These data showed that the activation of the two pathways was not mutually dependent following DC120 treatment.
Then the following mutually exclusive situations hold: (i) Algorithm 1 generates finite number of descent steps followed by infinitely many null steps.
We have the following mutually exclusive events for the transmission of a packet: Event 1: C1 = {primary packet is successfully received at PR in the first transmission slot}.
The results were organized into the following mutually exclusive groups for comparison: domestic cat studies, big cat studies, and small cat studies excluding domestic cats (i.e. small exotic cats).
As the signals are zero-mean and mutually uncorrelated, the following holds boldsymbol{Phi}_{boldsymbol{y}} t,k) = boldsymbol{Phi}_{boldsymbol{s}} t,k) + boldsymbol{Phi}{boldsymbol{i} t,k)} + boldsymbol{Phi}_{boldsymbol{v}} t,k).
The second assumption is that the speech signals are sparse in the STFT domain, so that each TF bin can be associated to one of the following mutually exclusive hypotheses begin{array}{*{20}l} &mathcal{H}_{s}: boldsymbol{y} t,k) approx boldsymbol{s} t,k) + boldsymbol{v} t,k) text{desired signal is} &text{dominant}, end{array} (5a).
In cooperation mode, the secondary system is always ready to serve as a relay for the primary system, for which we have the following mutually exclusive events: Event 1: E1 = {primary packet is successfully received at PR in the first transmission slot}.
The branches are mutually exclusive events following each node.
Lesion type was ascertained from the pathology report and classified into the following mutually exclusive categories: (i) invasive adenocarcinoma; (ii) adenoma (any adenoma including tubular, sessile, or flat).
Race/ethnicity was classified as the following mutually exclusive racial/ethnic groups: African-American, Asian/Pacific Islander, Hispanic (of any race), non-Hispanic White, and other/unknown.
