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Equation 39 · Part 1 · The Bend an Elevator Cannot Fake

Symbol r

r≡0r \equiv 0
rr

What this part means

r 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

r 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

…the spacetime that produced it — then ϕtrue\phi_{\rm true} itself drives the weighted sum of squares to exactly zero, which is the smallest value the nonnegative objective can take, so the fitted values equal y exactly and r ≡\equiv 0 . This holds independent of how strongly ϕ\phi varies from node to node, independent of C , and independent of the graph’s shape, because it is a fact about linear regression, not about gravity: any closed loop of static clocks, in any static spacetime whatsoever, closes exactly, because…

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Learn the underlying idea

A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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