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Equation 1 · Part 8 · Where Multimodal Frontier Models Actually Differ, Beyond the Marketing

subscript

cvideo≈(f×τframe)+τaudioc_{\text{video}} \approx (f \times \tau_{\text{frame}}) + \tau_{\text{audio}}
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.

The passage around this formula

The documented token economics make the architectural claim concrete rather than rhetorical. Gemini’s video pricing bundles the visual and audio streams into one per-second cost: cvideo≈(f×τframe)+τaudioc_{\text{video}} \approx (f \times \tau_{\text{frame}}) + \tau_{\text{audio}}. where, at default resolution, the sampling rate f is one frame per second, each frame costs τframe\tau_{\text{frame}} ≈\approx 258 tokens, and the audio track costs τaudio\tau_{\text{audio}} ≈\approx 32 tokens per second — giving cvideoc_{\text{video}} ≈\approx 290 tokens per second, close to the approximately 300 tokens per second Google documents directly for default-resolution video [ 5 ] . The formula is unremarkable arithmetic, but what it exposes is the real assumption underneath the “native” claim: a single…

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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.

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Sources cited in the surrounding passage

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