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Equation 27 · Part 4 · The Bend an Elevator Cannot Fake

Symbol B

ϕ^=(B⊤C−1B)+B⊤C−1y,\hat\phi = \left(B^\top C^{-1} B\right)^{+} B^\top C^{-1} y,
BB

What this part means

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

Its job in the formula

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

The passage around this formula

…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 ϕ^=(B⊤C−1B)+B⊤C−1y\hat\phi = \left(B^\top C^{-1} B\right)^{+} B^\top C^{-1} y. using the Moore–Penrose pseudoinverse because B has…

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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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