After taking first order condition of c t with respect to x t, we will obtain: frac{d{c}_t}{d{x}_t}=left[{e}^{x_t-sigma }-{e}^{-left({x}_t-sigma right)}right] (9).
So, for instance, a function which applies to individuals and takes first-order propositions as values is first-order.
Relaxing this assumption requires (1) taking second order derivatives of the E(g|Y) function, (2) calculation of prediction error variances of Σ b j g ^ j, and more research is needed to perform these calculations computationally efficiently.
And he took second-order quantification to be quantification over functions.
In order to minimize Eq. (10), we take first-order Taylor series expansion on data fidelity term of Eq. (10) and it becomes: E_{f}({mathbf{u}})=int_{Omega} {lambda_{3}|{mathbf{u}}|}+lambda_{2}|rho({mathbf{u}},q |dA (15).
To estimate instantaneous velocity, we took first-order differences of the position estimate and multiplied by the video frame rate.
The transformation series by taking third-order differences is shown in Figure 2. The plots of ACF and PACF described the temporal dependence structure in HFRS incidence.
This engine takes second- and third-order variable interactions into account.
Assuming S is nonsingular, and taking the first order derivative, we have A−1= S.
I took my first order in 2003 and everyone who used the Knork became an instant convert.
The mood on the trading floor was sunnier, however, as a broker took the first order, nudging the stock to 29 euros from 28.50 euros.
