Based on some properties proved in this study, a dynamic programming algorithm is then designed to obtain some important threshold values, which are used in the optimal control policy for ship refueling decision.
Matrix equation (2) was studied in [15], and based on some conditions, the authors proved that matrix equation (2) has positive definite solutions.
Based on some simplified assumptions, FE modelling proved adequate in accurately predicting the crack propagation rate.
The proofs of the main results are given in Section 8 based on some preliminary statements stated and proved in Section 7. First we introduce some notations.
By defining a continuous operator on a Banach space and taking advantage of the cone theory and some fixed point theorems, the existence of multiple positive solutions for the BVPs is proved based on some properties of Green's functions and under the circumstance that the continuous functions f satisfy certain hypothesis.
Based on what proved to be overgenerous Pentagon estimates of Iraqi strength, he insisted that the war could be undertaken only with half a million troops.
The results of real-time simulation based on DCS proved the effectiveness of the proposed strategy.
Among them, U6-snRNA-1, hsa_SNORD2, hsa_SNORD6, and hsa_SNORD10 were chosen to normalize profiling data based on their proved stability earlier.
In this way, the disease network based on DCEA proved to be more relevant to pathogenesis than that based on DEA.
Because I love you all dearly and equally, I recently spent an entire week on seven different diets, practising a different one each day – some well-known, some less well-known, some based on proven scientific merit, some because a celebrity had tried it and I'm an idiot.
