← All parts of this equation

Equation 43 · Part 1 · The Bend an Elevator Cannot Fake

Symbol B

BB
BB

What this part means

B is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Its job in the formula

B is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

The passage around this formula

What r is actually sensitive to follows from the same argument in reverse. The null space of B has dimension equal to the number of connected components of the network graph; for a connected network it is exactly one-dimensional, spanned by the all-ones vector, because Bϕ\phi = 0 forces ϕi\phi_i = ϕj\phi_j across every edge and connectivity propagates that equality to every node. By…

Read this part in the article →

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.

Open the illustrated variables: a letter stands for a value guide →

See this notation across published equations →

The article lists its research sources here.