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total variation of a function

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  • Total variation — As the green ball travels on the graph of the given function, the length of the path travelled by that ball s projection on the y axis, shown as a red ball, is the total variation of the function. In mathematics, the total variation identifies… …   Wikipedia

  • Total variation diminishing — In systems described by partial differential equations, such as the following hyperbolic advection equation,:frac{part u}{part t} + afrac{part u}{part x} = 0, the total variation (TV) is given by,:TV = int left| frac{part u}{part x} ight| dx ,and …   Wikipedia

  • Function point — A function point is a unit of measurement to express the amount of business functionality an information system provides to a user. Function points are the units of measure used by the IFPUG Functional Size Measurement Method. The IFPUG FSM… …   Wikipedia

  • Function (mathematics) — f(x) redirects here. For the band, see f(x) (band). Graph of example function, In mathematics, a function associates one quantity, the a …   Wikipedia

  • Bounded variation — In mathematical analysis, a function of bounded variation refers to a real valued function whose total variation is bounded (finite): the graph of a function having this property is well behaved in a precise sense. For a continuous function of a… …   Wikipedia

  • Explained variation — In statistics, explained variation or explained randomness measures the proportion to which a mathematical model accounts for the variation (= apparent randomness) of a given data set. Often, variation is quantified as variance; then, the more… …   Wikipedia

  • Renal function — Diagram showing the basic physiologic mechanisms of the kidney Renal function, in nephrology, is an indication of the state of the kidney and its role in renal physiology. Glomerular filtration rate (GFR) describes the flow rate of filtered fluid …   Wikipedia

  • Minimum total potential energy principle — The principle of minimum total potential energy is a fundamental concept used in physics, chemistry, biology, and engineering. It asserts that a structure or body shall deform or displace to a position that minimizes the total potential energy,… …   Wikipedia

  • Law of total variance — In probability theory, the law of total variance or variance decomposition formula states that if X and Y are random variables on the same probability space, and the variance of X is finite, then:operatorname{var}(X)=operatorname{E}(operatorname{v… …   Wikipedia

  • Derivative — This article is an overview of the term as used in calculus. For a less technical overview of the subject, see Differential calculus. For other uses, see Derivative (disambiguation) …   Wikipedia

  • List of statistics topics — Please add any Wikipedia articles related to statistics that are not already on this list.The Related changes link in the margin of this page (below search) leads to a list of the most recent changes to the articles listed below. To see the most… …   Wikipedia

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