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Dask and PostgreSQL can be used together to parallelize and distribute data across multiple partitions in the following ways:

1. Dask can be used to read data from PostgreSQL and parallelize the processing of the data. Dask uses a distributed computing framework that allows multiple tasks to be executed simultaneously on multiple machines or cores, which can help speed up the processing of large datasets.

2. PostgreSQL can be used to partition data across multiple tables, which can be useful for distributed processing. Partitioning involves splitting a large table into smaller tables based on certain criteria, such as date range or location. These smaller tables can then be processed in parallel using Dask.

3. Dask can be used to write data back to PostgreSQL after processing. Dask's distributed processing capabilities can help speed up the data writing process by allowing multiple workers to write data simultaneously.

4. Dask can also be used to perform complex analytics on data stored in PostgreSQL. By leveraging the distributed computing capabilities of Dask, complex analytics tasks can be executed efficiently across multiple partitions, resulting in faster processing times.

Overall, the combination of Dask and PostgreSQL can help organizations process and analyze large datasets more efficiently by parallelizing and distributing data across multiple partitions.