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  2. Exponential growth - Wikipedia

    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. Exponential function - Wikipedia

    Exponential function. exp ⁡ z = ∑ n = 0 ∞ z n n ! {\displaystyle \exp z=\sum _ {n=0}^ {\infty } {\frac {z^ {n}} {n!}}} The exponential function is a mathematical function denoted by or (where the argument x is written as an exponent ). Unless otherwise specified, the term generally refers to the positive-valued function of a real variable ...

  4. Doubling time - Wikipedia

    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 ...

  5. Wheat and chessboard problem - Wikipedia

    The exercise of working through this problem may be used to explain and demonstrate exponents and the quick growth of exponential and geometric sequences. It can also be used to illustrate sigma notation. When expressed as exponents, the geometric series is: 2 0 + 2 1 + 2 2 + 2 3 + ... and so forth, up to 2 63. The base of each exponentiation ...

  6. Relative growth rate - Wikipedia

    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.

  7. Malthusian growth model - Wikipedia

    A model of population growth bounded by resource limitations was developed by Pierre Francois Verhulst in 1838, after he had read Malthus' essay. Verhulst named the model a logistic function. See also. Albert Allen Bartlett – a leading proponent of the Malthusian Growth Model; Exogenous growth model – related growth model from economics