Equation 9 · Part 2 · How AI for Science and Medicine Actually Works
Symbol phi
What this part means
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.
Its job in the formula
phi is an input to the expression that computes the quantity on the left.
Full expression→Symbol phi→Article meaning
Where the article explains it
where is node v ’s representation after k rounds of message passing, is the edge connecting it to neighbour u , and and 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.
The passage around this formula
…for a node v with neighbours looks like . where is node v ’s representation after k rounds of message passing, is the edge connecting it to neighbour u , and and 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…
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 →
Sources cited in the surrounding passage
These citations provide research context; check each source for the exact claim it supports.