Sentence examples for the dimension increase from inspiring English sources

That may be attributed to the amount of the TiO2 and MAPbI3 penetrated into the porous silicon substrates to fill in the porous increases due to the dimension increase of the porous when etching time increases.

With the dimension increase of Au NPs, the corresponding absorption peaks shift slightly towards the longer wavelength, which might be attributed to the dielectric constant that becomes size-dependent when particle sizes are much smaller than the wavelength of the exciting radiation [40, 41].

In terms of the RMS surface roughness, it was constantly increased up to 9 nm with the value of 22.8 nm due to the dominance of the dimensional increase, but after then, it began to be decreased likely due to the dominance of the density decrease over the dimension increase.

When the dimension increases, distribution of samples becomes sparse due to expanded design space.

However, the integral is increasingly more difficult as the dimension increases.

In controls without PH, xP=2.2 while the dimension increased to 3.0, with the systemic dimension constant at xS=3.1.

Accordingly, the dimension increases from 61 nm for the control sample to 89, 118, and 140 nm in the case of the modulator N, S, and SN containing samples, respectively.

Note that when the dimension increases, the nonzero elements of (HH^{T}) are the same.

The traces above can be computed, as the dimension increases, using combinatorial tools.

The idea to show this is to compute, as the dimension increases, the moments of the matrix H, that is the trace at different exponent.

In principle, the methods described here work in any dimension; in practice the numerical challenges, particularly evaluating the integral in (2) and the time needed to work limit us as the dimension increases.