Sentence examples for by using fractal rules from inspiring English sources

The acyclic pore model can be characterized by using fractal rules which can provide a convenient basis for understanding transport phenomena at pore-scale.

We evaluated the radiographic changes to the operational sites after orthognathic surgery by using fractal analysis.

The final stage converts the distribution of OI into textural energy by using fractal dimension analysis.

A fractal model for gas diffusivity in porous media is derived by using fractal theory and by considering rarefied gas effect in micro-/nano-channels/capillaries.

It will be important to study economic and financial models further by using fractal derivatives.

Surface complexity, assessed by using fractals, was an important factor in species area relationships.

The normalized image is coded by 64 transformations using fractal code.

Using fractal analysis by macroradiographs, it has been described a localized OP in large human OA joints [ 47, 48].

Since the self-similarity of coal comminution using fractal PSD analysis was demonstrated by Zeng et al. (1999), self-similar fractal is widely used in comminution engineering.

Open image in new window Fig. 6 Using fractal pattern to match the fracture network calibrated by MSE.

The analysis of leaf shape using fractal geometry is described in greater detail in an article by Hartvigsen (2000).