The transient behavior of field quantities is examined in detail by numerical calculations.
Magnetic clouds are the interplanetary manifestation of coronal mass ejections, which are transient expulsions of major quantities of magnetized plasma, from the Sun toward the heliosphere.
Few examples are the DNA microchimerism associated to pregnancy, which is caused by the transient circulation of minute quantities of fetal DNA in the maternal blood [Lo et al., 1998; Tjoa et al., 2006] or the trace quantities of donor's DNA in the body fluids (blood and urine) of transplanted patients [Chok et al., 2002; Gadi et al., 2006; Moreira et al., 2009; Pujal and Gallardo, 2008].
In 1995 the United States Food and Drug Administration concluded that "MSG and related substances are safe food ingredients for most people when eaten at the customary level," although the report acknowledged that some people, especially those with asthma, might have transient symptoms if very large quantities were consumed.
The infinite time limit plays an important role in this analysis as it indicates that the Lyapunov exponents represent time-averaged quantities (meaning that transient behavior has decayed).
Once the initial transient has subsided, global diagnostic quantities (Λ i, Rm, ℓ B, Λ d, and (Lambda _{d}^)) are time-averaged to minimize statistical errors.
The model is a consistent extension to the steady flamelet/progress variable (SFPV) approach, and employs an unsteady flamelet formulation to describe the transient evolution of all thermochemical quantities during the flame ignition process.
Systematic studies are presented of the dependence of eigenvalues, transient growth factors, and other quantities on the axial and azimuthal wave numbers and the Reynolds number R for R ranging from 102 to the idealized (physically unrealizable) value 107.
Many DAMP signals, such as extracellular ATP, are transient and released in limited quantities.
Although colonisation of the gastrointestinal tract appears to be transient [ 2], persistent shedders of high quantities of these organisms can exist within groups of cattle [ 3, 4].
