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At first, I was confused as to which parts of the article would go to cubic function and which would go to cubic equation, since I would call "y = x^3 + px" a cubic equation (but not a cubic equation in one variable as defined in the lead). The suggestion seems reasonable otherwise though, and
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Proof are presented with a lot of details (including very elementary computations, and proofs of side results that are better described in specific articles, generally not linked) that are confusing by making the exact results difficult to find, as well as the main ideas of the
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The order of presentation is not related to the importance of the the content nor to its technicality. For example, the section on depressed cubics was (before my edits) a subsection of an unrelated section, while reduction to a depressed cubic is fundamental for simplifying
631:. Another suggestion would be to split out the various proofs of the cubic formula into a subpage. I am not convinced by this. In any case, such a split must be decided after having simplified the proofs, as suggsted above.
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for the general case. If you find the old version better, please, explain why. I'll try to solve your concerns, if any. By the way, this article has been splitted, and everything that concern equations is in
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Another argument in favor of splitting is that the coefficients are always real in the "function" part, while most of the "equation" part does not depend on the nature of the coefficients.
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Some basic facts are lacking, such as that, up to translations and directional scalings along the axes, there is only three cubic functions, and thus three shapes for their graph.
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As suggested before, this article is a mess. I have started to fix it. However, the number of issues makes the work harder than I thought previously. Here are the main issues:
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Why has the solution section been removed from this page? The formulas in that section were so helpful in solving cubic polynomials
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or its section on the
Cardano formula. Some of the others could use attention but this solves most of the problem for now.
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I could be bold, and proceed, but, as it is a strong restructuration, some further opinions would be helpful.
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So, restructuring the article will take some time, and the global reason of my edits needs to be explicited.
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on
Knowledge (XXG). If you would like to participate, please visit the project page, where you can join
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perhaps its implementation would be clearer than what I imagine right now. I'd say go for it. —
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Thank you for your answer. I've seen the other article and I found it very good too.
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The solution section has not been removed. It has been rewritten and renamed
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Redirects to this page for solution of cubic need to be updated after split
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I would appreciate feedback on the section that I have already rewritten.
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Most of those now should point to the page on cubic equations.
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I changed the redirects that clearly should go to the page
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