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Interval training is a type of training exercise that involves a series of high-intensity workouts interspersed with rest or break periods. The high-intensity periods are typically at or close to anaerobic exercise, while the recovery periods involve activity of lower intensity. [1]
High-intensity interval training (HIIT) is a training protocol alternating short periods of intense or explosive anaerobic exercise with brief recovery periods until the point of exhaustion. [1] HIIT involves exercises performed in repeated quick bursts at maximum or near maximal effort with periods of rest or low activity between bouts.
A comprehensive paper on interval algebra in numerical analysis was published by Teruo Sunaga (1958). [11] The birth of modern interval arithmetic was marked by the appearance of the book Interval Analysis by Ramon E. Moore in 1966. [12] [13] He had the idea in spring 1958, and a year later he published an article about computer interval ...
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Fartlek and interval training are similar, the main difference being the structure of the exercise. Fartlek is a Swedish word, meaning speed play. [2] This type of training is a combination of continuous (generally aerobic) and interval training (generally anaerobic), involving consistent changes of pace/intensity throughout the session. [2]
The principle is to evaluate f(x) using interval arithmetic (this is the forward step). The resulting interval is intersected with [y]. A backward evaluation of f(x) is then performed in order to contract the intervals for the x i (this is the backward step). We now illustrate the principle on a simple example.
Verification of nonlinear equations (The Kantorovich theorem, [34] Krawczyk method, interval Newton method, and the Durand–Kerner–Aberth method are studied.) Verification for solutions of ODEs, PDEs [35] (For PDEs, knowledge of functional analysis are used. [34]) Verification of linear programming [36] Verification of computational geometry
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