Sentence examples for kinematic formulas from inspiring English sources

Kinematic formulas in integral geometry are important and useful.

Finally, he put the kinematic formulas listed above into a uniform shape.

It is well known that kinematic formulas are very important and classical in integral geometry.

Now we state the aim of kinematic formulas in general homogeneous spaces.

See [5, 9 13] for more kinematic formulas and their applications.

Most existed kinematic formulas are intrinsic, and only a few of them are extrinsic, for example, C-S Chen's formula.

These formulas complement the fundamental kinematic formula, which only deals with hypersurfaces.

This well-known kinematic formula in integral geometry is due to Chern [1, 2].

Meanwhile, the mean curvature integral plays an important role in Chern fundamental kinematic formula.

He proved the fundamental kinematic formula in n-dimensional Euclidean space (mathbb{R}^{n}) in [2].

In this paper, we will discuss the second problem and obtain an extrinsic kinematic formula.