Sentence examples for outer parallel from inspiring English sources

In this paper, we obtain expressions of the mean curvature integrals of two outer parallel bodies, where the outer parallel bodies are in the distance ρ of a projection body in different space ( R n and L r [ O ] ).

As corollaries, we establish mean values of the mean curvature integrals and Minkowski quermassintegrals of two outer parallel bodies, respectively.

Such a concentration should hopefully lead to fewer outer parallel iteration steps needed for the convergence of the entire algorithm.

The outer parallel body K ρ in the distance ρ of a convex figure K is the union of all solid spheres of radius ρ the centers of which are points of K. Then we have the following Steiner formula for the outer parallel body K ρ ( ρ ≥ 0 ): V ( K ρ ) = ∑ i = 0 n ( n i ) W i ( n ) ( K ) ρ i. (2.13).

In this paper, we investigate the i th mean curvature integral M i ( n ) of ∂ ( K r ′ ) ρ ( n ) and ∂ ( K r ′ ) ρ ( r ), naturally, where ( K r ′ ) ρ ( n ) and ( K r ′ ) ρ ( r ) are the outer parallel bodies of K r ′ in R n and L r [ O ], respectively.

When the target particles move into the trapping region (the region between two outer parallel metallic electrodes in one electrostatic trap, marked by the blue box in the inset of Fig. 3), an external static voltage is supplied to the electrode stripes, which activates the trap and keeps the particles captured.

The thickness t of the cortex at a point is then given by the length of the field line through that point, where field lines are defined as curves extending from the inner surface to the outer, everywhere parallel to ∇ φ.

In concave regions of the growing pavement cells there also is a correlation between the location of AMBs and the presence of dense pads of cellulose microfibrils at the interface of the anticlinal and outer periclinal (parallel to the leaf surface) cell walls [ 17].

Brunelleschi's dome consists of two layers, an inner dome spanning the diameter and a parallel outer shell to protect it from the weather and give it a more pleasing external form.

When the inner and outer orbits are parallel to each other, no accretion disk forms.

The nuclear envelope, otherwise known as nuclear membrane, consists of two cellular membranes, an inner and an outer membrane, arranged parallel to one another and separated by 10 to 50 nanometres (nm).