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An unattributed quotation that Levy cites in passing defines cryptography as "the mathematical consequence of paranoid assumptions".
As a mathematical consequence of the low value of λ 3, the AGR only reached a peak at around 140-cm DBH and then decreased at larger diameters.
As a mathematical consequence of the herd behavior, the interaction terms in systems use the square root of the prey population rather than simply the prey population.
It is a mathematical consequence of first-order degradation that the minimum and maximum concentrations stabilise at a certain level over time, if the frequency and magnitude of the emission remain constant.
It is important to note that our model predicts where a virtual visual streak is located, while the existence of a virtual visual streak is a mathematical consequence of the fact that a surface with non-constant Gaussian curvature cannot be isometrically embedded in one with constant Gaussian curvature (e.g., intrinsically flat surface).
In contrast, these terms, that appear when acceleration is expressed in polar coordinates, are a mathematical consequence of differentiation; these terms appear wherever polar coordinates are used.
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Some mathematical consequences of the inequality including a stability result are presented.
However, Helmholtz had initially wanted to be a physicist, and had always been alive to the mathematical consequences of his work in physiology.
Reports of such area-related effects on network structure are rare [ 9], although the mathematical consequences of changing species numbers for network structure have been discussed [ 31, 34].
By asking what happened when space, food, or water did limit population growth, students could see the biological and mathematical consequences of assumptions.
A typical mathematical consequence is that regular perturbation expansions of the natural frequencies, in terms of a single parameter, break down in the vicinity of curve veering.
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