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Equation 1 · Part 6 · One Model, Many Modalities: What Multimodal Systems Actually Share

fraction

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

What this part means

Divide the expression above the line by the one below it.

Its job in the formula

The expression above the fraction bar is divided by the complete expression below it. The denominator must not be zero.

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 fraction a/b means a divided by b. The top number is the numerator; the bottom number is the denominator, and it cannot be zero.

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Sources cited in the surrounding passage

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