Equation 10 · Building a Multimodal AI Application That Actually Uses Its Inputs
What does this equation mean?
Read the formula alongside the article passage below. Each part has a deeper page with its role in the equation, the supporting passage and nearby citations.
This equation states an equality: the expressions on both sides have the same value under the article’s assumptions. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
Read it piece by piece
Symbol T
T is part of the quantity the equation computes from the expression on the right.
Symbol P
P occurs below the fraction bar. The quantity above the bar is divided by this expression; zero is excluded as a denominator.
=
The expressions on both sides represent the same quantity under the stated assumptions.
See an illustrated explanation →How to interpret it
With a fixed numerator, increasing a nonzero denominator reduces the fraction. Read it with the definitions, units, and assumptions supplied by the article.
What the article says around this equation
Image and video inputs are priced by tokenization rules that are public, mechanical, and different enough across vendors that a workload’s cost cannot be estimated from a single provider’s numbers and assumed to generalise. The general form, common to every tiling or patch-based image tokenizer, is . 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 formula is the same shape everywhere; the constant P , the resize rule applied before it, and the price per resulting token are what an integrator actually has to look up and budget against.
Sources cited in the article section
These citations give research context. Read each source to check which claims it supports.
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