Equation 13 · Part 1 · How AI Memory Systems and the Bandwidth Wall Actually Work
Symbol l
What this part means
l is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Its job in the formula
l 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 l→Article meaning
The passage around this formula
which grows linearly in both batch size and sequence length, with the leading factor of two accounting for storing both keys and values [ 9 ] . That single equation is the whole mechanism: nothing about it is a design choice an inference engineer can simply decline. Extend the conversation, and l grows; serve more requests at once, and b grows; either way grows with it, and Hooper and colleagues note that at sufficiently long context lengths the KV cache — not the model’s weights — becomes the dominant consumer of memory during inference [ 9 ] .
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
These citations provide research context; check each source for the exact claim it supports.