Sentence examples for depending on the radius from inspiring English sources
An essential part of the message of Lemma 1 is that the Jacobian allows a factorization into a term not depending on the radius coordinate and one that is independent of the directional coordinates.
For a closed spherical shell, there are either zero or two "critical frequencies", depending on the radius and thickness.
The paper discusses the properties of edge bending, evaluation of the light losses depending on the radius of curvature, and analysis of possibilities to reduce these losses.
The focal length depending on the radius of curvature and thickness of UV adhesive is in the range from 28.1 to 45.4 μm.
We find that the activation energies for armchair SWCNTs range from 7.18 to 11.94 eV, depending on the radius of SWCNTs.
The clinical wear rates of current designs of artificial hip joints which pair either stainless steel or CoCrMo alloy femoral heads with ultra high molecular weight polyethylene (UHMWPE) sockets are found to vary from 50-140 mm3/year depending on the radius of the head of the hip joint.
If the cumulative angle is greater than, we drop down to the next band j+1 and reset to 0. (The very first child is a singular case, since the band is just a spherical cap). The angle between a child on one band and the next depends on the radius of the largest child in band j and the radius of the largest child in band j+1.
In general, it is assumed that the cooling rate of a metallic glass rod depends on the radius of its cross section.
The boundaries between stable motion and unstable motion depend on the radius of the tank, the liquid height, the gravitational intension, the surface tensor and the sloshing damping.
The structures of powdery MnO2 produced are found to depend on the radius of the Mz+ counter cation in addition to the pH and Ev conditions.
