Sentence examples for otherwise example from inspiring English sources

So we compute the conflict-free sets of F t and then build a coloring for each conflict-free set S as follows: C (x ) = in if x ∈ S C (x ) = out if S ↣ R x ; C (x ) = att if x ↣ R S and S ↣̸ R x C (x ) = ud otherwise Example 9 Consider the leaf node t 5 with bag { a, b } in Fig. 4 (b).

This offers a much wider choice than would be the case otherwise, for example, phalanges and metacarpals may be available for transplantation into the hand (we may even come to the time when whole joints or parts of joints may be preserved for transplantation).

Otherwise, for example in the case of amplified fragment length polymorphisms (AFLPs), the nearest marker with a known sequence in the original genetic map was used as a proxy.

Formally: C ij = 1 if trans-factor j interacts with target i 0 otherwise For example, in the case of the interaction maps taken from AURA 2 [ 35], the interaction matrix C represents trans-factor UTR intrans-factor UTRe trans-factors can be einteractionsr miRNAs), where in the case of interaction maps on yeast [ 64], it represents RBP-gene interacanons.

Then the pair ( M 01, ∗ ) is a fuzzy quasi-metric on X where ∗ is any continuous t-norm and M 01 is the fuzzy set on X × X × [ 0, ∞ ) given by M 01 ( x, y, t ) = 1 if t > 0 and d ( x, y ) < t, and M 01 ( x, y, t ) = 0 otherwise. Example 2 [13, 13] (see also [[18], Example 2.9]).

Calibration on non-SVP (NSVP) mirror profiles, such as those of conical and spherical, usually require specific modelling based on the particular mirror shape used [22 24], by approximation model [22, 23, 25], or otherwise, for example, by the use of polarised imaging [26].

In this sense, the vows cannot end up being caricatures; otherwise, for example, community life becomes hell, and chastity becomes a way of life for unfruitful bachelors.

Aggressive investors would also have benefited from this timing model: by investing twice as much money as they would have otherwise, for example, they would have doubled the market's return while incurring no greater risk.

A lot of institutions use it as a place to share a wealth of archival content they wouldn't have a place for otherwise, for example Keith Haring's Journals.

The proposed methodology allows to address the design of complex SCs which are hard to be modelled otherwise, for example by means of standard mathematical programming tools.

It's won many supporters for this approach, and by its efforts to help bring discounted 3-D printers and Chromebooks into U.S. classrooms, or helping to finance AP classes for STEM education subjects in districts that can't afford to do otherwise, for example.