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The phrase "for a further description" is correct and usable in written English.
It can be used when you want to direct someone to additional information or details about a subject.
Example: "Please refer to the attached document for a further description of the project requirements."
Alternatives: "for more details" or "for additional information".
Exact(15)
For a further description of these metrics and a summary of the metrics for all Nature journals, please visit our journal metrics page.
See the Appendix for a further description of each fusion algorithm process.
This should be enabled by additional columns for a further description of the criteria.
(See Appendix 2 for a further description of all game algorithms).
Teacher instruction is characterised by a predominant presence of the teacher (for a further description see section "Situational characteristics: Different learning settings at school").
It integrates theoretical assumptions and empirical findings from cognitive and motivation theory, personality psychology, and neurobiology (Kuhl et al. 2006 for a further description and discussion of the PSI theory see Kuhl 2000a).
Similar(45)
For the first time, he added a further description of his targets, saying he was aiming at nations that "have shown us clearly that they hate freedom, they hate transparency, they hate the rule of law".
Please note that the diagram is not a classical Venn diagram; for further description, please refer to Fig. 2.
Although we do not know the precise mechanism by which the R1116T mutation impacts the activity of Yor1-ΔF, the aggregate of our evidence suggests that it is a dominant gain-of-function mutation that confers additional drug-pumping activity (see Additional File 1 - Discussion A and Additional file 1, Figure S1 for further description and characterization of the R1116T mutation).
a See text for definitions and further description.
The principles of Web 2.0 build the basis for the further description and analysis of the applications that we found during our research.
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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