Equation 8 · Part 1 · Small and On-Device AI in 2035: Scenarios and Falsifiers
Symbol P
What this part means
P 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
P is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Full expression→Symbol P→Article meaning
The passage around this formula
…winner. Third, none of the four requires a plateau in frontier cloud capability. A cloud-frontier model can keep improving on the hardest tasks while on-device capability keeps closing the gap on everyday ones, because P(t) in the equation above is a share of everyday tasks, not a claim about the ceiling.
Learn the underlying idea
A function assigns an output to each allowed input. The expression f(x) means “apply f to x”.
Open the illustrated functions: inputs become outputs 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.