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Equation 15 · Part 3 · Building a Multimodal AI Application That Actually Uses Its Inputs

multiplication

⌈w/28⌉×⌈h/28⌉\lceil w/28 \rceil \times \lceil h/28 \rceil
multiplication

What this part means

Multiply the quantities on either side.

Its job in the formula

Multiply the quantities on either side.

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 ⌈\lceil…

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Learn the underlying idea

Multiplication scales one quantity by another. A dot, a cross, or adjacent symbols can indicate a product.

Open the illustrated multiplication: combining factors guide →

Sources cited in the surrounding passage

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