The phrase "a example that illustrates" is not correct.
It should be "an example that illustrates." You can use it when you want to provide a specific instance or case that helps clarify a point or concept.
Example: "To better understand the theory, let me provide an example that illustrates how it works in practice."
Alternatives: "a case that demonstrates" or "an instance that shows".
We give an example that illustrates a case when Theorem 1 of the present paper yields oscillation, while previously known results fail.
The Israeli behaviour vis-a-vis this, and other outposts, is an example that illustrates Israel's intention to consolidate the occupation, rather than end it," Khatib said.
"I personally think Smolin's prediction is unlikely to be borne out, but he deserves our thanks for presenting an example that illustrates how a specific multiverse theory can be vulnerable to disproof," Dr. Martin Rees of Cambridge University wrote in his own book, "Our Cosmic Habitat".
This chapter presents an example that illustrates how a student at the Ontario College of Art and Design, Nima Motamedi, applied the technique seen in the Sketch-a-Move example, to implement an experience model of a wrist computer concept, as well as create a video of its use.
In the case of our sequence tags, these alignments are invariably incorrect, since with our method of gene trapping, disruption of a gene is only detected when the vector is inserted into an intron [ 1]. Figure 2 gives an example that illustrates the difficulty in distinguishing localization to a processed pseudogene from localization to a true gene.
Figure 1a provides an example that illustrates the probe effects in a typical ChIP-chip experiment, in which DNA fragments bound by a transcription factor are collected through chromatin immunoprecipitation (ChIP) and hybridized to tiling arrays.
We next provide an example that illustrates the efficiency of NIRA under a congestion scenario, which is created when using different modulation levels at Symbol Mapper PEs.
BEIRUT, Lebanon — Daraya, a town on the outskirts of Damascus famous for its carpentry and fertile fields, has emerged as an example that illustrates the dichotomy of the Syrian uprising: a revolt that seems too resilient to fail and too vulnerable to endure.
In Section 3 we present the main existence result, we show how this approach can be utilized in the special case of a finite number of differential equations and, finally, we provide an example that illustrates our theory.
