Sentence examples for for these sets from inspiring English sources

Note that Lemma 2.4 is tailored to provide conditions for these sets to be nonempty.

Table 3 details some test results of note for these sets.

Figure 9 shows more complete results for these sets where the number of states was varied between 2 and 12.

We introduce some key definitions for these sets, establish their main properties and develop methods for their computation.

Prices for these sets haven't been released yet, but it's probably safe to assume that they will be on the lower scale of things.

For these sets one may either use the already mentioned result by Hall [82, Th. 2], or simpler ad hoc arguments.

Methods for generating these sets are outlined for the trimming of both a single and a dual pair of modes.

The phase volume ratio was maintained at 1 for these set of experiments.

For these set of questions, one exclusive reply consisting of Always, Majority, Minority, or Never could be given.

We know that companies with big deals in the offing will have been encouraged to "save them up" for these set piece occasions.

The experimental setup for these set of evaluations was such as to replicate the original work in [14] to as close a degree as possible.