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2. Exponential growth - Wikipedia

   en.wikipedia.org/wiki/Exponential_growth

   Exponential growth. Exponential growth is a process that increases quantity over time at an ever-increasing rate. It occurs when the instantaneous rate of change (that is, the derivative) of a quantity with respect to time is proportional to the quantity itself. Described as a function, a quantity undergoing exponential growth is an exponential ...

3. Exponential function - Wikipedia

   en.wikipedia.org/wiki/Exponential_function

   Exponential functions with bases 2 and 1/2. 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, although it can be extended to the complex numbers or generalized to other mathematical objects like matrices or Lie algebras.

4. Malthusian growth model - Wikipedia

   en.wikipedia.org/wiki/Malthusian_growth_model

   A Malthusian growth model, sometimes called a simple exponential growth model, is essentially exponential growth based on the idea of the function being proportional to the speed to which the function grows. The model is named after Thomas Robert Malthus, who wrote An Essay on the Principle of Population (1798), one of the earliest and most ...

5. Relative growth rate - Wikipedia

   en.wikipedia.org/wiki/Relative_growth_rate

   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. In terms of differential equations, if is the current size, and its growth rate, then relative growth rate is. If the RGR is constant, i.e., a solution to this equation is.

6. Wheat and chessboard problem - Wikipedia

   en.wikipedia.org/wiki/Wheat_and_chessboard_problem

   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 ...

7. Euler's identity - Wikipedia

   en.wikipedia.org/wiki/Euler's_identity

   Euler's identity. In mathematics, Euler's identity [note 1] (also known as Euler's equation) is the equality. is pi, the ratio of the circumference of a circle to its diameter. Euler's identity is named after the Swiss mathematician Leonhard Euler. It is a special case of Euler's formula when evaluated for .

8. e (mathematical constant) - Wikipedia

   en.wikipedia.org/wiki/E_(mathematical_constant)

   Described as a function, a quantity undergoing exponential growth is an exponential function of time, that is, the variable representing time is the exponent (in contrast to other types of growth, such as quadratic growth).

9. Growth function - Wikipedia

   en.wikipedia.org/wiki/Growth_function

   The growth function, also called the shatter coefficient or the shattering number, measures the richness of a set family or class of function. It is especially used in the context of statistical learning theory, where it is used to study properties of statistical learning methods. The term 'growth function' was coined by Vapnik and Chervonenkis ...