Activity for whybecauseâ€
| Type | On... | Excerpt | Status | Date |
|---|---|---|---|---|
| Answer | — |
A: Solely reputable textbooks ought be cited. I agree that canonical textbooks are superior--often because they are in the canon for a reason! But if for no other reason, it's super helpful to have everyone literally on the same page. If you say you learned Calculus and then you mention a bunch of stuff I never heard of, or don't know a bunch o... (more) |
— | over 2 years ago |
| Edit | Post #285419 |
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— | over 2 years ago |
| Comment | Post #285425 |
From glancing around, it looks to me like actually this is already a success in getting questions answered. Although my survey of the posted questions is brief, it looks to me like the success rate is pretty comparable to SE. I do think that it seems to take longer for a question to get answered, a... (more) |
— | over 2 years ago |
| Comment | Post #285426 |
I agree with you "when I see this what should I think?" is a good math question. But my experience with SE and my brief experience here at Codidact, tells me that these sorts of questions get heavily downvoted and closed. So it made me wonder if it would make sense to give them their own home, so t... (more) |
— | over 2 years ago |
| Edit | Post #285425 | Initial revision | — | over 2 years ago |
| Answer | — |
A: How can we grow this community? I think you can moderate the negative impression of not having recent questions, by displaying the number of views that a question gets when you post it. That way when someone posts a questions and sees the views update, they at least know that the post is generating some amount of activity. Th... (more) |
— | over 2 years ago |
| Edit | Post #285424 | Initial revision | — | over 2 years ago |
| Question | — |
$\int_{E_n} |g|^q = \left| \int_E \chi_{E_n}\cdot \text{sgn}(g)\cdot g \cdot |g|^{q-1}\cdot |g| \right|$ I am trying to understand why the following equation is true. Here $E$ is a measurable set and all functions are defined and measurable on it. $1<p,q,<\infty$ such that $\frac 1 p+\frac 1 q=1$ and $g\in L^q(E)$. $En= \\{ x \in E:|g|\le n \\}$. And there exists a number $M$ such that for every $f\... (more) |
— | over 2 years ago |
| Edit | Post #285423 |
Post edited: |
— | over 2 years ago |
| Edit | Post #285423 | Initial revision | — | over 2 years ago |
| Question | — |
Should there be more than one sort of math community? There are, to my mind, two very different but important kinds of mathematical question. There is the kind that the Codidact and SE communities both like: Straight-forward "give the proof/calculation" questions. This can be "How do I solve this?" or "Why is this wrong?" or a few other variations. ... (more) |
— | over 2 years ago |
| Edit | Post #285422 |
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— | over 2 years ago |
| Edit | Post #285422 | Initial revision | — | over 2 years ago |
| Answer | — |
A: Without calculations, how can you visualize "that half the squares are white and half are black"? I could argue: Clearly for every white square there is a corresponding black square. This is true row-by-row because the row-length is even and the colors alternate. Therefore it is also true taking all rows together. But I'm not sure why you can't imagine rotating the board. The upper-left w... (more) |
— | over 2 years ago |
| Comment | Post #285342 |
Mathematical induction is not scientific induction. So in that sense mathematical induction is misnamed. But ... maybe scientific induction is the one that's misnamed. I don't know the history of these terms, but in any case, someone somewhere should change at least one of these names.
What c... (more) |
— | over 2 years ago |
| Edit | Post #285421 | Initial revision | — | over 2 years ago |
| Answer | — |
A: Questions with a quote/screenshot and a request to explain I'm pretty averse to using the downvote, so for me this would depend on context. If it's literally just a screenshot with "how?" written after it, yeah, downvote. But in general I think downvoting has more power to harm a community than to help, so I use it with caution. If there's at least a li... (more) |
— | over 2 years ago |
| Comment | Post #283900 |
If when you ask "How would you know to do the next step?" you have emphasis on the word "the", then I agree with your argument. There is not a unique next step, and not even a unique best next step.
But if the question is mean to ask, "What am I supposed to be learning here? How am I supposed ... (more) |
— | over 2 years ago |
| Comment | Post #284788 |
An opinionated answer: I love topology and hate how it's taught in just about every course and textbook I've ever encountered. For this reason, I think you appreciate topology the most after you've learned a lot of other stuff first and then can appreciate what it's talking about because you can fi... (more) |
— | over 2 years ago |
| Edit | Post #285419 |
Post edited: |
— | over 2 years ago |
| Edit | Post #285419 | Initial revision | — | over 2 years ago |
| Answer | — |
A: Intuitively, why can $a, b$ cycle in ${\color{red}{b}} = \frac c{\color{red}{a}} \iff {\color{red}{a}} = \frac c{\color{red}{b}}$? A possibly helpful further note beyond the answers given elsewhere here: Do you intuitively understand why $ab=c$ is equivalent to $a=c/b$ for all $b\ne 0$? If so, and if you intuitively understand the commutativity of multiplication, then these two intuitions put together give you everything that ... (more) |
— | over 2 years ago |
| Comment | Post #285015 |
I would be weary of this sort of explanation. If you have a property which you do not find intuitive, but also not counter-intuitive, then you are ... just stuck. So I do think, if the job is to give intuition, you really need to give the intuition, and not just turn it around on the student. (more) |
— | over 2 years ago |
| Comment | Post #285365 |
As a direct answer to the question, I can't say what we mean by "natural". But I can tell you that it is not well-defined or even a common "abuse of notation" (as you sometimes see even when a notation doesn't make perfect literal sense) to use two pipes inside a single probability function. Someti... (more) |
— | over 2 years ago |
| Edit | Post #285418 |
Post edited: |
— | over 2 years ago |
| Edit | Post #285418 | Initial revision | — | over 2 years ago |
| Answer | — |
A: In general, does $\color{forestgreen}{P(A|M)} + \color{red}{P(B|M)} = 1$? This is a special instance of the more general fact that $P(A)+P(B)=1$ if $A$ and $B$ "partition" the probability space. I'll explain what I mean. A partition of a set is any way of carving up the set into (1) disjoint and (2) exhaustive subsets. For instance if the set is {1,2,3,4} then a par... (more) |
— | over 2 years ago |
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