← All parts of this equation

Equation 10 · Part 1 · How AI for Science and Medicine Actually Works

Symbol h_v^(k)

hv(k)h_v^{(k)}
hv(k)h_v^{(k)}

What this part means

h_v^(k) 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

h_v^(k) 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

where hv(k)h_v^{(k)} is node v ’s representation after k rounds of message passing, euve_{uv} is the edge connecting it to neighbour u , and ψ\psi and ϕ\phi are learned functions — the same general operation GNoME’s crystal-graph network applies to atoms and bonds, applied here to points on a sphere and the physical processes connecting them. GraphCast predicts five surface variables and six atmospheric variables across thirty-seven pressure levels, ten days ahead, at six-hour steps [ 5 ] .

Read this part in the article →

Learn the underlying idea

A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

Open the illustrated subscripts: which member of a family? guide →

See this notation across published equations →

Sources cited in the surrounding passage

These citations provide research context; check each source for the exact claim it supports.