0 An exponential rate of increase becomes quicker and quicker as the thing that increases becomes larger: --
There has been an exponential increase in the world population this century.
We are looking for exponential growth in our investment.
1 containing an exponent (= a number or sign that shows how many times another number is to be multiplied by itself): --
64 is an exponential expression.
2 An exponential equation is an equation (= mathematical statement) in which the variable (= letter or symbol) appears in an exponent. --
3 becoming quicker and quicker: --
There has been an exponential increase in sales since the new advertising campaign began.
We are looking for exponential growth in our investment.
We also mention other work on models (either discrete or diffusion) that admit steady state distributions consisting of a finite or infinite sum of product form exponentials.
We assume that the reader is familiar with the construction of exponentials in this category.
As a result, negation becomes involutive, whereas weakening and contraction become attributes of special connectives - exponentials.
Then, as the cartesian closed structure is also preserved, the construction of the exponentials in the slices coincides.
The exceptions are the exponentials of the eigenvalues.
The number of exponentials necessary for a good fit of the data was determined by visual inspection.
A similar remark holds for unary s connectives (the exponentials '!' and '?').
Although it is only a toy example, the next theorem is important: the same machinery could work mutatis mutandis in the case of exponentials.
