Sentence examples for instance the diffusion from inspiring English sources

Larger molecules have slower diffusivities; for instance, the diffusion constant for the protein bovine serum albumin (69 kDa) in an aqueous solution is approximately 1 × 10−11 m2/s [49], while those for small ions and for ethanol in water are around 10−9 m2/s [52].

Deng [15] indicated that, using the nonlocal condition u(0) + h u) = u 0 to describe for instance, the diffusion phenomenon of a small amount of gas in a transparent tube can give better result than using the usual local Cauchy problem u(0) = u 0. Let us observe also that since Deng's papers, the function h is considered.

Deng [15] indicated that using the nonlocal condition u ( 0 ) + h ( u ) = u 0 to describe, for instance, the diffusion phenomenon of a small amount of gas in a transparent tube can give a better result than using the usual local Cauchy problem u ( 0 ) = u 0. Let us observe also that since Deng's papers, the function h is considered h ( u ) = ∑ k = 1 p c k u ( t k ), (1.3).

Deng [17] indicated that, using the nonlocal condition u ( 0 ) + g ( u ) = x 0 to describe for instance, the diffusion phenomenon of a small amount of gas in a transparent tube can give better result than using the usual local Cauchy problem u ( 0 ) = x 0. For example, g ( u ) can be given by g ( u ) = ∑ i = 1 n c i u ( τ i ), (1.3).

For instance, the diffusion coefficient, which incorporates speed, step size, and turning frequency, could be dependent on energy reserves, food intake, or the presence of predators [4], [9].

For instance, the diffusion mechanism produces localized patterns around a DNA binding site.

For instance, the convection-diffusion and Burgers' equations that represent the transport phenomena, and the highly nonlinear Navier-Stokes' (N-S) equations of motion that describe the motion of fluid flow and represent the conservation of mass, momentum and energy.

Such criteria should rather emphasize the diverse, indirect yet valuable influences that SPIs can have on broader policy discourses including, for instance, agenda-setting and the diffusion of programmatic policy ideas (such as, for example, Emissions Trading Schemes).

An 1881 law, for instance, prohibits "the publication, the diffusion or the reproduction, by whatever means, of false news," among other things.

For instance, those nanostructures decrease the diffusion length of lithium ion in the insertion/extraction reaction and increase surface area, which results in the higher capacities at high charge/discharge rates due to shorter diffusion pathways for ionic transportation and electronic conduction.

On first instance, one would expect the diffusion rate to play a crucial role in the overall evolution of the systems.