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"background and introduction" is a correct and usable phrase in written English.
You could use it when introducing the context of a topic or discussing the findings of a study. For example: "This paper presents an overview of the background and introduction to the research topic of climate change."
Exact(3)
With this general question framing his overall research, he wrote his background and introduction.
This means that the background and introduction to the problem should be simple and your description of the questions being investigated should be more general than specific.
In fact, we ourselves have often derived more benefit from reading the background and introduction sections than the hypothesis section of some hypothesis papers.
Similar(57)
In the Shelf Life section from Anime News Network (ANN) Bamboo Dong comments that Itachi is one of her favorite characters from the series, noting his background and his introduction as the best parts of the series.
Instead, they assert that Jarrett's "family background and her initial introduction to Obama may tie her to [Van] Jones' radical ideology".
The pilot flashes a little bit of humor — a "Lost" joke, a "Twilight" joke — and perhaps the writers will mix in more, now that the backgrounding and character-introduction chores have been accomplished.
Background and Objective: The recent introduction of Full Laboratory Automation systems in clinical microbiology opens to the availability of streams of high definition images representing bacteria culturing plates.
The Chairs for each session have provided a general background and synopsis as an introduction to the topics under consideration.
Based on the content in STROBE, the highest score (≧9) are rated for the title, abstract, introduction (background and objectives), study design, outcome data and discussion (key results, interpretation, generalizability).
This selection process resulted in 24 Results, 21 Discussion, 18 Other, 17 figure captions, 13 Introduction, 5 Background and 2 Methods and Materials sections.
The third part will give a brief introduction to the background and data of the Beijing case study.
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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