|  | 1. | The homogeneity and additivity properties together are called the superposition principle. 
 
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|  | 2. | The term Chardin used for this was " directed additivity ". 
 
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|  | 3. | #Resumed Discussion of Reprised Confusion over Wikipedia Definitions of Sigma Additivity 
 
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|  | 4. | However, many consequences of treatment-unit additivity can be falsified. 
 
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|  | 5. | In particular the adjusted winner procedure only requires weak additivity. 
 
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|  | 6. | This can be shown using the additivity property of measures. 
 
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|  | 7. | One can then extend by countable additivity to the full ?-algebra. 
 
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|  | 8. | Axiom 3 corresponds to the additivity axiom in probabilities. 
 
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|  | 9. | The definition of measure ( mathematics ) requires additivity, not just subadditivity. 
 
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|  | 10. | Due to assumption ( ) and the ?-additivity of the probability measure, 
 
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