Symbol w_ceiling
eiling is part of the quantity the equation computes from the expression on the right.
Read this term in its guide →Published equation contexts
Why this formula appears here
Against that record, Wiser, Ribeck and Lenski fit fitness trajectories from all twelve populations across 50,000 generations against two competing functional shapes for how relative fitness might grow with time. One is a form that saturates — fitness rising quickly at first and then flattening toward a fixed asymptote, the kind of ceiling a “diminishing returns” reading of Lenski’s 1991 result would predict. The other is a power-law form, with no fixed limit: growth continues indefinitely, at an ever-slowing rate that nonetheless never reaches zero. Schematically, the contrast is between something like . which approaches a fixed value of 1 + a/b as t grows without bound,…
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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 →Symbol a
a occurs above the fraction bar. The numerator is divided by the entire denominator below it.
Read this term in its guide →Symbol b
b occurs below the fraction bar. The quantity above the bar is divided by this expression; zero is excluded as a denominator.
Read this term in its guide →Denominator: 1 + bt
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
- [3] Historical contingency and the evolution of a key innovation in an experimental population of Escherichia coli ↗
- [14] They're back! ↗
- [2] Long-Term Dynamics of Adaptation in Asexual Populations ↗
- [13] The E. Coli Long-Term Evolution Experiment Is The Longest-Running Study Of Its Kind, And It's Been Going For 80,000 Generations ↗
Published contexts (1)
A symbol can carry a different meaning in another article. Each occurrence keeps its own guide and term definitions.
Equation 1 · Evolutionary Biology
Seventy-Five Thousand Generations of E. coli, and Counting
This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.
Against that record, Wiser, Ribeck and Lenski fit fitness trajectories from all twelve populations across 50,000 generations against two competing functional shapes for how relative fitness might grow with time. One is a form that saturates — fitness rising quickly at first and then flattening toward a fixed asymptote, the kind of ceiling a “diminishing returns” reading of Lenski’s 1991 result would predict. The other is a power-law form, with no fixed limit: growth continues indefinitely, at an ever-slowing rate that nonetheless never reaches zero. Schematically, the contrast is between something like . which approaches a fixed value of 1 + a/b as t grows without bound,…
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