Sentence examples similar to a foregoing example from inspiring English sources

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As the foregoing example shows, in a second-order language for arithmetic, we can say that the natural numbers are well ordered.

It is worth noting that, for the simple reaction network with only 3 initial molecules studied in the foregoing example, we have associated a CME with 10 states.

The set A ∩ B read "A intersection B" or "the intersection of A and B is defined as the set composed of all elements that belong to both A and B. Thus, the intersection of the two committees in the foregoing example is the set consisting of Blanshard and Hixon.

Firstly, while the two-dimensional intension encodes certain principles about how the reference of a term depends on the features of the actual world, there is no reason for thinking that these principles can always be condensed into a simple, or even finite, reference-fixing description (as in the foregoing example of 'Phosphorus').

In the foregoing example, the information of the better-informed agent is a set containing a single centered world, while that of the other agent is a set containing several different centered worlds (all of which have w as their first member).

In the foregoing example, California would simply add the monthly income of all members of the AU—$75 (granddaughter) plus $0 (first grandniece) plus $0 (second grandniece) for a total of $75—and reduce the monthly assistance payment to the Edwards family AU accordingly.

The foregoing example is representative of Marchia's thought in many ways.

It should be clear from the simple foregoing example how the formalism of adjointness can be used to give syntactic presentations of various logical theories.

Notice that, in the foregoing example, all the conditions of Theorem 2.1 are fulfilled and (x=0) is a unique common fixed point of the mappings f and g (see Fig. 5).

(The foregoing example does not include accrued interest on the loan, which is typically about 5%-75%-7%ually, as discussed below.) Discounts generally range from 10% (on the low side) to 35% (on the high side), with the most common being 20%.

However, in apparent contradiction to the foregoing example is the pattern presented by Solidago canadensis which also occurs as a diploid, tetraploid, and hexaploid in its native North American range, but is known as a diploid in its invasive range [44].

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