| 31. | The closed form follows from the master theorem.
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| 32. | Most stable distributions do not have a known closed form expression for their probability density functions.
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| 33. | Nevertheless, closed form expressions for the transformation matrices will be given below using group theoretical arguments.
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| 34. | The determinant can be expressed in closed form, as a special case of the Cauchy determinant.
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| 35. | :I doubt there is a closed form expression.
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| 36. | Essentially, by using a Taylor expansion one derives a closed form relation between these two representations.
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| 37. | Of particular interest are solutions in closed form.
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| 38. | Prior to World War I, the cooperation of the general staffs of both countries assumed closer forms.
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| 39. | For higher order solitons ( N > 1 ) we can use the following closed form expression:
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| 40. | Many expressions which are relatively simple do not have integrals that can be expressed in closed form.
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