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Mathematics II. (TTMBE0809_EN/TTMBE0811/TTMBE0803_EN/TTMBE0823_EN) 24/25-2.

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The function has a limit at if and only if all its coordinate functions have a limit at .

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In the norm is defined as :

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If in a system the vectors are orthogonal to each other, then it is an orthonormal system.

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For the distance function one has .

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If is a linear map, then .

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Let be an event and denotes the relative frequency of during independent experiment. Then

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The cumulative density function of the exponential distribution is

  • , if
  • , if

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The hypergeometric distribution with parameters and is the discrete probability distribution with possible values and probabilities

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The standard deviation of the random variable is

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Let be a continuous random variable with probability density function . Then the expected value of is

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