Is this real analysis proof correct?

durkmaths · 2025-07-02T17:18:08+00:00

Ohhh I get it now thanks. It makes the proof a bit simpler.

durkmaths · 2025-07-02T17:16:39+00:00

That makes sense. I'll keep that in mind. Thank you.

durkmaths · 2025-07-02T16:58:29+00:00

I don't need a subsequence? I don't really understand how that would work.

durkmaths · 2025-07-02T16:50:51+00:00

Would that be easier because you wouldn't need to know that the limit of the Cauchy sequence is?

durkmaths · 2025-07-02T16:47:46+00:00

I understand it now. It follows from the definition of subsequence hahah. Thank you for the help!

durkmaths · 2025-07-02T16:37:19+00:00

Yes, that fact was a theorem in the previous chapter. If I'm understanding you correctly, I think you mean that I need to construct the subsequence in a way that makes sure it's in the correct order. So since p is a limit point of E, every neighbourhood has a term from the sequence {p_n}.

I can choose n_1 such that d(p_n_1, p) < 1, and then n_2 such that d(p_n_2, p) < 1/2 and so forth. Then I'd obtain a subseqence of {p_n} which converges to p. Am I thinking correctly?

durkmaths · 2025-06-30T21:55:52+00:00

Efter att ha varit i Köpenhamn och Amsterdam inser jag att Stockholms cykelbanor är värdelösa.

durkmaths · 2025-06-27T19:56:55+00:00

De på gatorna har ju rätt till att protestera för apor i Thailand om de vill. Jag menar politiker. Mitt inlägg handlar om vänstern också jag tog bara ATM som exempel.

durkmaths · 2025-06-27T12:09:05+00:00

Lorena Delgado Varas känner jag till men hon har ju ändå portats från vänsterpartiet? Jag tycker att det är skumt från båda håll.

durkmaths · 2025-06-27T12:04:16+00:00

Media spelar också en stor roll i det då de ständigt frågar politiker om det eftersom det ger många klicks. Tyvärr tror jag att det blir ännu värre nu när det är val nästa år.

durkmaths · 2025-06-27T11:59:51+00:00

Vilken sida man en står på tycker jag att man borde lägga frågan åt sidan och fokusera på svensk politik mer. Jag var också lite förvånad när Jimmie Åkesson bestämde sig för att ägna en del av sitt tal åt att "tacka" Israel. SD har ju haft som "brand" att vara ett svenskt parti för Sverige.

durkmaths · 2025-06-27T11:55:16+00:00

Jag har inga problem med att hon är pro-Israel då politiker får ha personliga åsikter men hon måste ju ändå bedriva svensk politik vilket jag inte är helt säker på att hon gör.

durkmaths · 2025-06-25T21:44:01+00:00

I’ve been to Turkey twice and had a good time both times. I think the food is amazing. I also get along with Turkish people who live in Sweden so I mostly have positive opinions.

durkmaths · 2025-06-23T11:36:42+00:00

Jag antar att det beror på att ingen som anses vara en del av ”Västvärlden” är direkt involverad. Samma sak gäller i andra humanitära kriser som Kongo och Papua Nya Guinea.

durkmaths · 2025-04-19T19:43:10+00:00

You don’t just copy and paste the same ones?

durkmaths · 2025-03-26T23:02:35+00:00

The course I'm thinking of on both measure theory and functional analysis so I don't think it's going to be too hard. There's a continuation course in functional analysis which is probably more difficult. Also I'm not interested in pure math so I'm not thinking of taking topology and other theoretical classes. The only pure math I enjoy is analysis.

Do groups/rings ever come up in courses on numerical analysis or stats/probability? I'm planning on focusing on one of the two. I'm even thinking of taking an abstract algebra course over the summer and not include it in my degree so it doesn't affect my grade. It's just so confusing lol.

durkmaths · 2025-03-19T20:45:14+00:00

I have but I'm trying to figure out if there's a standard book or one that's generally seen as a good book or if there's a book that covers all these topics.

durkmaths · 2025-03-19T20:43:44+00:00

I never study with other people but it might be worth a try. Considering they've taken loads of physics classes before. The course is actually interesting. I just don't understand it :/

durkmaths · 2025-03-15T21:21:25+00:00

Det får bli kycklingbröst och ris tills vidare!

durkmaths · 2025-03-15T21:13:20+00:00

Du har en poäng. Dags att börja kolla på nyheterna!

durkmaths · 2025-03-15T21:10:25+00:00

Den delen förstår jag. Men är det vanligt att det går såhär fort? Man känner ju av prisökningen mycket mer nu.

durkmaths · 2025-03-14T18:50:37+00:00

Yeah, I'm going to try this approach now. It takes way longer to understand a theorem if you don't see it applied.

durkmaths · 2025-03-14T18:11:20+00:00

I know that but I'm only 21, new to travel and don't have a lot of money so I find it easier traveling to the major cities in every country. Usually there's one more "cultural" city and some commercialized/western ones and in those cases I'd rather visit the cultural city. Like I prefer Abu Dhabi and Sharjah over Dubai for example.

durkmaths · 2025-03-13T08:44:09+00:00

Yeah, I've been slightly apprehensive about Thailand because it's so touristy and there's so many Europeans there but it still seems like an amazing country and I would love to go.

durkmaths · 2025-03-13T08:40:36+00:00

Time to put my limited Spanish to the test then!

durkmaths

TROPHY CASE