# exponential growth

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## log·a·rith·mic phase

exponential, a period in the course of growth of a bacterial culture in which maximal multiplication is occurring by geometric progression; thus, if the logarithms of their numbers are plotted against time, they will form a straight upward line.
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Caption: Figure 1: (a) Standard deviation of U when [[xi].sub.i] follow the truncated exponential law in [0,10] and = [[sigma].sub.i] 5%.
--for [beta] = 1: this case of an exponential law [lambda] = 1/[eta], it is a fatigue material or during operation.
It is based on the grey exponential law resulting from accumulated generating and moving averaging operation, which has an ideal predictive effect for the time series with the approximate homogeneous exponential characteristics.
Next we derive the conservation laws for the magma equation with an exponential law for the permeability and viscosity using the multiplier method.
Assuming that the exponential law of reliability is valid (this law is characterized by the largest entropy and, hence, is the most conservative one), we find the RUL as
It is experimentally established that chemical reactions usually pass according to exponential law (7).
The author of the article did certain calculations in order to prove the following hypothesis: time needed for removing the failure is distributed according to the exponential law. The author also calculated the average time limit for repair.
According to the exponential law, the world's complexity should continue to increase at an increasing rate.
The decay in the orientation function initially followed a simple exponential law (Fig.
I wanted to base the diameters of the star symbols on an exponential law involving the stellar magnitude, as recommended by Andrew T.
The durations of the time-fields are automatically computed with the exponential law (see section 1.5).
that is, the convergence of solutions can be described by the exponential law (10).

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