In analytical terms, this reciprocal conditioning is represented by a specific variable introduced in the utility function of the alternatives of the model at the upper level, which considers the choices also made by the users at the lower level.
The solution for the set-point-change process is given in analytical terms when the admissible controls are continuous functions of time.
The coefficients are then estimated via linear least-squares regression, and the resultant analytical terms subtracted to yield the non-seasonal residual ∆P t).
A different mode of thinking about civil society, which found its most coherent expression in 19th-century German thought, separated civil society from state in both ethical and analytical terms and regarded the two as separable and perhaps as opposites.
For this reason, we decided to pursue a hybrid approach: by applying linear least squares curve fitting techniques to an abundance of simulation traces, we obtain an analytical term for the probability of reception.
In analytical terms what we estimate is the following model: begin{aligned}&P({{ Bankruptcy}_{i}/{ FinancialDistress}})&quad =f({{ Tangibility}_i,{ Control}1_i,ldots,{ ControlK}_i,u_i}) end{aligned}Notice that we do not face a sample selection bias by only keeping the financially distressed firms.
We compute the spectrum, and express homomorphisms in K-theory induced by the symbol maps which arise by the subquotients of the composition series in analytical terms.
The self-organization process we consider at the single-unit level can be described in analytical terms as an unsupervised optimization process, if one neglects the collateral interactions that are presumed to align the grids (Si et al., 2012).
Yet while baseball has long been regarded as the most developed sport in analytical terms, James said there is still significant work remaining — especially when trying to project the performance of untested players at the major-league level.
Yingling's open indictment of a military leadership composed of yes-men was the first by an active-duty officer during the Iraq war, and it expressed in analytical terms a simmering rage among lower-ranking soldiers.
