## Notational Conventions

The need to keep track of many different mathematical objects could lead to a notational explosion. Adherence to strict mathematical consistency throughout the entry would have necessitated writing eqn [1] as, for example,

with '|' to be read as 'for the given', Xm and Xr the mutant and resident trait vectors, respectively, Eattr(Xr) the environment produced by Xr, and Eattr(Xr)(t) the corresponding environmental condition at t. This notational explosion is prevented by only displaying the symbols figuring in the specific argument at hand. For example, A(Xm|Eattr(Xr)(t)) is written as just A(t) when the argument is only about temporal fluctuations.

Vectors are assumed to be written as columns, with the transposition operator T transforming columns into rows. Differentiating a scalar for a column produces a row. In products, row vectors will be treated on equal footing with matrices. 1T denotes (1, ...,1) and n = 1TN (expected) total population size or density. Angular brackets, ( ), denote averaging.

Was this article helpful?

You Might Start Missing Your Termites After Kickin'em Out. After All, They Have Been Your Roommates For Quite A While. Enraged With How The Termites Have Eaten Up Your Antique Furniture? Can't Wait To Have Them Exterminated Completely From The Face Of The Earth? Fret Not. We Will Tell You How To Get Rid Of Them From Your House At Least. If Not From The Face The Earth.

Get My Free Ebook

## Post a comment