Equation 146 · Part 2 · The Bend an Elevator Cannot Fake
superscript
superscript
What this part means
A raised number can be a power. When it is a label or bound, it selects a case or the upper limit of a sum; the formula’s structure distinguishes these uses.
Its job in the formula
A raised mark can be a power or an index. Its position and the surrounding notation determine which.
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The passage around this formula
Even a network that has cleared every check above owes one more: any fictitious, non-curvature contribution to a naive second difference has to be ruled out on its own terms, not merely assumed absent. A uniformly rotating platform’s centrifugal potential, -||^2 , has a nonzero Hessian too — for rotation about the z -axis, — but that Hessian is exactly constant across any laboratory-scale network, tied to a rotation axis independently known from astrometry to extraordinary precision, and entirely absent from the trace-free, 2:{-1}:{-1} , 1/ -falling pattern a genuine point-like or spherical mass produces. A real…
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.
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Sources cited in the article section
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