[Arnt]

The number of dimensions used is 768, wrote someone, and that isn't really very different from 365. But even if the number were big were were big, it could hardly escape fate: x has to be very big to keep (1-(1/x))¹⁰⁰⁰⁰⁰⁰⁰⁰⁰ near 1.

[program_whiz]

Just to clarify, the total dimension of birthdays is 365 (Jan 1 through Dec 31), but a 768 dimension continuous vector means there are 768 numbers, each of which can have values from -1 to 1 (at whatever precision floating point can represent). 1 float has about 2B numbers between -1 and 1 iirc, so 2B ^ 768 is a lot more than 365.

[Arnt]

I may have misunderstood — don't they test for orthogonality? Orthogonality would seem to drop much of the information in the vectors.