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Equation 24 · Part 3 · The Bend an Elevator Cannot Fake

Symbol phi

y=Bϕ+ny = B\phi + n
ϕ\phi

What this part means

phi is one of the signed contributions combined to compute the quantity on the left.

Its job in the formula

phi is one of the signed contributions combined to compute the quantity on the left.

The passage around this formula

At weak field this reduces to the familiar yijy_{ij} ≈\approx (Φi\Phi_i - Φj\Phi_j)/c2c^2 for Newtonian potential Φ\Phi , exactly the quantity real fibre-linked clock comparisons already report [ 1 , 7 ] . Collect every measured edge into a vector y , one entry per link, and encode the network’s topology in an incidence matrix B : row e = (i,j) has a +1 in column i , a -1 in column j , and zero elsewhere. The model is y = Bϕ\phi + n for measurement noise n with covariance C , and the standard weighted least-squares estimate of the node potentials is

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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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