partition
(noun)
a part of something that had been divided, each of its results
Examples of partition in the following topics:
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The Partitioning of Palestine
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Partition and Religious Tensions
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Optimization by tabu search
- In using this method, it is important to explore a range of possible numbers of partitions (unless one has a prior theory about this), to determine how many partitions are useful.
- The method begins by randomly allocating nodes to partitions.
- We ran the routine a number of times, requesting partitions into different numbers of classes.
- There are two trivial answers: those that group all the cases together into one partition and those that separate each case into its own partition.
- Look first at the results for three partitions (figure 14.4).
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Density
- Network>Cohesion>Density is a useful tool for calculating the density of whole populations, or of partitions.
- This is done by creating a separate attribute data file (or a column in such a file), with the same row labels, and scores for each case on the "partitioning" variable.
- Partitioning is not necessary to calculate density.
- After providing a map of the partitioning, a blocked (partitioned) matrix is provided showing the values of the connections between each pair of actors.
- The standard deviations measure the lack of homogeneity within the partition, or the extent to which the actors vary.
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Selecting sub-sets of the data
- Data>Subgraphs from partitions is a (somewhat more complicated ) tool that let's you divide the cases into groups (partitions), and output separate data files for each group.
- The first step (after you've decided which cases fall in which partition), is to create an external data file that lists partition membership.
- This says, put the first node in partition one, put the second node in partition two, put the third node in partition one, etc.
- This filename is supplied to the >Subgraphs from partitions dialog.
- Many network analysis algorithms generate information on partition membership (and save partition membership information as files you can plug in to this utility).
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Two-mode core-periphery analysis
- The "core" consists of a partition of actors that are closely connected to each of the events in an event partition; and simultaneously a partition of events that are closely connected to the actors in the core partition.
- The "periphery" consists of a partition of actors who are not co-incident to the same events; and a partition of events that are disjoint because they have no actors in common.
- Network>2-Mode>Categorical Core/Periphery uses numerical methods to search for the partition of actors and of events that comes as close as possible to the idealized image.
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Matrix permutation, blocks, and images
- Passing these dividing lines through the matrix is called partitioning the matrix.
- Here we have partitioned by the actor by their sex.
- Partitioning is also sometimes called "blocking the matrix," because partitioning produces blocks.
- To use this command, you need to first create separate files that describe the row partition and the column partition.
- These partitions or blockings are simply regular UCINET data files with one row or one column.
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Introduction to finding equivalence sets
- We are done with our partitioning.
- The result of {A} {B, C, D} {E, F, G, H, I} satisfies the condition that each actor in each partition have the same pattern of connections to actors in other partitions.
- If each actor in a partition has a tie to any actor in another, then we will define the joint block as a 1-block.
- The rule of defining a 1 block when each actor in one partition has a relationship with any actor in the other partition is a way of operationalizing the notion that the actors in the first set are equivalent if they are connected to equivalent actors (i.e. actors in the other partition), without requiring (or prohibiting) that they be tied to the same other actors, or the same number of actors in another partition.
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Population Transfer
- The migration of large numbers of Hindus and Muslims between India and Pakistan after Partition occurred in 1947 is a significant historical example of a population exchange.
- These exchanges have taken place several times in the 20th century, such as during the 1947 partition of India and Pakistan .
- Figure showing the movement of refugees following the decision by colonial Britain to partition India based on religious demographics.
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Partitioning the Sums of Squares
- Partition sum of squares Y into sum of squares predicted and sum of squares error
- We are now in a position to see how the SSY is partitioned.
- SSY can be partitioned into two parts: the sum of squares predicted (SSY') and the sum of squares error (SSE).
- It is often convenient to summarize the partitioning of the data in a table such as Table 4.