Sentence examples for at corresponding points from inspiring English sources

With a group action on manifold M, we can geometrically characterize invariant fields: The symmetry transformations g of M define correspondences between the points of M, and the pushforwards of g define correspondences between the tangent vectors at corresponding points.

Hence, the separability of implies that we can select countably many compact balls centered at corresponding points such that (3.14).

Then, a differential form is invariant if at corresponding points, it returns the same number for corresponding tangent vectors.

Gauss was able to show that a necessary condition for this to happen is that the curvatures at corresponding points are the same.

For these, mean and fluctuating pressures are not directly related to the characteristics of the oncoming flow and, to an even lesser extent are fully correlated to those acting at corresponding points on the windward surfaces.

The monthly main field polynomial models, the main field polynomial models generated for every month using only the night and quiet time satellite data recorded in this month, were used to compute monthly values at corresponding points for years 2001 2005.  .

The ratio Y i (T /Y ref(T) is computed at the corresponding points in the Preetham sky models with the same sun position using Eq. (6).

Repeat the process with the other board lengths at the corresponding points.

As a result, the CT values at the 100 corresponding points in the FBCT and CBCT images (FBCT# and CBCT#) were obtained.

Check that your new seams will be symmetrical by measuring from the inseam to the newly-marked edge at a few corresponding points down each leg.

Radial strain (RS) values from VevoStrain were derived from taking corresponding points at the epicardium and endocardium and averaging them across the radial distance between the two points.