"the second circumstance" is a correct and usable phrase in written English.
It refers to a specific situation or condition that occurs second in a series or sequence of events or circumstances. Example: The first circumstance was that he lost his job, and the second circumstance was that his savings were running low.
The second circumstance involves mineral deposits containing sulfide minerals, especially copper sulfides, that are subjected to weathering under desert conditions.
In fact, when we set positive constants β and γ large enough, the second circumstance and the conditions in Theorem 1 hold naturally.
The second circumstance is related to learners who were in the condition in which there was at least one dummy card found in the state.
A direct way that we could use the (-|lambda(L+L^{H})|_{mathrm{max}}) is to replace the (lambda _{mathrm{min}}(L+L^{H})), and this is consistent with the Corollary 3 and the second circumstance in Remark 1.
The process therefore tends towards the second circumstance.
However, if the second circumstance happens, we will consider the union of both intervals as the average-risk category.
Fine takes it that these two conceptions correspond to two genuine categories of objects, and calls the first truths and the second circumstances.
The third circumstance in which secondary enrichment is important involves BIFs and sedimentary manganese deposits.
The first circumstance arises when gold-bearing rocks—even rocks containing only traces of gold are subjected to lateritic weathering.
The first circumstance is related to learners who were in a condition where there was no dummy card contained in the state.
So, in this paper we just consider the first circumstance, letting (gamma_{mathrm{best}}=-s), (beta_{mathrm{best}}=-s+alpha), and (sleq0).
