Sentence examples for by using the fractal from inspiring English sources

Attempts were made to characterize the local flow properties by using the fractal dimension.

By using the fractal dimension, a quantificational description can be made, allowing evaluation of the engine condition and fault diagnosis.

Tasdemir (2009) proved that the fragmentation processes of chromite ores can be quantified by using the fractal dimension of the PSDs.

The function u 0 is selected by using the fractal initial conditions given as below: u 0 = μ 1 + ξ α Γ ( 1 + α ) μ 2.

The results clearly showed that the correlation between pupil dilation and multitasking performance was stronger when the pupil data was analyzed by using the fractal dimension method.

In this paper, by using the fractal theory and the method of weight function to make a meaningful attempt, a Hilbert-type integral inequality and its equivalent form on a fractal set are established.

However, it is possible to create a reference-based metric by using the colour fractal dimension (note the grey zones that indicate a slight increase of the fractal dimension due to quality degradation).

We propose a discrete model involving four macroeconomic variables, the gross domestic production, exchange rate, money supply and exports/imports by using the generalized fractal derivative.

The image loads using the fractal space-filling Hilbert curve.

This ultrawide band characteristcs of antenna has been achieved by using the CPW-fed and fractal concept.

By using the bispectrum image and fractal dimension, characteristics that can reflect fault condition can be extracted from the vibration signals.