#import "template.typ": *
#show: ams-article.with(title: [Jif], authors: (
  (name: "<NAME>"),
  (name: "<NAME>"),
  (name: "<NAME>"),
), abstract: lorem(100), bibliography-file: "refs.bib")

#sc[```java
public class MyFunkyFlass {

  public static void main(String[] args) {
    System.out.println("Hello Illian")
  }

}

```]

#term(ps1: [`$`], input: [`ls -la`], output: [
`total 140
drwxr-xr-x. 1 null null    48 Nov 30 01:11 .
drwx------. 1 null null  1032 Dec  3 18:30 ..
-rw-r--r--. 1 null null 23093 Nov 30 00:40 s1.png
-rw-r--r--. 1 null null 26076 Nov 30 01:02 s2.png
-rw-r--r--. 1 null null 42784 Nov 30 01:18 s3.png
-rw-r--r--. 1 null null 42735 Nov 30 01:12 s4.png`
])
#showybox(
  frame: (
    border-color: red.darken(50%),
    title-color: red.lighten(60%),
    body-color: red.lighten(80%),
  ),
  title-style: (color: black, weight: "regular", align: center),
  shadow: (offset: 3pt),
  title: "Red-ish showybox with separated sections!",
  lorem(20),
  lorem(12),
)

Call me Ishmael. Some years ago --- never mind how long precisely --- having
little or no money in my purse, and nothing particular to interest me on shore,
I thought I would sail about a little and see the watery part of the world. It
is a way I have of driving off the spleen, and regulating the circulation.
Whenever I find myself growing grim about the mouth; whenever it is a damp,
drizzly November in my soul; whenever I find myself involuntarily pausing before
coffin warehouses, and bringing up the rear of every funeral I meet; and
especially whenever my hypos get such an upper hand of me, that it requires a
strong moral principle to prevent me from deliberately stepping into the street,
and methodically knocking people's hats off --- then, I account it high time to
get to sea as soon as I can. This is my substitute for pistol and ball. With a
philosophical flourish Cato throws himself upon his sword; I quietly take to the
ship. There is nothing surprising in this. If they but knew it, almost all men
in their degree, some time or other, cherish very nearly the same feelings
towards the ocean with me. @netwok2020

There now is your insular city of the Manhattoes, belted round by wharves as
Indian isles by coral reefs - commerce surrounds it with her surf. Right and
left, the streets take you waterward. Its extreme down-town is the battery,
where that noble mole is washed by waves, and cooled by breezes, which a few
hours previous were out of sight of land. Look at the crowds of water-gazers
there.

Anyone caught using formulas such as $sqrt(x+y)=sqrt(x)+sqrt(y)$
or $1/(x+y) = 1/x + 1/y$ will fail.

The binomial theorem is
$ (x+y)^n=sum_(k=0)^n binom(n, k) x^k y^(n-k). $

A favorite sum of most mathematicians is
$ sum_(n=1)^oo 1/n^2 = pi^2 / 6. $

Likewise a popular integral is
$ integral_(-oo)^oo e^(-x^2) dif x = sqrt(pi) $

#theorem[
  The square of any real number is non-negative.
]

#proof[
  Any real number $x$ satisfies $x > 0$, $x = 0$, or $x < 0$. If $x = 0$, then $x^2 = 0 >= 0$.
  If $x > 0$ then as a positive time a positive is positive we have $x^2 = x x > 0$.
  If $x < 0$ then $−x > 0$ and so by what we have just done $x^2 = (−x)^2 > 0$. So
  in all cases $x^2 ≥ 0$.
]

= Introduction
This is a new section. You can use tables like @solids.

#figure(table(
  columns: (1fr, auto, auto),
  inset: 5pt,
  align: horizon,
  [],
  [*Area*],
  [*Parameters*],
  [*Cylinder*],
  $ pi h (D^2 - d^2) / 4 $,
  [$h$: height \
    $D$: outer radius \
    $d$: inner radius],
  [*Tetrahedron*],
  $ sqrt(2) / 12 a^3 $,
  [$a$: edge length],
), caption: "Solids") <solids>

== Things that need to be done
Prove theorems.

= Background
#lorem(40)
