Sentence examples for hence back to from inspiring English sources

If we start at Point A and proceed to Point B, we should then continue to Point C and hence back to A. I, on the other hand, am quite happy to turn around at Point B and simply retrace my steps to A. Having seen my stone circle, I wanted to return home as expeditiously as possible.

This example shows that the earliest camels look nothing like modern camels and that we have all the transitional fossils that link the earliest camels with their living descendants and from the camelids back to the oromerycids and hence back to more primitive sister taxa among the artiodactyls.

Conversely for fixed (alpha= alpha_{1},ldots, alpha_{k+1})), we can set beta_{i}=frac{alpha_{i}}{1-alpha_{k+1}},quad i=1,2,ldots,k, alpha_{k+1}neq1, and hence trace back to the case of (k=1).

The first of these questions does not turn on anything specific to computers, and hence collapses back to the issue discussed in Section 3(B) above on enumerative induction.

Algorithms to solve this optimization problem involve iterating over two steps: (i) fixing Θ and minimizing the objective function with respect to X (hence falling back to solve MDS2) and (ii) fitting Θ to the new configuration X subject to the ordinal constraints.

Hence, by scaling back to the original variables and looking at the first zero of u ( z ) we obtain the time to the very first spike T 1.

Hence her quip back to Coulter, which she said has now garnered her a following among many who are having fun looking to her to control the weather.

We are hence back in paradox.

To address reads back to barcodes, and hence individual PCR wells or pools, we developed a novel method based on techniques reported previously [ 16, 17].

"Australia is a toad free continent (or at least it was before the introduction of the cane toads) hence goannas living in Australia did not need to have a toad toxin resistant structure, and hence they have reverted back to the physiologically more efficient structure, which unfortunately also means that they became sensitive to cane toad toxin," said Dr Ujvari.

Hence, the simulations dating back to before 2006 have included these conductivities.