First kind integral equationNegative order pseudo-differential operatorMultigrid methodVariable substitutions are introduced to the single layer potential equations such that the order of pseudo-differential operator is changed from minus one to plus one. Though the condition number remains the same order ...
Distinguishing crude oil imports by their chemical composition, the elasticity of substitution between types is substantially lower than suggested by previous estimates. Our results also suggest that, by neglecting these differences in quality, standard estimates underestimate the production disruptions and ...
It is suggested that, by the above results, the synthesized material is suitable for memory storage devices and antibacterial activity. In the current era, nanotechnology modifies and plays a vital role in almost every field of human life because of its unique and marvelous electrical, ...
Combination often requires you to multiply one of your equations by a constant. In this case, notice what happens if you multiply the second equation by –3. What’s the next step in combination? By arranging the equations vertically, you can simply add them, combining like terms along the...
Comparable rate parameters between the TF and NF forms are only identical when the tuple frequencies are identical (see equation 3). For homogenous multiplicative π [π (a) = π (i1) π (i2)], at least 4 more exchangeability parameters are required for the TF variant to include the ...
In equation (8), n is the number of essential amino acids (EAAs) included in the analyses. Letters a–g are the concentrations of EAAs (mg/g N) in the experiment, and ae–ge are the EAA concentrations in egg proteins (mg/g N). 2.8. Statistical analysis The data were handled by ...
substitution models that represented the estimated effects of substituting SB with an equal amount of time spent in LPA or MVPA, without (model 5) and with (model 6) adjustment for covariates.12 In this model, SB was excluded, whereas, total wear time was kept constant in the equation. For...
The equilibrium equation for the substitution reaction of fac-[Re(Acac)(CO)3(PPh3)] and PPh3 is given by Eq. (1) and derived from Scheme 3, where the ‘eq’ subscripts denote the concentrations once equilibrium has been established and Kest represents the estimated equilibrium constant:Kest=...
diffraction peaks corresponding to CaO, MgO, and ZnO phases were identified, in addition to β-TCP. This is in line with previous reports, which showed that at higher temperatures (above 1000 °C), hydroxyapatite could convert to TCP and calcium oxide (CaO) phases following the equation below...
Equation 3 quantifies the ratio of carbon dioxide emissions for the AM-based manufacturing approach to those of conventional manufacturing. The primary energy demand can be assessed in a similar way by replacing the carbon footprint factors with the (specific) energy requirements, as already demonst...