Equation 31 · Part 2 · The Real Economics of Shipping a Model to a Device
subscript
subscript
What this part means
The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.
Its job in the formula
A subscript distinguishes a version, component, step, or member of a quantity. It does not automatically mean multiplication.
Full expression→subscript→Article meaning
The passage around this formula
Assembling the documented cases together, and characterizing rather than resolving the disagreement between them, is more useful than picking a winner. Qualcomm’s public position, voiced by its CFO and in its own hybrid-AI position paper, emphasizes marginal cost and a rising cloud-serving price as the reasons inference should move toward the device [ 8 , 9 ] — a framing that is true as far as it goes and is also stated by a company whose chip revenue depends on that conclusion being drawn. Microsoft’s framing of the Phi family is different in kind: not “the device is nearly free,” but “different price points require different models,” a quality-cost curve spanning latency-bound,…
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 →
Sources cited in the surrounding passage
- [10] Introducing Phi-3: Redefining what's possible with SLMs ↗
- [13] Apple's Foundation Models framework unlocks new intelligent app experiences ↗
These citations provide research context; check each source for the exact claim it supports.