Sentence examples for gauge balls from inspiring English sources

In particular, the gauge balls in H-type group are convex domains (see [4]).

Brandolini et al. [9] applied these methods to the Dirichlet problems for sub-Laplace equations on the gauge balls in the Heisenberg group which is the simplest Carnot group of step two.

Thus, we get the following existence theorem in the whole space G by making use of Theorem 4.2 and the result in [4] that the gauge balls in H-type group satisfy the outer sphere condition.

In the case of the Heisenberg type groups, the gauge balls coincide with the level sets of the fundamental solution (that is a radial function in this class of groups, see [14]), and the balls B G (e, R) invade G as R tends to +∞ since the vector fields on G satisfy the Hörmander rank condition.

Let u0 = u+, set B G (e, m) be the gauge ball of radius m centered at identity e.

Korányi first gave a Green's function for circular data for a certain gauge ball [6] using the Kelvin transform on H n [7], [8].

Finding a Green's function which works for all the continuous functions is still an open problem even in the case of the unit gauge ball.

Rats were dosed intravaginally for 5 days with mouse betacellulin (200 nM; R&D Systems, Minneapolis MN) once daily using a carbomer-934P-based vehicle (pH 7.0) and a 0.5 inch long, 18 gauge ball-tipped gavage needle.

Going by gauge pressures, the balls would need to be inflated with 90-degree air.

Open image in new window Figure 13 Double ball gauge method.

The double ball gauge method is recommended in the ASME B5.54 [77] to detect comprehensive error in machine tools.