exponential growth

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log·a·rith·mic phase

exponential, a period in the course of growth of a bacterial culture in which maximal multiplication is occurring by geometric progression; thus, if the logarithms of their numbers are plotted against time, they will form a straight upward line.

exponential growth

strictly speaking that of a population where rate of growth is proportional to its population size, but is often used to mean an ever increasing growth.
References in periodicals archive ?
HYPER GROWTH--Because the hyperbolic plane grows exponentially, the violet outer boundary consumes as much yarn as the deep-purple center section does.
Instead of an algorithm requiring an amount of computer time that grows exponentially with the target number's size, computer scientists wanted one that grows more slowly, say, at a rate that's only proportional to the number size or, more likely, a straightforward power of the number size.
Newly Launched Commercial Division Grows Exponentially with 20+ Multi-Million Dollar Commercial Mortgage Applications in Process