Sentence examples for evolution of probability from inspiring English sources
It implies that either the decay at infinity is false, although not probable, implying that the time evolution of probability densities ceases to be tight, or the function N ( t ) may become a singular measure in finite time instead of being an L loc 1 ( R + ) function.
Recent works has shown that the aggregate dynamics of TCLs can be modeled by tracking the evolution of probability densities over discrete temperature ranges or bins.
Then, stochastic analysis is carried out to demonstrate the evolution of probability density function both over long-term period and short-term period.
Our numerical solver allows us to obtain the time evolution of probability distribution functions, and thus, the evolution of all possible macroscopic quantities that are given by suitable moments of the probability density function.
These semigroups are the dual of the semigroups for evolution of probability, while the latter are L 1 contracting and positivity preserving.
Figure 4 Time evolution of probability density and pseudospin current for the quantum gate σ x and σ y operation.
First, we plot the evolution of probabilities q for the primary user for a specific channel realization in Figure 4.
Moreover, we plot the evolution of probabilities q for the primary user and the secondary users in Figures 11 and 12 for n=2 and in Figures 13 and 14 for n=3 over a particular channel realization.
The resulting differential equation, obtained by letting Δ t→0, which describes the forward evolution of probabilities over time, is the master equation, or Kolmogorov forward equation, of the Markov process [ 68].
The time evolutions of probability densities in superposition states are illustrated using corresponding graphics.
