21:0921:09, 9 March 2024diffhist+114
Division by zero
I rewrote it without the formulas. In fact, it is now less technical than the original, with fewer formulas. Made the correction that 0/0 is the indeterminate form, not the ratio of functions.Tags: RevertedDisambiguation links added
19:2419:24, 9 March 2024diffhist+155
Division by zero
Becoming arbitrarily large is not the same as tending to infinity (could oscillate, for example), so the wording has been made more precise. Also clarified that it is 0/0 that is called an indeterminate form.Tags: RevertedDisambiguation links added
05:1205:12, 9 March 2024diffhist+11
Division by zero
→Early attempts: Whether this "leads to algebraic absurdities" depends on what other properties of arithmetic operations one is assuming; it's not an absolute truth. It's not clear what specifically is being claimed here.
17:2517:25, 6 January 2024diffhist−557
Division by zero
→Fallacies: No need to cancel 0/0. Cancelling 0 from both sides is enough. Calling out the transitivity property just distracts from the main point here (and anyway, it is also using the symmetric property). I removed the reference, which did not contain this explanation anyway. We don't need to define fallacy here, since there's a wikilink for those who need it.
08:0308:03, 15 December 2023diffhist−78
Field (mathematics)
I would not say that Galois theory is needed for proving the impossibility of angle trisection and squaring the circle. I removed the statement that Galois initiated Galois theory; anyone who wants to know this can click the link to the Galois theory article.
02:4402:44, 18 October 2023diffhist−20
Group (mathematics)
Although one does not change the concept of group if one requires it to be nonempty, it is cleaner not to add this condition, and I believe that most sources do not include this condition. With the condition there, every time one wants to check that a set with an operation is a group, one needs to check separately that it is nonempty.
21:1621:16, 18 May 2023diffhist+437
Binomial theorem
Undid good faith revision 1155426823 by Graham87 (talk). Whatever damage was caused by block evasion in April has already been undone, and the newer edits are supported by relevant citations, so I'd let them stand, unless there are concerns with the specific content, in which case let's discuss it item by item.Tag: Undo
04:0104:01, 5 May 2023diffhist+187
Binomial theorem
→History: Euclid and Diophantus were not contemporaries, so "meanwhile" is the wrong word. According to the cited reference, it is not clear that Diophantus had the binomial theorem for exponent 3 in general. Aryabhatta is a common misspelling, according to Wikipedia.Tag: Reverted
22:0222:02, 6 February 2023diffhist−137
Real number
The Brittanica reference cited does not say anything about physical reality, or that Descartes was the first to use the term.
23:3823:38, 22 January 2023diffhist−10
Limit (mathematics)
Undid good faith revision 1134120701 by Undergalf (talk) "Limit of a function" and "limit of a sequence" are commonly used expressions with slightly different meanings. "Limit of an output" is not common. If the goal is to explain what a function is, then it would be better to do that at function (mathematics).Tag: Undo
16:2116:21, 14 January 2023diffhist−74
Integral domain
The zero-product property is not an equivalent definition; it is the same definition! (And the term is not so common in the literature, compared to the other terms being used here.) I made a wiki-link to it instead of adding it to the already long list of equivalent definitions. I also standardized the spelling of "nonzero" (it was already without hyphen in all but one place).