Sentence examples for hence, for cases from inspiring English sources

Hence, for Cases 8 and 9, increments in oil recovery and oil produced were negligible (0.19% and 0.7%, respectively).

Hence, for Case 1, the misjudgment rate for the expert operators was smaller than the case of h ¯ > h e because the obstacle did not frequently move out of the camera frame.

Hence, for design cases, the most cost-effective elements of redundancy can be determined without pre-specifying any structural options in the final configuration (e.g. equipment sizes, types, and number of units).

Symbolic execution unrolls loops, hence, for most cases, neither loop bound annotations nor complementary loop bound analyses are necessary (see Section 5 for examples) except when the bound is dependent on, for example, I/O or the unrolling exceeds the specified analysis depth.

It is reported in [9] that codes with different code rates have similar sensitivity to the relay position for a given transmit power distribution of the source and the relay; hence, for both cases of low- and high-rate codes, the optimal position where the proposed code achieves best performance is d=0.4.

Hence, as for Case 2, ω'(S') > 0 and, thus, S is compatible with Θ. Case 5: j ≥ i ≥ 5. Define the split S' = { A, Y'\ A}.

If, then and hence, for this case, the inequality holds.

Hence, for the case of detection in vertical polarised clutter, choose for simplicity n=−1.

Hence, for this case, the standard range-Doppler algorithm (RDA) obtains focused ISAR images.

Hence, for the case of arbitrary parameters K, S, and SNR, we provide only numerical examples to give an insight of the general behavior.

Hence,