At the lower temperature, however, there is a need for such a process acting in parallel with the time dependent network in order to predict adequately the initial shapes of the stress-strain curves.
Numerical examples are used to determine how the fractional order affects the time dependent properties of the foundation and ground settlement, and to simulate the case history of a large standpipe constructed over Tertiary sediments.
In order to sketch the time dependent evolution of donations after the disaster shown in Fig. 1, we adopt a very simple epidemic model [11], [12] which was also applied to the adoption of new technologies [13] and now proves to be sufficient for describing the observed dynamics in donations.
Then the time-dependent conditional Order-α quantile efficiency measure can be defined as: {lambda}_{t,alpha}left left.x,yright|zright)= sup left{left.lambda right|{S}_{left.Yright|X,Z}^tleft left.lambda yright|x,zright)>1-alpha right}, (7 where ( {S}_{left.Yright|X,Z}^tleft left.yright|x,zright)=mathrm{Prob}left left.Yge yright|Xle x,Z=z,T=tright) ).
A gene-specific and time-dependent order of events is believed to link chromatin structure modifications and transcription activation.
Having neglected thlA, bdhA and bdhB from the model for studying the time-dependent dynamics in order to minimize the number of parameters to be estimated for the wild-type model, we introduce them to the steady-state studies because it is possible that overexpression or underexpression of these genes will have an effect upon the fermentation product yield.
We mathematical model is developed to optimize the integrated total cost for the single vendor and the single buyer where the lead time dependent on ordering cost is presented in section "Mathematical moder".
Gene-specific and time-dependent orders of events are believed to link chromatin structure modifications and transcription activation.
Treating the para/ferro-electric transition as a point of instability of the time-dependent Ginzburg Landau equation, the order of the transition is shown to depend sensitively on the relative thickness of the film and substrate.
In this work, we studied the general n-state problem with all dipolar and onsite interactions included so that the objective is to optimize the control parameters of the time-dependent physical interaction in order to minimize the probability of leaking out of the qubit subspace and achieve the desired one-qubit gates successfully.
During the time integration for the time-dependent PDEs, a second-order operator splitting technique, the Strang splitting, is applied in each timestep.
