Equation 108 · Part 1 · A Reference Frame Becomes Classical by Publishing Its Orientation
Symbol S^2
What this part means
the distinction between a direction on.
Its job in the formula
is squared: multiply the underlying quantity by itself. The square is a mathematical operation, not a second independent variable.
Full expression→Symbol S^2→Article meaning
Where the article explains it
The distinction between a direction on and a full orientation on SO(3) survives as well; it prevents a common conceptual inflation before any simulation runs.
The passage around this formula
The blind-guess correction also survives. Any thresholded continuous-parameter redundancy measure must demonstrate that its competence threshold beats the prior volume. Otherwise it counts lucky ignorance as a record. The distinction between a direction on and a full orientation on SO(3) survives as well; it prevents a common conceptual inflation before any simulation runs.
Learn the underlying idea
An exponent tells how a base is used in multiplication. In x³, x is the base and 3 is the exponent: x³ = x × x × x.
Open the illustrated exponents: repeated multiplication and powers guide →
See this notation across published equations →
The article lists its research sources here.