Equation 27 · Part 5 · The Bend an Elevator Cannot Fake

Symbol y

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

y

What this part means

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

Its job in the formula

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

Full expressionSymbol yArticle meaning

The passage around this formula

…reduces to the familiar $y_{ij}$ $\approx$ ( $\Phi_i$ - $\Phi_j$ )/ $c^2$ for Newtonian potential $\Phi$ , 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 = B $\phi$ + n for measurement noise n with covariance C , and the standard weighted least-squares estimate of the node…

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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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