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absolutely continuous function

См. также в других словарях:

  • Continuous probability distribution — In probability theory, a probability distribution is called continuous if its cumulative distribution function is continuous. That is equivalent to saying that for random variables X with the distribution in question, Pr [ X = a ] = 0 for all… …   Wikipedia

  • Minkowski's question mark function — Minkowski question mark function. ?(x) is on the left and ?(x) x is on the right. In …   Wikipedia

  • Dirac delta function — Schematic representation of the Dirac delta function by a line surmounted by an arrow. The height of the arrow is usually used to specify the value of any multiplicative constant, which will give the area under the function. The other convention… …   Wikipedia

  • Probability density function — Boxplot and probability density function of a normal distribution N(0, σ2). In probability theory, a probability density function (pdf), or density of a continuous random variable is a function that describes the relative likelihood for this… …   Wikipedia

  • Characteristic function (probability theory) — The characteristic function of a uniform U(–1,1) random variable. This function is real valued because it corresponds to a random variable that is symmetric around the origin; however in general case characteristic functions may be complex valued …   Wikipedia

  • Cantor function — In mathematics, the Cantor function, named after Georg Cantor, is an example of a function that is continuous, but not absolutely continuous. DefinitionThe Cantor function c : [0,1] → [0,1] is defined as follows:#Express x in base 3. If possible …   Wikipedia

  • Cumulative distribution function — for the normal distributions in the image below …   Wikipedia

  • Wave function — Not to be confused with the related concept of the Wave equation Some trajectories of a harmonic oscillator (a ball attached to a spring) in classical mechanics (A B) and quantum mechanics (C H). In quantum mechanics (C H), the ball has a wave… …   Wikipedia

  • Singular function — The graph of the winding number of the circle map is an example of a singular function. In mathematics, a singular function is any function ƒ defined on the interval [a, b] that has the following properties: ƒ is continuous on [a, b]. (**) there… …   Wikipedia

  • Likelihood function — In statistics, a likelihood function (often simply the likelihood) is a function of the parameters of a statistical model, defined as follows: the likelihood of a set of parameter values given some observed outcomes is equal to the probability of …   Wikipedia

  • Gamma function — For the gamma function of ordinals, see Veblen function. The gamma function along part of the real axis In mathematics, the gamma function (represented by the capital Greek letter Γ) is an extension of the factorial function, with its… …   Wikipedia

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