fifths diagram Uncover a new pattern within the Fourth which will be useful while skipping strings to locate notes and intervals Discover the secondary interval pattern on the guitar Effectively use the Fifth pattern to identify notes and intervals between the low E and the high E strings Exposed! a new interval pattern within the Fifth to help you navigate in either direction across strings Octaves: Shortcuts to locate octaves on higher and lower fret locations on different string sets Utilize intervallic relationships between open string notes to: Identify notes and intervals on the same fret on adjacent and non-adjacent strings Instantly recall fret distances in either direction to find an identical note on a non-adjacent string without referencing the note's memorized fret location Locate symmetrical interval inversions on the guitar on different string sets CAGED system Connect CAGED roots and shapes Locate and identify all intervals within the 5 CAGED shapes without referencing the intervals within scale patterns and chord shapes Identify and explore interval inversion boxes within CAGED shapes All concepts covered in this book will provide you with the necessary tools and strategies to master intervals.