K-Progressive Process: Difference between revisions
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== Definition == | == Definition == | ||
It is easy to see that only if at each stage the memory space made available by the waste production is sufficient for taking in the increment set of a file for the next stage, can the file be linear in that process. In order to state this with more precision we define a concept which we shall call [the] ''K-progressive process''. A process shall be said to be K-progressive if for all process-stages R and all files F | It is easy to see that only if at each stage the memory space made available by the waste production is sufficient for taking in the increment set of a file for the next stage, can the file be linear in that process. In order to state this with more precision we define a concept which we shall call [the] ''K-progressive process''. A process shall be said to be K-progressive if for all process-stages R and all files F: | ||
<math>S = \sum_{r=1}^{R} (Sw_{r} -)</math> | |||
(K a constant) | |||
or <math>S = \sum_{r=1}^{R} (Sw_{r} -)</math> | |||
If the process is K-progressive it follows from 1 that after stage R-1, for instance, free memory space >= K is available for the next stage, that is for stage R. For all F files involved the space required is | If the process is K-progressive it follows from 1 that after stage R-1, for instance, free memory space >= K is available for the next stage, that is for stage R. For all F files involved the space required is | ||
