The phrase "above mentioned example" is not correct in standard written English.
The correct form is "aforementioned example."
Example: "In the aforementioned example, we can see how the theory applies in practice."
Alternatives: "previously mentioned example" or "earlier cited example."
In the above mentioned Example 3.2, by a solution we mean an absolutely continuous function which satisfies the corresponding equation almost everywhere.
For the above mentioned example, this is equivalent to requiring max_{{mathbf{x}_{k}},{mathbf{u}_{k}}} sigma_{max}left({mathbf{I}}-mu_{k}{mathbf{x}^{ast}_{k}}{{mathbf{u}^{textsf{T}}_{k}}}right) {le 1} for some positive range of step-sizes, for example 0<μ k <∥x k,u k ∥.
This way we could substantially shorten our final translation of the above mentioned example item (262 characters) and increase its comprehensibility.
The format underlying the declaration of external inputs is as follows: Input:name:initial/default value:random(R)/fixed(F):noise(N /fixed/(F):time to be introduced:dosage (in percentage):duration of the dosage Consider the above mentioned example of a 200-iteration network simulation.
First, unlike English irregular verbs which tend to occur in phonological clusters such as drink, sink, sing etc. that help to predict the form of similar past participles (drunk, sunk, sung for the above mentioned example), German verb stems do not provide any reliable indication of whether they are irregular or regular (Beedham, 1994).
This MOEMS TOF system, in contrast to the above mentioned examples, can be tuned over a wide wavelength range based on a dual tuning principle: by tilting the photonic crystal and by reversible filling the pores of the photonic crystal with liquids or gases.
On the other hand, they could also serve to improve other aspects of hearing, such as frequency selectivity (see the above mentioned Chilata example), directional hearing or the vestibular sense and, thus, maneuverability of fish.
A number of tools are available that perform one or several of the above mentioned analyses; for example MeV [4], GenePatterns [5], ExpressionProfiler [6], geWorkbench [7], DAVID [8], Babelomics [9], GoMiner [10] [11], ConceptGen [12], GSEA [13], EXPANDER [14] among many others.
In order to clarify the above mentioned arithmetic operations, the following example is presented.
However, the activated AR stimulates the expression of its targets as, for example, the above mentioned VEGF [ 174] and PSA [ 175].
This is different from the above-mentioned example in which you could help the pharmaceutical company pave a new path into RNA therapeutics.
