Sentence examples for some useful facts from inspiring English sources

3, some useful facts for the homotopy continuation method are collected.

First, we collect some useful facts of the fractional order Sobolev spaces.

Some useful facts about the perturbation determinant that can be found in e.g. [7, 8] are as follows.

In order to prove our main results, some useful facts and tools are listed as lemmas in the next section.

Results from Encyclopedia Britannica will now feature a thumbnail and some useful facts about the topic (as well as links to Wikipedia, Britannica, Freebase and – for those who don't like to read – Qwiki).

(And here are some useful facts about plastics, chemicals, leaching and food).

We now recall and establish for future reference some basic useful facts.

Some simple but useful facts are that (I) M ( ⋅, ⋅, t ) is a continuous function on X × X for t ∈ ( 0, ∞ ) and   (II) M ( x, y, ⋅ ) is nondecreasing for all x, y ∈ X.  .

Section 2 contains some necessary concepts and useful facts.

The information comes at us steadily — there are useful facts on almost every page — but the narrative is spartanly furnished.

The startup's core product can be used by anyone to quickly aggregate useful facts, while Cengage's content adds a depth of information that is nearly impossible to replicate and really isn't available anywhere else.