We study the affine structure of domain manifolds in depth and prove that the existence of manifold splines is equivalent to the existence of a manifold's affine atlas.
Further experiments were performed using the HFM manifold at the 1.5″ (3.8 cm) depth and temperatures were varied at 20 °C, 30 °C and 40 °C to determine the effects of temperature on the mass transfer.
Several notions of independent interest are introduced in the course of our analysis, including the notion of depth of a manifold and a scaled version of the flat-distance, the D-flat distance as we call it, which involves the diameter of the manifold.
Tapering the fiber and launching light at an angle has the potential of increasing the penetration depth of evanescent wave manifolds.
Xue et al. proposed an effective visual object saliency detection model via RGB and depth cues with mutually guided manifold ranking and obtained the final result by fusing RGB and depth saliency maps [21].
The first is that the immediate objects of sight are two-dimensional manifolds of light and color, lacking perceptible extension in depth.
The sheen is near Shell's Glider Field, a group of four subsea wells whose production flows through a subsea manifold to the Brutus platform, which sits in water with a depth of 2,900 feet (884 m).
I understand the technical complexity and risk in an incident of this magnitude in this depth of water, but, for heaven's sake, the kill manifold has been set for something like 2 weeks.
And all suggest a similar pattern of warming: amounting to about 0.9°C over land in the past half century.In this section The heat is on The all-telling eye Not swatted yet ReprintsTo most scientists, that is consistent with the manifold other indicators of warming rising sea-levels, melting glaciers, warmer ocean depths and so forth and convincing.
Mr. Moll, whose films include "With a Friend Like Harry...," somewhat heroically manages to keep the story's manifold twists from becoming knotted, but he's less adept at setting up the characters and their relationships and especially the depth and significance of their faith.
