Equation 16 · Part 1 · How Multimodal Models Actually Handle Video, Audio, and Space
Symbol T
What this part means
accumulated transmittance along the ray up to t.
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
Where the article explains it
where is volume density, is emitted colour, and T(t) is accumulated transmittance along the ray up to t .
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 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 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.