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Equation 44 · Part 2 · The Bend an Elevator Cannot Fake

Symbol phi

Bϕ=0B\phi = 0
ϕ\phi

What this part means

phi is part of the quantity the equation computes from the expression on the right.

Its job in the formula

phi is part of the quantity the equation computes from the expression on the right.

The passage around this formula

…edge and connectivity propagates that equality to every node. By rank–nullity, a connected tree — with exactly |V|-1 edges for |V| nodes — has an incidence matrix of full row rank, meaning that for any data whatsoever a ϕ\phi exists reproducing it exactly. A tree, in other words, cannot fail to close, on any data, ever; it carries zero redundant edges and therefore zero capacity to audit itself. Only once a network graph contains at least one independent cycle — one edge beyond a spanning tree — does y have…

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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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