The phrase "analysis of this example" is correct and usable in written English.
It can be used when discussing or examining a specific case or instance in detail to draw conclusions or insights.
Example: "In the analysis of this example, we can see the key factors that contributed to the outcome."
Alternatives: "examination of this case" or "evaluation of this instance."
In our analysis of this example, we show how design decisions accumulate and become invalid because of new requirements.
To demonstrate the proposed method with a time frequency analysis, a numerical example of a synthesized signal with five segments, each with its owns different frequency componentsincluding a relatively weaker component, is constructed; numerical results from the analysis of this example signal indicate that the approach could yield a sharper image with a good computing efficiency.
This can be avoided by instead using the smooth version (8)–(9) but then the analysis of this example becomes much more involved.
Thus, the analysis of this example may be a further indication that the choice τ = 0.5 is reasonable.
Our results allow a deeper analysis of this example, and we find that there are a few cases of global instability despite local stability.
By the analysis of the example this model can reveal chaotic stochastic behaviour.
The conclusion drawn from the analysis of this simple example is important to construction of Model 1. Suppose a 40S ribosomal subunit scans downstream of uORF1, and we are concerned with the probability of this 40S subunit reaching a certain distance without binding any factor.
This problem is addressed in the analysis of the example in the Results section.
The debate over contingent identity is concerned with the assessment and proper analysis of these examples.
In the following section, we consider concrete examples and will give theformulas needed for the analysis of those examples.
The documentary Reel Bad Arabs does an exhaustive analysis of this stereotype, but examples include Eugene Levy in Father of the Bride II (who gets extra points for donning brown-face and talking in gibberish), Spiros Focás in Jewel of the Nile, Richard Romanus in Protocol.
