Partitioning of an Element - Revision history

Laouris at 11:38, 10 January 2022

2022-01-10T11:38:50Z

← Older revision		Revision as of 11:38, 10 January 2022
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	Experience suggests that only a few cycles will normally be needed to develop a [[Reachability Matrix]], and the number of parts will seldom be as high as the stated maxima.		Experience suggests that only a few cycles will normally be needed to develop a [[Reachability Matrix]], and the number of parts will seldom be as high as the stated maxima.



			:<math>\begin{pmatrix}
			1 & 1 & 1 & 1 \\
			0 & 1 & 0 & 1 \\
			0 & 0 & 1 & 0 \\
			0 & 0 & 0 & 1
			\end{pmatrix}</math> which includes a diagonal of ones since each number divides itself.


	[[Category: ISM Terminology]]		[[Category: ISM Terminology]]

Laouris at 11:34, 10 January 2022

2022-01-10T11:34:24Z

← Older revision		Revision as of 11:34, 10 January 2022
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	'''Partitioning on an Element'' is used in a cyclical way to order the indexing of the matrix under development.		'''Partitioning on an Element''' is used in a cyclical way to order the indexing of the matrix under development.

	In the process of [[Partitioning\|partitioning]], data are supplied that partially fill the matrix. Each cycle may involve several parts, and each part involves the ''same four steps'':		In the process of [[Partitioning\|partitioning]], data are supplied that partially fill the matrix. Each cycle may involve several parts, and each part involves the ''same four steps'':

	* First cycle has only one part, and four steps		* First cycle has only one part, and four steps.
	* Second cycle may have as many as three parts, depending on the results of the first		* Second cycle may have as many as three parts, depending on the results of the first cycle.
	cycle.		* Third cycle may have as many as nine parts.
	* Third cycle may have as many as nine parts
	* The nth cycle may have as many as 3<sup>n-1</sup> parts.		* The nth cycle may have as many as 3<sup>n-1</sup> parts.

Laouris at 11:33, 10 January 2022

2022-01-10T11:33:48Z

← Older revision		Revision as of 11:33, 10 January 2022
Line 1:		Line 1:
			'''Partitioning on an Element'' is used in a cyclical way to order the indexing of the matrix under development.

	~~Partitioning on an element is used in a cyclical way to~~		In the process of [[Partitioning\|partitioning]], data are supplied that partially fill the matrix. Each cycle may involve several parts, and each part involves the ''same four steps'':
	~~order the indexing of the matrix under development.~~ In
	the process of partitioning, data are supplied that partially		* First cycle has only one part, and four steps
	fill the matrix. Each cycle may involve several parts, and		* Second cycle may have as many as three parts, depending on the results of the first
	each part involves the same four steps~~. The firstc ycleh as~~		cycle.
	only one part, and ~~the~~ four steps ~~will be described shortly~~		* Third cycle may have as many as nine parts
	~~in describing the first~~ cycle~~. The second i;yde~~ may have as		* The nth cycle may have as many as 3<sup>n-1</sup> parts.
	many as three parts, depending on the results of the first
	cycle. ~~The thirdc yclem ay~~ have as many as nine parts~~, and~~		Experience suggests that only a few cycles will normally be needed to develop a [[Reachability Matrix]], and the number of parts will seldom be as high as the stated maxima.
	~~in general the~~ nth cycle may have as many as 3•- 1 parts.
	Experience suggests that only a few cycles will normally be
	needed to develop a ~~reachability matrix~~, and the number of
	parts will seldom be as high as the stated maxima.



	[[Category: ISM Terminology]]		[[Category: ISM Terminology]]

Laouris: Created page with " Partitioning on an element is used in a cyclical way to order the indexing of the matrix under development. In the process of partitioning, data are supplied that partially f..."

2022-01-10T11:26:21Z

Created page with " Partitioning on an element is used in a cyclical way to order the indexing of the matrix under development. In the process of partitioning, data are supplied that partially f..."

New page

Partitioning on an element is used in a cyclical way to
order the indexing of the matrix under development. In
the process of partitioning, data are supplied that partially
fill the matrix. Each cycle may involve several parts, and
each part involves the same four steps. The firstc ycleh as
only one part, and the four steps will be described shortly
in describing the first cycle. The second i;yde may have as
many as three parts, depending on the results of the first
cycle. The thirdc yclem ay have as many as nine parts, and
in general the nth cycle may have as many as 3•- 1 parts.
Experience suggests that only a few cycles will normally be
needed to develop a reachability matrix, and the number of
parts will seldom be as high as the stated maxima.

[[Category: ISM Terminology]]