Sentence examples for ordered couples of from inspiring English sources

By the mid- to late-1800s, William Hamilton had gone on to introduce ordered couples of reals as the first step in supplying a logical basis for the complex numbers and Karl Weierstrass, Richard Dedekind and Georg Cantor had all developed methods for founding the irrationals in terms of the rationals.

Finally, we establish the small deviation theorems for the frequencies of occurrence of states and ordered couple of states for random fields on a homogeneous tree.

In this article, we establish a class of small deviation theorems for functionals of random fields and the strong law of large numbers for the ordered couple of states for arbitrary random fields on homogenous trees.

The high order coupling of AMR and WENO-RK is accomplished by high order prolongation in both space (WENO interpolation) and time (Hermite interpolation) from coarse to fine grid solutions, and at ghost points.

He ordered a couple of drinks, which he tossed off quidkly.

The New Yorker, June 6 , 1942P. 9 A woman went into her favorite Madison Avenue shop and ordered a couple of hats.

Inside, Gold sat down and ordered a couple of bowlfuls large round noodles in beef broth, noodles with brown sauce.

Not long after, he pulled over to a roadside stand and ordered a couple of local Carib beers.

Inside, Gold sat down and ordered a couple of bowlfuls — large round noodles in beef broth, noodles with brown sauce.

Some miscreant, doctored the back of it, endorsed it "Anyone U Wish, then called a grocer & ordered a couple of dollars worth of groceries.

Fragile Comice pears ($1.39 a pound), perhaps the trickiest item that this reporter ordered a couple of weeks ago, were ripe, buttery and unblemished.