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First an exact two-dimensional map has been formulated and analysed.
We treat a number of application-specific perturbation problems and show how they can be formulated and analysed using these robustness methodologies.
The design and work principle of the DSVC are introduced, and the dynamics and mechanical efficiency of the mechanism are theoretically formulated and analysed.
The equations describing the mass transfer, reaction and balance of the pore filling in an unsaturated porous body are formulated and analysed.
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Specifically, we formulate and analyse a population genetics model of this system to assess when different combinations of release strategies (i.e. single or multiple releases of both sexes or males only) and genetic systems (i.e. bisex lethal or female-specific lethal elements and different strengths of suppressors) will give population replacement or fail to do so.
As such, it remained at a rather metaphorical level of explanation, since complex non-linear biological processes are hard to formulate and analyse [ 5, 6, 8- 12].
Figure 1 displays myriad connections among the data sources and can be thought of as a cognitive map of relationships from which hypotheses can be formulated and analyses carried out.
A priori construct validity hypotheses were formulated and analyzed by means of correlation coefficients and regression analyses.
Interview transcripts were repeatedly read through, an initial framework of key themes (initial thematic categories) was formulated and interviews were analysed using these themes as well as others as they emerged.
BEP formulated and conducted statistical analyses, edited the manuscript, and also helped draft the manuscript.
The authors of the two meta-analyses formulated and tested several specific hypotheses.
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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