5 Attachment(s)

please help me to understand how to get the results of Cosines between 1000-dimension

Table 1. Cosines between 1000-dimensional HRR’s of simple propositions (HRR: Holographic Reduced Representations)

****p(x) p(y) p(z) q(x) q(y) q(z) r(x) r(y) r(z)

p(x) 1.00

p(y) 0.32 1.00

p(z) 0.31 0.28 1.00

q(x) 0.71 0.04 0.03 1.00

q(y) 0.01 0.69 -0.01 0.32 1.00

q(z) 0.01 0.00 0.70 0.31 0.31 1.00

r(x) 0.72 0.06 0.04 0.70 0.03 0.02 1.00

r(y) 0.04 0.71 0.01 0.04 0.69 0.01 0.35 1.00

r(z) 0.04 0.02 0.71 0.03 0.01 0.70 0.33 0.32 1.00

Please help me to understand how to get the results. Thank you very much!