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Interval analysis (Mathematics) --- Analysis, Interval --- Arithmetic, Interval --- Interval arithmetic --- Interval mathematics --- Mathematics, Interval --- Mathematics --- Numerical analysis

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This standard is a simplified version and a subset of the IEEE Std 1788TM-2015 for Interval Arithmetic and includes those operations and features of the latter that in the the editors view are most commonly used in practice. IEEE Std 1788.1-2017 specifies interval arithmetic operations based on intervals whose endpoints are IEEE Std 754TM-2008 binary64 floating-point numbers and a decoration system for exception-free computations and propagation of properties of the computed results.A program built on top of an implementation of IEEE Std 1788.1-2017 should compile and run, and give identical output within round off, using an implementation of IEEE Std 1788-2015, or any superset of the former.Compared to IEEE Std 1788-2015, this standard aims to be minimalistic, yet to cover much of the functionality needed for interval computations. As such, it is more accessible and will be much easier to implement, and thus will speed up production of implementations.

Interval analysis (Mathematics)

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An interval is a natural way of specifying a number that is specified only within certain tolerances. Interval analysis consists of the tools and methods needed to solve linear and nonlinear systems of equations in the presence of data uncertainties. Applications include the sensitivity analysis of solutions of equations depending on parameters, the solution of global nonlinear problems, and the verification of results obtained by finite-precision arithmetic. In this book emphasis is laid on those aspects of the theory which are useful in actual computations. On the other hand, the theory is developed with full mathematical rigour. In order to keep the book self-contained, various results from linear algebra (Perron-Frobenius theory, M- and H- matrices) and analysis (existence of solutions to nonlinear systems) are proved, often from a novel and more general viewpoint. An extensive bibliography is included.

Interval analysis (Mathematics) --- Equations --- Algebra --- Analysis, Interval --- Arithmetic, Interval --- Interval arithmetic --- Interval mathematics --- Mathematics, Interval --- Mathematics --- Numerical analysis --- Numerical solutions. --- Graphic methods

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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.

Interval training. --- Athletes --- Training of.

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The 'Tabata Workout Handbook' by Roger Hall offers a comprehensive guide to Tabata, a high-intensity interval training method that provides efficient workouts in short time frames. Developed by Dr. Izumi Tabata, this exercise program focuses on maximizing effort in brief bursts followed by rest, aiming to improve aerobic and anaerobic capacity, increase muscle mass, and reduce body fat. The book includes descriptions of bodyweight exercises, workouts with minimal equipment, and kettlebell routines, making it versatile for various fitness levels and environments. It also emphasizes the importance of maintaining proper form and tracking progress. Intended for fitness enthusiasts looking to enhance their routines, this handbook serves as a standalone program or a supplement to existing workouts.

High-intensity interval training. --- Exercise.