| 41. | Therefore, ? ? is a symplectic vector field if and only if ? is a closed form.
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| 42. | For most geometric stable distributions, the probability density function and cumulative distribution function have no closed form.
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| 43. | That is, if ? and ? are closed forms, and one can find some ? such that
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| 44. | These findings provide excellent insight to the shape range ( especially closed forms ) of Mycenaean pottery.
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| 45. | For simple rational numbers, the closed form expression is often in terms of less complicated special functions.
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| 46. | First, that f ( \ Omega ) is a closed form follows from the next two lemmas:
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| 47. | This can always be done in closed form since this is a case of simple linear regression.
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| 48. | The idea of de Rham cohomology is to classify the different types of closed forms on a manifold.
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| 49. | In some cases there is no single equation in closed form that is equivalent to the parametric equations.
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| 50. | The Fisher information matrix for estimating the parameters of a multivariate normal distribution has a closed form expression.
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