| 31. | Compared to the current structure of probability theory, his work only lacked the technical condition of sigma additivity.
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| 32. | Thus, by sub-additivity, the union of k bipartite graphs cannot have entropy greater than k.
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| 33. | The assumption of unit treatment additivity implies that every treatment has exactly the same additive effect on each experimental unit.
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| 34. | If " X " has positive measure, countable additivity would show that the circle has infinite measure.
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| 35. | It is at the thermodynamic limit that the additivity property of macroscopic " extensive " variables is obeyed.
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| 36. | However, additivity is applicable only to cardinal utility functions, while weak additivity is applicable to ordinal utility functions.
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| 37. | However, additivity is applicable only to cardinal utility functions, while weak additivity is applicable to ordinal utility functions.
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| 38. | Some procedures in fair division do not need the value of goods to be additive and only require weak additivity.
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| 39. | This is a purely quantum effect and is a consequence of the non-additivity of the probabilities of quantum alternatives.
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| 40. | This fact follows from additivity of knot genus; another proof relies on an infinite construction sometimes called the Mazur swindle.
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