Sentence examples for with respect to the radius of from inspiring English sources

The entire moving velocity decreases with increasing particle radius with respect to the radius of the grain boundary.

The analytical equations of the collector geometry of all models are calculated with respect to the radius of the cylindrical water storage tank and the reflector rim angles.

Simulation results show that, the total amount of the adsorbed chains scales linearly with respect to the radius of the cylinders.

The transmit power variation at a secondary TX with respect to the radius of the uncertainty balls.

The maximum lateral vibration amplitude is 0.075 mm with respect to the radius of 1000 m, while the maximum vertical vibration amplitude is 0.43 mm with respect to the radius of 100 m; the lateral acceleration increases with the increasing radius, and the maximum lateral acceleration is 0.11 m/s2 in accordance with a radius of 1000 m.

The unique operator that merges the operations of differentiating and integrating with respect to the radius of the hypercubical function is given by ∂ ± m ∂ r ± m H C ( k, n, r ) ≡ D ± m H C ( k, n. r ).

The geometry consists of parabolic thickness variation, with respect to the axial coordinate for beams, and with respect to the radius for plates.

The incline angle represents the deviation of the major axis of a cell with respect to the radius emanating from the manually defined center point of the cross section.

In the process of proving our main results, we need to describe the decay of integral on the ball with respect to the radius σ.

This points to the need for an alternate approach where the holes of finite radius are properly incorporated in the modeling, and robustness with respect to the radius is maintained.

Thus, the radius of the body and the grid spacing with respect to the gyro radius r are R S = r i = 10r e and Δ = 0. 1r i = r e, respectively.