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

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The line integral of the vector field along the curve is

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The function has a local maximum at if there exists such that for any .

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If the directional derivative of the function in the direction at is negative, then moving from in the direction the function is increasing.

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If the function is differentiable at , then

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In the norm is defined as :

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If a vector system is orthonormal, then it is a basis.

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One has .

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If is an eigenvalue of the linear transformation , then there exists a nonzero vector , such that .

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The probability density function of the exponential distribution is

  • , if
  • , if

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

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