To do so, we first utilize the formulation given in (22) which allows us to write S as S=left(A^{1}b^{l,1}right)^{2}left(sum_{N}h}^{N}h_{mn}^{l}right)^{2} (53).
Identifying the deficiencies in current design, simple design procedure of such elevated tanks utilizing the formulations developed is proposed.
By utilizing the formulations based on the associated flow rule (AFR) and the non-associated flow rule (NAFR), different levels of material anisotropy were considered with the developed equations.
The proof utilizes the kinetic formulation and the averaging lemma.
To assess empirically the influence of the above factors on the amount of disclosure by firms, the study utilizes the following basic formulation: {EnvDisc}_{it}={beta}_0+{beta}_1{size}_{it}+{beta}_2{profit}_{it}+{beta}_3mathrm{a}{uditor}_{it}+{beta}_4{industry}_{it}+{beta}_5{foreignassoc}_{it}+{beta}_6{age}_{it}+{varepsilon}_{it}.
The paper proposes an integrated approach to the design optimization of parallel manipulators, which is based on the concept of the workspace grid and utilizes the goal-attainment formulation for the global optimization.
The formulation utilizes the appropriate wave field expansions along with the translational addition theorems for spherical wave functions to develop a closed-form solution in form of infinite series.
The formulation utilizes the appropriate wave field expansions, the classical method of images, and the translational addition theorem for cylindrical wave functions, along with a simple local surface reaction model involving a complex amplitude wave reflection coefficient applied to simulate the relevant boundary conditions for the given configuration.
Of note, we utilize the epoprostenol formulation that contains glycine (Flolan®; GlaxoSmithKline, Research Triangle Park, NC, USA) instead of the formulation containing arginine (Veletri®; Actelion, South San Francisco, CA, USA) because of the more extensive safety data, particularly in postoperative patients [ 9].
Twenty-six countries and territories utilized the Northern Hemisphere formulation of influenza vaccine in their yearly activities, whereas nine countries and territories administered the Southern Hemisphere formulation.
