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

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The function does not have a limit at if and only if all its coordinate functions do not have a limit at .

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In the norm is defined as :

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In an orthonormal system, the vectors are all pairwise orthogonal and have unit norms.

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The triangle inequality is .

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If is a linear transformation, then it has at least one eigenvector.

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If for a random variable the expected value and the standard deviation exist, then for any positive number one has

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The cumulative density function of the continuous uniform distribution is

  • , is ,
  • , if ,
  • , is .

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The characteristic distribution is the discrete probability distribution with possible values and probabilities

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If is a random variable with values , … and the correspondent probabilities are , …, , then its expected value is

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The standard deviation of the random variable is

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