The temperature differential computed across the slab panel as obtained has been approximately 15°C.
To find its differential, compute v ¯ ⋅ v ¯ ′ ( W + J ) − v ¯ ⋅ v ¯ ′ ( W ) and keep the terms at the first order in J. Before computing the whole sum, observe that ( W + J ) k ⋅ C k, q ⋅ ( W + J ) ′ q − W k ⋅ C k, q ⋅ W ′ q = ∑ m = 0 k − 1 W m ⋅ J ⋅ W k − 1 − m ⋅ C k, q ⋅ W ′ q + ∑ m = 0 q − 1 W k ⋅ C k, q ⋅ W ′ m ⋅ J ′ ⋅ W ′ q − 1 − m + O ( ∥ J ∥ 2 ).
Fig. 1 Public-private pay differentials computed from macro data and comparison with micro-based pay gaps.
Notes: Panels a and b show the evolution of public-private pay differentials (computed from macro data) for a selection of countries.
Towards this direction, we adapt the main idea of the throughput optimal back pressure algorithm [10] which performs routing and link scheduling based on the congestion gradients (queue backlog differentials) computed on every communication link.
In a similar model, Shannon's General Purpose Analog Computer, Bournez et. al. 2007 [Bournez, O., M. L. Campagnolo, D. S. Graça and E. Hainry, Polynomial differential equations compute all real computable functions on computable compact intervals, Journal of Complexity 23 (2007), pp. 317 335] also characterize the functions of Computable Analysis.
Differential analyzer, computing device for solving differential equations.
The ISOLATE performance gain over LDA is not just simply due to a difference in the specific method that ISOLATE uses to compute differential expression: we computed differential expression using the same method as for LDA (ISOLATE-Lu) and see that its performance is still better than LDA in many cases.
For a particular instance of the parameters under consideration, we are able to solve the underlying partial differential equations, compute an output, and give sharp error bounds.
The probabilistic results have shown that the probability Pe of exceeding a tolerable differential settlement computed by the iSS approach is very close to that calculated by the MCS methodology applied on the original deterministic model.
