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2. Exponential growth - Wikipedia

   en.wikipedia.org/wiki/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 function of time ...

3. Exponential decay - Wikipedia

   en.wikipedia.org/wiki/Exponential_decay

   Exponential decay. A quantity undergoing exponential decay. Larger decay constants make the quantity vanish much more rapidly. This plot shows decay for decay constant ( λ) of 25, 5, 1, 1/5, and 1/25 for x from 0 to 5. A quantity is subject to exponential decay if it decreases at a rate proportional to its current value.

4. Logistic function - Wikipedia

   en.wikipedia.org/wiki/Logistic_function

   A logistic function or logistic curve is a common S-shaped curve ( sigmoid curve) with the equation. where. , the value of the function's midpoint; , the supremum of the values of the function; , the logistic growth rate or steepness of the curve. [1] Standard logistic function where. For values of in the domain of real numbers from to , the S ...

5. Babylonian mathematics - Wikipedia

   en.wikipedia.org/wiki/Babylonian_mathematics

   Growth. Babylonians modeled exponential growth, constrained growth (via a form of sigmoid functions), and doubling time, the latter in the context of interest on loans. Clay tablets from c. 2000 BC include the exercise "Given an interest rate of 1/60 per month (no compounding), compute the doubling time."

6. 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.

7. Volatility (finance) - Wikipedia

   en.wikipedia.org/wiki/Volatility_(finance)

   Volatility (finance) CBOE Volatility Index (VIX) from December 1985 to May 2012 (daily closings) In finance, volatility (usually denoted by "σ") is the degree of variation of a trading price series over time, usually measured by the standard deviation of logarithmic returns . Historic volatility measures a time series of past market prices.