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In our theorems we generalize the above results considering (2pi/r -periodic functions and using simpler assumptions.
The structure of the model is similar to that of the population balance approach, but concentrates on droplet interactions with simpler assumptions of a functional form for breakage and coalescence rate constants.
We can give a direct proof of exponential decay for M based on this expression and using simpler assumptions on p and K that, however, do not cover the case when p can have large variation and p ( s ) can vanish for s ≃ 0. It is a natural extension of the case when p is constant as covered in [12].
The Sullivan method is the most widely used method for calculating DFLE, as it uses more readily available data and simpler assumptions than the multistate life table method [ 25].
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Notice that CA is stronger than the simpler assumption that P(X|U) is either a countably additive measure or has constant value 1. 21.
We have tested whether a simpler assumption regarding the distribution of the PR lengths could also suffice.
The simpler assumption of constant selection seems to provide a more plausible explanation for the patterns observed.
On the other hand, plenty of scope for creativity exists with the Black-Scholes method, even given the few simple assumptions that are used.
More importantly, I understand its limitations in describing the behavior of complex human beings and markets via simple assumptions and mathematics.
However, many gas reservoirs do not follow these simple assumptions.
Simple assumptions can be made about several error components.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com