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Published equation contexts

τframe≈258\tau_{\text{frame}} \approx 258

Why this formula appears here

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 request is billed, and therefore presumably processed, as one combined audio-visual stream, not as a picture track with a separately bolted-on transcript.

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τframe\tau_{\text{frame}}

Symbol tau_frame

taufu_frame is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

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Published contexts (1)

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τframe≈258\tau_{\text{frame}} \approx 258

Equation 3 · Model Evaluation

Where Multimodal Frontier Models Actually Differ, Beyond the Marketing

This equation gives an approximation: it relates the quantities while allowing an approximation.

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 request is billed, and therefore presumably processed, as one combined audio-visual stream, not as a picture track with a separately bolted-on transcript.

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