Sedimentation theory for multiple species suspensions, modified to account for continuity and rouleau formation, is used to model the separation process and optimize the separation chamber geometry.
Consequently, Vasubandhu, like his Sarvāstivāda forbears, was repeatedly preoccupied with the need to account for continuity.
According to Zongmi, this denial of the self cannot account for continuity, and in particular, the links between actions and consequences.
In order to avoid the artifacts, we devise segment selection rules that will take into account timbre continuity at the boundaries of consecutive segments.
Realists developed causal theories of reference to account for continuity of reference for terms like 'atom' or 'electron', even though the theories about atoms and electrons have undergone significant changes.
In both cases, the concept of appropriation provides an account of continuity in the mental stream that goes against the stipulations of the Abhidharmic principle of the momentariness of mental states.
These metrics take into account the continuity of the visual trajectory and its first derivative and of the fundamental frequency (F0), and the correctness of the rhythm structure of the synthesized utterance.
The theoretical developments that led to the notion of repository consciousness (ālaya-vijñāna), which is associated with the Yogācāra School, are already foreshadowed in these Abhidharma debates about how best to account for continuity in the mental stream and the efficacy of accumulated karmic potential.
Consequently, taking into account the continuity of h and the closedness of X, for all (tin[a,b]setminus U_{0}) we get u^{primeprime}(t)=phibigl t,u(t),u^{prime}(t bigr) inoverline{Psi} bigl t,u(t),u^{prime}(t bigr) subseteq h^{-1}bigl(G bigl t,u(t),u^{prime}(t bigr bigr).
Let (epsilon> 0), taking into account the continuity of T, we can choose n sufficiently large such that biggl| g - sum_{i = 1}^{n}lambda_{i} T(h_{i}) biggr| + biggl| T g) - TBiggl( sum_{i = 1}^{n} lambda_{i} T(h_{i} Biggr) biggr| < epsilon and, consequently, we infer that bigl| g - T g bigr| leq r + epsilon,quad forallepsilon> 0, which implies that bigl| g - T g bigr| leq r.
