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This has two important consequences: (1) if a certain diagram cannot be drawn then the described situation must be impossible (termed "self-consistency"), and (2) if a certain relationship between diagram objects must be drawn, then the corresponding relation can be inferred as logically valid.
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to better understand the effects of nanopillar-patterned surface factors on droplet wetting behaviors and obtain a certain phase diagram of wetting states of a water droplet on a nanopillar-patterned surface.
The idea is that sentential languages are based on acoustic signals which are sequential in nature, and so must have a compensatingly complex syntax in order to express certain relationships whereas diagrams, being two-dimensional, are able to display some relationships without the intervention of a complex syntax (Stenning & Lemon 2001).
To diagram certain game-theory problems, Von Neumann used hands of poker as examples.
I have seen some students get marks "capped" because they haven't included a certain phrase or diagram, even though their overall work was of a high standard.
Into each of the blank squares of the diagram a certain letter of the alphabet is to be inserted, forming the words fitting the numbered definitions or clues.
According to the test designers they measure the following abilities: Section 1: Logical reasoning and problem solving consists of 44 multiple choice questions based on a passage of text or a diagram presenting certain information.
The representational use of the spatial relations in the plane constrains diagrammatic representation, and therefore reasoning with diagrams, in certain important ways.
A construction is here to be understood in the elementary sense of producing drawings or diagrams, using certain instruments, such as a ruler and/or a compass, and not in the modern sense in foundational terms, i.e., a constructive, axiomatic foundation for geometry.
Using causal diagrams and certain premises, we compared a hypothetical cross-sectional study of the effect of a fertility drug on pregnancy with a hypothetical cohort study.
Using certain premises and causal diagrams, we have shown here that a cross-sectional study is not inherently inferior to a prospective or retrospective cohort.
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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