Magnitude Analysis Histograms

Products

The following graphs are histograms.
They are built by generating 1000000 random pairs of polysigned values p1 and p2.
The ratio:

    | p1 p2 | / ( | p1 | | p2 | ) 

is the x-axis of these graphs. The factor always peaks at unity.
Signs lower than four are not graphed because they are always unity.

four-signed product histogram


four-signed product histogram

four-signed product histogram

four-signed product histogram

four-signed product histogram


Squares

The following graphs are histograms.
They are built by generating 10000 random polysigned values p1.
The ratio:

    | p1 p1 | / ( | p1 | | p1 | ) 

is the x-axis of these graphs.
Signs lower than four are not graphed because they are always unity.
Many of the rough edges in these will probably go away with more samples.












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