From Wikipedia:Scientific_citation_guidelines#Examples.2C_derivations_and_restatements
Wikipedia is neither a textbook nor a journal. Nonetheless, in mathematics and the mathematical sciences, it is frequently helpful to quote theorems, include simple derivations, and provide illustrative examples. For reasons of notation, clarity, consistency, or simplicity it is often necessary to state things in a slightly different way than they are stated in the references, to provide a different derivation, or to provide an original example. This is standard practice in journals, and does not make any claim of novelty.[1] In Wikipedia articles this does not constitute original research and is perfectly permissible – in fact, encouraged – provided that a reader who reads and understands the references can easily see how the material in the Wikipedia article can be inferred.
As an example, the article on the Lambda-CDM model quotes values for Hubble parameter h and the fraction of the present universe made up of baryons, Ωb. For technical reasons having to do with their Fisher matrix, the WMAP collaboration quotes values for h and Ωbh2.[2] The values quoted in the article are more useful for the lay reader. Any reader who looks at the WMAP paper, and has a basic knowledge of error analyses, will understand how to go from one to the other.
From Wikipedia:Attribution#What_is_not_original_research.3F:
Editors may make straightforward mathematical calculations or logical deductions based on fully attributed data that neither change the significance of the data nor require additional assumptions beyond what is in the source. It should be possible for any reader without specialist knowledge to understand the deductions. For example, if a published source gives the numbers of votes cast in an election by candidate, it is not original research to include percentages alongside the numbers, so long as it is a simple calculation and the vote counts all come from the same source. Deductions of this nature should not be made if they serve to advance a position, or if they are based on source material published about a topic other than the one at hand.
- ^ See Manifold Destiny for a possible counterexample.
- ^ D. N. Spergel et al. (WMAP collaboration) (March 2006). "Wilkinson Microwave Anisotropy Probe (WMAP) three year results: implications for cosmology".
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