We note that even if the trajectory-segment [gamma] is not contained in the geodesic
ball of the injectivity radius at [gamma](0) centered at [gamma](0) we can define a smooth variation of geodesics
satisfying the above conditions.
In addition, null geodesic
curvature intuitively says that geodesics
have no curvature other than the curvature of the manifold itself.
Chief Executive Officer Don Tucker, said, We have worked with ElMindA over a number of years and are pleased that their research efforts have led to the BNA system receiving FDA clearance.
By a similar argument used in the case (a), the geodesics
that joins the end points of the interval [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] converges to [theta] in the Hausdorff metric, when r goes to infinity.
Draw the arc ADB which is the geodesic
between A and B on the surface of the sphere.
CAD models mainly consist of planes and quadric surfaces, and functional features generally lie on a few surfaces, an extended Gaussian image and geodesics
approach for local shape representation and extraction is proposed.
2, that is to say, as a global geodesic
or a minimizing geodesic
; however, we need now to deal with a special type of local geodesics
: simple closed geodesics
, which obviously can not be minimizing geodesics
This was especially true of the smaller-scale domes, where geodesics
Keywords: planar maps, scaling limits, random trees, Gromov-Hausdorff distance, Hausdorff dimension, topological type, geodesics
With imposed material limitations, this path is generated by geodesics
We pitched our geodesic
tent on the exposed ridge as quickly as our frozen fingers would permit.
Then one obtains a well-defined surface area enclosed by the path generated by the evolution of the system plus the geodesic