129 lines
3.9 KiB
Markdown
129 lines
3.9 KiB
Markdown
# jaebab
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Arbeitsblatt für JäB
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[typst](https://github.com/typst/typst). Import using
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```typst
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#import "@dev/jaebab:0.0.1": *
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#show: thmrules
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```
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<!--
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### Features
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- Numbered theorem environments can be created and customized.
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- Environments can share the same counter, via same `identifier`s.
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- Environment counters can be _attached_ (just as subheadings are attached to headings) to other environments, headings, or keep a global count via `base`.
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- The depth of a counter can be manually set, via `base_level`.
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- Environments can be `<label>`'d and `@reference`'d.
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- Awesome presets (coming soon!)
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## Manual and Examples
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Get acquainted with `ctheorems` by checking out the minimal example below!
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You can read the [manual](assets/manual.pdf) for a full walkthrough of functionality offered by this module; flick through [manual_examples](assets/manual_examples.pdf) to just see the examples.
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### Preamble
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```typst
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#import "@preview/ctheorems:1.1.3": *
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#show: thmrules.with(qed-symbol: $square$)
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#set page(width: 16cm, height: auto, margin: 1.5cm)
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#set heading(numbering: "1.1.")
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#let theorem = thmbox("theorem", "Theorem", fill: rgb("#eeffee"))
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#let corollary = thmplain(
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"corollary",
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"Corollary",
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base: "theorem",
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titlefmt: strong
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)
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#let definition = thmbox("definition", "Definition", inset: (x: 1.2em, top: 1em))
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#let example = thmplain("example", "Example").with(numbering: none)
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#let proof = thmproof("proof", "Proof")
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```
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### Document
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```typst
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= Prime numbers
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#definition[
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A natural number is called a #highlight[_prime number_] if it is greater
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than 1 and cannot be written as the product of two smaller natural numbers.
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]
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#example[
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The numbers $2$, $3$, and $17$ are prime.
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@cor_largest_prime shows that this list is not exhaustive!
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]
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#theorem("Euclid")[
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There are infinitely many primes.
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]
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#proof[
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Suppose to the contrary that $p_1, p_2, dots, p_n$ is a finite enumeration
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of all primes. Set $P = p_1 p_2 dots p_n$. Since $P + 1$ is not in our list,
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it cannot be prime. Thus, some prime factor $p_j$ divides $P + 1$. Since
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$p_j$ also divides $P$, it must divide the difference $(P + 1) - P = 1$, a
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contradiction.
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]
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#corollary[
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There is no largest prime number.
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] <cor_largest_prime>
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#corollary[
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There are infinitely many composite numbers.
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]
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#theorem[
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There are arbitrarily long stretches of composite numbers.
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]
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#proof[
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For any $n > 2$, consider $
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n! + 2, quad n! + 3, quad ..., quad n! + n #qedhere
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$
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]
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```
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## Changelog
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### v1.1.3
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- Fixed alignment and block-breaking issues resulting from breaking changes
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in Typst 0.12.
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### v1.1.2
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- Introduced the `thmproof` function for creating proof environments.
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- Inserting `#qedhere` in a block equation/list/enum item (in a proof) places
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the qed symbol on the same line. The qed symbol can be customized via
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`thmrules`.
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### v1.1.1
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- Extra named arguments given to a theorem environment produced by `thmbox` (or `thmplain`) are passed to `block`.
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### v1.1.0
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- The `supplement` (for references) is no longer set in `thmenv`. It can be passed to the theorem environment directly, along with `refnumbering` to control the appearance of `@reference`s.
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- Extra named arguments given to `thmbox` are passed to `block`.
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- Fixed spacing bug for unnumbered environments.
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- Replaced dummy figure with labelled metadata.
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### v1.0.0
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- Extra named arguments given to a theorem environment are passed to its formatting function `fmt`.
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- Removed `thmref`, introduced normal `<label>`s and `@reference`s.
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- Import must be followed by `show: thmrules`.
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- Removed `name: ...` from theorem environments; use `#theorem("Euclid")[]` instead of `#theorem(name: "Euclid")[]`.
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- Theorems are now wrapped in `figure`s.
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## Credits
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- [sahasatvik (Satvik Saha)](https://github.com/sahasatvik)
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- [MJHutchinson (Michael Hutchinson)](https://github.com/MJHutchinson)
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- [rmolinari (Rory Molinari)](https://github.com/rmolinari)
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- [PgBiel](https://github.com/PgBiel)
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- [DVDTSB](https://github.com/DVDTSB)-->
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