Various preclinical investigations have demonstrated the manifold beneficial actions of arundic acid against neurological diseases, including ischemic stroke, Parkinson's disease, amyotrophic lateral sclerosis and Alzheimer's disease.
This might be due to its manifold putative sites of action when interfering with the pain system, that is, locally at the nerve endings [ 17], at the dorsal root ganglia [ 28], or on the spinal level [ 29].
Therefore a pattern is not an isolated solution but rather generates a manifold of solutions under the action of translations, which is called an orbit under the action of the group of translations.
Such observations illustrate the complex manifold actions of 4-HPR, which may cause cell death by mixed apoptosis/necrosis by both caspase-dependent and -independent pathways (DiPietrantonio et al, 1998; Maurer et al, 1999).
Swanberg, even when he makes movies that cost around two thousand dollars, has an abstract sense of story, of the complex and manifold connections between the bit of action shown on-screen and the world that it evokes.
If formulated as above, a spacetime is a manifold of events with certain fields defined on the manifold.
The reasons for this are manifold, of course.
Therefore, equation (5) represents a fast manifold and equation (2) represents a slow manifold of the dynamics.
The attractions of the Titanic story, with its manifold ingredients — action, romance, tragedy, salvation, history, culture, huge metal machines — are obvious.
