Sorry for the lack of clarity. I think most of my confusion stems from 
this: Is the main way to use Sage through the Sage Math Cloud? What exactly 
would the purpose be for using is through the terminal at all? 

In my head, I was imagining using sage similarly to how I program in vim. 
Id sign in to my username through Sage on my desktops terminal, have access 
to all of my online files, be able to edit them in the terminal(or, if I 
want, open those files in the Sage Notebook), and then I would save on my 
desktop and it would push those edits through to the Sage Math Cloud, 
therefore syncing my desktops version with the Cloud version. Then, if I'm 
on the go and don't have access to my normal computer, I could simply edit 
my code from the browser if I wanted to. But, the more I read, the more I 
feel like all of that is a misconception on my part. It seems like the main 
focus of Sage is to using it through your web browser(which is very 
different from something like Mathematica). Is that correct? If so, then 
why would you use/install Sage on your desktop or use it through the 
terminal?


> I really am very new, so all I've seen so far is that when I run 
> > the command notebook(), it opens up a local server of Sagenb(I 
> > think). 
>
> This is I do not understand, maybe you want to clarify further. 


I just meant that, when I'm on my desktop terminal, running Sage, and i 
type "notebook()", it seems to open up a locally hosted Sage Notebook. Not 
knowing how it worked, I think I was expecting it to somehow ask for my 
username and password, and open up the project on Sage Math Cloud. It just 
surprised me that it opened up a Sage Notebook because, from what I can 
tell from reading, it seems like the use of Sage Notebook is outdated now, 
and it seems like the focus has shifted to the SMC. Is there a reason to 
bother installing Sage and opening a notebook through the terminal? Or is 
it becoming more of a relic? 

I hope my question is a bit more clear this time, however if it's not, I 
will try my best to explain further!

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