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Exponential growth is a process that increases quantity over time at an ever-increasing rate. It occurs when the rate of change is proportional to the quantity itself. See examples, formula, and applications in biology, physics, economics, finance, and computer science.
A mathematical problem of calculating the number of grains of wheat on a chessboard if each square has twice as many grains as the previous one. Learn about its origins, solutions, and applications in exponential growth, compound interest, and technology strategy.
Relative growth rate (RGR) is a rate of growth per unit time, as a proportion of its size at that moment in time. It is also called the exponential growth rate, or the continuous growth rate. Learn how to calculate RGR and its applications in plant physiology.
Doubling time is the time it takes for a population to double in size or value. Learn how to calculate it from the growth rate, and see examples of doubling times for various phenomena such as population, inflation, interest and tumours.
Learn about the exponential function, a mathematical function that relates the rate of change to the value of the function. See how it is defined, graphed, and extended to complex numbers and matrices, and how it relates to logarithms and trigonometric functions.
e is a transcendental number that is the base of the natural logarithm function and the limit of compound interest. Learn about its history, definitions, properties, applications, and representations from this comprehensive Wikipedia article.
The formula can be read as follows: the rate of change in the population (dN/dt) is equal to growth (rN) that is limited by carrying capacity (1 − N/K). From these basic mathematical principles the discipline of population ecology expands into a field of investigation that queries the demographics of real populations and tests these results ...
Learn about the rapid growth of the complexity of a problem due to the way its combinatorics depends on input, constraints and bounds. See examples of combinatorial explosion in mathematics, puzzles, games, computing and arithmetic.