Mathematics

12:01 AM

Can someone please help me with editing the following statement to look mathematically/grammatically sound? "Luckily, the limit in Theorem 1 rapidly converges to the exact result, such that letting j = 30 is sufficient to have
t within 0.01% of the exact solution.

So, Theorem 1 suggests that t = \lim_{j \to \infty} f(j).

Gigili

@Ali Chi mikhay begi kollan? ghesmate akharesho nemifahmam.

Jonas Teuwen

Oh, sweet Asaf.

Gigili

@Ali You could say "convergence of the limit is rapid, as [blah]." But it is grammatical as it is now except the last part of the sentence that I don't get.

Henry T. Horton

Che barfii!

Gigili

Oh?

Ali

12:12 AM

@Gigili: So, Theorem 1 expresses some quantity 't' as limit of a function of some variable 'j' when it goes to infinity. I'd like to say that the limit converges to the exact solution real quick such that the value of f(j) for j = 30 to infinity is almost about the same.

Gigili

@Ali The limit converges so rapidly that for "j=30" you almost have the desired result or something like that.

Henning Makholm

@Ali The only edit to your original formulation I would consider about the convergence is to put "rapidly" after" converges". But both choices are grammatical, I think. For the rest, I feel that "have t within" might be a bit too loose for mathematical writing...

Gigili

@Ali Also, I thought you could speak Per according to your profile so I asked that question.

Henning Makholm

How about just "setting j=30 produces t to a precision better than 0.01%"?

@Ali Are you sure that "suggests" is what you want to say here?

Ali

@Gigili: Thanks. Yeah, I do know Persian, but there are people here who don't.

robjohn

12:20 AM

J.M. has gone for a fractal gravatar.

Ali

@HenningMakholm: Thanks. I am not sure about the latter. What would you suggest, instead?

Gigili

@robjohn Wow, shiny.

robjohn

@JonasTeuwen what has he done now?

Jonas Teuwen

@robjohn Mailed me :-).

Gigili

@Ali Obviously, the former doesn't contradict the latter.

robjohn

12:21 AM

@Gigili It is a change for him. He has been doing constant curvature surfaces for a while.

Ali

@Gigili: I meant a substitute for word "suggest", by latter.

robjohn

@JonasTeuwen He never replied to the emails I sent him. :-(

Henning Makholm

@Ali Not sure. Depends on what you want to say. (I had a professor who lectured for years until someone told him that "suggests" and "implies" are not the same (or rather, their equivalents in Danish)).

Jonas Teuwen

@robjohn Oh, just send them again, he can handle that 8-).

robjohn

@HenningMakholm like "hints" and "commands" are not the same

Jonas Teuwen

12:24 AM

@HenningMakholm Mmm, but I hope that only means he didn't understand the words, and not their meaning 8-).

Ali

@HenningMakholm: Hmm, I see. In mathematics, every word has a very particular meaning, and unfortunately, I am not familiar with most of such terminologies.

Jonas Teuwen

If you are too lazy to type all results and to make exercises, just state the theorem, don't give any exercises and name those "Further results".

robjohn

@JonasTeuwen It has been since he left chat. I know he got them, so there would be no point in resending.

Jonas Teuwen

@robjohn Might have as well thought "I will reply later on" and forgot. Happens to me all the time.

Gigili

@robjohn Oh, dear. Maybe just forward them to me and I'll reply to all of them.

robjohn

12:27 AM

@Gigili maybe later ;-)

Henning Makholm

@JonasTeuwen Well, he's an American working in Denmark, and he had just looked up "imply" in a general English-Danish dictionary. Unfortunately the gloss he selected on was the one that matches the everyday "suggest" sense of "imply".

Jonas Teuwen

@HenningMakholm Ah! :-). (Btw Asaf broke my dream by stating that given HB you have non-measurable sets :-()

Henning Makholm

@Ali Well, to be precise: If the therorem makes it completely certain that t ist the limit, then "suggests" is too weak a word here, and you need "implies" instead. However, it it is possible that the theorem could be true and t still differ from the limit somehow, then "suggests" might be a good choice.

Jonas Teuwen

Good night guys.

Henning Makholm

Goodnight. Wait, is it 02:30? Time to call it a day.

Ali

12:31 AM

@HenningMakholm: Cool! Then, I think "implies" is the right word for my purpose here.

Jonas Teuwen

@HenningMakholm In three hours.

Henning Makholm

@JonasTeuwen So you're in UTC-01? Iceland?

Jonas Teuwen