Sentence examples for kinematic formulae from inspiring English sources

Via the known kinematic formulae of Poincaré and Blaschke in integral geometry, we obtain some Bonnesen-style symmetric mixed inequalities.

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

Kinematic formulas in integral geometry are important and useful.

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

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

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.

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.

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.