@Zophikel If you want to go through a topic fast just so you can use the main results I'd recommend video lectures. They are quick and if you can make notes well you'll do fine.
@shredalert, @SimplyBeautifulArt, @projectilemotion, @user21820 @Zophikel, @Fawad and everyone that stops in periodically, etc! TGIF! (Celebration that we've reached the end of a work-week!)
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That includes you, too, @Deedlit!
For me, at this moment, it is roughly just past the noon-hour, so I might be celebrating too early, by several hours. Oh, well, I deserve to end this week a tad early, so I can get an earlier start to the weekend! ;-)
@Zophikel Just practice a little bit. I believe the meta.math.site has a "sandbox" you can search for, where you can practice formatting, or do a rough draft of a question or answer. Once you get the hang of it, it becomes much more natural to do thereafter.
@Zophikel E.g. see this. Just look for an "answer" that says something to the effect of "being free to use." Which just means, you can practice whatever you'd like to with mathjax, and see the output.
@SimplyBeautifulArt I have a math buddy who when I talk to I can't just to the intuition but the rigor and I mean rigsourly define things If I can't give a precise definition to him it mean I don't know it
Hm, its good to have a math buddy... and I suppose we can't impose anything on him... but see if you can find an instance of an unintuitive rigorous definition that can still be intuitive without the full definition
Might actually be a good MSE question, though subject to be closed as off-topic or unclear
Not when talking I don't think, especially if everyone in the conversation feels comfortable already with the topic
It'd be like a coder speaking C+ to you. Everything is by 'definition', but it probably doesn't make a good conversation unless the other person knows what you mean
@Zophikel None of that is bad. The key thing is to know when you can talk intuitively about a math topic, and when to be more "rigorous". For example, in this chat room, you needn't worry about informal or intuitive descriptions or ways of communicating.
@Zophikel And, it is not at all bad to look up a definition, to cross-check yourself. (I do that all the time!)
This is the Realm of Simply Beautiful…
This is the Realm of Simply Beautiful…