A projection is a potential future evolution of a quantity or set of quantities, often computed with the aid of a model.
This allows us to calculate exactly the complete time evolution of any quantity as well as their mean values averaged over an infinite time.
The latter describes the evolution of a quantity, obtained by the difference of the two solutions, corresponding to coherent and mixed mode transport.
The differential equations describing the time evolution of the quantity Q i of a substance in liver, fat, and poorly perfused or well perfused tissues were of the form where F i is blood flow through tissue i (i – 1,..., 4), V i is its volume, P i is the corresponding tissue/blood partition coefficient, and Cart is the arterial blood concentration.
Even without knowledge of the state evolution of microscopic quantities, more readily observable macroscopic quantities can clearly affect the stability of certain patterns.
The resulting thermochemical trajectories are used to examine the evolution of thermodynamic quantities and chemical composition, as well as measure fluid parcel residence times and path lengths during different phases of the combustion process.
The balance equations driving the evolution of extensive quantities associated with all forms of energies write the following: ∇. σ + r F m = 0 (momentum balance), (1).
By examining the evolution of these quantities we can also learn what are the favorable conditions for coronal eruptions such as flares and coronal mass ejections.
Non-trivial patterns in the time evolution of average quantities like crosslink densities, partly observed in prior studies [2 4], are naturally emerging from the model by computing marginals of the four-dimensional distribution possessing an interesting multimodal structure.
It implies that for thinning fluids, equivalent in the sense of the definition accepted, the differences in the evolution of main quantities (fracture length, speed, opening, net pressure) are insignificant within the range of time from 10 s to 27 h.
