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Equation 1 · Part 8 · One Model, Many Modalities: What Multimodal Systems Actually Share

subscript

Ntok=HP⋅WP,N_{\mathrm{tok}} = \frac{H}{P} \cdot \frac{W}{P},
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

For images the dominant answer is patchification, introduced at scale by the Vision Transformer: cut the image into a grid of non-overlapping square patches, flatten each, and project it linearly into the model’s embedding dimension, so that a pure transformer applied directly to sequences of image patches performs competitively with convolutional networks when pre-trained on enough data [ 2 ] . The token count follows immediately from the geometry, Ntok=HP⋅WPN_{\mathrm{tok}} = \frac{H}{P} \cdot \frac{W}{P}. for an image of height H and width W at patch size P . The quadratic relationship is the entire practical story of image tokenisation. Halving the patch size quadruples the sequence, and attention cost grows faster still.…

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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.

Open the illustrated subscripts: which member of a family? guide →

Sources cited in the surrounding passage

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