Through making use of the reciprocal statistical fluctuation and the confirmed experimental data of the mass and charge of Bose hadrons,to improve the research of the mass effect of the high order integral calculus connection of hadrons multiple number distribution.

The advanced integral concept its advanced derivative,and its generalization and application areintroduces,resulting in the theorem.

The paper introduces the advanced integral,following the advanced derivative,and its generaliza- tion and application,and at last arrives at the theorem.

Most of studies have used a fixed delay time τ d to calculate correlation dimension when the embedding dimension is increased.

Most of studies have used a fixed delay time τ d and increasing the embedding dimensionm to calculate correlation dimension.

First, we utilize the statistics constructed from correlation dimension to estimate parameters in the phase space reconstruction.

A new QRS detection method based on correlation integral;

Prediction of building subsidence using correlation integral method

State space reconstruction is the basis of nonlinear analysis and the C-C method derived from the correlation integral is an efficient way to estimate the two parameters for state space reconstruction,the delay time τ_d and delay time window τ_w.