Sentence examples for further derived for from inspiring English sources
A pair of coupled integral equations are further derived for the parabolic stamp problem which are easily solved using collocation methods.
Furthermore, considering the actual sophisticated forces of the conveyor belt, a calculation formula was further derived for relations among lateral pressure of the pipe conveyor belt, material diameter and filling rate.
In order to simplify the performance analysis from accurate expressions, the simplified average SE and PER are further derived for weak correlation, which have simpler form than the accurate ones.
We further derived fragility curves for six case study buildings of regular 4-, 5-, 6-, 8- and irregular 6-, and gravity designed 6-story buildings.
We further derived heat flow values for two well locations and used these data to calculate the temperature at depth as addition to the well logs.
Based on these equations, explicit formulas are further derived to determine the conditions for the transition and near-coupling between local resonance and Bragg scattering, each being a unique band-gap opening mechanism.
By exploiting the characteristics of shift-invariance, steerability, and scalability, we further derived the theoretical synchronization mechanisms for translation, rotation, and scaling.
In recent years, Deng's group have further derived some high order difference approximations for the left and right Riemann-Liouville tempered fractional derivatives in [17], and their results have been an interest in the numerical simulation of the tempered fractional Black-Scholes equation for European double barrier option [18].
In the following, we further derive bounds for the nonreal and real eigenvalues of the shift-splitting preconditioned matrix (mathcal {P}_{SS}^{-1}mathcal{A}).
end{aligned}Due to the fact that the support of measure ({hat{nu }}((x^0,t^0),cdot )) is contained in (overline{E}times {0}), we can further derive (21) for ({hat{nu }}) and ({hat{E_0}}).
To further derive a bound for the nonreal eigenvalues of the shift-splitting preconditioned matrix (mathcal{P}_{SS}^{-1}mathcal {A}), we use the following lemma.
