Sentence examples for in analogous form from inspiring English sources

Integrating the inequality from above on ([t,T)), we obtain v 0,t geq C_{3} T-t)^{-beta }, where (beta = fraC_{3} T-t-1}). In analogous form we obtain u(0,t)geq C_{1}(T-t)^{-betaa }, where (alpha = frac{p+1}{pq-1}). Doing a similar analysis to the one developed abeta, we see that there exists a constant (C>0) such that for (0< t< T) Cbigl(v(0,t)bigr)^{(p+1)q/(q+1)}leq u^{q}(0,t).

It has been a spectral, residual influence here, surfacing in strange, analogous forms.

Analogous forms of RNA granules have recently been identified in mitochondria with roles in mitochondrial ribosome biogenesis and RNA processing [ 14].

They are analogous in form and technique to Chinese pottery of the Song dynasty and are generally regarded as being contemporary with the Song or Yuan period.

"And they both carry themselves in analogous way.

In the Euclidean case, we first recall that Zhang [4] studied the global existence for a parabolic problem in divergence form analogous to (1.1) when the potential V is in parabolic Kato class at infinity (P^{infty}), the asymptotic behavior of solutions for the problem was studied by Zhang and Zhao [5].

Figure 4A illustrates a chromaticity diagram for these 29 species as seen by trichromatic spider monkeys, plotted in a form analogous to the MacLeod and Boynton chromaticity diagram for humans [52] consisting of L/(L+M) and S/(L+M) chromaticity axes.

In contrast, in the presence of 10 μM thapsigargin (TG), which is known to retain SERCA in a form analogous to E2, the histogram showed two peaks around 5.4 ± 0.7 and 7.2 ± 1.0 nm.

Probabilities for neutral model type V are difficult to write in a closed form analogous to Equation 7. Probabilities for neutral model type HVI describe the situation where not all individuals have the same probability of being labeled a case.

Easily calculable expressions are derived for the corresponding apparent Young's modulus and the modified apparent Young's modulus in forms analogous to those previously given for blocks of circular cross-section.

Our data may also be relevant to analogous material formed in other hydrocarbon-rich environments, such as the surface and atmosphere of Titan and other icy bodies, such as comets, and to the results of in situ analyses of extraterrestrial organic matter.