Thereby, a direct computation can derive that δ 2 τ − ln ( ρ e λ τ ) = 23.6587 > 0 and λ − ln ( ρ e λ τ ) δ τ = 0.0337 > 0. Therefore, it follows from Theorem 3.1 that the null solution of system (4.1) is stochastically exponentially stable with the convergence rate 0.0337 / 2 = 0.0169 (see, Figures 1-3).
Thereby, a direct computation can derive that δ 2 τ − ln ( ρ e λ τ ) = 23.7485 > 0 and λ − ln ( ρ e λ τ ) δ τ = 0.0330 > 0. Therefore, it follows from Theorem 3.1 that the null solution of system (4.1) is stochastically exponentially stable with the convergence rate 0.0330 / 2 = 0.0165.
Briefly, since the maximum intensity value of an RGB image analyzed in ImageJ is 250, the intensity of a stained region of interest was subtracted from 250, thereby deriving a reciprocal intensity that is directly proportional to the amount of chromogen.
The belief that the agent thereby derives is, although it is inferred, not derived from observation.
For any general stationary samples meeting two mixing conditions, we find that knowledge of bivariate distribution or bivariate copula is sufficient to compute EI analytically and thereby deriving many extremal properties.
The present study is similar to these in that it aims at finding a valid numerical representation of the subsurface both with respect to geological structure and physical property distributions, thereby deriving the fluid flow and temperature fields.
Mood and physiological feedback can influence how a person cognitively processes an experience, thereby affecting the self-efficacy derived from that particular experience (Bandura, 1997).
Thereby, we derived a novel 3D skin-melanoma spheroid model that contained spheroids which had been cultured in vitro for a total of 31 days in the context of artificial organotypic skin.
Digital PCR (dPCR) amplifies a single DNA template from minimally diluted samples, thereby generating amplicons that are derived exclusively from one positive reaction chamber that contains at least one target molecule.
Thus, against then-current value-theoretical intuitionism, Sartre denies that value can "deliver itself to a contemplative intuition which would apprehend it as being value and thereby would derive from it its right over my freedom".
