Equation 15 · Part 2 · Building a Multimodal AI Application That Actually Uses Its Inputs
Symbol h
What this part means
the image’s pixel dimensions after any provider-side resize.
Its job in the formula
h 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 h→Article meaning
Where the article explains it
The general form, common to every tiling or patch-based image tokenizer, is T(w, h) = , where w and h are the image’s pixel dimensions after any provider-side resize and P is that provider’s patch edge length in pixels.
The passage around this formula
OpenAI’s newer patch-tokenized models cover an image with 32-pixel-square patches and cap the total patch count per image, resizing proportionally down to fit the cap when an image would otherwise exceed it — for example, resizing an 1800-by-2400-pixel image down to 1056 by 1408 pixels to land at 1,452 patches against a 1,536-patch budget — while a detail: low setting instead fixes the cost at 85 tokens regardless of the original size by resizing to 512 by 512 first, and an original or auto detail setting preserves full resolution for coordinate-sensitive tasks at correspondingly higher token cost [ 6 ] . Anthropic’s documentation states the rule for Claude directly: an image costs …
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 surrounding passage
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