Sentence examples for containing we from inspiring English sources

The crucial step now is the application of Necessitation in line 6 to this formula — containing, we note, a free occurrence of 'x' — to yield '□∃y y=x)', which in turn yields NE, by the Rule of Generalization.

From the suborbital O containing we can form the suborbital graph G whose vertices are the elements of Q ˆ and edges are the pairs ∈ O , which we will denote by γ → δ and represent them as hyperbolic geodesics in ℋ.

Hence, for any subset of there is the smallest subalgebra of containing This algebra is called the subalgebra of generated by If is the singleton then is the linear span of all powers of If is a normed algebra, the closed algebra generated by a set is the smallest closed subalgebra containing We can see that.

From the suborbital O 3 containing , we can form the suborbital graph G 3 whose vertices are the elements of Q ˆ and the edges are the pairs ( a, b ) ∈ O 3 , which we denote by a → b and represent as hyperbolic geodesics in ℋ.

A recent collection of lectures on space-flight problems (Problems der Weltraumforschung") contains, we note, one by….

(Who could?) Instead, we had a thick bound volume we called the "Nixopedia" that contained, we hoped, everything the vice president had ever said or done over his already long political career.

Since is the projection of onto which contains, we have (24).

In order to make the paper self-contained we recall all necessary results from these theories.

However, even the works that do not deal directly with aesthetics still contain (we might say) an aesthetic dimension.

With the objective to make this manuscript self contained we decided to include the majority of the proofs.

We contained, we deterred, we used trade, aid, proxies.