Referencing in Report Writing: Moebius Transformations

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SUMMARY

This discussion focuses on the proper referencing practices in report writing, specifically regarding Möbius transformations. It is established that original theorems and definitions must be cited, while common knowledge does not require citation. However, if a report closely follows the structure or exposition of a source, credit should be given. When in doubt, it is advisable to cite the source to maintain academic integrity.

PREREQUISITES
  • Understanding of Möbius transformations
  • Familiarity with academic referencing styles (e.g., APA, MLA)
  • Knowledge of common mathematical theorems and definitions
  • Basic skills in report writing and structure
NEXT STEPS
  • Research academic referencing guidelines for mathematics papers
  • Learn about common knowledge versus original sources in academic writing
  • Explore citation management tools like Zotero or EndNote
  • Study the structure of mathematical reports and how to present theorems
USEFUL FOR

Students, researchers, and academics involved in writing reports on mathematical topics, particularly those focusing on Möbius transformations and related concepts.

jimmycricket
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I'm currently writing a report on moebius transformations. I haven't had to reference for quite some time and I'm not totally sure how to go about it. When introducing theorems, definitions, etc do I need to reference the source?
Also throughout the report I have often taken concepts from a source and reduced them into more understandable language. Do I need to mention this source material?
 
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If the theorem or definition is original to the source, you certainly need to cite the source.

If it's common knowledge (e.g. the definition of a Möbius transformation) you don't necessarily need to cite a source. However, if you closely follow a particular source's exposition of well-known material (for example, introducing theorems in the same order as a certain book or paper, or presenting a proof you found somewhere else), then you should give credit to that source.
 
If in doubt, cite it. It doesn't cost anything.
 

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