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"establish a sequence" is correct and usable in written English.
You can use it when describing the act of ordering things in a particular order. For example, "The teacher asked the students to establish a sequence of events leading up to the Revolutionary War."
Exact(9)
Parmentier [9] used an architectural viewpoint, while Sahai [8] used inscriptions to establish a sequence.
Moreover, we establish a sequence { x n } which converges strongly to the unique best approximation point.
For an arbitrary (xin X), we establish a sequence ({x_{n}}) in the following manner: x=x_{0} quad mbox{and} quad x_{n+1}=Tx_{n} quad forall ninmathbb{N}.
In the first best approximation theorem, we establish a sequence { x n } which converges strongly to the unique best approximation point; while in the second best approximation theorem, we obtain the existence of a minimum best approximation point and a maximum best approximation point in order intervals.
The evidence provided in the previous paragraph is sufficient to establish a sequence relationship.
Here, we present a simple and accessible protocol to barcode duckweeds and establish a sequence database against which unknown species may be compared and tentative species identifications can be validated.
Similar(51)
They tried, and failed, to persuade the Chinese government to establish a sequencing center.
In future work, we plan to establish a sequence-based retrieval for the complete NGS-based SSRs patterns for marker development across a wide range of organelle genomes.
Under all these modes, the client establishes a sequence of HTTP connections, measuring the resulting RTT.
This paper improves the compilation method of energy input output tables, and establishes a sequence of energy input output tables for China.
It establishes a sequence of events: order goes to disorder, heat flows from hot to cold bodies, and energy goes from a concentrated form to a less-concentrated form with the release of heat.
More suggestions(18)
establish a suite
establish a string
establish a timing
establish a succession
establish a scene
establish a pattern
implement a sequence
establish a chain
establish a sequential
determine a sequence
establish a chronology
achieve a sequence
establish a continuum
establish a sequencing
establishing a sequence
setting a sequence
determining a sequence
establishes a sequence
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com