Activity for Derek Elkinsâ€
Type | On... | Excerpt | Status | Date |
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Comment | Post #280850 |
You've typoed the bolded sentence. It is $X \times (B/A)$, not $X \times (A/B)$. If you misread it this way, that might explain your confusion. Also, as with your other question, here "rounding up" seems to be being used in the sense of "rounding up cattle" as opposed to rounding up a number to an in... (more) |
— | about 3 years ago |
Comment | Post #280849 |
"Group" is not being used in any technical sense here. Mathematicians can use words in their colloquial sense too. Also, there often are technical terms that are used for different things in different contexts, so just because a word is used one way in one place doesn't mean it is used that way every... (more) |
— | about 3 years ago |
Comment | Post #280653 |
I did not say that you needed to "render pictures as text/MathJax", I said to put as much of your question *as possible* in the form of text/MathJax. There is absolutely no reason for the second image. The relevant content of your second image is simply the equations 8 and 9 which you *can* easily re... (more) |
— | over 3 years ago |
Comment | Post #280653 |
More specifically to your question, I have no idea what you are trying to communicate with the first image. As far as I can tell, you've simply added the text "$1/t, t \neq 0$ to it. Also, doesn't simply plotting $x = 1/t$ as a function of $t$ not already make it graphically and intuitively obvious t... (more) |
— | over 3 years ago |
Comment | Post #280653 |
You should endeavor to put as much of your question as possible in the form of text/MathJax. This makes the question more accessible, e.g. to those using screen readers or who have custom fonts/text size such as for dyslexia or because they have difficulty reading small text. It also makes the questi... (more) |
— | over 3 years ago |
Comment | Post #280068 |
Perhaps ironically, for CPUs, computing $1/\sqrt x$ is often faster than computing $\sqrt x$. One way to see why this might be so is to compare the Newton-Raphson iterations. For $y=\sqrt x$, we get: $y_{n+1}=y_n/2+x/(2y_n)$. For $y=1/\sqrt x$, we get: $y_{n+1}=y_n(3-xy_n^2)/2$. The key difference he... (more) |
— | over 3 years ago |
Comment | Post #280120 |
I agree that this is a fairly clumsily presented definition. A precise and reasonably easy to understand definition is to define it inductively with the base case, $\prod_{\nu=1}^0 x_\nu = e$, and the inductive case: $\prod_{\nu=1}^{n+1} x_\nu = \left(\prod_{\nu=1}^n x_\nu\right)\cdot x_{n+1}$. (more) |
— | over 3 years ago |
Comment | Post #280118 |
Assuming $x_{(-)} : J \to G$, i.e. $x$ is a $J$-indexed collection of elements of $G$, then it can't be the case that $J \neq \varnothing$ while $\\{x_\nu \in G \mid \nu \in J\\} = \varnothing$. You could define a notion of product that took a finite multiset and compare that to a set-indexed notion ... (more) |
— | over 3 years ago |
Comment | Post #278382 |
Your first sentence is also potentially misleading. Math Codidact is also for people who aren't studying math and aren't professionals in related fields. We don't care (or have anyway of knowing) who the asker is or what their motivations are as long as the question is good and on-topic. (more) |
— | over 3 years ago |
Comment | Post #278382 |
This is useless. People don't need detailed guidance about topics that are obviously on-topic anymore than they need guidance about topics that are obviously off-topic. This fails to accomplish even that as it's incomplete, as you say, and, more importantly, topicality isn't just a matter of subject ... (more) |
— | over 3 years ago |
Comment | Post #278270 |
A problem that is almost certainly related is that sometimes the Markdown processor will convert substrings delimited by underscores to italics when those underscores are part of the MathJax, thereby breaking the MathJax. Peter Taylor's issue and this one are almost certainly due to the Markdown proc... (more) |
— | over 3 years ago |
Comment | Post #278270 |
I've suggested an edit that "fixes" the post (so if the edit is accepted people should look in the history to see the original form). That said, the intuition of the change I made is that the backslashes needed to be escaped. However, they probably shouldn't need to be escaped and so some MathJax or ... (more) |
— | over 3 years ago |
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