Even though the exact prediction of deflections is a difficult task that is neither necessary nor possible, the assumptions of codes of practice to consider time- and cycle-dependent effects of reinforced concrete are conceptually questionable.
This decomposition is possible under the assumption of a low-rank model for speech, and on the availability of an estimate of the noise correlation matrix.
The last factorization is possible under the assumption of statistical independence for angular and temporal dispersion processes (AS 1) and also for multipath propagation and Doppler shift mechanisms.
However, with increasing evidence of climate change, it is possible that the assumption of stationarity, which is prerequisite for traditional frequency analysis and hence, the results of conventional analysis would become questionable.
We enumerate a collection of 1, 2, 3, and 4-arity gates/cogates that represent constraints, and define a class of constraints that is possible under the assumption of a "bridge" between two particular basis changes.
The mathematical analysis in this paper was made possible by the assumption that the neural network has a linear dynamics, which does not reflect the intrinsic non-linear behavior of the neurons.
Secondly, it was possible that the assumption that two datasets should be independent was not fulfilled as violence related injuries were often rushed to the hospitals with medico-legal officers and then cases might be referred to police stations.
This sorting is possible under the assumption of acyclicity and may not necessarily be unique.
The linear summation of the calcium channels is possible under the assumption that there is no coupling between calcium channels.
It is possible that the assumption that the counts share the same distribution in a segment might not be verified.
The best fit possible under the assumption of maximal biomass prediction is R = 0.20 and R = 0.58, respectively.
