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2. ### Exponential growth - Wikipedia

en.wikipedia.org/wiki/Exponential_growth

For any fixed b not equal to 1 (e.g. e or 2), the growth rate is given by the non-zero time τ. For any non-zero time τ the growth rate is given by the dimensionless positive number b. Thus the law of exponential growth can be written in different but mathematically equivalent forms, by using a different base. The most common forms are the ...

3. ### Relative growth rate - Wikipedia

en.wikipedia.org/wiki/Relative_growth_rate

It is also called the exponential growth rate, or the continuous growth rate. Rationale [ edit ] RGR is a concept relevant in cases where the increase in a state variable over time is proportional to the value of that state variable at the beginning of a time period.

4. ### Double exponential function - Wikipedia

en.wikipedia.org/wiki/Double_exponential_function

A double exponential function (red curve) compared to a single exponential function (blue curve). A double exponential function is a constant raised to the power of an exponential function. The general formula is (where a >1 and b >1), which grows much more quickly than an exponential function. For example, if a = b = 10:

5. ### Doubling time - Wikipedia

en.wikipedia.org/wiki/Doubling_time

The doubling time is the time it takes for a population to double in size/value. It is applied to population growth, inflation, resource extraction, consumption of goods, compound interest, the volume of malignant tumours, and many other things that tend to grow over time. When the relative growth rate (not the absolute growth rate) is constant ...

6. ### Logarithmic growth - Wikipedia

en.wikipedia.org/wiki/Logarithmic_growth

Logarithmic growth is the inverse of exponential growth and is very slow. A familiar example of logarithmic growth is a number, N, in positional notation, which grows as log b (N), where b is the base of the number system used, e.g. 10 for decimal arithmetic. In more advanced mathematics, the partial sums of the harmonic series

7. ### Half-exponential function - Wikipedia

en.wikipedia.org/wiki/Half-exponential_function

Half-exponential functions are used in computational complexity theory for growth rates "intermediate" between polynomial and exponential.  A function grows at least as quickly as some half-exponential function (its composition with itself grows exponentially) if it is non-decreasing and , for every .