Typing latex

I have a few questions about typing LaTeX. However, I know the basics of LaTeX, but the answers to my following questions would help my LaTeX equations look better. Any kind of help is appreciated.

1) In certain submitted solutions I have seen the LaTeX equations to be aligned at the center instead of beside the text. Is there any code which aligns the equations at the center?

2) When I type summations or definite integrals in LaTeX, for example \sum{i=0}^{n} i^2 or \int{0}^{2 \pi} cos( \theta) d\theta, they appear respectively as $\sum_{i=0}^{n} i^2$ and $\int_{0}^{2 \pi} cos( \theta) d\theta$. Note that the subscripts and superscripts do not appear exactly above the $\sum$ or the $\int$ sign, but to a little right of them. However in some comments in Brilliant discussions, for example this one, I have seen that the superscripts and subscripts can be written directly above the mathematical signs. What is the code to do it?

I am asking it here only because I know it is possible, but the LaTeX guideline does not seem to answer it. Any kind of help will be appreciated. $☺$

Thanks!

Note by Sreejato Bhattacharya
6 years ago

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold
- bulleted- list
• bulleted
• list
1. numbered2. list
1. numbered
2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in $ ... $ or $ ... $ to ensure proper formatting.
2 \times 3 $2 \times 3$
2^{34} $2^{34}$
a_{i-1} $a_{i-1}$
\frac{2}{3} $\frac{2}{3}$
\sqrt{2} $\sqrt{2}$
\sum_{i=1}^3 $\sum_{i=1}^3$
\sin \theta $\sin \theta$
\boxed{123} $\boxed{123}$

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\displaystyle \sum_{i=0}^{n}i^2 in math brackets will appear as $\displaystyle \sum_{i=0}^{n}i^2$

- 6 years ago

$\displaystyle \sum_{i=0}^n i^2= \frac{n(n+1)(2n+1)}{6}$

Thanks!

The intention of display style is to let inline equations, i.e. those of the form \ ( \ ), be allowed to take up more than 1 line of space, for example $\displaystyle \sum_{i=0}^n i^2$. This could cause your paragraph of text to appear jumpy, since the subscripts and superscripts now require more line width, as you can see in this paragraph.

Conversely, since stand-along equations, i.e. those of the form \ [ \ ], already take up a chunk of their own space, and hence the equations (tend to) display as intended. It is not required to use \displaystyle (which you did in your code above)

Staff - 6 years ago

\ [ latex \ ] aligns in the center and on a new line while \ ( latex \ ) aligns right or with text. At least I think so.

- 6 years ago

\text{\sum\limits\_{i=0}^n i^2 } \implies \sum\limits_{i=0}^n i^2

- 6 years ago

Or use the $\LaTeX$ \displaystyle

- 3 years, 2 months ago

Now that your queries are answered, I would like to add that you can write "cos" in a neater way. Use \cos in your latex code i.e $\displaystyle \cos$. You see that it looks much better than simply writing "cos" in your code. The same works for other trig functions too.

Limits can be applied to a definite integral the same way you would do for a summation. $\int_{0}^{1} f(x) dx$

- 6 years ago

Now I have a tip for you, instead of just appending $dx$ to your integral, you should seperate it by \, like this:

\text{\int\_0^1 f(x) \, dx } \implies \int_0^1 f(x) \, dx

It's not really a big deal, but it does look a tiny bit nicer.

- 6 years ago

It does look better, thanks!

- 6 years ago

☺☺☺☺☺☺☺☺☺☺☺☺

- 3 years, 2 months ago