The model of calculating the particle's surface fractal di- mension was found,also the relationship and size of particle's projected outline and shape indexwr F were studied.

The different change trends of shape index,fractal dimension and fragmentation index were revealed under the fast economy development and urbanization.

Based on the growth theory of Von Bertalanffy, this paper built the single tree growth model for Cryptomeria fortunei stands by using simple competition index, By means of general rule that density affects stem shape, analysed the relationship between simple competition index and shape index,and established shape index model, so as to provide a new way for volume measurement of standing trees.

Unified expression for each of the performance factors of the several common shape functional ultrasonic transformer;

Explicit form and efficient computation of RKPM shape functions in terms of moments;

In order to study the progressivity of GIBR(gradual increasing burning rate) layered propellant with square flake shape,the physical model about the combustion process was put forward,and the shape function was calculated according to the physical model and the parallel layer burning law.

Improved load shape coefficient method in low voltage line loss calculation

25mm)and shape coefficient on the settling velocity were discussed,finally three correlative mathematical models were set up,which established the theoretical foundation for studying WMFS's fluidization and technological parameters.

This paper put forward a new method, in which digital elevation model (DEM) was used to differentiate sub-basins and to extract average slope and maximum length of flow concentration which makes a positive contribution to calculate shape coefficient.

Quadratic mixed functional uniform B splines with shape parameters;

Research on shape parameter of generalized nonlinear strength criterion;

A class of trigonometric Bézier curves with two exponential shape parameters;

Atrium shape factor and plume equations;

An equipment used to determine the shape factor of catalyst was established in this paper.

By choosing the structure of spread model and the mathematical analysis of the shape factor of rollpass, a designing idea to obtain geometric shape according to strain factor has been built.