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Equation 45 · Part 2 · A Reference Frame Becomes Classical by Publishing Its Orientation

Symbol O

SO(3)SO(3)
OO

What this part means

O is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Its job in the formula

O is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

The passage around this formula

There is a trap. Even an orientation-blind fragment can sometimes satisfy a loose threshold by guessing from the prior. For uniform SO(3) , the probability that a blind estimate lies within geodesic angle ϵ\epsilon of the true rotation is

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Learn the underlying idea

A function assigns an output to each allowed input. The expression f(x) means “apply f to x”.

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