Equation 41 · Part 1 · The Bend an Elevator Cannot Fake
Symbol C
What this part means
the independent of.
Its job in the formula
C is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Full expression→Symbol C→Article meaning
Where the article explains it
This holds independent of how strongly 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 a sum of consecutive differences of a single-valued function around a closed path telescopes to zero by arithmetic alone.
The passage around this formula
…to exactly zero, which is the smallest value the nonnegative objective can take, so the fitted values equal y exactly and r 0 . This holds independent of how strongly 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 a sum of consecutive differences of a single-valued function around a closed path telescopes to…
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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