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In this case the division by p in the last formula is not a numerical division either, but converts a dimensionless number to the correct quantity including unit. A popular approximated method for calculating the doubling time from the growth rate is the rule of 70 , that is, T ≃ 70 / r {\displaystyle T\simeq 70/r} .
For example, we might want to calculate the relative change of −10 to −6. The above formula gives (−6) − (−10) / −10 = 4 / −10 = −0.4, indicating a decrease, yet in fact the reading increased. Measures of relative change are unitless numbers expressed as a fraction. Corresponding values of percent change would be ...
The rate at which a population increases in size if there are no density-dependent forces regulating the population is known as the intrinsic rate of increase. It is d N d t = r N {\displaystyle {\mathrm {d} N \over \mathrm {d} t}=rN} where the derivative d N / d t {\displaystyle dN/dt} is the rate of increase of the population, N is the ...
In mathematics, the exponential function is the unique real function which maps zero to one and has a derivative equal to its value. The exponential of a variable is denoted or , with the two notations used interchangeably.
Slope illustrated for y = (3/2)x − 1.Click on to enlarge Slope of a line in coordinates system, from f(x) = −12x + 2 to f(x) = 12x + 2. The slope of a line in the plane containing the x and y axes is generally represented by the letter m, [5] and is defined as the change in the y coordinate divided by the corresponding change in the x coordinate, between two distinct points on the line.
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(include rise/set/transit times of the Sun and other celestial objects) The equation of time described on the Royal Greenwich Observatory web site; The Equation of Time and the Analemma, by Kieron Taylor; An article by Brian Tung containing a link to a C program using a more accurate formula than most (particularly at high inclinations and ...
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