Sentence examples for are simple examples from inspiring English sources

There are simple examples to show that (C4) is not satisfied.

As we mentioned in the introduction, there are simple examples of maps that are weakly contractive and not contractive.

Theorem 2.1 and Theorem 2.2 are simple examples of existence results which follow immediately from Lemma 1.1, Propositions 2.1 and 2.2.

A normed linear space X and each of its convex subset are simple examples of convex metric spaces with W given by W ( x, y, λ ) = λ x + ( 1 − λ ) y for all x, y ∈ X and 0 ≤ λ ≤ 1.

There are simple examples which illustrate that continuity of (f=f(x)) does not necessarily imply that u has bounded second derivatives: for (p in (0,1)) and (x in mathbb {R}^2) such that (|x|<1), the function begin{aligned} u(x)=x_1x_2 -log |x|)^p end{aligned}has a continuous Laplacian but is not in (C^{1,1}) [15].

Penrose tilings are simple examples of aperiodic tilings of the plane.

This is simple example, where the names of all active ligands begin with CHEMBL (-an; Note that the names of inactives cannot begin with CHEMBL then).

Sometimes the tools are simple – for example, Galapagos finches use cactus spines to fish for insects in hollows.

Seawater formulas are simpler; for example, a 2 percent sodium chloride solution will satisfactorily maintain whales and dolphins.

Here are two simple examples of a direct interpretation: 'R' designates the property of being rational.

The following are some simple examples of G-metric spaces.