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The doubling time is a characteristic unit (a natural unit of scale) for the exponential growth equation, and its converse for exponential decay is the half-life. As an example, Canada's net population growth was 2.7 percent in the year 2022, dividing 72 by 2.7 gives an approximate doubling time of about 27 years.
The formula above can be used for more than calculating the doubling time. If one wants to know the tripling time, for example, replace the constant 2 in the numerator with 3. As another example, if one wants to know the number of periods it takes for the initial value to rise by 50%, replace the constant 2 with 1.5.
In a 1961 paper, P. C. Paris introduced the idea that the rate of crack growth may depend on the stress intensity factor. [4] Then in their 1963 paper, Paris and Erdogan indirectly suggested the equation with the aside remark "The authors are hesitant but cannot resist the temptation to draw the straight line slope 1/4 through the data" after reviewing data on a log-log plot of crack growth ...
Fastran is a computer program for calculating the rate of fatigue crack growth by combining crack growth equations and a simulation of the plasticity at the crack tip. Fastran models accelerations and retardation and other variable amplitude loading effects in crack growth using a crack closure model.
Relative growth rate (RGR) is growth rate relative to size - that 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.
The growth equation for exponential populations is = where e is Euler's number, a universal constant often applicable in logistic equations, and r is the intrinsic growth rate. To find the relationship between a geometric population and a logistic population, we assume the N t is the same for both models, and we expand to the following equality ...
What is your personal inflation rate, and what does it mean for you? Calculating your personal inflation rate can help you navigate rising prices and manage your money. How to calculate your ...
The Solow growth model is a model of economic development into which the Solow residual can be added exogenously to allow predictions of GDP growth at differing levels of productivity growth. The Balassa–Samuelson effect describes the effect of variable Solow residuals: it assumes that mass-produced traded goods have a higher residual than ...