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src/posts/flox-smart/index.md

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@@ -138,12 +138,12 @@ Suggestions and improvements are very welcome!
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Here is containment `C[i, j]` for a range of chunk sizes from 1 to 12 for computing `groupby("time.month")` of a monthly mean dataset.
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The images only show 12 time steps.
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These are colored so that light yellow is C=0, and dark purple is C=1.
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These are colored so that light yellow is `C=0`, and dark purple is `C=1`.
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`C[i,j] = 1` when the chunks occupied by group `i` perfectly overlaps with those occupied by group `j` (so the diagonal elements
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are always 1).
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The title on each image is `(chunk size, sparsity)`.
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When the chunksize _is_ a divisor of the period 12, $C$ is a [block diagonal](https://en.wikipedia.org/wiki/Block_matrix) matrix.
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When the chunksize _is not_ a divisor of the period 12, $C$ is much less sparse in comparison.
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When the chunksize _is_ a divisor of the period 12, `C` is a [block diagonal](https://en.wikipedia.org/wiki/Block_matrix) matrix.
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When the chunksize _is not_ a divisor of the period 12, `C` is much less sparse in comparison.
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![flox sparsity image](https://flox.readthedocs.io/en/latest/_images/containment.png)
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Given the above `C`, flox will choose `"cohorts"` for chunk sizes (1, 2, 3, 4, 6, 12), and `"map-reduce"` for the rest.

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