Tapering (other)
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Tapering (other)
Tapering may mean: * Tapering (sports) * Tapering (signal processing) *Tapering (mathematics) In mathematics, physics, and theoretical computer graphics, tapering is a kind of shape deformation. Just as an affine transformation, such as scaling or shearing, is a first-order model of shape deformation, tapering is a higher order deformati ... * Tapering (economics) * Opioid tapering, reduction in opioid dose over time {{dab ...
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Tapering (sports)
In sports, tapering refers to the practice of reducing exercise in the days just before an important competition. Tapering is customary both in endurance sports, such as long-distance running and swimming, and strength sports, such as weightlifting and sprinting. For many athletes, a significant period of tapering is essential for optimal performance. The tapering period frequently lasts as much as a week or more. This tapering means gradually reducing the exercise over a short period of time then stopping completely when leading up to competitions. Tapering periods As a general rule of thumb, longer endurance events are generally preceded by longer tapering periods, with the curious exception of particularly long endurance competitions, such as ultramarathons and multiday races. In swimming the opposite is true; distance swimmers will often taper for only a week or less, while strength athletes taper for up to 3 weeks. Typically, tapering for relatively short endurance events t ...
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Tapering (signal Processing)
In signal processing and statistics, a window function (also known as an apodization function or tapering function) is a mathematical function that is zero-valued outside of some chosen interval, normally symmetric around the middle of the interval, usually near a maximum in the middle, and usually tapering away from the middle. Mathematically, when another function or waveform/data-sequence is "multiplied" by a window function, the product is also zero-valued outside the interval: all that is left is the part where they overlap, the "view through the window". Equivalently, and in actual practice, the segment of data within the window is first isolated, and then only that data is multiplied by the window function values. Thus, tapering, not segmentation, is the main purpose of window functions. The reasons for examining segments of a longer function include detection of transient events and time-averaging of frequency spectra. The duration of the segments is determined in e ...
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Tapering (mathematics)
In mathematics, physics, and theoretical computer graphics, tapering is a kind of shape deformation. Just as an affine transformation, such as scaling or shearing, is a first-order model of shape deformation, tapering is a higher order deformation just as twisting and bending. Tapering can be thought of as non-constant scaling by a given tapering function. The resultant deformations can be linear or nonlinear. To create a nonlinear taper, instead of scaling in ''x'' and ''y'' for all ''z'' with constants as in: : q= \begin a & 0 & 0 \\ 0 & b & 0 \\ 0 & 0 & 1 \end p, let ''a'' and ''b'' be functions of ''z'' so that: : q= \begin a(p_z) & 0 & 0 \\ 0 & b(p_z) & 0 \\ 0 & 0 & 1 \end p. An example of a linear taper is a(z) = \alpha_0 + \alpha_1z, and a quadratic taper a(z) = _0 + _1z + _2z^2. As another example, if the parametric equation of a cube were given by ''ƒ''(''t'') = (''x''(''t''), ''y''(''t''), ''z''(''t'')), a nonlinear taper could be applied so that ...
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Tapering (economics)
Quantitative easing (QE) is a monetary policy action whereby a central bank purchases predetermined amounts of government bonds or other financial assets in order to stimulate economic activity. Quantitative easing is a novel form of monetary policy that came into wide application after the financial crisis of 2007-2008. It is intended to stabilize an economic contraction when inflation is very low or negative and when standard monetary policy instruments have become ineffective. Quantitative tightening (QT) does the opposite, where for monetary policy reasons, a central bank sells off some portion of its own held or previously purchased government bonds or other financial assets, to a mix of commercial banks and other financial institutions, usually after periods of their own, earlier, quantitative easing purchases. Similar to conventional open-market operations used to implement monetary policy, a central bank implements quantitative easing by buying financial assets from com ...
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