auto-update(nvim): 2025-01-06 20:03:55
Some checks are pending
Deploy Quartz site to GitHub Pages using Nix / build (push) Waiting to run
Deploy Quartz site to GitHub Pages using Nix / deploy (push) Blocked by required conditions

This commit is contained in:
Youwen Wu 2025-01-06 20:03:55 -08:00
parent c8a445ee2d
commit 15f7d08901
Signed by: youwen5
GPG key ID: 865658ED1FE61EC3
4 changed files with 467 additions and 1 deletions

View file

@ -0,0 +1,320 @@
#import "@preview/ctheorems:1.1.3": *
#import "@preview/showybox:2.0.3": showybox
#let colors = (
rgb("#9E9E9E"),
rgb("#F44336"),
rgb("#E91E63"),
rgb("#9C27B0"),
rgb("#673AB7"),
rgb("#3F51B5"),
rgb("#2196F3"),
rgb("#03A9F4"),
rgb("#00BCD4"),
rgb("#009688"),
rgb("#4CAF50"),
rgb("#8BC34A"),
rgb("#CDDC39"),
rgb("#FFEB3B"),
rgb("#FFC107"),
rgb("#FF9800"),
rgb("#FF5722"),
rgb("#795548"),
rgb("#9E9E9E"),
)
#let dvdtyp(
title: "",
subtitle: "",
author: "",
abstract: none,
bibliography: none,
paper-size: "a4",
date: "today",
body,
) = {
set document(title: title, author: author)
set std.bibliography(style: "springer-mathphys", title: [References])
show: thmrules
set page(
numbering: "1",
number-align: center,
header: locate(loc => {
if loc.page() == 1 {
return
}
box(stroke: (bottom: 0.7pt), inset: 0.4em)[#text(
font: "New Computer Modern",
)[
*#author* --- #datetime.today().display("[day] [month repr:long] [year]")
#h(1fr)
*#title*
]]
}),
paper: paper-size,
// The margins depend on the paper size.
margin: (
left: (86pt / 216mm) * 100%,
right: (86pt / 216mm) * 100%,
),
)
set heading(numbering: "1.")
show heading: it => {
set text(font: "Libertinus Serif")
set par(first-line-indent: 0em)
if it.numbering != none {
text(rgb("#2196F3"), weight: 500)[#sym.section]
text(rgb("#2196F3"))[#counter(heading).display() ]
}
it.body
}
set text(font: "New Computer Modern", lang: "en")
show math.equation: set text(weight: 400)
// Title row.
align(center)[
#set text(font: "Libertinus Serif")
#block(text(weight: 700, 26pt, title))
#if subtitle != none [#text(12pt, weight: 500)[#(
subtitle
)]]
#if author != none [#text(16pt)[#smallcaps(author)]]
#v(1.2em, weak: true)
#if date == "today" {
datetime.today().display("[day] [month repr:long] [year]")
} else {
date
}
]
if abstract != none [
#v(2.2em)
#set text(font: "Libertinus Serif")
#pad(x: 14%, abstract)
#v(1em)
]
set outline(fill: repeat[~.], indent: 1em)
show outline: set heading(numbering: none)
show outline: set par(first-line-indent: 0em)
show outline.entry.where(level: 1): it => {
text(font: "Libertinus Serif", rgb("#2196F3"))[#strong[#it]]
}
show outline.entry: it => {
h(1em)
text(font: "Libertinus Serif", rgb("#2196F3"))[#it]
}
// Main body.
set par(
justify: true,
first-line-indent: 1em,
)
body
// Display the bibliography, if any is given.
if bibliography != none {
show std.bibliography: set text(footnote-size)
show std.bibliography: set block(above: 11pt)
show std.bibliography: pad.with(x: 0.5pt)
bibliography
}
}
#let thmtitle(t, color: rgb("#000000")) = {
return text(
font: "Libertinus Serif",
weight: "semibold",
fill: color,
)[#t]
}
#let thmname(t, color: rgb("#000000")) = {
return text(font: "Libertinus Serif", fill: color)[(#t)]
}
#let thmtext(t, color: rgb("#000000")) = {
let a = t.children
if (a.at(0) == [ ]) {
a.remove(0)
}
t = a.join()
return text(font: "New Computer Modern", fill: color)[#t]
}
#let thmbase(
identifier,
head,
..blockargs,
supplement: auto,
padding: (top: 0.5em, bottom: 0.5em),
namefmt: x => [(#x)],
titlefmt: strong,
bodyfmt: x => x,
separator: [#h(0.1em).#h(0.2em) \ ],
base: "heading",
base_level: none,
) = {
if supplement == auto {
supplement = head
}
let boxfmt(name, number, body, title: auto, ..blockargs_individual) = {
if not name == none {
name = [ #namefmt(name)]
} else {
name = []
}
if title == auto {
title = head
}
if not number == none {
title += " " + number
}
title = titlefmt(title)
body = bodyfmt(body)
pad(
..padding,
showybox(
width: 100%,
radius: 0.3em,
breakable: true,
padding: (top: 0em, bottom: 0em),
..blockargs.named(),
..blockargs_individual.named(),
[#title#name#titlefmt(separator)#body],
),
)
}
let auxthmenv = thmenv(
identifier,
base,
base_level,
boxfmt,
).with(supplement: supplement)
return auxthmenv.with(numbering: "1.1")
}
#let styled-thmbase = thmbase.with(
titlefmt: thmtitle,
namefmt: thmname,
bodyfmt: thmtext,
)
#let builder-thmbox(color: rgb("#000000"), ..builderargs) = styled-thmbase.with(
titlefmt: thmtitle.with(color: color.darken(30%)),
bodyfmt: thmtext.with(color: color.darken(70%)),
namefmt: thmname.with(color: color.darken(30%)),
frame: (
body-color: color.lighten(92%),
border-color: color.darken(10%),
thickness: 1.5pt,
inset: 1.2em,
radius: 0.3em,
),
..builderargs,
)
#let builder-thmline(
color: rgb("#000000"),
..builderargs,
) = styled-thmbase.with(
titlefmt: thmtitle.with(color: color.darken(30%)),
bodyfmt: thmtext.with(color: color.darken(70%)),
namefmt: thmname.with(color: color.darken(30%)),
frame: (
body-color: color.lighten(92%),
border-color: color.darken(10%),
thickness: (left: 2pt),
inset: 1.2em,
radius: 0em,
),
..builderargs,
)
#let problem-style = builder-thmbox(
color: colors.at(11),
shadow: (offset: (x: 2pt, y: 2pt), color: luma(70%)),
)
#let exercise = problem-style("item", "Exercise")
#let problem = exercise
#let theorem-style = builder-thmbox(
color: colors.at(6),
shadow: (offset: (x: 3pt, y: 3pt), color: luma(70%)),
)
#let example-style = builder-thmbox(
color: colors.at(16),
shadow: (offset: (x: 3pt, y: 3pt), color: luma(70%)),
)
#let theorem = theorem-style("item", "Theorem")
#let lemma = theorem-style("item", "Lemma")
#let corollary = theorem-style("item", "Corollary")
#let definition-style = builder-thmline(color: colors.at(8))
// #let definition = definition-style("definition", "Definition")
#let proposition = definition-style("item", "Proposition")
#let remark = definition-style("item", "Remark")
#let observation = definition-style("item", "Observation")
// #let example-style = builder-thmline(color: colors.at(16))
#let example = example-style("item", "Example")
#let proof(body, name: none) = {
thmtitle[Proof]
if name != none {
[ #thmname[#name]]
}
thmtitle[.]
body
h(1fr)
$square$
}
#let fact = thmplain(
"item",
"Fact",
titlefmt: strong,
separator: ".",
inset: 0pt,
)
#let abuse = thmplain(
"item",
"Abuse of Notation",
titlefmt: strong,
separator: ".",
inset: 0pt,
)
#let definition = thmplain(
"item",
"Definition",
titlefmt: strong,
separator: ".",
inset: 0pt,
)

View file

@ -0,0 +1,109 @@
#import "./dvd.typ": *
#show: dvdtyp.with(
title: "Pset 1",
author: "Youwen Wu",
)
#set heading(
numbering: (
num => {
return "1." + str(num)
}
),
)
Problems:
1.1: \#1ceij, 2c, 3cdeghjL, 4cdefh, 6, 7cg, 10ce, 11bei, 12a, 13
1.2: \#1bd, 2bd, 3, 5cfgh, 6bcg, 7be, 10bfg, 12bc, 13, 16cde
= Exercises
1. \
c. #[
$x/2$ is a rational number.
True.
] \
e. #[
Either $pi$ is rational and $17$ is a prime, or $7 < 13$ and $81$ is a perfect square.
True.
] \
i. #[
It is not the case that $39$ is prime, or that 64 is a power of 2.
False.
] \
j. #[
There are more than three false statements in this book, and this statement is one of them.
False.
]
2c. #[
$P$ is $5^2 + 12^2 = 13^2$ and $Q$ is $sqrt(2) + sqrt(3) = sqrt(2 + 3)$
$P and Q: "false"$
$P or Q: "true"$
]
3. #[
\
c. $P and not Q$
#[
#table(
columns: 3,
align: center,
[$P$], [$Q$], [$P and not Q$],
[T], [T], [F],
[T], [F], [T],
[F], [T], [F],
[F], [F], [F],
)
] \
d. $P and (Q or not Q)$
#[
#table(
columns: 5,
align: center,
[$P$], [$Q$], [$not Q$], [$Q or not Q$], [$P and (Q or not Q)$],
[T], [T], [F], [T], [T],
[T], [F], [T], [T], [T],
[F], [T], [F], [T], [F],
[F], [F], [T], [T], [F],
)
] \
e. $(P and Q) or not Q$ \
#[
#table(
columns: 5,
align: center,
[$P$], [$Q$], [$P and Q$], [$not Q$], [$(P and Q) or not Q$],
[T], [T], [T], [F], [T],
[F], [T], [F], [F], [F],
[T], [F], [F], [T], [T],
[F], [F], [F], [T], [T],
)
] \
g. $(P or S) and (P or K)$
#table(
columns: (1fr, 1fr, 1fr, 1fr, 1fr, 2fr),
align: center,
[$P$], [$S$], [$K$], [$P or S$], [$P or K$], [$(P or S) and (P or K)$],
[T], [T], [T], [T], [T], [T],
[T], [T], [F], [T], [T], [T],
[T], [F], [T], [T], [T], [T],
[T], [F], [F], [T], [T], [T],
[F], [T], [T], [T], [T], [T],
[F], [T], [F], [T], [F], [F],
[F], [F], [T], [F], [T], [T],
[F], [F], [F], [F], [F], [F],
)
]
= Exercises

View file

@ -0,0 +1,37 @@
{
pkgs,
typstPackagesCache,
typixLib,
cleanTypstSource,
flakeSelf,
...
}:
let
src = cleanTypstSource ./.;
commonArgs = {
typstSource = "main.typ";
fontPaths = [
# Add paths to fonts here
# "${pkgs.roboto}/share/fonts/truetype"
];
virtualPaths = [
# Add paths that must be locally accessible to typst here
# {
# dest = "icons";
# src = "${inputs.font-awesome}/svgs/regular";
# }
];
XDG_CACHE_HOME = typstPackagesCache;
SOURCE_DATE_EPOCH = builtins.toString flakeSelf.lastModified;
};
in
typixLib.buildTypstProject (
commonArgs
// {
inherit src;
}
)

View file

@ -283,7 +283,7 @@
// #let example-style = builder-thmline(color: colors.at(16)) // #let example-style = builder-thmline(color: colors.at(16))
#let example = example-style("item", "Example").with(numbering: none) #let example = example-style("item", "Example")
#let proof(body, name: none) = { #let proof(body, name: none) = {
thmtitle[Proof] thmtitle[Proof]