Sentence examples for after the analytic from inspiring English sources

After the analytic solutions for the velocity and temperature fields in the fluid and walls of microchannel are obtained, the entropy generation rate is discussed in detail and investigated considering slip flow and convective effects, simultaneously.

Consistent with a thematic approach to qualitative data [ 24], after the analytic findings pertaining to the meta-theme were determined the results were compared to the existing literature.

After obtaining the analytic solution of the equation, the convergence behaviors of this FNN are discussed.

After finding the analytic or approximate solution of equation (12), we expand u 0 ( x ) into its Taylor series with respect to x and u 1 ( t ) into its Taylor series with respect to t.

After studying the analytic (or Riesz) projection of X-valued functions, a representation of the dual space of Hp(X) as a space of antianalytic functions on the disc is given which generalizes a result of Bukhvalov.

After finding the analytic or approximate solution of equation (7), we can obtain the exact or approximate solution of equation (6) by changing the terms of Taylor series expansion for the solution of differential equation (7) in such a way that the relationship among the terms of Taylor series expansion in the sense of derivative and fractional derivative with respect to space remains the same.

After exclusions, the analytic population included 621 women (481 noncase subcohort members and 140 GDM cases).

After exclusions, the analytic cohort comprised 57 398 subjects (some participants were in more than one exclusion category).

After exclusions, the analytic cohort comprised 34 268 men (some participants were included in more than one exclusion category).

After these exclusions, the analytic cohort comprised 2317 ED patients for the secondary outcomes.

After the adjustment, the analytic regions had lower average GRP per capita compared to the 73 eligible regions (Table 1) and lower than the national average GRP per capita (mean = 138,000 Russian rubles (RUB), median = 140,000 RUB, converted to the 2004 price value) during 2004 2011.