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✨ Add MathJax support

+165 -158
+6
blog.go
··· 8 8 "strings" 9 9 10 10 "github.com/ewen-lbh/portfolio/shared" 11 + "github.com/litao91/goldmark-mathjax" 11 12 "github.com/yuin/goldmark" 12 13 highlighting "github.com/yuin/goldmark-highlighting/v2" 13 14 "github.com/yuin/goldmark/extension" ··· 25 26 extension.TaskList, 26 27 &frontmatter.Extender{}, 27 28 highlighting.Highlighting, 29 + mathjax.MathJax, 28 30 )) 29 31 30 32 func loadBlogEntries(searchIn string) (entries []shared.BlogEntry, err error) { ··· 55 57 56 58 entry.Slug = strings.TrimSuffix(file.Name(), filepath.Ext(file.Name())) 57 59 entry.Content = out.String() 60 + 61 + if entry.MathJax { 62 + entry.Content += `<script id="MathJax-script" async src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js"></script>` 63 + } 58 64 59 65 entries = append(entries, entry) 60 66 }
+146
blog/on-applying-repeated-operators-to-the-empty-set.md
··· 1 + --- 2 + date: 2024-05-15 3 + title: On Applying Repeated Operators to the Empty Set 4 + tags: [math] 5 + mathjax: yes 6 + --- 7 + 8 + 9 + This is a sort of "theorem" that I made up in my mind has been itching me since my years in higher math education. 10 + 11 + ## Context 12 + 13 + Let $E$ a set and $o \in E^2 \to E$, such that $(E, o)$ forms a [monoid](https://en.wikipedia.org/wiki/Monoid). 14 + 15 + We then define $\mathcal O$ as the _repeated variant_ of the binary operator $o$: 16 + 17 + $$ 18 + \begin{align*} 19 + \mathcal O : E^\mathbb N &\to E \\ 20 + (a_n)_n &\mapsto a_0\ o\ a_1\ o\ a_2\ o\ \ldots\ o\ a_n 21 + \end{align*} 22 + $$ 23 + 24 + using an infix notation for $o$, defined as you would expect: $A\ o\ B = o(A, B)$. 25 + 26 + 27 + This is why we need $(E, o)$ to be a monoid, instead of a unital magma: we need the operator to be associative, so that the repeated application of the operator is well-defined. 28 + 29 + Note how repeated operators have their argument in a sequence space instead of a set. This is because: 30 + 31 + 1. we need to _iterate_ over the elements, which requires a well-defined order on the elements (otherwise, we would need $o$ to be commutative and therefore $(E, o)$ to be a group instead of just a monoid) 32 + 1. We also want to be able to represent repeated operations on duplicates, which sets cannot represent. 33 + 34 + 35 + ## Theorem 36 + 37 + For any repeated operator $\mathcal O$: 38 + 39 + $$ 40 + \mathcal O(()) = \operatorname{unit} E 41 + $$ 42 + 43 + where $\operatorname{unit} E$ is the unit element of the monoid $(E, o)$. 44 + 45 + ## Application to ∀ and ∃ 46 + 47 + This looks really abstract right now, but consider the two statements that we (at least in France) are told to be "self-evident": 48 + 49 + - For any proposition $\mathcal P$, $\forall e \in \emptyset,\ \mathcal P(e)$ is true 50 + - For any proposition $\mathcal P$, $\exists e \in \emptyset,\ \mathcal P(e)$ is false 51 + 52 + But $\forall$ (resp. $\exists$) are just syntactic sugar for the repeated variants of the logical and $\land$ (resp. logical or $\lor$) operators. So, in fact, the two statements are equivalent to: 53 + 54 + - For any proposition $\mathcal P$, $\bigwedge_{e \in \emptyset} \mathcal P(e)$ is true 55 + - For any proposition $\mathcal P$, $\bigvee_{e \in \emptyset} \mathcal P(e)$ is false 56 + 57 + Now, we can prove these statements with the preceding theorem: 58 + 59 + 1. $\bigwedge$ is the repeated variant of $\land$. 60 + 1. $(\{\top, \bot\}, \land)$ is a monoid: 61 + - $\land$ is a binary operation on $\{\top, \bot\}$. 62 + - $\land$ is associative: $a \land (b \land c) = (a \land b) \land c$. 63 + - $\land$ has a unit element $\top$ (as $a \land \top = a$ for any $a$) and $\top \in \{\top, \bot\}$. 64 + 1. $\operatorname{unit} \{\top, \bot\} = \top$. 65 + 66 + Therefore, $\bigwedge(()) = \top$. 67 + 68 + ## Adapting conventional set notation 69 + 70 + You'll have noticed how the previous statement is kind of akwardly written: we say $\mathcal O(()) = \ldots$ instead of the much more usual notations, $\mathcal O_{a \in \emptyset} a = \ldots$ or $\mathcal O_{\emptyset} = \ldots$. 71 + 72 + This is because we decided to model the repeated operators as functions over sequences, instead of sets. 73 + 74 + But, as long as the set is ordered, we can trivially adapt the notation: 75 + 76 + Let $(E, \geq)$ an ordered set and $o$ a binary operator such that $(E, o)$ forms a monoid. 77 + 78 + We define the set-to-sequence function $\operatorname{seq}$ as: 79 + 80 + $$ 81 + \begin{align*} 82 + \operatorname{seq} : \mathcal P(E) &\to E^\mathbb N \\ 83 + \emptyset &\mapsto () \\ 84 + \{a\} &\mapsto (a) \\ 85 + \{a\} \cup A &\mapsto \operatorname{seq}(\{ e \in A | e \lt a \}) \sqcup \{a\} \sqcup \operatorname{seq}(\{ e \in A | e \geq a \}) 86 + \end{align*} 87 + $$ 88 + 89 + You'll notice that $\operatorname{seq}$ is basically a [quicksort](https://en.wikipedia.org/wiki/Quicksort) algorithm. 90 + 91 + The interesting thing to note though, is that the function is _not_ bijective, as converting a sequence back to a set would require dropping duplicates. But most usages of repeated operators don't operate on duplicate elements anyways. 92 + 93 + With that said, we can overload the notation of $\mathcal O$ to accept sets: 94 + 95 + $$ 96 + \forall P \in \mathcal P(E), \quad \mathcal O_P := \mathcal O(\operatorname{seq}(P)) 97 + $$ 98 + 99 + Then, we can finally state: 100 + 101 + $$ 102 + \begin{align*} 103 + \bigwedge_\emptyset &= \top \\ 104 + \bigvee_\emptyset &= \bot 105 + \end{align*} 106 + $$ 107 + 108 + ## Proof 109 + 110 + The proof is actually reaaaally trivial, that's why I put "theorem" in quotes in the introduction. It's more of a way to have fun with (excessive?) formalization of simple things haha 111 + 112 + Anyway, here is the proof. 113 + 114 + Let $E$ a set and $o \in E^2 \to E$ such that $(E, o)$ is a monoid. Let $\mathcal O$ be the repeated variant of $o$ and $e$ the unit element of $(E, o)$. 115 + 116 + **Proof by contradiction.** 117 + 118 + Assume that $\mathcal O(()) \neq e$. 119 + 120 + Then: 121 + 122 + $$ 123 + \begin{align*} 124 + \mathcal O((a_1)) &= \mathcal O((a_1) \sqcup ()) \\ 125 + &= a_1\ o\ \mathcal O(()) \\ 126 + \end{align*} 127 + $$ 128 + 129 + But we also have, by definition: $\mathcal O((a_1)) = a_1 = a_1\ o\ e$. 130 + 131 + We thus have $e = \mathcal O(())$, which is a contradiction. 132 + 133 + So, $\mathcal O(()) = e$. 134 + 135 + ## Applications 136 + 137 + | Operation | Application | | 138 + | --------- | ------------------------------------------------------ |-- | 139 + | $+$ | $\sum_\emptyset = 0$ | | 140 + | $\cdot$ | $\prod_\emptyset = 1$ | | 141 + | $\max$ | $\max_\emptyset = -\infty$ | | 142 + | $\min$ | $\min_\emptyset = \infty$ | | 143 + | $\land$ | $\forall \emptyset = \top$ | | 144 + | $\lor$ | $\exists \emptyset = \bot$ | | 145 + | $\cup$ | $\bigcup_\emptyset = \emptyset$ | | 146 + | $\cap$ | $\bigcap_\emptyset = \mathbb U$ | where $\mathbb U$ is the universe set |
+2 -19
go.mod
··· 13 13 github.com/metal3d/go-slugify v0.0.0-20160607203414-7ac2014b2f23 14 14 github.com/ortfo/db v1.6.1 15 15 github.com/ortfo/gettext v1.0.3 16 + github.com/yuin/goldmark v1.7.1 16 17 golang.org/x/net v0.24.0 17 18 golang.org/x/text v0.14.0 18 19 gopkg.in/mail.v2 v2.3.1 ··· 20 21 ) 21 22 22 23 require ( 23 - cdr.dev/slog v1.6.1 // indirect 24 24 github.com/BurntSushi/toml v1.2.1 // indirect 25 - github.com/FurqanSoftware/goldmark-d2 v0.0.0-20240222042550-23ef2a4e585c // indirect 26 25 github.com/alecthomas/chroma v0.10.0 // indirect 27 26 github.com/alecthomas/chroma/v2 v2.13.0 // indirect 28 27 github.com/dlclark/regexp2 v1.11.0 // indirect 29 - github.com/dop251/goja v0.0.0-20240220182346-e401ed450204 // indirect 30 - github.com/go-sourcemap/sourcemap v2.1.4+incompatible // indirect 31 - github.com/golang/freetype v0.0.0-20170609003504-e2365dfdc4a0 // indirect 32 - github.com/golang/groupcache v0.0.0-20210331224755-41bb18bfe9da // indirect 33 - github.com/google/pprof v0.0.0-20240424215950-a892ee059fd6 // indirect 34 - github.com/mazznoer/csscolorparser v0.1.3 // indirect 35 - github.com/yuin/goldmark v1.7.1 // indirect 36 28 github.com/yuin/goldmark-highlighting v0.0.0-20220208100518-594be1970594 // indirect 37 29 github.com/zyedidia/generic v1.2.1 // indirect 38 - go.opencensus.io v0.24.0 // indirect 39 - go.opentelemetry.io/otel v1.26.0 // indirect 40 - go.opentelemetry.io/otel/trace v1.26.0 // indirect 41 30 golang.org/x/exp v0.0.0-20240416160154-fe59bbe5cc7f // indirect 42 - golang.org/x/xerrors v0.0.0-20231012003039-104605ab7028 // indirect 43 - gonum.org/v1/plot v0.14.0 // indirect 44 31 mvdan.cc/xurls/v2 v2.5.0 // indirect 45 - oss.terrastruct.com/d2 v0.6.5 // indirect 46 - oss.terrastruct.com/util-go v0.0.0-20231101220827-55b3812542c2 // indirect 47 32 ) 48 33 49 34 require ( ··· 57 42 github.com/atotto/clipboard v0.1.4 // indirect 58 43 github.com/aymanbagabas/go-osc52/v2 v2.0.1 // indirect 59 44 github.com/bahlo/generic-list-go v0.2.0 // indirect 60 - github.com/bmatcuk/doublestar/v4 v4.6.1 // indirect 61 45 github.com/buger/jsonparser v1.1.1 // indirect 62 46 github.com/catppuccin/go v0.2.0 // indirect 63 47 github.com/charmbracelet/bubbles v0.18.0 // indirect 64 48 github.com/charmbracelet/bubbletea v0.25.0 // indirect 65 49 github.com/charmbracelet/huh v0.3.0 // indirect 66 50 github.com/charmbracelet/lipgloss v0.10.0 // indirect 67 - github.com/codesoap/rss2 v0.1.0 68 51 github.com/containerd/console v1.0.4 // indirect 69 52 github.com/gabriel-vasile/mimetype v1.4.3 // indirect 70 53 github.com/go-git/gcfg v1.5.1-0.20230307220236-3a3c6141e376 // indirect 71 54 github.com/go-git/go-billy/v5 v5.5.0 // indirect 72 55 github.com/go-git/go-git/v5 v5.12.0 // indirect 73 - github.com/gomarkdown/markdown v0.0.0-20240328165702-4d01890c35c0 // indirect 74 56 github.com/google/uuid v1.6.0 // indirect 75 57 github.com/gorilla/feeds v1.1.2 76 58 github.com/gosuri/uilive v0.0.4 // indirect ··· 84 66 github.com/json-iterator/go v1.1.12 // indirect 85 67 github.com/k3a/html2text v1.2.1 // indirect 86 68 github.com/lafriks/go-svg v0.4.0 // indirect 69 + github.com/litao91/goldmark-mathjax v0.0.0-20210217064022-a43cf739a50f 87 70 github.com/lucasb-eyer/go-colorful v1.2.0 // indirect 88 71 github.com/mailru/easyjson v0.7.7 // indirect 89 72 github.com/mattn/go-colorable v0.1.13 // indirect
+9 -138
go.sum
··· 1 - cdr.dev/slog v1.6.1 h1:IQjWZD0x6//sfv5n+qEhbu3wBkmtBQY5DILXNvMaIv4= 2 - cdr.dev/slog v1.6.1/go.mod h1:eHEYQLaZvxnIAXC+XdTSNLb/kgA/X2RVSF72v5wsxEI= 3 - cloud.google.com/go v0.26.0/go.mod h1:aQUYkXzVsufM+DwF1aE+0xfcU+56JwCaLick0ClmMTw= 4 - github.com/BurntSushi/toml v0.3.1/go.mod h1:xHWCNGjB5oqiDr8zfno3MHue2Ht5sIBksp03qcyfWMU= 5 1 github.com/BurntSushi/toml v1.2.1 h1:9F2/+DoOYIOksmaJFPw1tGFy1eDnIJXg+UHjuD8lTak= 6 2 github.com/BurntSushi/toml v1.2.1/go.mod h1:CxXYINrC8qIiEnFrOxCa7Jy5BFHlXnUU2pbicEuybxQ= 7 3 github.com/EdlinOrg/prominentcolor v1.0.0 h1:sQNY8Dtsv3PK3J1LbmrDmtlZm9Y9U8Loi1iZIl4YN3Y= 8 4 github.com/EdlinOrg/prominentcolor v1.0.0/go.mod h1:mYmDsxfcmBz6izH/SqtSzfsUiZdPNPpPgUPKCZq70KQ= 9 - github.com/FurqanSoftware/goldmark-d2 v0.0.0-20240222042550-23ef2a4e585c h1:lkvzSLfTKUAk/tc2RLD4Ibgk3xVMxUwp9VkOVyO/+vA= 10 - github.com/FurqanSoftware/goldmark-d2 v0.0.0-20240222042550-23ef2a4e585c/go.mod h1:oT5hllDAs21uHEC9PKpf80k5WDraw2omGwa4pNYXb2g= 11 5 github.com/JohannesKaufmann/html-to-markdown v1.5.0 h1:cEAcqpxk0hUJOXEVGrgILGW76d1GpyGY7PCnAaWQyAI= 12 6 github.com/JohannesKaufmann/html-to-markdown v1.5.0/go.mod h1:QTO/aTyEDukulzu269jY0xiHeAGsNxmuUBo2Q0hPsK8= 13 7 github.com/Masterminds/goutils v1.1.1 h1:5nUrii3FMTL5diU80unEVvNevw1nH4+ZV4DSLVJLSYI= ··· 22 16 github.com/PuerkitoBio/goquery v1.9.1/go.mod h1:cW1n6TmIMDoORQU5IU/P1T3tGFunOeXEpGP2WHRwkbY= 23 17 github.com/a-h/templ v0.2.663 h1:aa0WMm27InkYHGjimcM7us6hJ6BLhg98ZbfaiDPyjHE= 24 18 github.com/a-h/templ v0.2.663/go.mod h1:SA7mtYwVEajbIXFRh3vKdYm/4FYyLQAtPH1+KxzGPA8= 19 + github.com/alecthomas/assert/v2 v2.6.0 h1:o3WJwILtexrEUk3cUVal3oiQY2tfgr/FHWiz/v2n4FU= 20 + github.com/alecthomas/assert/v2 v2.6.0/go.mod h1:Bze95FyfUr7x34QZrjL+XP+0qgp/zg8yS+TtBj1WA3k= 25 21 github.com/alecthomas/chroma v0.10.0 h1:7XDcGkCQopCNKjZHfYrNLraA+M7e0fMiJ/Mfikbfjek= 26 22 github.com/alecthomas/chroma v0.10.0/go.mod h1:jtJATyUxlIORhUOFNA9NZDWGAQ8wpxQQqNSB4rjA/1s= 27 - github.com/alecthomas/chroma/v2 v2.2.0 h1:Aten8jfQwUqEdadVFFjNyjx7HTexhKP0XuqBG67mRDY= 28 23 github.com/alecthomas/chroma/v2 v2.2.0/go.mod h1:vf4zrexSH54oEjJ7EdB65tGNHmH3pGZmVkgTP5RHvAs= 29 24 github.com/alecthomas/chroma/v2 v2.13.0 h1:VP72+99Fb2zEcYM0MeaWJmV+xQvz5v5cxRHd+ooU1lI= 30 25 github.com/alecthomas/chroma/v2 v2.13.0/go.mod h1:BUGjjsD+ndS6eX37YgTchSEG+Jg9Jv1GiZs9sqPqztk= 31 26 github.com/alecthomas/repr v0.0.0-20220113201626-b1b626ac65ae/go.mod h1:2kn6fqh/zIyPLmm3ugklbEi5hg5wS435eygvNfaDQL8= 27 + github.com/alecthomas/repr v0.4.0 h1:GhI2A8MACjfegCPVq9f1FLvIBS+DrQ2KQBFZP1iFzXc= 28 + github.com/alecthomas/repr v0.4.0/go.mod h1:Fr0507jx4eOXV7AlPV6AVZLYrLIuIeSOWtW57eE/O/4= 32 29 github.com/alessio/shellescape v1.4.2 h1:MHPfaU+ddJ0/bYWpgIeUnQUqKrlJ1S7BfEYPM4uEoM0= 33 30 github.com/alessio/shellescape v1.4.2/go.mod h1:PZAiSCk0LJaZkiCSkPv8qIobYglO3FPpyFjDCtHLS30= 34 31 github.com/anaskhan96/soup v1.2.5 h1:V/FHiusdTrPrdF4iA1YkVxsOpdNcgvqT1hG+YtcZ5hM= ··· 42 39 github.com/aymanbagabas/go-osc52/v2 v2.0.1/go.mod h1:uYgXzlJ7ZpABp8OJ+exZzJJhRNQ2ASbcXHWsFqH8hp8= 43 40 github.com/bahlo/generic-list-go v0.2.0 h1:5sz/EEAK+ls5wF+NeqDpk5+iNdMDXrh3z3nPnH1Wvgk= 44 41 github.com/bahlo/generic-list-go v0.2.0/go.mod h1:2KvAjgMlE5NNynlg/5iLrrCCZ2+5xWbdbCW3pNTGyYg= 45 - github.com/bmatcuk/doublestar/v4 v4.6.1 h1:FH9SifrbvJhnlQpztAx++wlkk70QBf0iBWDwNy7PA4I= 46 - github.com/bmatcuk/doublestar/v4 v4.6.1/go.mod h1:xBQ8jztBU6kakFMg+8WGxn0c6z1fTSPVIjEY1Wr7jzc= 47 42 github.com/buger/jsonparser v1.1.1 h1:2PnMjfWD7wBILjqQbt530v576A/cAbQvEW9gGIpYMUs= 48 43 github.com/buger/jsonparser v1.1.1/go.mod h1:6RYKKt7H4d4+iWqouImQ9R2FZql3VbhNgx27UK13J/0= 49 44 github.com/catppuccin/go v0.2.0 h1:ktBeIrIP42b/8FGiScP9sgrWOss3lw0Z5SktRoithGA= 50 45 github.com/catppuccin/go v0.2.0/go.mod h1:8IHJuMGaUUjQM82qBrGNBv7LFq6JI3NnQCF6MOlZjpc= 51 - github.com/census-instrumentation/opencensus-proto v0.2.1/go.mod h1:f6KPmirojxKA12rnyqOA5BBL4O983OfeGPqjHWSTneU= 52 46 github.com/charmbracelet/bubbles v0.18.0 h1:PYv1A036luoBGroX6VWjQIE9Syf2Wby2oOl/39KLfy0= 53 47 github.com/charmbracelet/bubbles v0.18.0/go.mod h1:08qhZhtIwzgrtBjAcJnij1t1H0ZRjwHyGsy6AL11PSw= 54 48 github.com/charmbracelet/bubbletea v0.25.0 h1:bAfwk7jRz7FKFl9RzlIULPkStffg5k6pNt5dywy4TcM= ··· 57 51 github.com/charmbracelet/huh v0.3.0/go.mod h1:fujUdKX8tC45CCSaRQdw789O6uaCRwx8l2NDyKfC4jA= 58 52 github.com/charmbracelet/lipgloss v0.10.0 h1:KWeXFSexGcfahHX+54URiZGkBFazf70JNMtwg/AFW3s= 59 53 github.com/charmbracelet/lipgloss v0.10.0/go.mod h1:Wig9DSfvANsxqkRsqj6x87irdy123SR4dOXlKa91ciE= 60 - 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golang.org/x/net v0.0.0-20190404232315-eb5bcb51f2a3/go.mod h1:t9HGtf8HONx5eT2rtn7q6eTqICYqUVnKs3thJo3Qplg= 345 261 golang.org/x/net v0.0.0-20190620200207-3b0461eec859/go.mod h1:z5CRVTTTmAJ677TzLLGU+0bjPO0LkuOLi4/5GtJWs/s= 346 262 golang.org/x/net v0.0.0-20200114155413-6afb5195e5aa/go.mod h1:z5CRVTTTmAJ677TzLLGU+0bjPO0LkuOLi4/5GtJWs/s= 347 - golang.org/x/net v0.0.0-20201110031124-69a78807bb2b/go.mod h1:sp8m0HH+o8qH0wwXwYZr8TS3Oi6o0r6Gce1SSxlDquU= 348 263 golang.org/x/net v0.0.0-20210226172049-e18ecbb05110/go.mod h1:m0MpNAwzfU5UDzcl9v0D8zg8gWTRqZa9RBIspLL5mdg= 349 264 golang.org/x/net v0.0.0-20210916014120-12bc252f5db8/go.mod h1:9nx3DQGgdP8bBQD5qxJ1jj9UTztislL4KSBs9R2vV5Y= 350 265 golang.org/x/net v0.0.0-20220722155237-a158d28d115b/go.mod h1:XRhObCWvk6IyKnWLug+ECip1KBveYUHfp+8e9klMJ9c= ··· 356 271 golang.org/x/net v0.19.0/go.mod h1:CfAk/cbD4CthTvqiEl8NpboMuiuOYsAr/7NOjZJtv1U= 357 272 golang.org/x/net v0.24.0 h1:1PcaxkF854Fu3+lvBIx5SYn9wRlBzzcnHZSiaFFAb0w= 358 273 golang.org/x/net v0.24.0/go.mod h1:2Q7sJY5mzlzWjKtYUEXSlBWCdyaioyXzRB2RtU8KVE8= 359 - 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golang.org/x/sys v0.0.0-20190412213103-97732733099d/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs= 370 - golang.org/x/sys v0.0.0-20200930185726-fdedc70b468f/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs= 371 280 golang.org/x/sys v0.0.0-20201119102817-f84b799fce68/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs= 372 281 golang.org/x/sys v0.0.0-20210423082822-04245dca01da/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs= 373 282 golang.org/x/sys v0.0.0-20210615035016-665e8c7367d1/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg= 374 - golang.org/x/sys v0.0.0-20220310020820-b874c991c1a5/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg= 375 283 golang.org/x/sys v0.0.0-20220520151302-bc2c85ada10a/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg= 376 284 golang.org/x/sys v0.0.0-20220722155257-8c9f86f7a55f/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg= 377 285 golang.org/x/sys v0.0.0-20220811171246-fbc7d0a398ab/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg= ··· 397 305 golang.org/x/text v0.3.3/go.mod h1:5Zoc/QRtKVWzQhOtBMvqHzDpF6irO9z98xDceosuGiQ= 398 306 golang.org/x/text v0.3.6/go.mod h1:5Zoc/QRtKVWzQhOtBMvqHzDpF6irO9z98xDceosuGiQ= 399 307 golang.org/x/text v0.3.7/go.mod h1:u+2+/6zg+i71rQMx5EYifcz6MCKuco9NR6JIITiCfzQ= 400 - golang.org/x/text v0.3.8/go.mod h1:E6s5w1FMmriuDzIBO73fBruAKo1PCIq6d2Q6DHfQ8WQ= 401 308 golang.org/x/text v0.4.0/go.mod h1:mrYo+phRRbMaCq/xk9113O4dZlRixOauAjOtrjsXDZ8= 402 309 golang.org/x/text v0.7.0/go.mod h1:mrYo+phRRbMaCq/xk9113O4dZlRixOauAjOtrjsXDZ8= 403 310 golang.org/x/text v0.9.0/go.mod h1:e1OnstbJyHTd6l/uOt8jFFHp6TRDWZR/bV3emEE/zU8= 404 311 golang.org/x/text v0.14.0 h1:ScX5w1eTa3QqT8oi6+ziP7dTV1S2+ALU0bI+0zXKWiQ= 405 312 golang.org/x/text v0.14.0/go.mod h1:18ZOQIKpY8NJVqYksKHtTdi31H5itFRjB5/qKTNYzSU= 406 313 golang.org/x/tools v0.0.0-20180917221912-90fa682c2a6e/go.mod h1:n7NCudcB/nEzxVGmLbDWY5pfWTLqBcC2KZ6jyYvM4mQ= 407 - golang.org/x/tools v0.0.0-20190114222345-bf090417da8b/go.mod h1:n7NCudcB/nEzxVGmLbDWY5pfWTLqBcC2KZ6jyYvM4mQ= 408 - golang.org/x/tools v0.0.0-20190226205152-f727befe758c/go.mod h1:9Yl7xja0Znq3iFh3HoIrodX9oNMXvdceNzlUR8zjMvY= 409 - golang.org/x/tools v0.0.0-20190311212946-11955173bddd/go.mod h1:LCzVGOaR6xXOjkQ3onu1FJEFr0SW1gC7cKk1uF8kGRs= 410 314 golang.org/x/tools v0.0.0-20190328211700-ab21143f2384/go.mod h1:LCzVGOaR6xXOjkQ3onu1FJEFr0SW1gC7cKk1uF8kGRs= 411 - golang.org/x/tools v0.0.0-20190524140312-2c0ae7006135/go.mod h1:RgjU9mgBXZiqYHBnxXauZ1Gv1EHHAz9KjViQ78xBX0Q= 412 315 golang.org/x/tools v0.0.0-20191119224855-298f0cb1881e/go.mod h1:b+2E5dAYhXwXZwtnZ6UAqBI28+e2cm9otk0dWdXHAEo= 413 316 golang.org/x/tools v0.1.12/go.mod h1:hNGJHUnrk76NpqgfD5Aqm5Crs+Hm0VOH/i9J2+nxYbc= 414 317 golang.org/x/tools v0.6.0/go.mod h1:Xwgl3UAJ/d3gWutnCtw505GrjyAbvKui8lOU390QaIU= 415 318 golang.org/x/xerrors v0.0.0-20190717185122-a985d3407aa7/go.mod h1:I/5z698sn9Ka8TeJc9MKroUUfqBBauWjQqLJ2OPfmY0= 416 - golang.org/x/xerrors v0.0.0-20191204190536-9bdfabe68543/go.mod h1:I/5z698sn9Ka8TeJc9MKroUUfqBBauWjQqLJ2OPfmY0= 417 - golang.org/x/xerrors v0.0.0-20231012003039-104605ab7028 h1:+cNy6SZtPcJQH3LJVLOSmiC7MMxXNOb3PU/VUEz+EhU= 418 - golang.org/x/xerrors v0.0.0-20231012003039-104605ab7028/go.mod h1:NDW/Ps6MPRej6fsCIbMTohpP40sJ/P/vI1MoTEGwX90= 419 - gonum.org/v1/plot v0.14.0 h1:+LBDVFYwFe4LHhdP8coW6296MBEY4nQ+Y4vuUpJopcE= 420 - gonum.org/v1/plot v0.14.0/go.mod h1:MLdR9424SJed+5VqC6MsouEpig9pZX2VZ57H9ko2bXU= 421 - google.golang.org/appengine v1.1.0/go.mod h1:EbEs0AVv82hx2wNQdGPgUI5lhzA/G0D9YwlJXL52JkM= 422 - google.golang.org/appengine v1.4.0/go.mod h1:xpcJRLb0r/rnEns0DIKYYv+WjYCduHsrkT7/EB5XEv4= 423 - google.golang.org/genproto v0.0.0-20180817151627-c66870c02cf8/go.mod h1:JiN7NxoALGmiZfu7CAH4rXhgtRTLTxftemlI0sWmxmc= 424 - google.golang.org/genproto v0.0.0-20190819201941-24fa4b261c55/go.mod h1:DMBHOl98Agz4BDEuKkezgsaosCRResVns1a3J2ZsMNc= 425 - google.golang.org/genproto v0.0.0-20200526211855-cb27e3aa2013/go.mod h1:NbSheEEYHJ7i3ixzK3sjbqSGDJWnxyFXZblF3eUsNvo= 426 - google.golang.org/grpc v1.19.0/go.mod h1:mqu4LbDTu4XGKhr4mRzUsmM4RtVoemTSY81AxZiDr8c= 427 - google.golang.org/grpc v1.23.0/go.mod h1:Y5yQAOtifL1yxbo5wqy6BxZv8vAUGQwXBOALyacEbxg= 428 - google.golang.org/grpc v1.25.1/go.mod h1:c3i+UQWmh7LiEpx4sFZnkU36qjEYZ0imhYfXVyQciAY= 429 - google.golang.org/grpc v1.27.0/go.mod h1:qbnxyOmOxrQa7FizSgH+ReBfzJrCY1pSN7KXBS8abTk= 430 - google.golang.org/grpc v1.33.2/go.mod h1:JMHMWHQWaTccqQQlmk3MJZS+GWXOdAesneDmEnv2fbc= 431 - 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gopkg.in/check.v1 v1.0.0-20180628173108-788fd7840127/go.mod h1:Co6ibVJAznAaIkqp8huTwlJQCZ016jof/cbN4VW5Yz0= 446 324 gopkg.in/check.v1 v1.0.0-20190902080502-41f04d3bba15/go.mod h1:Co6ibVJAznAaIkqp8huTwlJQCZ016jof/cbN4VW5Yz0= 447 325 gopkg.in/check.v1 v1.0.0-20201130134442-10cb98267c6c h1:Hei/4ADfdWqJk1ZMxUNpqntNwaWcugrBjAiHlqqRiVk= 448 326 gopkg.in/check.v1 v1.0.0-20201130134442-10cb98267c6c/go.mod h1:JHkPIbrfpd72SG/EVd6muEfDQjcINNoR0C8j2r3qZ4Q= 449 - gopkg.in/errgo.v2 v2.1.0/go.mod h1:hNsd1EY+bozCKY1Ytp96fpM3vjJbqLJn88ws8XvfDNI= 450 327 gopkg.in/mail.v2 v2.3.1 h1:WYFn/oANrAGP2C0dcV6/pbkPzv8yGzqTjPmTeO7qoXk= 451 328 gopkg.in/mail.v2 v2.3.1/go.mod h1:htwXN1Qh09vZJ1NVKxQqHPBaCBbzKhp5GzuJEA4VJWw= 452 329 gopkg.in/warnings.v0 v0.1.2 h1:wFXVbFY8DY5/xOe1ECiWdKCzZlxgshcYVNkBHstARME= ··· 459 336 gopkg.in/yaml.v3 v3.0.0-20200313102051-9f266ea9e77c/go.mod h1:K4uyk7z7BCEPqu6E+C64Yfv1cQ7kz7rIZviUmN+EgEM= 460 337 gopkg.in/yaml.v3 v3.0.1 h1:fxVm/GzAzEWqLHuvctI91KS9hhNmmWOoWu0XTYJS7CA= 461 338 gopkg.in/yaml.v3 v3.0.1/go.mod h1:K4uyk7z7BCEPqu6E+C64Yfv1cQ7kz7rIZviUmN+EgEM= 462 - honnef.co/go/tools v0.0.0-20190102054323-c2f93a96b099/go.mod h1:rf3lG4BRIbNafJWhAfAdb/ePZxsR/4RtNHQocxwk9r4= 463 - honnef.co/go/tools v0.0.0-20190523083050-ea95bdfd59fc/go.mod h1:rf3lG4BRIbNafJWhAfAdb/ePZxsR/4RtNHQocxwk9r4= 464 339 mvdan.cc/xurls/v2 v2.5.0 h1:lyBNOm8Wo71UknhUs4QTFUNNMyxy2JEIaKKo0RWOh+8= 465 340 mvdan.cc/xurls/v2 v2.5.0/go.mod h1:yQgaGQ1rFtJUzkmKiHYSSfuQxqfYmd//X6PxvholpeE= 466 - oss.terrastruct.com/d2 v0.6.5 h1:VgZgiwtMhh3uVR2mm7e0bdh25f1px3ZCPM/la5GKfMc= 467 - oss.terrastruct.com/d2 v0.6.5/go.mod h1:WUTwQN18MM0MWbDgFo7pmm2ousV6N6jUwg8MgVdT6I0= 468 - oss.terrastruct.com/util-go v0.0.0-20231101220827-55b3812542c2 h1:n6y6RoZCgZDchN4gLGlzNRO1Jdf9xOGGqohDBph5BG8= 469 - oss.terrastruct.com/util-go v0.0.0-20231101220827-55b3812542c2/go.mod h1:eMWv0sOtD9T2RUl90DLWfuShZCYp4NrsqNpI8eqO6U4=
+2 -1
shared/blog.go
··· 21 21 OtherMetadata map[string]any `yaml:",inline"` 22 22 RelatedWorksSlugs []string `yaml:"works"` 23 23 BlogRoot string 24 + MathJax bool `yaml:"mathjax"` 24 25 } 25 26 26 27 func RelatedBlogEntries(w ortfodb.Work, allEntries []BlogEntry) []BlogEntry { ··· 37 38 var works []ortfodb.Work 38 39 for _, slug := range e.RelatedWorksSlugs { 39 40 if work, found := db.FindWork(slug); found { 40 - works = append(works, work) 41 + works = append(works, work) 41 42 } 42 43 } 43 44