4/29/2023 0 Comments Theorem oin latexitTheorem 3: The objects I like have property. We now use a special case of a theorem of Smith recalling here only what we need. Or if you want to emphasize that what you're stating is easily implied by Smith, I might say something like Smith proved the following, which appears as theorem 13.b of Or if it's very hard to find where in Smith wrote that theorem, you could say Theorem 3 (Smith ): All objects have property. The problem was originally asked by Smith, who addressed the situation when things are nice. Īnd the theorem number is just whatever number would be next in your paper. We recall the following theorem due to Smith. You can do this easily, and you don't have to mention a proof at all unless it's unclear how their result implies your statement.įor example, I would write something like: I ask myself "is what I'm writing obviously equivalent to or implied by the theorem they wrote?" If so, I would simply phrase the result in my own words and credit them for the theorem. My rule of thumb is that when I cite something, I always try to credit previous literature for everything I can. They have no standard format (the journal will do the format they like for you), and you don't have to worry so much about exactly quoting somebody per se. Citations in math papers are always weird. I've never heard of any rule like you mention, and I don't think there's any expectation in the community about this. And the formatting and such that you choose will probably be changed by the journal any way. The journal you ultimately submit to will have people whose job is to make sure you use any nuanced writing rules like this correctly. So as a rule, it's good to take their opinion into consideration. Your advisor ought to have experience with this sort of thing in general. On the one hand, you sort of don't need to worry about it, but it's best to make your advisor happy (especially if they are a co-author). Note that I need to apply the equations in Theorem 1 in my subsequent writings, so simply quoting this theorem and applying its conclusions may not be a good choice. This is because formulations of theorems are not always optimal, and also the notations generally have to be changed in accordance with my writings. So what is the proper way to cite a theorem in a situation like this? I personally prefer to state an exiting theorem in my own words. In that case, I should refer it at the beginning of the proof of this theorem as I have shown above. However, if I state this theorem by my own words, with possible changes of notations or similar things, then I cannot put the citation remark after Theorem 1. My supervisor suggested that if I put the citation remark after Theorem 1, then all my writing and wordings have to be identical to the original one in. I have questions on how to properly cite a mathematical theorem in order to use it in a paper.įor example, assume that I need to apply an existing theorem from a published book 1.
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