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 [k.

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 [7] and another relationship between the Ricci

curvature and the squared mean

curvature [9].

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 [3] 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 of [~.

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.