The logarithmic operator can now be defined using the order-distribution concept.
Thus, the concentration can be improved by using the sixth-order distribution.
The examples where the distribution order is increased in order to improve time-frequency resolution are shown in Figure 11. Figure 11 Time-frequency representation of signals with fast instantaneous frequency variation obtained by using: the Wigner distribution, the fourth-order complex-lag distribution, and the sixth-order complex-lag distribution.
In addition, we also present information of the short-range order of our nanostructures, using the radial distribution function (RDF) obtained by electron diffraction patterns.
Higher powers of logarithmic operators can be generated using order distributions.
It is impossible to use the aftershock distribution in order to define the fault plane of the event, since the aftershocks of the 19 33 UT event and the aftershocks of the 22 43 UT event are mixed temporally and spatially.
In order to use the treelet distribution as a reliable means of comparing PPI network topologies, one needs to ensure that it is robust; i.e. it does not change much with respect to small alterations to the network.
Here we use the distribution of gene order changes in the chloroplast genomes of the Campanulaceae to estimate phylogenetic relationships in the family.
Next, we used the joint cumulative distribution of order statistics to evaluate the probability of observing a particular configuration of ranks across different organisms by chance [ 19].
Even though the experimental results show one-dimensional heat propagation through the thickness, the 3D models are generated in order to use the temperature distributions predicted from the transient heat analysis for the further studies of mechanical analysis of the fire damaged walls.
Notice that this equation has mixed terms, containing both an s and a ln(s), a result that is generally easy to obtain using order-distributions.
