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In addition, we show that the cluster projections define almost isometric minimal immersions of (M, g) into spheres and that in the case of maximally degenerate Zoll metrics the errors are of rapid decay.
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Other approaches for comparative visualization of subspaces are based on induced similarity hierarchies [19] or on 2D cluster projection [20].
Cluster projection using principal component analysis (PCA) across the training sessions (right).
Open image in new window Fig. 2 Clustered future projections.
Second, we clustered our projections into strategic groups based on the probability of occurrence and impact.
The clusters of projections represent the ideotype starting points shown in Fig. 4. Trajectories for the intolerant hardwood ideotypes (not shown) were very similar to those for the intolerant hardwood - mixedwood type, while the tolerant softwood ideotypes (not shown) were more similar to those for the BS type.
These clusters send projections that innervate parts of the male reproductive apparatus concerned with seminal fluid and sperm transfer.
Injections of neural tracers into many mammalian neocortical areas reveal a common patchy motif of clustered axonal projections.
However, in Model III, only neurons falling within globally defined patch locations made clustered axonal projections to other patches.
In this model, neurons everywhere across a cortical area make clustered axonal projections to a static, predefined set of patch locations.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com