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The exponential-based proportional hazards model is often assumed in time-to-event experiments but may only approximately hold.
Second, it is unlikely that uniform probabilities of occurrence of chimeric types will even approximately hold.
Note that this also suggests that the strength of coupling ɛ = 1 is sufficiently small for the predictions of the weak coupling theory to approximately hold.
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In traditional logic, the role of propositional functions is approximately held by terms.
The shift theorem for the QFT [8] approximately holds for the QWT that conducts a local QFT analysis.
While this assumption approximately holds in some situations, it is necessary to model variations over time in order to enable applications of gas distribution modelling in a wider range of realistic scenarios.
On the other hand, the output of the models should be quite similar, so that the postulated likelihood function approximately holds for the data, which might not hold as well when using the measurements as weights.
This relation approximately holds as well for not too skewed Inverse Gaussian distributions and is a good approximation to estimate its descriptor σ approximately from an empirically observed ω1/2.
However, since N u)/ n u) is arbitrarily close to 1 with arbitrarily large probability, the same relation approximately holds also for these ℓ (the error term is neglected in what follows).
There are undoubtedly some inmates with their own propensity for violence among the approximately 19,000 held in the LA county jail system.
In the following subsection, we outline the conditions when equations (9) and (10) hold approximately for fundamental network concepts in approximately factorizable module networks.
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