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Activity for celtschk‭

Type On... Excerpt Status Date
Edit Post #280524 Post edited:
Fixed a typo
almost 4 years ago
Edit Post #280524 Initial revision almost 4 years ago
Question Are there useful topologies on Cartesian products “in between” the product topology and the box topology?
On the Cartesian product of topological spaces, there are two standard topologies: One is the product topology, the other is the box topology. As is well known, the box topology is generated by the product of open sets, and the product topology is generated by such products with the restriction th...
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almost 4 years ago
Comment Post #280340 Maybe it would be a good idea to make the autosave interval configurable (ideally per community, or simply two settings depending on whether MathJax is enabled or disabled). An autosave every five minutes would still be quite useful, but probably not too disruptive even with MathJax rendering.
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almost 4 years ago
Comment Post #280462 I think in the presence of a crosscap, each handle should be convertible to two crosscaps, therefore $g$ handles and $k$ crosscaps with $k\ge 1$ should be equivalent to $2g+k$ crosscaps. But I'm not entirely sure.
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almost 4 years ago
Edit Post #280313 Initial revision almost 4 years ago
Answer A: Are 3 10% chances better than one 30% chance (when penalized by a variable for failures)?
It somewhat depends on your game situation. If you have just that one weapon, need to upgrade it urgently, and are likely to have enough coins the next time you need to upgrade a weapon, then clearly the 30% option is better: It gives you a 30% probability of upgrade, while three 10% attempts give...
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almost 4 years ago
Comment Post #280068 @tommi: One case where the $1/\sqrt{3}$ definitely is more useful is as coefficient in a quantum state: You see immediately that the absolute square (which gives the corresponding probability) is $1/3$, which for $\sqrt{3}/3$ takes more cognitive load to see. Therefore which convention is more useful...
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about 4 years ago
Comment Post #280134 On the duplication issue: Maybe one could make a FAQ category populated with curated answers to popular questions. The FAQ would initially be populated by questions crafted on frequent questions on Math SE, and later extended to cover questions that turn out to be asked frequently here. This could be...
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about 4 years ago
Comment Post #280133 I think the first thing that has to be addressed is the bad interaction between MarkDown and MathJax on this site (the backslash problem). See [here](https://math.codidact.com/posts/278763) for details. I have some ideas on how this might be addressed on an algorithmic level, but unfortunately I have...
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about 4 years ago
Comment Post #280127 @luap42: Thank you; you're quick!
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about 4 years ago
Edit Post #280127 Initial revision about 4 years ago
Question Inconsistency of answer count between main page and question page
The question “Cutting the square” is listed on the main page as having one answer, however when going to that question, it says 0 answers (and indeed, no answer is shown). Something doesn't add up here. [1]: https://math.codidact.com/posts/278332
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about 4 years ago
Comment Post #280068 @tommy: That assumes that the numerical value is what you are interested in. Which is sometimes the case, but certainly not always.
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about 4 years ago
Comment Post #280069 Note that your third "we want" point is a direct consequence of the first two. Anyway, great answer, +1.
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about 4 years ago
Comment Post #279400 I have trouble to figure out what your intuition actually is. What is the unit of the denominator $2$ in "half a cake"? Anyway, the $1$ has to be dimensionless (having no unit) for the formula to work. It just means the number one.
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about 4 years ago
Edit Post #279117 Initial revision about 4 years ago
Question $sitename not substituted in FAQ
In the FAQ there appears the term "$sitename" several times. I'm pretty sure that's the name of a variable that should have been substituted here.
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about 4 years ago
Edit Post #279048 Initial revision about 4 years ago
Answer A: Why does “unless” mean “if not”?
According to the definition you quote, “unless” gives an exception to a preceding negative statement. An exception to a statement is a condition in which the statement does not apply. Therefore the statement does apply only if the condition is not fulfilled (because otherwise the exception applies, a...
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about 4 years ago
Comment Post #279026 @msh: I've now looked up the small inductive dimension, and I don't think it fits. In particular, the point types in general are only partially ordered, while the small inductive dimensions are by construction totally ordered. Also, if you equip a von-Neumann ordinal $\alpha$ with the topology $\alph...
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about 4 years ago
Edit Post #279036 Initial revision about 4 years ago
Answer A: Why does the decimal expansion of $1/(10n - 1)$ have this neat pattern?
I think the simplest way to see how it works is as follows: Given $x=\frac{1}{10n-1}$, it is easy to check that $\frac{x+1}{10}=nx$. Now $\frac{x+1}{10}$ means shifting the digits to the right, with an $1$ added as the first decimal. For example, in the case of $x=1/19$, we have $$\frac{x+1}{1...
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about 4 years ago
Comment Post #278772 One possibility to fix this is before passing it to MarkDown to pass it through another code which escapes all backslashes occurring inside MathJax expressions. That code would only have to detect the configured MathJax triggers (i.e. the dollar signs, and whatever else MathJax is configured to inter...
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about 4 years ago
Comment Post #278724 Happens also for me with Waterfox Classic on Linux. In particular the re-rendering on moving the cursor is annoying; a re-rendering should only be triggered when the edited content actually changes.
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about 4 years ago
Comment Post #278332 OK, so $S_0$ is a unit square. $B_1$ is a section of $S_0$ of area $1/1$, that is, all of $S_0$ except for a null set. Since it is a section by a straight line, that null set can be either empty, a corner point or a side. $S_1 = S_0\setminus B_1$ (your $S$ at that point misses an index, but up to now...
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about 4 years ago
Edit Post #279026 Post edited:
Fixed a wrong word
about 4 years ago
Edit Post #279026 Initial revision about 4 years ago
Question Classification of topological points
I've recently dreamed up the following idea to classify topological points, and I'm wondering if this is or relates to a known concept. Here “topological point” refers to a point together with its neighbourhood structure (the definitions below should make clear what I mean). Given a topological sp...
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about 4 years ago