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TonyK

 Discussion on question by Tran Khanh:…

Imported from a comment discussion on english.stackexchange.co...
TonyK
Tue 11:20
There is a distinct glottal closure before final voiceless stops in English. This is what distinguishes 'etch' /ɛʔtʃ/ from 'edge' /ɛdʒ/ most clearly.
 

 Discussion on question by WanderingLi…

Imported from a comment discussion on english.stackexchange.co...
TonyK
Jul 2 02:28
Your "without user intention" is ambiguous, if not misleading. The fault is yours. As others have suggested, "without user intervention" is what you should have written.
 

 Discussion on question by Dart: Can 3…

Imported from a comment discussion on math.stackexchange.com/q...
TonyK
Mar 17 11:39
You think you did 10k? That is rather vague! In any case, 10k doesn't seem big enough to give us much confidence that this thing doesn't have a solution. If you went up to 10 million, I would be more inclined to believe it.
 

 Discussion on answer by Vadym Vashche…

Imported from a comment discussion on math.stackexchange.com/q...
TonyK
Dec 21, 2024 16:38
It is clear that you have put a lot of work into this huge post. But there was really no need for it -- the question has already been answered fully.
 

 Discussion on question by Conor OMall…

Imported from a comment discussion on math.stackexchange.com/q...
TonyK
Dec 15, 2024 20:12
@ThomasAndrews: Your very first comment implies that $<O(\cdot)$ does have an assigned meaning, surely? And you are not being forced to waste your time by responding :-)
TonyK
Dec 15, 2024 20:12
@ThomasAndrews: That is not what $<O(\cdot)$ means, in my opinion. $O(\cdot)$ is not a function, it's a shorthand, and $<O(\cdot)$ means precisely the same as $o(\cdot)$. In view of this disagreement, perhaps your edit was unwarranted.
TonyK
Dec 15, 2024 20:12
You can rewrite $\frac{a_i x}{-b_i x + c_i}$ as $-\frac{a_i}{b_i}+\frac{a_ib_i}{-b_ix+c_i}$, reducing $f(x)$ to an expression of the form $u+\sum_i\frac{1}{v_ix+w_i}$.
TonyK
Dec 15, 2024 20:12
@ThomasAndrews: I disagree: $O(n\log n)$ doesn't imply $<O(n\log n)$. That is what $o(n\log n)$ is for.
 

 Discussion on question by mediocreveg…

Imported from a comment discussion on math.stackexchange.com/q...
TonyK
Dec 12, 2024 09:33
Sorry, I missed that. I have deleted my comments.
 

 Discussion on question by Miss Unders…

Imported from a comment discussion on space.stackexchange.com/...
TonyK
Dec 8, 2024 07:57
What an extraordinary question! The Voyager spacecraft have lasted over ten times longer than their planned missions, and here you are asking why the engineers who designed and built them were so short-sighted. Are you serious?
 

 Discussion on question by Display nam…

Imported from a comment discussion on math.stackexchange.com/q...
TonyK
Oct 8, 2024 09:06
Why use E and $\exists$ to mean the same thing?
 

 Discussion on question by Ahan: Write…

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TonyK
Oct 6, 2024 11:00
If you click on Download here, you will find this question at the bottom of Page 6. The question simply makes no sense, in English or Bengali, and I can't see an obvious way to fix it.
 

 Discussion on answer by psmears: Attr…

Imported from a comment discussion on english.stackexchange.co...
TonyK
Apr 5, 2024 05:17
@psmears: (i) the webpages for package awt and package swing; (ii) This package provides debug information for package glibc.
TonyK
Apr 5, 2024 05:17
@psmears: methods are not packages. They are small components of packages, and play a quite different semantic role. Look for instances of "the xyz package", please.
TonyK
Apr 5, 2024 05:17
@psmears: I already said two comments ago that the first version is more natural to me. Why are you questioning this? As for real examples in the wild: you first!
TonyK
Apr 5, 2024 05:17
@psmears: No, "method DEX" is the same construction as "package widget".
TonyK
Apr 5, 2024 05:17
@psmears: The OP asks about constructions of the form "For that we use package widget" (note the order of the last two words). This is more natural (to me at least) than "For that we use the package widget."
TonyK
Apr 5, 2024 05:17
I am a native speaker of 65 years' standing,and have been a programmer for 40 of those years. All the examples in the OP's question seem perfectly natural to me. Are you in the programming business yourself?
 

 Discussion on question by steveK: RSA…

Imported from a comment discussion on math.stackexchange.com/q...
TonyK
Jan 21, 2024 14:20
I have no idea why you were downvoted. Don't take it to heart -- you got two upvotes after all!
TonyK
Jan 21, 2024 14:20
@MishaLavrov: I don't agree. If we are given that $P\ge\sqrt N-P$ and $Q\le\sqrt N+2P$, then the question is: can we deduce from this that $Q-P\le 3P$? (Having said that, under this interpretation the answer is trivial...)
TonyK
Jan 21, 2024 14:20
The key point here is the "certain condition". I understand that to mean that we know these prime pairs have been generated subject to this condition, but we don't know the condition explicitly; we just observe that all the generated prime pairs satisfy $P\ge\sqrt N-P$ and $Q\le\sqrt N+2P$. (To add to the confusion, I think the condition mentioned in the last three sentences is a different condition.)
 

 Discussion on answer by lambshaanxy: …

Imported from a comment discussion on travel.stackexchange.com...
TonyK
Jan 4, 2024 16:51
@MindwinRememberMonica: Customs officers are a law unto themselves. And everybody notices a person's skin colour. So I don't think your concerns are based in reality.
 

 Discussion on question by Louis: Is t…

Imported from a comment discussion on workplace.stackexchange....
TonyK
Sep 17, 2023 13:27
This is how Grenfell Tower happened. And yes, it's fraud. Your options are (i) resign, (ii) tell the boss that you refuse to take the zoom meeting (see (i)), (iii) tell the client the truth (see (i)), or (iv) dig yourself in deeper by lying to the client face to face. Sorry.
 

 Discussion on question by Markoul11: …

Imported from a comment discussion on physics.stackexchange.co...
TonyK
Jul 24, 2023 02:16
But @DavidBailey, we all know what the OP meant by "balance"!
TonyK
Jul 24, 2023 02:16
@DavidBailey: Why does a balance have to be locally calibrated? I don't see it.
 

 Discussion on question by Sursula: I …

Imported from a comment discussion on academia.stackexchange.c...
TonyK
Apr 18, 2023 19:25
Did you receive it on April 1st?
 

 Discussion on question by Dreamworld2…

Imported from a comment discussion on math.stackexchange.com/q...
TonyK
Mar 24, 2023 17:13
@fwd: Whoops! I meant $\sin(\frac{1}{1-x})$.
TonyK
Mar 24, 2023 17:13
@fwd: how about $\sin(1-\frac{1}{x})$?
TonyK
Mar 24, 2023 17:13
@PauloS.: but can $\sin(1/x)$ be represented as a power series with all coefficients equal to $\pm 1$?
TonyK
Mar 24, 2023 17:13
@Gary, 'zeroes' is a perfectly valid plural!
 

 Discussion on question by Yang Long: …

Imported from a comment discussion on workplace.stackexchange....
TonyK
Jan 29, 2023 00:58
In what way can this be called a promotion? A promotion comes with at least a pay rise, and often an increase in authority. This is neither. Are your managers idiots? (You would be the idiot if you accepted this so-called 'promotion'.)
 

 Discussion on question by alexhroom: …

Imported from a comment discussion on travel.stackexchange.com...
TonyK
Aug 15, 2022 18:52
It sounds like a quota system. "Come on lads, line up, let's get this over with -- we have to check 20 suspicious persons tonight!" And the "suspicious persons" play along, because it makes everyone's life easier -- if they didn't play along, they might get checked more thoroughly. But this is pure speculation on my part!
 

 Discussion on answer by Weather Vane:…

Imported from a comment discussion on english.stackexchange.co...
TonyK
Aug 12, 2022 18:43
Yes, use 'minus'. It can't be misunderstood.
 

 Discussion on question by Ali Shadhar…

Imported from a comment discussion on academia.stackexchange.c...
TonyK
Jul 20, 2022 15:32
It is unreasonable to expect them to do that.
TonyK
Jul 20, 2022 15:32
How could Springer possibly have verified whether your results already existed or not?
 

 Discussion on question by user1353635…

Imported from a comment discussion on travel.stackexchange.com...
TonyK
Jul 6, 2022 21:19
Be aware that Croatia is not a Schengen country. So you would need your passport if you wanted to take a day trip there from Slovenia.
 

 Discussion on answer by David Hammen:…

Imported from a comment discussion on astronomy.stackexchange....
TonyK
Jun 13, 2022 14:57
@DavidHammen: You said "into orbit". You didn't say "to an Earth-Moon Lagrange point". And a kilo of water can be safely stored in a plastic container weighing a couple of ounces. You were out by a factor of 15.
TonyK
Jun 13, 2022 14:57
@DavidHammen: You are way off! A kilo of gold costs about $60,000; putting a kilo of water into orbit on a Falcon 9 can be done for about $4,000.
 

 Discussion on answer by jcaron: Why c…

Imported from a comment discussion on travel.stackexchange.com...
TonyK
Jun 3, 2022 21:19
@CodeCaster: I'm speculating here. But coffee machines have to be cleaned regularly. If they have no diners left, they might clean the machine before the end of the shift, so they can go home earlier. So perhaps they already turned the machine off prior to cleaning it. (They might even have been happy to serve you alcohol, but no coffee.)
 

 Discussion on answer by Buffy: What a…

Imported from a comment discussion on academia.stackexchange.c...
TonyK
Jun 2, 2022 19:41
@EthanBolker: "colleague" is not the same as "boss".
 

 Discussion on question by Niranjan: I…

Imported from a comment discussion on academia.stackexchange.c...
TonyK
Apr 24, 2022 19:45
If it bothers you, just provide the original and a transliteration. Did this not occur to you? You seem determined to alienate the majority of your potential readers.
 

 Discussion on question by crlb: Prosp…

Imported from a comment discussion on workplace.stackexchange....
TonyK
Mar 11, 2022 13:19
It's kind of self-fulfilling: anybody stupid enough to accept this 'logic' is too stupid to deserve the salary that they asked for. "They fell for that one?" "Yeah, ha ha! Good thing we didn't offer them what they asked for!"
 

 Discussion on question by omg: Is the…

Imported from a comment discussion on math.stackexchange.com/q...
TonyK
Feb 24, 2022 14:46
@omg, primes of this size can be rigorously proven prime in under a second, using the ECPP (Elliptic Curve Primality Proof) algorithm. Primo is a free program that implements this algorithm; you can download it here.
TonyK
Feb 24, 2022 14:46
The order of a point on the curve divides the order of the curve (because it's a group). That's about all you can say.
 

 Discussion on question by Barmar: Is …

Imported from a comment discussion on astronomy.stackexchange....
TonyK
Dec 28, 2021 16:38
@JustinTackett: See this Wikipedia article on radar astronomy. It says, inter alia: "Radar could detect something ~1 km across a large fraction of an AU away, but at 8-10 AU, the distance to Saturn, we need targets at least hundreds of kilometers wide."
TonyK
Dec 28, 2021 16:38
@JustinTackett: an observation gives you x- and y-coordinates, but no z-coordinate. And I don't think your idea of using Doppler shift to measure speed is going to be accurate enough to serve any useful purpose. So two observations would never be enough, even if they were sufficiently accurate (which they won't be). Please read the ESA page that I linked to!
TonyK
Dec 28, 2021 16:38
One possibility would be to use the James Webb Space Telescope together with earth-based telescopes (or Hubble), to triangulate the object's position in three dimensions. With a baseline of 1.5 million km, you should be able to get pretty close.
TonyK
Dec 28, 2021 16:38
See this ESA page for a discussion. TLDR: it would take months of observations. @JustinTackett: a single observation doesn't give you the object's speed or position.
 

 Discussion on question by Matthew Chr…

Imported from a comment discussion on physics.stackexchange.co...
TonyK
Dec 9, 2021 02:53
@Gert: but it says right there in your link that Einstein "expressed his dislike of the idea". Yet you claim that he didn't. Anyway, I am bowing out now.
TonyK
Dec 9, 2021 02:53
@Gert, now I'm confused. Which of us is supposed to have read your link?