Symbol t
t is an argument of the function-like quantity on the left; its role is set by that function’s stated inputs.
Read this term in its guide →Published equation contexts
Why this formula appears here
The scale of that abstract argument, made concrete decades later, is stark. Gholami and colleagues, surveying twenty years of server hardware, report that peak hardware FLOPS scaled at roughly 3.0 times every two years while DRAM bandwidth scaled at only 1.6 times and interconnect bandwidth at 1.4 times over the same interval [ 13 ] . Those are compounding rates, and compounding rates diverge violently over long periods. If the two multipliers applied uniformly across a full twenty years — an extrapolation the source itself does not perform, offered here only to size the shape of the problem, not as a number the cited paper states — the ratio between available arithmetic and available…
Read the representative guide
Denominator: bandwidth(t)
The complete quantity below the fraction bar; it must be nonzero for this division.
Read this term in its guide →Denominator: bandwidth(0)
The complete quantity below the fraction bar; it must be nonzero for this division.
Read this term in its guide →Denominator: 1.6
The complete quantity below the fraction bar; it must be nonzero for this division.
Read this term in its guide →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.
Research cited beside this formula
Published contexts (1)
A symbol can carry a different meaning in another article. Each occurrence keeps its own guide and term definitions.
Equation 1 · Semiconductors
From Origins to Frontier: A History of AI Memory Systems and the Bandwidth Wall
This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.
The scale of that abstract argument, made concrete decades later, is stark. Gholami and colleagues, surveying twenty years of server hardware, report that peak hardware FLOPS scaled at roughly 3.0 times every two years while DRAM bandwidth scaled at only 1.6 times and interconnect bandwidth at 1.4 times over the same interval [ 13 ] . Those are compounding rates, and compounding rates diverge violently over long periods. If the two multipliers applied uniformly across a full twenty years — an extrapolation the source itself does not perform, offered here only to size the shape of the problem, not as a number the cited paper states — the ratio between available arithmetic and available…
Equation guide → · Article →