The λ ( k 1, n 1 ), …, ( k r, n r ) 's are explicit functions of the parameters γ.
The resulting estimators are explicit functions of sample observations and are shown to be considerably more efficient than the commonly used least squares estimators.
The resulting feedback laws are explicit functions of the landmark measurements and velocity readings, exploiting the sensor information directly in the observer.
It was described by the equations [2]: v=Rleft w,iright times i (7) frac{dw}{dt}=fleft w,iright) (8 where w is defined as a set of state variables, R and f are explicit functions of time.
The main advantage of our methodology compared to other published methods estimating emissions from selectively logged concessions [24, 25] lies in the fact that both post-logging carbon sequestration and necromass respiration are explicit functions of time.
The vertical Te profiles at fixed geomagnetic latitudes are approximated by second order polynomials and then the three constants of these polynomials are approximated by another set of analytical expressions, being explicit functions of altitude, geomagnetic latitude and local time.
The elastic and shear moduli of the material, in the present problem, are modeled as two stochastic processes that are explicit functions of the same process possessing a relatively low correlation length.
Since the gain factors are explicit functions of the channel estimates, we can furthermore assess the accuracy with which the approximations in Sections 6.3 and 6.4 judge the performance of the protocols: averaging the squared estimation error over the perturbations (estimation noise and phase noise) delivers reference MSE of the anticipated equivalent two-hop channels in closed-form.
Thus, ∂ L / ∂ θ ^ and ∂L/ ∂p are explicit functions of θ ^ and p. In conclusion, many of the aforementioned difficulties can be reduced.
This procedure is illustrated with the help of an ideal gas liquid system in which the algebraic variables can be expressed as explicit functions of differential variables.
