Equation 7 · Part 2 · What Multimodal AI Actually Costs, Modality by Modality
Symbol t
What this part means
duration in seconds.
Its job in the formula
t is one of the signed contributions combined to compute the quantity on the left.
Full expression→Symbol t→Article meaning
Where the article explains it
where t is duration in seconds, f the sampling rate, and , the per-frame and per-second-of-audio token costs Google publishes.
The passage around this formula
…300 tokens per second of video.” At the model’s low-resolution setting, the same second costs about 100 tokens — 66 for the frame plus 32 for audio [ 6 ] . In the notation above, that is . where t is duration in seconds, f the sampling rate, and , the per-frame and per-second-of-audio token costs Google publishes. A minute of default-resolution video comes to roughly 18,000 tokens — about 2.7 cents at Gemini 3.5 Flash’s input rate, or about 1.35…
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.