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We use a probabilistic approach based on a differentiation formula for the gamma process.
To achieve this, we combine a formula obtained by Zhang and Williams [11] to compute Stieltjes constants (see also Coffey [9]) and a probabilistic perspective based on a differentiation formula for expectations of functions of the gamma process (see formula (20) in Section 3).
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The solver uses Adams method for nonstiff problems, and a method based on backward differentiation formulas for stiff problems.
In order to meet the QoS requirements of multimedia and real-time services, we formulate an optimization problem based on a service differentiation principle.
This analysis is based on a detailed differentiation of the phenomenon (inside or outside the theory), the status of the theory, research strategy, and methods.
The proposed rate adaptation is based on a loss differentiation mechanism which identifies the real cause of channel variations and takes an appropriate action thereafter.
In the present paper these issues are discussed based on a clear differentiation between monetary optimization and the societal risk acceptance criterion, which enters the decision as a boundary condition.
The periodic steady state following a transient condition is obtained through a Newton method based on a Numerical Differentiation (ND) process, Poincaré map and extrapolation to the limit cycle; this method is applied before and after the simulated transient.
Finis 8 (1999) 659], we show that this time discretization, based on a backward differentiation formula and the construction of characteristic paths in a grid-relative velocity field, leads to second-order time-accuracy.
In both cases, the adaptation is based on a secreted differentiation signal X that is either produced by the SC pool (i) or by the OC (ii) and is degraded linearly everywhere in the SAM.
We studied genome-wide gene expression profiling of human MSC based on an adipogenic differentiation experiment with five different time points (day 0, 1, 3, 7 and 17), which was designed and performed in reference to human fat tissue.
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