Different normal sections correspond to different curvatures
at the evaluated point, and the maximum and minimum values of these curvatures
are called the principal curvatures
a - blade width, m; ds - shaft diameter, m; c - impeller off-bottomed clearance, m; d - impeller diameter, m; b - blade height , m; W - baffle length, m; D - tank diameter, m; H - liquid level, m; N - impeller rotational speed, 1/s; P - power, W, [omega] - direction of impeller rotation; Np power number, dimensionless; R - radial coordinate, m; R* - dimensionless radial coordinate, R* = R/D; Re Reynolds number, dimensionless; Rc* - radius of the baffle curvature
, dimensionless; [V.
The important first step is to find pathways (or space highways) with constant curvatures
In this way, he established a relationship between sectional curvature
function and the shape operator for submanifolds in real space forms  and another relationship between the Ricci curvature
and the squared mean curvature
Each video frame acquired is segmented, thus, extracting the contour curvature
of the region of interest (upper extremity).
Character of curvatures
of bony and cartilaginous sections of nasal septum among operated 194 patients is demonstrated in Table 3.
Our cell culture experiments imply that this class of substrates, micro glass ball embedded gels, can be useful tools to study cell mechanobiological responses to substrate curvatures
, related cell and tissue engineering researches, and biomedical applications, such as cancer detection and treatment, and the control of stem cell differentiations, for example.
Conversely, if a is a null Cartan curve in E4 parameterized by pseudo-arc s, with curvatures
k4 (s) = 1, [k.
The mean and standard deviation were calculated for the corneal curvatures
and the refractive cylinder before and after the operation.
In Section 3E of  the Gaussian curvature
is defined as
If the curvature
diagram degenerates to exactly one point then the surface has two constant principal curvatures
which is possible only for a piece of a plane, a sphere or a circular cylinder.
r] and r are respectively the scalar curvatures
5), discusses three advantages of using mean cuvature maps: First, it characterizes the local surfaces more completely by averaging curvatures
along two principal axes at a given point on the cornea.
Covariant derivatives and curvatures
with respect to (M,g) will be written in the usual manner, while those with respect to the ambient manifold ([?
Firstly, the definition of principal curvatures
on an object surface is given.