Equation 17 · Part 1 · How Multimodal Models Actually Handle Video, Audio, and Space
Symbol t
What this part means
t is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Its job in the formula
t is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Full expression→Symbol t→Article meaning
The passage around this formula
where is volume density, is emitted colour, and T(t) is accumulated transmittance along the ray up to t . There is no patch, no voxel grid, no fixed token count anywhere in this formulation — the scene is a function evaluated at query points, and any tokenization of it for a downstream language model has to be imposed afterward, by sampling the field at a chosen resolution, which reintroduces exactly the resolution-versus-cost trade video and audio already face.
Learn the underlying idea
A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.
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Sources cited in the article section
- [8] NeRF: Representing Scenes as Neural Radiance Fields for View Synthesis ↗
- [9] ImageBind: One Embedding Space To Bind Them All ↗
These citations provide research context; check each source for the exact claim it supports.