Sentence examples for with respect to the dimensions from inspiring English sources

With respect to the dimensions of the internal tunnels, there were variations in their average width, increasing with time.

In order to reduce the surface damage, the influence of the parameters on FIB milling process was examined with respect to the dimensions of the milled pattern.

A sensitivity analysis is performed to establish the domain of validity of the solution with respect to the dimensions of the notched tube.

In order to characterize the absorber and explain the multiband topology, some parametric studies with respect to the dimensions of the structure are carried out and the contributions of the quadruplets to the absorption spectrum are analyzed.

The device deformation changes (∼3 μm) induced by power dissipation of 9.5 mW (temperature increase of 395 K) are found to be negligible with respect to the dimensions of the polyimide fixed island structure (160 μm × 120 μm).The optical characterization methods are proved to be a useful tool in design of new thermally based MEMS devices.

With respect to the dimensions of urban livability, the respondents are relatively satisfied with the convenience of public facilities (3.118), the natural environment (3.057) and the sociocultural environment (3.056), while slightly dissatisfied with urban security (2.788), environmental health (2.912) and convenient transportation (2.929).

A "ring diameter" (DR) was created by the convergence of three fibAu_h with respect to the dimension of the target viruses (DT), such as adenovirus (Adeno), encephalomyocarditis virus (EMCV), influenza virus (H1N1) with different sizes.

A special specimen was designed for the purpose of accuracy assessment, and investigated not only with respect to the dimension tolerances but also regarding the possibility to assemble/disassemble specific geometric interferences.

It will be shown that, in theory, the computational cost of the proposed algorithm grows linearly with respect to the dimension of the underlying probability space of the system.

Each description was coded with respect to the dimension of the task (resource, operation, or goal) and the phase of 'making conjectures;' working independently to make conjectures, or sharing and discussing students' conjectures, that the description related to.

The purpose of this survey is to give a comprehensive overview of classification results for proper Lie group actions on smooth manifolds, with emphasis on the complex-geometric setting, where we assume that the group dimension is "large"  with respect to the dimension of the manifolds.