This is equivalent to considering functions of pairs of commuting self-adjoint operators.
Local information was obtained from the 200 nearest cytosines (which is equivalent to considering CpGs with 3000 bps of a specific site in the honey bee methylation data).
Using (11), this becomes equivalent to considering whether MI B, { A, D}| C) is the same as MI B, { A, D}), which are clearly inequal.
Our prediction is equivalent to considering the bacterial cellular behaviour to be related with biological robustness, as supposing that the bacteria is not seeking for its optimality when undergoing stress response, but seeking for sub-optimality.
Our approach here is to calculate an interpolated and smoothed function for how the odds ratio varies with s i (which is equivalent to considering β i not as a constant but as a function of s i ).
To this aim, we set a rather conservative limit of 250,000 bp for TRAM, considering that the Entrez Gene set of 27,018 human genes, that is the largest known, has a mean size of 46,210 bp and a standard deviation of 107,161 bp, therefore our limit is equivalent to considering a size range within mean plus or minus 2 SD (approximately 95% of values in a Gaussian distribution).
Special attention is given to the case where the transition probabilities are independent of the mode, which is equivalent to consider the Metzler matrices on SLS framework to have identical columns.
As proved in [26], this is equivalent to consider that the SUs are synchronized with respect to slot boundaries.
This is equivalent to consider the imperfect (hat {K}_{r}) estimation obtained from the UWB as part of the algorithm.
To declare oneself as a secular is considered equivalent to being considered an atheist in the public imagination.
