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Equation 31 · The Real Economics of Shipping a Model to a Device

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CdevC_{\mathrm{dev}}

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the already paid. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.

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CdevC_{\mathrm{dev}}

Symbol C_dev

the already paid.

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subscript

subscript

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.

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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,…
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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, cost-constrained and capability-bound use cases simultaneously, most of which are not exclusively about on-device placement at all [ 10 ] . Apple’s framing is different again — a platform argument about who absorbs fixed cost, expressed to developers as inference being free of charge to them specifically because Apple, not the developer, has already paid CdevC_{\mathrm{dev}} and U once at the OS level [ 13 ] .

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