Sentence examples for materials by fractional from inspiring English sources

Bagley and Calico [11] modelled the mechanical properties of damping materials by fractional order time derivatives.

The polymers were fractionated by fractional precipitation.

Comparisons to methylation data from other methods indicate that the data we use offer a superior resolution for examining the detailed variation of DNA methylation in CGIs (Fig. S1). Figure 1A shows the mean DNA methylation levels (as measured by fractional DNA methylation, Materials and Methods) from the whole genome and from CGIs.

During the past few decades, many important phenomena in electromagnetics, acoustics, viscoelasticity, and material science could be well described by fractional differential equations [11 13].

The beam is modelled by fractional Kelvin-Voight viscoelastic material.

At 55 hpf, SBMO1 morphants displayed bradycardia and reduced cardiac output (as determined by fractional shortening; data not shown) (supplementary material Movies 1, 2).

Interestingly, a previous study on camphor reported by Kareem [33] showed that the decomposition end-product sublimated from solid to volatile material at ordinary room temperature, and ambient air was calculated by fractional life method.

As is well known, many materials and processes with memory or hereditary properties and nonclassical phenomena in engineering can be described by fractional calculus [10, 11].

It has been shown that materials with memory and hereditary effects and dynamical processes including gas diffusion and heat conduction can be more adequately modeled by fractional differential equations (FDEs) than by integer-order differential equations [3, 4].

They often occur together and are separated by fractional distillation.

He spoke of the various things that would be helped by fractional coins.