33 |
34 | Typing the Enter or Tab key inserts 𝛼.
35 | If you want a different symbol in the dropdown, you can click on it, or you can use the up/down (↑↓) arrow keys to select the symbol you want and type the Enter or Tab key to enter it.
36 |
37 | The math autocomplete menu helps you discover a LaTeX control word, and it speeds entry especially for long control words such as those in the dropdown
38 |
39 | 
42 |
43 | The symbol dictionary includes some control-word aliases, such as \union for \cup (∪), since you might not guess \cup is the LaTeX control word for the union operator ∪.
44 |
45 | ## Character code points
46 | Below the input window, there’s a Unicode codepoint window that displays the codepoints of the input symbols above the symbols.
47 | This is particularly useful for comparing two strings that appear to be identical but differ in one or more characters.
48 | Both the input and output windows support the Alt+x symbol entry method popular in Microsoft Word, OneNote, and NotePad.
49 | (It should be supported in all editors 😊).
50 | For example, type 222b Alt+x to insert ∫.
51 |
52 | ## Speech, braille, LaTeX, dictation
53 | In addition to generating MathML, you can click on buttons or enter a hot key to
54 | * Speak the math in English (Alt+s)
55 | * Braille the math in Nemeth braille (Alt+b)
56 | * Convert the math to Unicode LaTeX (Alt+t)
57 | * Dictate an equation (Alt+d)
58 | * Display the Help page (Alt+h)
59 | * Display the About page (Alt+a)
60 | * Enter the current Example equation and advance the Example equation ID (Alt+Enter)
61 |
62 | The results for speech, braille and LaTeX are displayed below the input window.
63 | Dictation results are shown in the input, output, and MathML windows.
64 | Dictation hint: wait for the start beep (else the first word(s) might be missing) and enunciate clearly.
65 | ## Math display
66 | The math is rendered in the output window either natively or by MathJax according to a setting (click on the ⚙︎ to change it).
67 | MathJax’s typography resembles LaTeX’s.
68 | The native rendering is good although not yet as good as LaTeX.
69 | But an advantage of the native renderer is that you can edit built-up equations directly in the output window and copy all or part of an equation.
70 | If the selection is an insertion point, the whole equation is copied.
71 | The only editing feature in the MathJax mode is Ctrl+c, which copies the MathML for the whole equation to the clipboard.
72 | ## Navigating the app
73 | A mouse or touchpad provides one way to move between and inside the various facilities. Another way is to use the Tab key. Since the app has myriad default Tab stops, users need a Tab hierarchy. The top of the hierarchy has the menu stops Help, Demo, Speak, Braille, TeX, Dictate, and About, followed by the Input and Output windows, Settings, History, math styles, and symbol galleries. The Tab key navigates these stops in the forward direction, while Shift+Tab navigates in the backward direction. The Enter key activates the current stop's facility. In an activated facility, the left and right arrow keys move between the facility's options. The Enter key then runs the option. For an active symbol gallery, the Enter key inserts the current symbol. For most settings, the Enter key toggles the current option. For menu stops, the Enter key sends the associated hot key. Each change is accompanied by explanatory speech.
74 | ## Intents
75 | UnicodeMathML generates [Presentation MathML 4](https://w3c.github.io/mathml/).
76 | A key addition in MathML 4 is the intent attribute, which allows authors to disambiguate math notation and control math speech.
77 |
78 | For example, does |𝑥| mean the absolute value of 𝑥 or the cardinality of 𝑥?
79 | Absolute value is assumed by default since absolute value is more common than cardinality.
80 | The default MathML for |x| is
81 | ```html
82 | 
130 |
131 | and you can type in “energy” or whatever you want followed by the Enter key.
132 | If you type in “energy”, the resulting MathML is
133 |
134 | ```html
135 | 
186 |
187 | Here \cup is the standard [La]TeX control word for entering ∪ but since \union is easier to guess, it’s included too.
188 |
189 | ## Output window editing
190 | You can enter equations and edit the built-up display in the output window as shown in this video
191 |
192 |
195 |
196 | This "in-place" editing mimics the [math editing experience](https://devblogs.microsoft.com/math-in-office/officemath/) in desktop Microsoft Word, Outlook, PowerPoint, and OneNote.
197 | The hot keys listed above work here too, as do the symbol galleries and the math autocomplete menus.
198 | The copy hot key, Ctrl+c, copies the MathML for the selected content into the plain-text copy slot, rather than copying the underlying plain text.
199 | This enables you to paste built-up math equations into Word and other apps that interpret "plain-text" MathML as MathML rather than as plain text.
200 | Note: math autobuildup works with native MathML rendering; if MathJax is active, only Ctrl+c works.
201 |
202 | Currently arrow-key navigation needs work and there are other glitches.
203 | The implementation uses JavaScript to manipulate the MathML in the browser DOM.
204 | ## UnicodeMath selection attributes
205 | __Technical stuff__:
206 | When you edit the output window, the resulting MathML includes attributes that represent the state of the user selection.
207 | These attributes have been added partly because they are [needed to make editing accessible](https://devblogs.microsoft.com/math-in-office/mathml-and-omml-user-selection-attributes/).
208 | The attribute "selanchor" defines the selection "anchor" end (the nonmoving end) and "selfocus" defines the selection active end, e.g., the end that moves with Shift+→.
209 | The attribute values define the offsets for the selection [setBaseAndExtent](https://developer.mozilla.org/en-US/docs/Web/API/Selection/setBaseAndExtent) method.
210 | If the selection is an insertion point (a degenerate selection), only selanchor is included since the anchor and focus ends coincide.
211 |
212 | Corresponding constructs have been added to UnicodeMath to represent the selection state.
213 | They are needed for the multilevel undo facility, which saves back states by caching the back-state UnicodeMath strings.
214 | The enclosure Ⓐ(_offset_) defines the position of the selection _anchor_ and the enclosure Ⓕ(_offset_) defines the position of the selection _focus_.
215 | If no _offset_ appears, 0 is assumed.
216 | To increase readability, these enclosures are not included in the UnicodeMath displayed in the input window.
217 | Nondegenerate selections have the focus enclosure as well, as in the UnicodeMath "Ⓐ()Ⓕ(1)⬚" for the selected "⬚".
218 |
219 | A negative offset is used if the selection construct refers to a text node.
220 | The absolute value of a negative offset gives the offset into a string.
221 | For example, <mi selanchor="-1">sin</mi> sets the anchor to the "i" in "sin".
222 | Positive attribute values give the index of a child element.
223 | So, <mi selanchor="1">sin</mi> places the anchor immediately following "sin".
224 |
225 |
--------------------------------------------------------------------------------
/playground/jquery.toc.js:
--------------------------------------------------------------------------------
1 | /*
2 | * Table of Contents jQuery Plugin - jquery.toc
3 | *
4 | * Copyright 2013-2016 Nikhil Dabas
5 | *
6 | * Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except
7 | * in compliance with the License. You may obtain a copy of the License at
8 | *
9 | * http://www.apache.org/licenses/LICENSE-2.0
10 | *
11 | * Unless required by applicable law or agreed to in writing, software distributed under the License
12 | * is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express
13 | * or implied. See the License for the specific language governing permissions and limitations
14 | * under the License.
15 | */
16 |
17 | (function ($) {
18 | "use strict";
19 |
20 | // Builds a list with the table of contents in the current selector.
21 | // options:
22 | // content: where to look for headings
23 | // headings: string with a comma-separated list of selectors to be used as headings, ordered
24 | // by their relative hierarchy level
25 | var toc = function (options) {
26 | return this.each(function () {
27 | var root = $(this),
28 | data = root.data(),
29 | thisOptions,
30 | stack = [root], // The upside-down stack keeps track of list elements
31 | listTag = this.tagName,
32 | currentLevel = 0,
33 | headingSelectors;
34 |
35 | // Defaults: plugin parameters override data attributes, which override our defaults
36 | thisOptions = $.extend(
37 | {content: "body", headings: "h1,h2,h3"},
38 | {content: data.toc || undefined, headings: data.tocHeadings || undefined},
39 | options
40 | );
41 | headingSelectors = thisOptions.headings.split(",");
42 |
43 | // Set up some automatic IDs if we do not already have them
44 | $(thisOptions.content).find(thisOptions.headings).attr("id", function (index, attr) {
45 | // In HTML5, the id attribute must be at least one character long and must not
46 | // contain any space characters.
47 | //
48 | // We just use the HTML5 spec now because all browsers work fine with it.
49 | // https://mathiasbynens.be/notes/html5-id-class
50 | var generateUniqueId = function (text) {
51 | // Generate a valid ID. Spaces are replaced with underscores. We also check if
52 | // the ID already exists in the document. If so, we append "_1", "_2", etc.
53 | // until we find an unused ID.
54 |
55 | if (text.length === 0) {
56 | text = "?";
57 | }
58 |
59 | var baseId = text.replace(/\s+/g, "_"), suffix = "", count = 1;
60 |
61 | while (document.getElementById(baseId + suffix) !== null) {
62 | suffix = "_" + count++;
63 | }
64 |
65 | return baseId + suffix;
66 | };
67 |
68 | return attr || generateUniqueId($(this).text());
69 | }).each(function () {
70 | // What level is the current heading?
71 | var elem = $(this), level = $.map(headingSelectors, function (selector, index) {
72 | return elem.is(selector) ? index : undefined;
73 | })[0];
74 |
75 | if (level > currentLevel) {
76 | // If the heading is at a deeper level than where we are, start a new nested
77 | // list, but only if we already have some list items in the parent. If we do
78 | // not, that means that we're skipping levels, so we can just add new list items
79 | // at the current level.
80 | // In the upside-down stack, unshift = push, and stack[0] = the top.
81 | var parentItem = stack[0].children("li:last")[0];
82 | if (parentItem) {
83 | stack.unshift($("<" + listTag + "/>").appendTo(parentItem));
84 | }
85 | } else {
86 | // Truncate the stack to the current level by chopping off the 'top' of the
87 | // stack. We also need to preserve at least one element in the stack - that is
88 | // the containing element.
89 | stack.splice(0, Math.min(currentLevel - level, Math.max(stack.length - 1, 0)));
90 | }
91 |
92 | // Add the list item
93 | $("").appendTo(stack[0]).append(
94 | $("").text(elem.text()).attr("href", "#" + elem.attr("id"))
95 | );
96 |
97 | currentLevel = level;
98 | });
99 | });
100 | }, old = $.fn.toc;
101 |
102 | $.fn.toc = toc;
103 |
104 | $.fn.toc.noConflict = function () {
105 | $.fn.toc = old;
106 | return this;
107 | };
108 |
109 | // Data API
110 | $(function () {
111 | toc.call($("[data-toc]"));
112 | });
113 | }(window.jQuery));
114 |
--------------------------------------------------------------------------------
/src/integration/example.md.html:
--------------------------------------------------------------------------------
1 |
2 | **UnicodeMathML + Markdeep**
3 |
4 | If the following line looks like a proper formula that's centered, things are working the way they're supposed to:
5 |
6 | ⁅ⅆy/ⅆx=[y-G(x)]/a(x,y)⁆
7 |
8 | *See `README.md` of the [UnicodeMathML repository](https://github.com/doersino/UnicodeMathML) for more information.*
9 |
10 | ---
11 |
12 | Here's a test of delimiter escapes: ⁅a+b⁆ testing \⁅a+b⁆ testing ⁅a+b\⁆ testing \⁅a+b\⁆ testing.
13 |
14 | And now a test of textstyle versus displaystyle math: ⁅lim▒_(n→∞) a_n⁆ and:
15 |
16 | ⁅lim▒_(n→∞) a_n⁆
17 |
18 | ## Benchmark
19 |
20 | Translating the following list (see `utils/benchmark.txt`) of UnicodeMath expressions – note that some of them are indeed supposed to yield errors – shouldn't take very long at all. Blink and you'll (ideally) miss it (modulo MathJax rendering, which can be slow):
21 |
22 | ⁅"A COLLECTION OF 628 UNICODEMATH EXPRESSIONS FROM VARIOUS SOURCES"⁆
23 | ⁅x + 2y + 3z⁆
24 | ⁅1+▭(⟡(1&1/2/3/4/5))⁆
25 | ⁅= α_x^2 1 + α_y^2 1 + α_z^2 1 + (α_y α_z y z - α_y α_z y z) + (α_x α_z z x - α_x α_z z x) + (α_x α_y x y - α_x α_y x y)⁆
26 | ⁅A^* = \sum_{r}{ (-1)^r ⟨ A ⟩_r } = ⟨ A ⟩_+ - ⟨ A ⟩_-⁆
27 | ⁅𝑊_𝛿₁ⁿ𝜌ⁿⁿa_2⁆
28 | ⁅- 6y z + 4z x + 2x y = (2x + 3y) ∧ (y - 2z)⁆
29 | ⁅├1]a┤[⁆
30 | ⁅3/5 x + √z⁆
31 | ⁅α_(z x) z x β_(y z) y z + α_(z x) z x β_(z x) z x + α_(z x) z x β_(x y) x y + α_(z x) z x β_(x y z) x y z⁆
32 | ⁅|(|x| - |y|)|⁆
33 | ⁅lim▒_(n→∞) a_n⁆
34 | ⁅{v_i: i \in {1,2,3,4,5}}⁆
35 | ⁅- α_x β_(y z) z^2y + α_x β_(z x) 1 x + α_x β_(x y) x y z + α_x β_(x y z) x y z z⁆
36 | ⁅/+'⁆
37 | ⁅a_b^c⁆
38 | ⁅▭(128&✎(#e01f32&α))⁆
39 | ⁅y z, x z, x y⁆
40 | ⁅(a+b) ̂⁆
41 | ⁅ⅇ⁆
42 | ⁅A (B C) = (A B) C = A B C⁆
43 | ⁅(ℕ_+)⃗⁆
44 | ⁅a/b⁆
45 | ⁅▢(a+b*⟌(a+b))⁆
46 | ⁅mⁿ₋₃₌₍₂₋₅₎⁆
47 | ⁅+ α_y β_(y z) 1 z + α_y β_(z x) x y z - α_y β_(x y) x y^2 - α_y β_(x y z) x y^2z⁆
48 | ⁅a b⁆
49 | ⁅x⁆
50 | ⁅⫷scripts overhaul start⫸⁆
51 | ⁅α⁆
52 | ⁅x^2 = y^2 = z^2 = 1⁆
53 | ⁅✎(#e01f32&α)⊘✎(#18a199&β)⁆
54 | ⁅a_2⁆
55 | ⁅a₉^+-b₁⁆
56 | ⁅█(10&x+&3&y=2@3&x+&13&y=4)⁆
57 | ⁅z w⁆
58 | ⁅+ (α_1 β_(x y z) + α_(x y z) β_1 + α_x β_(y z) + α_(y z) β_x + α_y β_(z x) + α_(z x) β_y + α_x β_(x y) + α_(x y) β_z) x y z⁆
59 | ⁅(a│b)/⁆
60 | ⁅β_(y z) yz + β_(z x) z x + β_(x y) x y + β_(x y z) x y z\)⁆
61 | ⁅∀ A, B, C ∈ 𝒢 ⟹ A \⌊ (B + C) = A \⌊ B + A \⌊ C⁆
62 | ⁅sinx⁆
63 | ⁅f'(t) = 8 ((1-cos〖\theta/2〗)/(1+cos〖\theta/2〗) sin〖\theta/2〗)^2 (t-1) t (2t - 1) (6t² - 6t + 1)⁆
64 | ⁅\root n+1\of(b+c)⁆
65 | ⁅= α_x^2 + α_y^2 + α_z^2⁆
66 | ⁅E = mc²⁆
67 | ⁅= (α_x x + α_y y + α_x z)⁆
68 | ⁅|_〖|_a〗^b⁆
69 | ⁅∧⁆
70 | ⁅∫1_a^b▒x⁆
71 | ⁅𝒢⁆
72 | ⁅🔭+🌌⁆
73 | ⁅1⊘2⁆
74 | ⁅√a+b+d+1/b\of (c/d)⁆
75 | ⁅([^⁆
76 | ⁅ￗ(α)⁆
77 | ⁅+ β_1 + α_(x y) x y β_x x + α_(x y) x y β_y y + α_(x y) x y β_z z +⁆
78 | ⁅= \(α_1 + α_x x + α_y y + α_x z +⁆
79 | ⁅▭(2&✎(#e01f32&α))⁆
80 | ⁅c'^2⁆
81 | ⁅a + b_ℲDℲD2⁆
82 | ⁅∫3┬(n→∞)┴b▒x⁆
83 | ⁅123a_11+1234ab/2/W_v_v_v_v_v_v/4/a⁆
84 | ⁅test+(_☁(blue&n)^☁(red&n))(1,2)_☁(green&n)^☁(yellow&✎(black&n))⁆
85 | ⁅+ (α_1 β_(y z) + α_(y z) β_1 + α_x β_(x y z) + α_(x y z) β_x + α_y β_z - α_x β_y + α_(x y) β_(z x) - α_(z x) β_(x y)) y z⁆
86 | ⁅a̼⁆
87 | ⁅123┴↔ + ↔┴123.⁆
88 | ⁅a⁗⁆
89 | ⁅test+(_n^m)(1,2)_n^m⁆
90 | ⁅a₂^α⁆
91 | ⁅⟨⟩_r : 𝒢 → 𝒢_r⁆
92 | ⁅+ α_(z x) β_1 z x + α_(z x) β_x z + α_(z x) β_y x y z - α_(z x) β_z x⁆
93 | ⁅∀ a ∈ 𝒢_1, ∀ B ∈ 𝒢_m ⟹ B \⌊ a = 1/2 (B a - a B^*)⁆
94 | ⁅a+⫷stuf\⫸fandthings+1⫸b⁆
95 | ⁅- α_(y z) β_(y z) z z + α_(y z) β_(z x) y x + α_(y z) β_(x y) z x + α_(y z) β_(x y z) y x y⁆
96 | ⁅α_x z β_(y z) y z + α_x z β_(z x) z x + α_x z β_(x y) x y + α_x z β_(x y z) x y z⁆
97 | ⁅lim_(a→∞) a + lim²_(a→∞) a + sin²(a) = 42⁆
98 | ⁅_β^γ α⁆
99 | ⁅a‼⁆
100 | ⁅a‴⁆
101 | ⁅+ α_(x y) β_(y z) x z + α_(x y) β_(z x) y z - α_(x y) β_(x y) y y - α_(x y) β_(x y z) y y z⁆
102 | ⁅a b⁆
103 | ⁅+ α_(x y) β_(y z) x 1 z + α_(x y) β_(z x) y x x z - α_(x y) β_(x y) y x^2y - α_(x y) β_(x y z) y x^2y z⁆
104 | ⁅a⃑⁆
105 | ⁅▭(255&"💩")⁆
106 | ⁅+ α_(y z) β_1 y z - α_(y z) β_x y x z - α_(y z) β_y zy y + α_(y z) β_z y z^2⁆
107 | ⁅30-50🐗⁆
108 | ⁅a b⁆
109 | ⁅3 D⁆
110 | ⁅α_1⁆
111 | ⁅█(10&x+ & 3&y=2@3&x+&13&y=4)⁆
112 | ⁅∫0_a^b▒x⁆
113 | ⁅∫₀²⁰ √x ⅆx⁆
114 | ⁅+ α_(z x) β_1 z x + α_(z x) β_x z 1 + α_(z x) β_y x y z - α_(z x) β_z x z^2⁆
115 | ⁅⬍(a/b/c/d/e/f)+c⁆
116 | ⁅(a) + (a] + (a} + (a⟩ + (a〗 + (a⌉ + (a⌋⁆
117 | ⁅⏠(⏟(x+⋯+x)_(k " times and stuff"))^(test_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2)⁆
118 | ⁅π_(ￗ(from), ￗ(to)←ￗ(to2)) (σ_(ￗ(to)=ￗ(from2)) (G×π_(ￗ(from2)←ￗ(from), ￗ(to2)←ￗ(to)) (G)))⁆
119 | ⁅= α_x^2 x^2 + α_y^2 y^2 + α_z^2 z^2 + α_y α_z y z - α_y α_z y z + α_x α_z z x - α_x α_z z x + α_x α_y x y - α_x α_y x y⁆
120 | ⁅∀ a ∈ 𝒢_1, ∀ B ∈ 𝒢_m ⟹ a \⌋ B = 1/2 (a B - B^* a)⁆
121 | ⁅→┴(𝑎 + 𝑏)⁆
122 | ⁅v \⌋ B⁆
123 | ⁅-1⁆
124 | ⁅𝜌 = ∑_𝜓▒P_𝜓 |𝜓⟩⟨𝜓| ,⁆
125 | ⁅a_b_b^c⁆
126 | ⁅_4 F_1 + _42 F⁆
127 | ⁅+ α_y β_1 y + α_y β_x y x + α_y β_y y y + α_y β_z y z +⁆
128 | ⁅⟨ α_1 + α_x x + α_y y + α_z z + α_(y z) yz + α_(z x) z x + α_(x y) x y + α_(x y z) x y z ⟩_0 = α_1⁆
129 | ⁅1.25⁆
130 | ⁅(α)⁆
131 | ⁅(α_x x + α_y y + α_z z)^2⁆
132 | ⁅a/⁆
133 | ⁅▭(4&✎(#e01f32&α))⁆
134 | ⁅W_δ_1 ρ₁ σ₂^3β.⁆
135 | ⁅α_(x y z) x y z β_(y z) y z + α_(x y z) x y z β_(z x) z x + α_(x y z) x y z β_(x y) x y + α_(x y z) x y z β_(x y z) x y z⁆
136 | ⁅α⊘β⁆
137 | ⁅ⅆy/ⅆx=[y-G(x)]/a(x,y). + \int_1\of a⁆
138 | ⁅{x ∣ f(x) = 0}⁆
139 | ⁅█(1&x+1&3&y=200@10000&x&3&y=2)⁆
140 | ⁅∀ α ∈ 𝒢_0, ∀ B ∈ 𝒢 ⟹ α ∧ B = B ∧ α = α B = B α⁆
141 | ⁅∑_1\of (\forall y\exists 1) ⫷if resolveCW == true⫸⁆
142 | ⁅x_i\times y^n⁆
143 | ⁅+ α_y β_1 y - α_y β_x x y + α_y β_y 1 + α_y β_z y z⁆
144 | ⁅v_1 ∧ v_2⁆
145 | ⁅+ α_1 β_(y z) y z + α_1 β_(z x) z x + α_1 β_(x y) x y + α_1 β_(x y z) x y z⁆
146 | ⁅⬭(▭(⬭(42)))⁆
147 | ⁅▭(32&✎(#e01f32&α))⁆
148 | ⁅+ α_(z x) β_(y z) x z z y - α_(z x) β_(z x) x z^2x + α_(z x) β_(x y) z 1 y + α_(z x) β_(x y z) z 1 y z⁆
149 | ⁅a _5^1 F_1⁆
150 | ⁅α_(y z) yz + α_(z x) z x + α_(x y) x y + α_(x y z) x y z\)⁆
151 | ⁅a⃗ⁿ⁆
152 | ⁅∫_0^a▒〖xⅆx/(x^2+a^2)〗⁆
153 | ⁅α̂̌̃́⁆
154 | ⁅= α_1 β_1 + α_1 β_x x + α_1 β_y y + α_1 β_z z⁆
155 | ⁅α/β∕γ⁆
156 | ⁅α #β⁆
157 | ⁅abc+a⁆
158 | ⁅a⃢⁆
159 | ⁅a^1_2_3_4⁆
160 | ⁅├]1/2┤4[⁆
161 | ⁅a'⁗‴⁆
162 | ⁅a ∧ b = -b ∧ a⁆
163 | ⁅|(a|b−c|d)|⁆
164 | ⁅(a^n/b_c)/c⁆
165 | ⁅( _a )a⁆
166 | ⁅300-3.14^10000^2⁆
167 | ⁅α'₂^β⁆
168 | ⁅+ α_x β_(y z) x y z - α_x β_(z x) x x z + α_x β_(x y) x^2 y + α_x β_(x y z) x^2 y z⁆
169 | ⁅∏_(k=0)^n▒n⒞k = H²(n) / (n!)^(n+1) = (∏_(h=0)^n▒h^h) / (n!)^(n+1)⁆
170 | ⁅₁a₁⁆
171 | ⁅a⃒⁆
172 | ⁅a_b_c⁆
173 | ⁅\int_0^a xⅆx/(x²+a²)⁆
174 | ⁅+ α_(z x) β_(y z) x y - α_(z x) β_(z x) - α_(z x) β_(x y) y z - α_(z x) β_(x y z) y⁆
175 | ⁅+ α_(z x) β_(y z) x y - α_(z x) β_(z x) - α_(z x) β_(x y) y z - α_(z x) β_(x y z) z z y⁆
176 | ⁅|x| = {█(&x" if "x ≥ 0@−&x" if "x < 0)┤⁆
177 | ⁅+ α_x β_1 x + α_x β_x 1 + α_x β_y x y - α_x β_z z x⁆
178 | ⁅(∛a)/3.14159265+{a^b^c^d/2}⁆
179 | ⁅x y⁆
180 | ⁅= (α_x x + α_y y + α_x z) \⌋ (β_(y z) yz + β_(z x) zx + β_(x y) x y)⁆
181 | ⁅▭(16&✎(#e01f32&α))⁆
182 | ⁅✎(rgba(255,255,100,0.5)&1/☁(red&2/3/✎(black&345)))⁆
183 | ⁅✎(rgba(255,255,100,0.5)&42)⁆
184 | ⁅G(x)⁆
185 | ⁅|x|={█(&x&"if "x≥0@-&x&"if "x<0)〗⁆
186 | ⁅abcde┬→⁆
187 | ⁅𝑊^𝛿₁𝜌ⁿ⁆
188 | ⁅-x y z, 17/41 x y z, ...⁆
189 | ⁅α_x β_(y z) x y z + α_x β_(z x) x z x + α_x β_(x y) x x y + α_x β_(x y z) x x y z⁆
190 | ⁅2π⁆
191 | ⁅α₄₂^+-β₁⁆
192 | ⁅- α_(y z) β_(y z) - α_(y z) β_(z x) x y + α_(y z) β_(x y) z x - α_(y z) β_(x y z) x⁆
193 | ⁅\rect(y=x+4)⁆
194 | ⁅E = mc²⁆
195 | ⁅_n C_k = n⒞k = n!/(k! ⋅ (n-k)!)⁆
196 | ⁅α+β⁆
197 | ⁅(A + B) C = A C + B C⁆
198 | ⁅a^′′′⁆
199 | ⁅e'⁆
200 | ⁅+ α_y β_(y z) y^2z - α_y β_(z x) y x z - α_y β_(x y) x y y - α_y β_(x y z) x y y z⁆
201 | ⁅⏞(x_1+⋯+x_k)^(k " times")⁆
202 | ⁅x = 0, y = 2⁆
203 | ⁅= α_1 β_1 + α_x β_x + α_y β_y + α_x β_z - α_(y z) β_(y z) - α_(z x) β_(z x) - α_(x y) β_(x y) - α_(x y z) β_(x y z)⁆
204 | ⁅\⌋ : 𝒢_n × 𝒢_m \to 𝒢_{m - n}⁆
205 | ⁅¹₂3⁆
206 | ⁅\playground 123⁆
207 | ⁅☁(red&1/2/3/☁(green&tes☁(blue&t)))⁆
208 | ⁅|a(x,y)/Δx|a≪1⁆
209 | ⁅lim_(a→∞) a + lim²_(a→∞) a + sin²(a) = 42/⁆
210 | ⁅ⅆy/ⅆx=[y-G(x)]/a(x,y)⁆
211 | ⁅^+ A⁆
212 | ⁅- α_(x y z) β_(y z) x y y z z + α_(x y z) β_(z x) x y z^2x - α_(x y z) β_(x y) x y x z y - α_(x y z) β_(x y z) y x z x y z⁆
213 | ⁅⟨ α_1 + α_x x + α_y y + α_z z + α_(y z) yz + α_(z x) z x + α_(x y) x y + α_(x y z) x y z ⟩_-5 = 0⁆
214 | ⁅sin α⁆
215 | ⁅α_(y z) y z + α_(z x) z x + α_(x y) x y⁆
216 | ⁅𝙲𝙰𝚁𝙳𝚂\_𝙱𝙰𝙳/⁆
217 | ⁅▭(192&α)⁆
218 | ⁅▭(64&✎(#e01f32&α))⁆
219 | ⁅a⁗'‴⁆
220 | ⁅〖▭(255&▭(255&▭(255&▭(255&▭(255&▭(255&▭(255&ℲB"🕷")))))))〗 〖ℲB🦟¦ ¦ 〗⁆
221 | ⁅ⅆy/ⅆx=[y-G(x)]/a(x,y).⁆
222 | ⁅+⁆
223 | ⁅A ⟕_(A.a = B.b) B⁆
224 | ⁅⟨ |⁆
225 | ⁅⟨⟩_+ : 𝒢 → 𝒢_+⁆
226 | ⁅{x_1, ..., x_n}⁆
227 | ⁅N₀₊₍₂₋₅₎₌₋₃⁆
228 | ⁅v_1 v_2⁆
229 | ⁅m+a⁄t_h⁆
230 | ⁅- α_(x y z) β_(y z) x + α_(x y z) β_(z x) x y x - α_(x y z) β_(x y) zy y - α_(x y z) β_(x y z) y z z y⁆
231 | ⁅exp(x/a(x,G(x)))⁆
232 | ⁅x y + z w⁆
233 | ⁅▭(1&✎(#e01f32&α))⁆
234 | ⁅∫4_a^b▒x⁆
235 | ⁅- α_(y z) β_(y z) zy y z + α_(y z) β_(z x) y z^2x - α_(y z) β_(x y) zy x y - α_(y z) β_(x y z) y x z y z⁆
236 | ⁅\(β_1 + β_x x + β_y y + β_z z +⁆
237 | ⁅ℲBα⁆
238 | ⁅1.25^n⁆
239 | ⁅+ α_(y z) β_1 y z + α_(y z) β_x y z x + α_(y z) β_y y z y + α_(y z) β_z y z z +⁆
240 | ⁅+ α_x β_1 z + α_x β_x z x - α_x β_y y z + α_x β_z z^2⁆
241 | ⁅a₀₋₉⁴⁼ⁱ⁆
242 | ⁅+ : 𝒢 × 𝒢 → 𝒢⁆
243 | ⁅α⬌(β)γ⁆
244 | ⁅⨌1_a\of ⨌62^a\of b\cdot c⁆
245 | ⁅a + b⁆
246 | ⁅cos▒² α⁆
247 | ⁅a b = (2 x) (4 x + 3 y) = 8 + 6 x y⁆
248 | ⁅⏟def┬2⁆
249 | ⁅(x + y + z) ∧ (x + 3y - 3z) = - 6y z + 4z x + 2x y⁆
250 | ⁅α_x β_(y z) z y z + α_x β_(z x) z z x + α_x β_(x y) z x y + α_x β_(x y z) z x y z⁆
251 | ⁅√a + √b⁆
252 | ⁅a⊘b⊘c⊘d⊘e⊘f⊘g⊘h⊘i⊘j⊘k⊘l⊘m⊘n⊘o⊘p⊘q⊘r⊘s⊘t⊘u⊘v⊘w⊘x⊘y⊘z⁆
253 | ⁅⬌(_✎(#e01f32&α)^✎(#18a199&β) ✎(#467bc4&γ))(_α^β)γ⁆
254 | ⁅O(n⁴)⁆
255 | ⁅α₂³/(β₂³+γ₂³)⁆
256 | ⁅∫^α₂⁆
257 | ⁅a′′′'''⁆
258 | ⁅f'(t) = 8 ((1-cos〖\theta/2〗)/(1+cos〖\theta/2〗) sin〖\theta/2〗)^2 (t-1) t (2t - 1) (6t^2 - 6t + 1)⁆
259 | ⁅+ (α_1 β_x + α_x β_1 + α_(x y) β_y - α_y β_(x y) + α_x β_(z x) - α_(z x) β_z - α_(y z) β_(x y z) - α_(x y z) β_(y z)) x⁆
260 | ⁅α_(x y) β_(y z) x y y z + α_(x y) β_(z x) x y z x + α_(x y) β_(x y) x y x y + α_(x y) β_(x y z) x y x y z⁆
261 | ⁅\sum┬k▒(-1)^k z_k f(t-k) ℲB\/ \sum┬k▒(-1)^k f(t-k)⁆
262 | ⁅⏜α⁆
263 | ⁅1/2π ∫_0^2π▒ⅆθ/(a+b sinθ) = 1/√(a^2-b^2),⁆
264 | ⁅(a + b)^n = ∑_(k=0)^n▒(n¦k) a^k b^(n-k)⁆
265 | ⁅aⁱ_b⁆
266 | ⁅a′′′⁆
267 | ⁅y"'s fifth derivative" = ẏ┴5 = y⃛̈ = ÿ̈̇ = ÿ̇̈⁆
268 | ⁅▁(a)⁆
269 | ⁅✎(#e01f32&α)/✎(#18a199&β)⁆
270 | ⁅a²⋅b²=c²⁆
271 | ⁅ab/cd/ef/√(10&gh)⁆
272 | ⁅1∕2⁆
273 | ⁅(/+)/2⁆
274 | ⁅+ α_(x y) β_(y z) x y^2z - α_(x y) β_(z x) y x z x - α_(x y) β_(x y) y x x y - α_(x y) β_(x y z) y x x y z⁆
275 | ⁅√✎(#e01f32&α)⁆
276 | ⁅1⁴²√√√∛∜back_to_the_roots⁆
277 | ⁅a_(a┬b)⁆
278 | ⁅a_ℲDa + a_ℲCa + a_a + a_ℲAa + a_ℲBa⁆
279 | ⁅+ α_(x y z) β_1 x y z + α_(x y z) β_x y z - α_(x y z) β_y x z + α_(x y z) β_z x y⁆
280 | ⁅a⃝⁆
281 | ⁅A⨝_(A.x=B.y) B⁆
282 | ⁅M = α_1 + α_x x + α_y y + α_x z +⁆
283 | ⁅(a∣b)⁆
284 | ⁅⏝(a_1 + b_1) + ⏝(a_2 + b_2) + ⏝(a_3 + b_3)⁆
285 | ⁅α'′⁆
286 | ⁅▭(a⃗̂)⁆
287 | ⁅├)a┤⁆
288 | ⁅α_(x y) x y β_(y z) y z + α_(x y) x y β_(z x) z x + α_(x y) x y β_(x y) x y + α_(x y) x y β_(x y z) x y z⁆
289 | ⁅a /~ b⁆
290 | ⁅↔┬abcdefg⁆
291 | ⁅a_(a) + a_├1(a) + a_├2(a) + a_├3(a) + a_├4(a)⁆
292 | ⁅a+{(1]/4⟩⁆
293 | ⁅α_1 β_(y z) y z + α_1 β_(z x) z x + α_1 β_(x y) x y + α_1 β_(x y z) x y z⁆
294 | ⁅x = 0, y = 2⁆
295 | ⁅a''⁆
296 | ⁅4x y, -3y z + 2z x, π z x - √2 x y, ...⁆
297 | ⁅ⅆ(tan x)/ⅆx = 1/cos▒^2 x⁆
298 | ⁅+ (α_1 β_y + α_y β_1 + α_x β_(x y) - α_(x y) β_x + α_(y z) β_z - α_x β_(y z) - α_(z x) β_(x y z) - α_(x y z) β_(z x)) y⁆
299 | ⁅a +_+_+_+_+_+_+_+_+_+_+_+_+_+_+ b⁆
300 | ⁅+ α_(x y) β_1 x y - α_(x y) β_x x^2y + α_(x y) β_y x 1 + α_(x y) β_z x y z⁆
301 | ⁅a⁆
302 | ⁅α_(z x) β_(y z) z x y z + α_(z x) β_(z x) z x z x + α_(z x) β_(x y) z x x y + α_(z x) β_(x y z) z x x y z⁆
303 | ⁅○α⁆
304 | ⁅𝑎⁆
305 | ⁅∀ a ∈ 𝒢_1, ∀ B ∈ 𝒢 ⟹ a ∧ B = 1/2 (a B + B^* a)⁆
306 | ⁅= (α_y β_z - α_x β_y) yz⁆
307 | ⁅a^b₁⁆
308 | ⁅+ α_x β_1 x + α_x β_x + α_x β_y x y - α_x β_z z x⁆
309 | ⁅a_1 + a_2 + ⋯ + a_(i-1) + a_i + ⏞(a_(i+1) + ⋯ + a_(n-1) + a_n)^(n-i " times")⁆
310 | ⁅w^h_c⁆
311 | ⁅√(n&a + b)⁆
312 | ⁅[■(α&β@γ&δ)]⁆
313 | ⁅\playground⁆
314 | ⁅a^b_c⁆
315 | ⁅a -̸ b⁆
316 | ⁅- α_(x y z) β_(y z) x y^2z^2 + α_(x y z) β_(z x) x y 1 x + α_(x y z) β_(x y) x x y zy + α_(x y z) β_(x y z) y z x x y z⁆
317 | ⁅𝟙+𝟚⁆
318 | ⁅+ α_y β_(y z) z + α_y β_(z x) x y z - α_y β_(x y) x + α_y β_(x y z) z x⁆
319 | ⁅\⌊ : 𝒢_n × 𝒢_m \to 𝒢_{n - m}⁆
320 | ⁅∫64_a▒(1/2/3/4)⁆
321 | ⁅(a) + ├1(a) + ├2(a) + ├3(a) + ├4(a)⁆
322 | ⁅⟨ α_1 + α_x x + α_y y + α_z z + α_(y z) yz + α_(z x) z x + α_(x y) x y + α_(x y z) x y z ⟩_2 = α_(y z) yz + α_(z x) z x + α_(x y) x y⁆
323 | ⁅+ α_(x y) β_1 x y - α_(x y) β_x x x y + α_(x y) β_y x y^2 + α_(x y) β_z x y z⁆
324 | ⁅⏟abc_1⁆
325 | ⁅f̂(ξ)=∫_-∞^∞▒f(x)ⅇ^-2πⅈxξ ⅆx⁆
326 | ⁅"hex"={■(0@1@2@3@4@5@6@7@8@9@A@B@C@D@E@F)┤ " with " |hex|=16⁆
327 | ⁅𝒢_r⁆
328 | ⁅(a + b)┴→⁆
329 | ⁅α_(x y z) x y z⁆
330 | ⁅α̈̇⁆
331 | ⁅a⃫⁆
332 | ⁅- 6y z + 4z x + 2x y⁆
333 | ⁅(potter)͛⁆
334 | ⁅a b⁆
335 | ⁅f⁆
336 | ⁅∫_0^a▒(xⅆx/(x^2+a^2))⁆
337 | ⁅c'_2⁆
338 | ⁅(a)⁆
339 | ⁅+ α_x β_1 z + α_x β_x z x + α_x β_y z y + α_x β_z z z +⁆
340 | ⁅b_1 +_1^2 c⁆
341 | ⁅x, 3x, 17/41 x, 2x + y, 15y, -x + 2y + 5z, z, ...⁆
342 | ⁅α_(x y z) β_(y z) x y z y z + α_(x y z) β_(z x) x y z z x + α_(x y z) β_(x y) x y z x y + α_(x y z) β_(x y z) x y z x y z⁆
343 | ⁅a≠b⁆
344 | ⁅y - 2z⁆
345 | ⁅+ α_(x y z) β_1 x y z - α_(x y z) β_x x y x z - α_(x y z) β_y x y y z + α_(x y z) β_z x y z^2⁆
346 | ⁅- α_(x y z) β_(y z) x - α_(x y z) β_(z x) y - α_(x y z) β_(x y) z - α_(x y z) β_(x y z)⁆
347 | ⁅⁅"BS" = 1/N ∑_(t=1)^N▒(f_t-o_t )^2 ⫷from https://github.com/adiabatic/predictions/ommit/5c08e653ac9035c8a0c127d673a82ef662cc2321⫸⁆
348 | ⁅(1+2)̂̈⃛⁆
349 | ⁅1 ¦ 2 ¦ 3 ¦ 4 ¦ 5⁆
350 | ⁅+ α_x β_1 z + α_x β_x z x - α_x β_y y z + α_x β_z 1⁆
351 | ⁅lim┬(n→b)⁆
352 | ⁅⨌_a\of b\cdot c⁆
353 | ⁅(_β^γ)α_δ^ε⁆
354 | ⁅𝚊𝚛𝚛[i], i \in ℤ₀⁺/⁆
355 | ⁅= α_x^2 x^2 + α_x α_y x y - α_x α_z z x - α_x α_y x y + α_y^2 y^2 + α_y α_z y z + α_x α_z z x - α_y α_z y z + α_z^2 z^2⁆
356 | ⁅a+⫷stuff⫸b⁆
357 | ⁅y z, z x, x y⁆
358 | ⁅√56⁆
359 | ⁅1+\playground+2⁆
360 | ⁅𝚊𝚛𝚛[i], i \in ℤ₀⁺⁆
361 | ⁅𝑊_𝛿₁𝜌ⁿ𝜎^2⁆
362 | ⁅= α_1 - α_x x - α_y y - α_z z + α_(y z) yz + α_(z x) z x + α_(x y) x y - α_(x y z) x y z⁆
363 | ⁅a b⁆
364 | ⁅a₁^b⁆
365 | ⁅a/b/c/d/e/f/g/h/i/j/k/l/m/n/o/p/q/r/s/t/u/v/w/x/y/z⁆
366 | ⁅a^*⁆
367 | ⁅lim⁆
368 | ⁅∑┬α▒β⁆
369 | ⁅∑┬Ω▒Δα²⁆
370 | ⁅\sum_1\of\alpha⁆
371 | ⁅∧ : 𝒢_n × 𝒢_m → 𝒢_{n+m}⁆
372 | ⁅- α_x β_(y z) z z y + α_x β_(z x) z^2x - α_x β_(x y) x z y - α_x β_(x y z) x z y z⁆
373 | ⁅αⅆβ⁆
374 | ⁅a+b⁆
375 | ⁅▢(a+b).⁆
376 | ⁅+ β_1 + α_(z x) z x β_x x + α_(z x) z x β_y y + α_(z x) z x β_z z +⁆
377 | ⁅✎(#e01f32&α)∕✎(#18a199&β)⁆
378 | ⁅A_n \⌋ B_m = ⟨ A_n B_m ⟩_{m-n}⁆
379 | ⁅δ₁⋅ρ₁⁆
380 | ⁅========== #[1]⁆
381 | ⁅sinθ = 1⁄2 𝑒^(ⅈθ) + "c.c."⁆
382 | ⁅α_x x β_(y z) y z + α_x x β_(z x) z x + α_x x β_(x y) x y + α_x x β_(x y z) x y z⁆
383 | ⁅a b⁆
384 | ⁅∫2_a^b▒x⁆
385 | ⁅↉½⅓⅔¼¾⅕⅖⅗⅘⅙⅚⅐⅛⅜⅝⅞⅑⁆
386 | ⁅+ α_(y z) β_1 y z + α_(y z) β_x x y z - α_(y z) β_y zy^2 + α_(y z) β_z y 1⁆
387 | ⁅a^+a_b⁆
388 | ⁅▭(19&✎(#e01f32&α))⁆
389 | ⁅b⁆
390 | ⁅+ α_(x y) β_1 x y + α_(x y) β_x x y x + α_(x y) β_y x y y + α_(x y) β_z x y z +⁆
391 | ⁅+ β_1 + α_y y β_x x + α_y y β_y y + α_y y β_z z +⁆
392 | ⁅α_y β_(y z) y y z + α_y β_(z x) y z x + α_y β_(x y) y x y + α_y β_(x y z) y x y z⁆
393 | ⁅(α_1 + α_x x + α_y y + α_z z + α_(y z) y z + α_(z x) z x + α_(x y) x y + α_(x y z) x y z)^*⁆
394 | ⁅+ (α_1 β_(z x) + α_(z x) β_1 + α_x β_x - α_x β_z + α_y β_(x y z) + α_(x y z) β_y + α_(y z) β_(x y) - α_(x y) β_(y z)) z x⁆
395 | ⁅a^b^c^d⁆
396 | ⁅(a∣b∣c/d)⁆
397 | ⁅⨄▒α⁆
398 | ⁅W/e/i/h/n/a/c/h/t/s/b/a/u/m⁆
399 | ⁅a_ℲA2⁆
400 | ⁅sin 𝜃 = 1⁄2 𝑒^𝑖𝜃 + "c.c."⁆
401 | ⁅3D⁆
402 | ⁅A_n ∧ B_m = ⟨ A_n B_m ⟩_{n+m}⁆
403 | ⁅₁ a⁆
404 | ⁅ab⁆
405 | ⁅𝛼₂³/(𝛽₂³ + 𝛾₂³)⁆
406 | ⁅{a⌋^⟨1/[2)/3].⁆
407 | ⁅a⁗'⁆
408 | ⁅a∶b:c ⇒ "RATIO U+2236 vs colon"⁆
409 | ⁅(.*?)⁆
410 | ⁅a⃚⁆
411 | ⁅x_j_i_k_1 ...x_i_j_k_r⁆
412 | ⁅✎(rebeccapurple&6)⁆
413 | ⁅a" "b⁆
414 | ⁅⨌1_a\of b\cdot c⁆
415 | ⁅w^h^y+∑_aα^1Ω+sin(a)+"sin(a)"+c⁆
416 | ⁅(a) + (a] + (a} + (a⟩ + (a〗 + (a⌉ + (a⌋/⁆
417 | ⁅(1, 2.3)⁆
418 | ⁅+ α_x β_(y z) x y z - α_x β_(z x) x^2z + α_x β_(x y) 1 y + α_x β_(x y z) 1 y z⁆
419 | ⁅a^b^b^b^b_c_c_c_c⁆
420 | ⁅a′⁆
421 | ⁅< b + \int_a\of a/⁆
422 | ⁅√2⁆
423 | ⁅+ (α_x β_x - α_x β_z) z x⁆
424 | ⁅+ α_(z x) β_(y z) x y - α_(z x) β_(z x) x x + α_(z x) β_(x y) zy + α_(z x) β_(x y z) zy z⁆
425 | ⁅n⒞k = (n!)/(k!(n - k)!)⁆
426 | ⁅ⅉ⁆
427 | ⁅𝑊^𝜌ⁿ𝛿₁⁆
428 | ⁅☁(red&1/2/3/345)⁆
429 | ⁅a /¬ b⁆
430 | ⁅z⁆
431 | ⁅w^h^e^e^e^e+1a+"Testing this!"-(1/2/333/4+1+1)+abc₂⁹/W_c+ab+√(42&1g)+▭(255&▭(255&b))+∑_A▒a+1+∑┴a┬b▒b⁆
432 | ⁅∀ A, B, C ∈ 𝒢 ⟹ A \⌋ (B + C) = A \⌋ B + A \⌋ C⁆
433 | ⁅├1]α, β┤1)⁆
434 | ⁅⟨ α_1 + α_x x + α_y y + α_z z + α_(y z) yz + α_(z x) z x + α_(x y) x y + α_(x y z) x y z ⟩_+⁆
435 | ⁅○(sin(α))⁆
436 | ⁅A (B + C) = A B + A C⁆
437 | ⁅a͖⁆
438 | ⁅⟨ α_1 + α_x x + α_y y + α_z z + α_(y z) yz + α_(z x) z x + α_(x y) x y + α_(x y z) x y z ⟩_-⁆
439 | ⁅\playground/⁆
440 | ⁅= (α_x x + α_y y + α_z z)(α_x x + α_y y + α_z z)⁆
441 | ⁅x y = -y x, x z = -z x, y z = -z y⁆
442 | ⁅≝ \approx =┴"def"⁆
443 | ⁅√(a+(b))⁆
444 | ⁅π_(ￗ(X)←ￗ(A)+ￗ(C), ￗ(Y)←¬ￗ(B), ￗ(Z)←ￗ("LEGO")) (R)⁆
445 | ⁅` ([___U+2045___]) starts a math zone and `⁆
446 | ⁅+ α_(z x) β_1 z x + α_(z x) β_x z x x + α_(z x) β_y z x y + α_(z x) β_z z x z +⁆
447 | ⁅+ β_1 + α_x x β_x x + α_x x β_y y + α_x x β_z z +⁆
448 | ⁅α_y y β_(y z) y z + α_y y β_(z x) z x + α_y y β_(x y) x y + α_y y β_(x y z) x y z⁆
449 | ⁅a b⁆
450 | ⁅+┬✎(red&c)⁆
451 | ⁅a^(1_2)_3_4⁆
452 | ⁅⏟α_β⁆
453 | ⁅⇳(a/b/b/b/b/b)+1⁆
454 | ⁅1⁄2⁆
455 | ⁅a"0"b⁆
456 | ⁅(_3)F⁆
457 | ⁅(β_x x + β_y y + β_z z)⁆
458 | ⁅α_x x + α_y y + α_x z⁆
459 | ⁅∰_1^n▒f(x)⁆
460 | ⁅ℕ_+⁆
461 | ⁅∮16_α▒β⁆
462 | ⁅f̂(ξ)=∫_-∞^∞▒f(x)ⅇ^(-2πⅈxξ)ⅆx⁆
463 | ⁅a^+̸/2⁆
464 | ⁅f(ξ)=∫_a▒f(x)ⅇ^(2πⅈxξ) ⅆx#[1]⁆
465 | ⁅+ α_x β_1 x + α_x β_x x x + α_x β_y x y + α_x β_z x z +⁆
466 | ⁅∀ A, B, C ∈ 𝒢 ⟹ (A + B) \⌋ C = A \⌋ C + B \⌋ C⁆
467 | ⁅∀ A, B, C ∈ 𝒢 ⟹ (A + B) ∧ C = A ∧ C + B ∧ C⁆
468 | ⁅\notacontrolword⁆
469 | ⁅f̂(ξ)=∫_-∞^∞▒f(x)ⅇ^-2πⅈxξ ⅆx#[42]⁆
470 | ⁅α! + β‼⁆
471 | ⁅+ α_y β_(y z) z + α_y β_(z x) x y z - α_y β_(x y) x - α_y β_(x y z) x z⁆
472 | ⁅©(a@b)⁆
473 | ⁅a⁗⁗'⁗‴⁆
474 | ⁅Δx⁆
475 | ⁅lim²_(a→∞) sin²(a) = 42⁆
476 | ⁅1+"tes\"t"#(this is an equation number)⁆
477 | ⁅1/2𝜋 ∫_0^2𝜋▒ⅆ𝜃/(𝑎+𝑏 sin𝜃)=1/√(𝑎^2−𝑏^2)⁆
478 | ⁅+ α_y β_1 y - α_y β_x x y + α_y β_y y^2 + α_y β_z y z⁆
479 | ⁅b_1+_1^2 c⁆
480 | ⁅+ α_(x y z) β_1 x y z + α_(x y z) β_x x x y z - α_(x y z) β_y x y^2z + α_(x y z) β_z x y 1⁆
481 | ⁅= α_1 β_1 + α_1 β_x x + α_1 β_y y + α_1 β_z z +⁆
482 | ⁅α_(y z) yz + α_(z x) z x + α_(x y) x y + α_(x y z) x y z⁆
483 | ⁅θ²⁆
484 | ⁅a″⁆
485 | ⁅1, 15, 17/41, 2√3, -π, ...⁆
486 | ⁅= (α_x x + α_y y + α_x z) ∧ (β_x x + β_y y + β_z z)⁆
487 | ⁅+ (α_x β_x - α_x β_z) zx⁆
488 | ⁅= α_1 + α_(y z) yz + α_(z x) z x + α_(x y) x y + α_(x y z) x y z⁆
489 | ⁅a b⁆
490 | ⁅W_δ₁ρ₁σ₂^3β=U_δ₁ρ₁^3β+1/8π^2∫_α₁^α₂▒dα'₂[(U_δ₁ρ₁^2β-α'₂U_ρ₁σ₂^1β)/U_ρ₁σ₂^0β]⁆
491 | ⁅"α"⁆
492 | ⁅y⁆
493 | ⁅├a)⁆
494 | ⁅y z = -z y, z x = -x z, x y = -y x⁆
495 | ⁅w⁆
496 | ⁅- α_x β_(y z) y + α_x β_(z x) x + α_x β_(x y) x y z + α_x β_(x y z) x y⁆
497 | ⁅π⁆
498 | ⁅+ α_y β_1 y - α_y β_x x y + α_y β_y + α_y β_z y z⁆
499 | ⁅I(x,x') = g(x,x') [ε(x,x') + ∫_S▒ρ(x,x',x'')I(x',x'')ⅆx'']⁆
500 | ⁅✎(yellow&42)⁆
501 | ⁅^1_2 F_3^4⁆
502 | ⁅a b⁆
503 | ⁅⒨(a & b& c&d @ c& d )⁆
504 | ⁅a b⁆
505 | ⁅1a+"Testing this!"-(1/2/3/4+1+1)+abc₂⁹/W_c+ab+√(e&1g)+▭(255&b)+∑_A▒a+1+∑┬a▒b⁆
506 | ⁅a_-a⁆
507 | ⁅(■(a+1&y+2@c&d))⁆
508 | ⁅lim_(a→∞)⁆
509 | ⁅⬌(⬆(a/b/c/d/e))+b⁆
510 | ⁅W_δ₁ρ₁σ₂^3β=U_δ₁ρ₁^3β+1/8π^2∫_α₁^α₂▒dα'₂[(U_δ₁ρ₁^2β-α'₂U_δ₁ρ₁^1β)/U_δ₁ρ₁^0β]⁆
511 | ⁅"rate" = "distance" / "time".⁆
512 | ⁅1/2⁆
513 | ⁅∫_α₂⁆
514 | ⁅A_2⁆
515 | ⁅abc⃟⁆
516 | ⁅1/2π ∫_0^(2⬌(π))▒ⅆθ/(a+b sinθ) = 1/√(a^2-b^2).⁆
517 | ⁅(■(a&b@c&d))⁆
518 | ⁅∫_-∞^▢(+∞)⁆
519 | ⁅α_(y z) β_(y z) y z y z + α_(y z) β_(z x) y z z x + α_(y z) β_(x y) y z x y + α_(y z) β_(x y z) y z x y z⁆
520 | ⁅^* : 𝒢 → 𝒢⁆
521 | ⁅ρ⁆
522 | ⁅- α_(z x) β_(y z) x z y z - α_(z x) β_(z x) x z z x + α_(z x) β_(x y) z x^2y + α_(z x) β_(x y z) z x^2y z⁆
523 | ⁅= α_x^2 x^2 + α_x α_y x y + α_x α_z x z + α_x α_y y x + α_y^2 y^2 + α_y α_z y z + α_x α_z z x + α_y α_z z y + α_z^2 z^2⁆
524 | ⁅├1]1/2┤4[⁆
525 | ⁅+ α_(x y z) β_1 x y z + α_(x y z) β_x y z + α_(x y z) β_y z x + α_(x y z) β_z x y⁆
526 | ⁅√(δ&α)⁆
527 | ⁅n⁆
528 | ⁅ￗ(let ) x=1 ￗ( in )f(y) = y + x ⇒ f(y) = y + 1⁆
529 | ⁅- α_(x y z) β_(y z) x - α_(x y z) β_(z x) x x y - α_(x y z) β_(x y) z - α_(x y z) β_(x y z) y y⁆
530 | ⁅sin x⁆
531 | ⁅∀ A, B, C ∈ 𝒢 ⟹ A ∧ (B + C) = A ∧ B + A ∧ C⁆
532 | ⁅f'(x) = a⁆
533 | ⁅^1_2 〖n^3_4〗 " or " 〖^1_2 n〗^3_4 " instead of " ^1_2 n^3_4.⁆
534 | ⁅√(n&✎(#e01f32&α))⁆
535 | ⁅+ β_1 + α_(y z) y z β_x x + α_(y z) y z β_y y + α_(y z) y z β_z z +⁆
536 | ⁅= α_x x + α_y y + α_z z + α_(x y z) x y z⁆
537 | ⁅a'^c⁆
538 | ⁅sin^2 x⁆
539 | ⁅"𝓋𝓪𝔯𝖎𝚊𝕟t𝑠"⁆
540 | ⁅a b⁆
541 | ⁅α⟡(β)γ⁆
542 | ⁅∫3_a^b▒x⁆
543 | ⁅⎴(sin(a))^("test")⁆
544 | ⁅+ α_(x y z) β_1 x y z + α_(x y z) β_x x y z x + α_(x y z) β_y x y z y + α_(x y z) β_z x y z z +⁆
545 | ⁅∀ a ∈ 𝒢_1, ∀ B ∈ 𝒢 ⟹ B ∧ a = 1/2 (B a + a B^*)⁆
546 | ⁅(a) + [a) + {a) + ⟨a) + 〖a) + ⌈a) + ⌊a)/⁆
547 | ⁅\int\of a⁆
548 | ⁅= α_x β_x + α_y β_y + α_x β_z⁆
549 | ⁅+_+_+_+_+_+_+_+_+_+_+_+^+^+^+^+^+^+^+^+^+^+⁆
550 | ⁅(a│b)⁆
551 | ⁅1 + 4x + 4z x + √3 x y z, 0, 6y + 3z - 2y z, ...⁆
552 | ⁅⟨⟩_- : 𝒢 → 𝒢_-⁆
553 | ⁅- α_(x y) β_(y z) z x + α_(x y) β_(z x) y z - α_(x y) β_(x y) - α_(x y) β_(x y z) z⁆
554 | ⁅+ α_x β_1 z + α_x β_x z x - α_x β_y y z + α_x β_z⁆
555 | ⁅+ α_(z x) β_1 z x + α_(z x) β_x z x^2 - α_(z x) β_y x z y - α_(z x) β_z x z z⁆
556 | ⁅(𝑎 + 𝑏)┴→┬→⁆
557 | ⁅√α⁆
558 | ⁅✎(#269&a+b)⁆
559 | ⁅├)a)⁆
560 | ⁅▭(255&▭(255&▭(255&▭(255&▭(255&▭(255&▭(255&▭(255&spider))))))))⁆
561 | ⁅ⅈ⁆
562 | ⁅_a a_a_a_a_a_a_a_u_g_h⁆
563 | ⁅M_1 M_2⁆
564 | ⁅〖a)⁆
565 | ⁅⫷primes overhaul start⫸⁆
566 | ⁅α⇳(β)γ⁆
567 | ⁅⬌(a/b)+c⁆
568 | ⁅a /= b⁆
569 | ⁅α┬β┴γ⁆
570 | ⁅(pizza^🍕)^🍕⁆
571 | ⁅+ (α_x β_y - α_y β_x) xy⁆
572 | ⁅⬇(a/((a/b)/(a/b)))+b⁆
573 | ⁅sin θ=(e^iθ-e^-iθ)/2i⁆
574 | ⁅𝙲𝙰𝚁𝙳𝚂\_𝙱𝙰𝙳⁆
575 | ⁅+ (α_x β_y - α_y β_x) x y⁆
576 | ⁅w^h^e^e^e^e⁆
577 | ⁅d⁆
578 | ⁅= (α_x β_(z x) - α_y β_(x y)) x + (α_x β_(x y) - α_x β_(y z)) y + (- α_x β_(z x) + α_y β_(y z)) z⁆
579 | ⁅𝐏𝓁𝔞𝚢𝗴𝑟𝖔𝓊𝙣𝕕⁆
580 | ⁅2¹⁶⁆
581 | ⁅1+⟡(31&1/2/3/4/5)+1⁆
582 | ⁅ā+ ̄(a)⁆
583 | ⁅⌊a/b/c⌋⁆
584 | ⁅∫_1^t▒〖ⅆx/x〗#(42)⁆
585 | ⁅𝜌 = ∑_𝜓▒P_𝜓 |𝜓⟩⟨𝜓| + 1⁆
586 | ⁅- α_(y z) β_(y z) - α_(y z) β_(z x) x y + α_(y z) β_(x y) z x - α_(y z) β_(x y z) x y y⁆
587 | ⁅ℲDa + ℲCa + a + ℲAa + ℲBa⁆
588 | ⁅α_β^γ⁆
589 | ⁅{x_i_1, ..., x_i_m}⁆
590 | ⁅y=G(x)⁆
591 | ⁅0⁆
592 | ⁅▭(8&✎(#e01f32&α))⁆
593 | ⁅a^+_2⁆
594 | ⁅(a|b|c)⁆
595 | ⁅|a(x,y)/Δx|a≪1\⁆
596 | ⁅(a + b)^n = ∑1_(k=0)^n▒(n¦k) a^k b^(n-k)⁆
597 | ⁅a ≠ b⁆
598 | ⁅a+b\+c⁆
599 | ⁅_✎(#e01f32&α)^✎(#18a199&β) ✎(#467bc4&γ)⁆
600 | ⁅+ α_(y z) β_1 y z + α_(y z) β_x x y z - α_(y z) β_y z + α_(y z) β_z y⁆
601 | ⁅+ β_1 + α_(x y z) x y z β_x x + α_(x y z) x y z β_y y + α_(x y z) x y z β_z z +⁆
602 | ⁅_1^b ^a_2⁆
603 | ⁅`delimited`⁆
604 | ⁅a ⟕_(a.a=b.b) b⁆
605 | ⁅∀ A, B, C ∈ 𝒢 ⟹ (A + B) \⌊ C = A \⌊ C + B \⌊ C⁆
606 | ⁅+ α_(x y) β_1 x y - α_(x y) β_x y + α_(x y) β_y x + α_(x y) β_z x y z⁆
607 | ⁅1, x, y, z, y z, z x, x y, x y z⁆
608 | ⁅ⅆx⁆
609 | ⁅├3(├1((a)┤1)┤3) /= (((a))).⁆
610 | ⁅ℲBα ℲAβ γ ℲCδ ℲDε⁆
611 | ⁅+ (α_y β_z - α_x β_y) y z⁆
612 | ⁅ⅈ²=-1⁆
613 | ⁅W_δ₁ρ₁σ₂^3β⁆
614 | ⁅α_(y z) y z β_(y z) y z + α_(y z) y z β_(z x) z x + α_(y z) y z β_(x y) x y + α_(y z) y z β_(x y z) x y z⁆
615 | ⁅{■(a@b)〗§⁆
616 | ⁅w_(a^b)⁆
617 | ⁅a b⁆
618 | ⁅+ β_1 + α_x z β_x x + α_x z β_y y + α_x z β_z z +⁆
619 | ⁅A_n \⌊ B_m = ⟨ A_n B_m ⟩_{n-m}⁆
620 | ⁅(■(1&2&3@4&5&6@7&8&9@10)).⁆
621 | ⁅(a) + [a) + {a) + ⟨a) + 〖a) + ⌈a) + ⌊a)⁆
622 | ⁅"𝐯𝑎𝒓𝗂𝗼𝘶𝙨"⁆
623 | ⁅𝑊^3𝛽_𝛿₁𝜌₂𝜎₃⁆
624 | ⁅- α_(y z) β_(y z) zy^2z + α_(y z) β_(z x) y 1 x + α_(y z) β_(x y) zy y x + α_(y z) β_(x y z) y x z z y⁆
625 | ⁅a+{(1]/4⟩ 📌+1 Jⁱ⁼⁵ |_a⁆
626 | ⁅⫷scripts overhaul end⫸⁆
627 | ⁅+ (α_1 β_(x y) + α_(x y) β_1 + α_x β_y - α_y β_x + α_x β_(x y z) + α_(x y z) β_z + α_(z x) β_(y z) - α_(y z) β_(z x)) x y⁆
628 | ⁅[(𝑥₁, 𝑦₁), (𝑥₂, 𝑦₂), ⋯]⁆
629 | ⁅✎(#e01f32&α)⁄✎(#18a199&β)⁆
630 | ⁅(_3)F_3⁆
631 | ⁅a!/b!⁆
632 | ⁅+ α_x β_1 x + α_x β_x x^2 + α_x β_y x y - α_x β_z z x⁆
633 | ⁅⏞(x+⋯+x)^(k " times")⁆
634 | ⁅sinx⁆
635 | ⁅8 + 6 x y⁆
636 | ⁅α/β⁆
637 | ⁅⟡(a)+1⁆
638 | ⁅("a") ̂ ⫷correct way of entering a non-italicized but diacriticized character⫸⁆
639 | ⁅+ α_x β_(y z) x y z - α_x β_(z x) z + α_x β_(x y) y + α_x β_(x y z) y z⁆
640 | ⁅⒨(a&b&c&d@c&d)⁆
641 | ⁅+ (α_1 β_z + α_x β_1 + α_(z x) β_x - α_x β_(z x) + α_y β_(y z) - α_(y z) β_y - α_(x y) β_(x y z) - α_(x y z) β_(x y)) z⁆
642 | ⁅= α_x x α_x x + α_x x α_y y + α_x x α_z z + α_y y α_x x + α_y y α_y y + α_y y α_z z + α_z z α_x x + α_z z α_y y + α_z z α_z z⁆
643 | ⁅▭(E=mc^2)⁆
644 | ⁅⫷primes overhaul end⫸⁆
645 | ⁅x y z⁆
646 | ⁅"So long" ∧ "thanks" ∀ "🐟🐠🐡".⁆
647 | ⁅a'⁆
648 | ⁅K_c (r) = 𝟏_[¼,¾] (r) + ½ × 𝟏_[0,¼] (r)⁆
649 | ⁅⏟(a^c_b)_(⏟(a^c_b)_(⏟(a^c_b)_(⏟(a^c_b)_(⏟(a^c_b)_(d)))))⁆
650 |
651 |
656 |
657 |
658 |
659 |
660 |
--------------------------------------------------------------------------------
/src/integration/unicodemathml-integration.js:
--------------------------------------------------------------------------------
1 | // Integration of the UnicodeMathML translator into Markdeep or plain HTML.
2 | (function(root) {
3 | 'use strict';
4 |
5 | // check if UnicodeMathML is loaded
6 | var umml = (typeof ummlParser === "object") && (typeof unicodemathml === "function");
7 |
8 | if (!umml) {
9 | (typeof ummlParser === "object") || console.log("There's a problem with the UnicodeMathML integration: It seems like the parser isn't loaded.");
10 | (typeof unicodemathml === "function") || console.log("There's a problem with the UnicodeMathML integration: It seems like the translator isn't loaded.");
11 | }
12 |
13 |
14 | ////////////////////////
15 | // OPTIONS PROCESSING //
16 | ////////////////////////
17 |
18 | // initialize with defaults (this variable has the same name as the config used
19 | // by the playground – but really only the resolveControlWords key is shared)
20 | var ummlConfig = {
21 | showProgress: true,
22 | resolveControlWords: false,
23 | customControlWords: undefined, // a dictionary, e.g. {'playground': '𝐏𝓁𝔞𝚢𝗴𝑟𝖔𝓊𝙣𝕕'}
24 | doubleStruckMode: "us-tech", // "us-tech" (ⅆ ↦ 𝑑), "us-patent" (ⅆ ↦ ⅆ), "euro-tech" (ⅆ ↦ d), see section 3.11 of the tech note
25 | before: Function.prototype,
26 | after: Function.prototype
27 | };
28 |
29 | // if set, override defaults with user-specified options
30 | if (typeof unicodemathmlOptions !== "undefined") {
31 | ummlConfig = Object.assign({}, ummlConfig, unicodemathmlOptions);
32 | }
33 |
34 |
35 | ////////////////////////
36 | // EXTRACTION/MARKING //
37 | ////////////////////////
38 |
39 | // note that the protect function is required for markdeep, it's probably less
40 | // relevant in other contexts
41 | function markUnicodemathInHtmlCode(code, protect = x => x) {
42 |
43 | // ES2018's lookbehind, i.e. (?<=^|[^\\]), would be really handy here, but
44 | // sadly it's only supported by a small subset of browsers yet (see
45 | // https://caniuse.com/#search=lookbehind), so we need to capture the
46 | // preceding char and return it unchanged (this breaks directly adjacent
47 | // math zones, but that seems like an uncommon use case and can't be helped,
48 | // i guess?)
49 | code = code.replace(/(^|[^\\])⁅([^⁆]*?[^\\])⁆/gi, function (unicodemathWithDelimiters, prec, unicodemath) {
50 |
51 | // markdeep appears to convert non-breaking spaces to entities
52 | // (although i can't find where exactly this is done in its source code
53 | // – so maybe the browser does it? it's not happening in the html
54 | // integration, though), so invert this mapping
55 | unicodemathWithDelimiters = unicodemathWithDelimiters.replace(/ /g, "\u00A0");
56 | unicodemath = unicodemath.replace(/ /g, "\u00A0");
57 |
58 | var placeholder = document.createElement("span");
59 | placeholder.classList.add("unicodemathml-placeholder");
60 |
61 | // any <, >, and & contained in the original unicodemath expression will
62 | // be escaped as <, > and & when we return courtesy of
63 | // .outerHTML, so keep the original, unchanged expression around in a
64 | // data attribute
65 | // see also: https://casual-effects.com/markdeep/features.md.html#less-thansignsincode
66 | // and: http://docs.mathjax.org/en/latest/input/tex/html.html
67 | placeholder.setAttribute("data-unicodemath", encodeURIComponent(unicodemath));
68 |
69 | // keep original in case no translation to mathml is performed
70 | placeholder.innerText = unicodemathWithDelimiters;
71 |
72 | return prec + protect(placeholder.outerHTML);
73 | });
74 |
75 | // remove backslashes from escaped math delimiters for rendering
76 | return code.replace(/\\⁅/g, '⁅').replace(/\\⁆/g, '⁆');
77 | }
78 |
79 | function markUnicodemathInHtmlDom(node) {
80 | if (node === undefined) {
81 | node = document.body;
82 | }
83 |
84 | // via https://stackoverflow.com/a/4793630
85 | var insertAfter = (newNode, referenceNode) => {
86 | referenceNode.parentNode.insertBefore(newNode, referenceNode.nextSibling);
87 | }
88 |
89 | switch (node.nodeType) {
90 | case Node.ELEMENT_NODE:
91 |
92 | // ignore the contents of these tags
93 | if (["PRE", "CODE", "TEXTAREA", "SCRIPT", "STYLE", "HEAD", "TITLE"].includes(node.tagName)) {
94 | break;
95 | }
96 |
97 | // recurse
98 | node.childNodes.forEach(markUnicodemathInHtmlDom);
99 |
100 | break;
101 |
102 | case Node.TEXT_NODE:
103 |
104 | // extraction and processing of math zones works in precisely the same
105 | // way as in markUnicodemathInHtmlCode, except special handling of
106 | // entities is not needed here
107 | var code = node.textContent.replace(/(^|[^\\])⁅([^⁆]*?[^\\])⁆/gi, function (unicodemathWithDelimiters, prec, unicodemath) {
108 | var placeholder = document.createElement("span");
109 | placeholder.classList.add("unicodemathml-placeholder");
110 | placeholder.setAttribute("data-unicodemath", encodeURIComponent(unicodemath));
111 | placeholder.innerText = unicodemathWithDelimiters;
112 | return prec + placeholder.outerHTML;
113 | }).replace(/\\⁅/g, '⁅').replace(/\\⁆/g, '⁆');
114 |
115 | // create temporary div element to convert html code into a nodelist
116 | var tmp = document.createElement("div");
117 | tmp.innerHTML = code;
118 |
119 | // traverse this nodelist in reverse, inserting each node after the
120 | // initial text node in (now reverse) order, which seems unintuitive
121 | // but works correctly
122 | for (var i = tmp.childNodes.length - 1; i >= 0; i--) {
123 | insertAfter(tmp.childNodes[i], node);
124 | }
125 |
126 | // finally, remove the now-obsolete initial text node
127 | node.parentNode.removeChild(node);
128 |
129 | break;
130 |
131 | default:
132 | break;
133 | }
134 | }
135 |
136 |
137 | ///////////////////////////
138 | // TRANSLATION/RENDERING //
139 | ///////////////////////////
140 |
141 | async function renderMarkedUnicodemath(node) {
142 | if (node === undefined) {
143 | node = document.body;
144 | }
145 |
146 | // note that getting the status to update properly took some work – i only
147 | // got it to wirk with this weird semi-cps-transformed async/await/
148 | // requestAnimationFrame approach, which seems overly complicated
149 | function showProgress(totalNum) {
150 | return new Promise((f) => {
151 | if (document.getElementById("unicodemathml-progress")) {
152 |
153 | // reset progress indicator
154 | document.getElementById("unicodemathml-progress-counter").innerText = "0";
155 | document.getElementById("unicodemathml-progress-errors").innerHTML = "";
156 | document.getElementById("unicodemathml-progress").style.display = "block";
157 | requestAnimationFrame(f);
158 | } else {
159 |
160 | // add CSS rules for progress and errors
161 | var styleElement = document.createElement("style");
162 | styleElement.type = "text/css";
163 | styleElement.innerText = `
164 | #unicodemathml-progress {
165 | position: fixed;
166 | right: 0;
167 | bottom: 0;
168 | border: 1px solid #ccc;
169 | background-color: #eee;
170 | margin: 1px;
171 | font: 12px sans-serif;
172 | padding: 0 1px;
173 | z-index: 9001;
174 | }
175 | .unicodemathml-error {
176 | color: red;
177 | }
178 | .unicodemathml-error-unicodemath:before {
179 | content: '⁅';
180 | }
181 | .unicodemathml-error-unicodemath:after {
182 | content: '⁆';
183 | }
184 | .unicodemathml-error-message {
185 | display: none;
186 | }
187 | .unicodemathml-error:hover .unicodemathml-error-message {
188 | display: inline;
189 | }
190 | `
191 | document.head.appendChild(styleElement);
192 |
193 | // create progress indicator
194 | var progress = document.createElement("div");
195 | progress.innerHTML = 'Translating UnicodeMath to MathML (0/' + totalNum + ')
';
196 | document.body.appendChild(progress.childNodes[0]);
197 | requestAnimationFrame(f);
198 | }
199 | });
200 | }
201 | function updateProgress(currNum, errorNum) {
202 | return new Promise((f) => {
203 | document.getElementById("unicodemathml-progress-counter").innerText = currNum;
204 | if (errorNum > 0) {
205 | document.getElementById("unicodemathml-progress-errors").innerHTML = ', with ' + errorNum + ' error' + (errorNum == 1 ? "" : "s") + '';
206 | }
207 | requestAnimationFrame(f);
208 | });
209 | }
210 | function hideProgress() {
211 | return new Promise((f) => {
212 | document.getElementById("unicodemathml-progress").style.display = "none";
213 | requestAnimationFrame(f);
214 | });
215 | }
216 |
217 | // run before hook
218 | ummlConfig.before();
219 |
220 | // initialize cache
221 | var cache = {};
222 |
223 | // extract unicodemath expressions from node
224 | var unicodemathPlaceholders = Array.from(node.querySelectorAll("span.unicodemathml-placeholder"));
225 |
226 | // show a progress message
227 | var progressUpdated = Date.now();
228 | if (ummlConfig.showProgress) await showProgress(unicodemathPlaceholders.length);
229 |
230 | // work our way through
231 | var errors = 0;
232 | for (var i = 0; i < unicodemathPlaceholders.length; i++) {
233 |
234 | var elem = unicodemathPlaceholders[i];
235 |
236 | // extract unicodemath expression
237 | var unicodemath = decodeURIComponent(elem.getAttribute("data-unicodemath"));
238 |
239 | // determine whether the expression should be rendered in displaystyle
240 | // (i.e. iff it is the only child of a , the determination of which 241 | // is made a bit annoying by the presence of text nodes) 242 | var displaystyle = elem.parentNode && 243 | elem.parentNode.nodeName == "P" && 244 | Array.from(elem.parentNode.childNodes).filter(node => { // keep everything that's... 245 | return node.nodeType !== Node.TEXT_NODE || // ...not a text node... 246 | node.nodeValue.trim().length != 0; // ...or a text node with non-zero length after whitespace removal... 247 | }).length == 1; // ...and check if the result has cardinality 1 (i.e. contains only the unicodemath placeholder) 248 | 249 | var mathml; 250 | 251 | // check whether we've translated this unicodemath expression in this 252 | // style before 253 | var cacheAddress = (displaystyle? "1" : "0") + unicodemath; 254 | if (cache.hasOwnProperty(cacheAddress)) { 255 | 256 | // i'm making a note here: huge success – it's hard to overstate my 257 | // satisfaction 258 | mathml = cache[cacheAddress]; 259 | } else { 260 | 261 | // seems like we haven't 262 | var t = unicodemathml(unicodemath, displaystyle); 263 | mathml = t.mathml; 264 | if (t.details.error) { 265 | errors++; 266 | } else { 267 | cache[cacheAddress] = mathml; 268 | } 269 | } 270 | 271 | // replace span with math 272 | elem.outerHTML = mathml; 273 | 274 | // update progress message if at least 200 ms have elapsed since the 275 | // last update (this speeds up things considerably versus updating it on 276 | // every iteration – drawing is expensive, which is why browsers avoid 277 | // it by default within functions!) 278 | if (ummlConfig.showProgress && Date.now() >= progressUpdated + 200) { 279 | progressUpdated = Date.now(); 280 | await updateProgress(i+1, errors); 281 | } 282 | } 283 | 284 | // hide progress message 285 | if (ummlConfig.showProgress) await hideProgress(); 286 | 287 | // tell mathjax to rerender the document 288 | if (typeof MathJax != "undefined") { 289 | MathJax.Hub.Queue(["Typeset", MathJax.Hub, node]); 290 | } 291 | 292 | // run after hook 293 | ummlConfig.after(); 294 | } 295 | 296 | 297 | //////////////////////////////////////////////////////////////////////////////// 298 | 299 | // translates all mathml expressions on the page, should be called like 300 | // document.body.onload = renderUnicodemath(); 301 | function renderUnicodemath() { 302 | markUnicodemathInHtmlDom(); 303 | renderMarkedUnicodemath(); 304 | } 305 | 306 | root.umml = umml; 307 | root.ummlConfig = ummlConfig; 308 | root.markUnicodemathInHtmlCode = markUnicodemathInHtmlCode; 309 | root.markUnicodemathInHtmlDom = markUnicodemathInHtmlDom; 310 | root.renderMarkedUnicodemath = renderMarkedUnicodemath; 311 | root.renderUnicodemath = renderUnicodemath; 312 | 313 | })(this); 314 | -------------------------------------------------------------------------------- /test/Dictation.html: -------------------------------------------------------------------------------- 1 | 2 | 3 |
4 | 5 |20 | History 21 | 22 | 23 | 24 |
25 | 26 | 27 | 28 | 29 | 30 | 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 61 | 62 | 63 | 81 | 82 | 83 | 84 | 85 | 86 | 87 | 88 | 89 | -------------------------------------------------------------------------------- /test/test.js: -------------------------------------------------------------------------------- 1 | (function (root) { 2 | 'use strict'; 3 | 4 | var mathDictation = [ 5 | 'a ^2 + b ^2 = c ^2', 6 | 'One over two pi space integral from zero to 2π of D theta over left paren a + b sine theta right paren equals one over square root of left paren a ^2 - b ^2 right paren', 7 | 'Integral from minus infinity to infinity of e to the minus x ^2 dx equals square root of pi', 8 | 'left paren a plus b right paren to the n equals sum from k = 0 to n of left paren n atop k right paren a to the k space b to the begin n - k end', 9 | 'a hat plus b tilde - c dot + d double dot', 10 | 'left brace a + b right brace + left bracket c + d right bracket + left paren q + r right paren left arrow right arrow', 11 | 'fraktur H not equals script H not equals bold cap H', 12 | 'one third a equals b', 13 | 'root n minus one of x', 14 | 'a backslash le b', 15 | 'I H bar space partial over partial T space cap sigh left paren X comma t ) equals [minus h bar squared over 2M space space partial squared over partial X ^2 plus cap V left paren X comma t )] cap psi left paren X comma t right paren', 16 | 'determinant a and b next c and d end determinant', 17 | 'matrix a and b next c and d end matrix', 18 | 'a not less than or equal to b', 19 | 'left bracket a comma a dagger right bracket equals a a dagger minus a dagger a = 1', 20 | 'left angle bracket psi vertical bar script cap h vertical bar psi right angle bracket', 21 | 'derivative of f of x with respect to x = second derivative of f of x with respect to x = second partial derivative of f of x comma y with respect to x = 0', 22 | 'X equals left paren minus B plus or minus square root of left paren b ^2 - 4 A C right paren right paren over 2A', 23 | 'Del cross bold cap e equals minus partial derivative of bold cap b with respect to t', 24 | 'sine squared x plus cosine squared x equals one', 25 | 'sine left paren alpha + beta right paren equals sine alpha space cosine beta + cosine alpha space sine beta', 26 | 'limit as N goes to infinity of ( 1 + 1 / n ) to the N equals e', 27 | 'Quote rate quote equals quote distance quote over quote time quote space', 28 | 'real part of e to the -i omega t equals cosine omega t', 29 | 'identity matrix of size 3', 30 | '2 by 3 matrix', 31 | 'absolute value of x equals cases if x greater than or equal to 0 comma ampersand x next if x less than 0 comma ampersand - x close', 32 | 'left paren a plus b right paren raised to the nth power equals 1', 33 | 'fraction a plus b over c plus d end fraction', 34 | 'two thirds', 35 | 'open interval from minus infinity to 3 end interval', 36 | 'closed open interval from 3 to b end interval', 37 | ]; 38 | 39 | var unicodeMath = [ 40 | '𝑎²+𝑏²=𝑐²', // 0 41 | '1/2𝜋 ∫_0^2𝜋 ⅆ𝜃/(𝑎+𝑏 sin𝜃)=1/√(𝑎²−𝑏²)', // 1 42 | '∫_−∞^∞ 𝑒^−𝑥² ⅆ𝑥=√𝜋', // 2 43 | '(𝑎+𝑏)^𝑛=∑_(𝑘=0)^𝑛 (𝑛¦𝑘)𝑎^𝑘 𝑏^〖𝑛−𝑘〗', // 3 44 | '𝑎̂ +𝑏̃ −𝑐̇ +𝑑̈ ', // 4 45 | '{𝑎+𝑏}+[𝑐+𝑑]+(𝑞+𝑟)←→', // 5 46 | '𝔥≠𝒽≠𝐇', // 6 47 | '⅓𝑎=𝑏', // 7 48 | '⒭𝑛−1▒𝑥', // 8 49 | '𝑎\\le 𝑏', // 9 50 | '𝑖ℏ 𝜕/𝜕𝑡 Ψ(𝑥,𝑡)=[−ℏ²/2𝑚 𝜕²/𝜕𝑥²+𝑉(𝑥,𝑡)]Ψ(𝑥,𝑡)', // 10 51 | '⒱(𝑎&𝑏@𝑐&𝑑)', // 11 52 | '⒨(𝑎&𝑏@𝑐&𝑑)', // 12 53 | '𝑎≰𝑏', // 13 54 | '[𝑎,𝑎^† ]=𝑎𝑎^† −𝑎^† 𝑎=1', // 14 55 | '⟨𝜓|ℋ|𝜓⟩', // 15 56 | 'ⅆ𝑓(𝑥)/ⅆ𝑥=ⅆ²𝑓(𝑥)/ⅆ𝑥²=𝜕^2 𝑓(𝑥,𝑦)/𝜕𝑥²=0', // 16 57 | '𝑥=(−𝑏±√(𝑏²−4𝑎𝑐))/2𝑎', // 17 58 | '∇⨯𝐄=−𝜕𝐁/𝜕𝑡', // 18 59 | 'sin²𝑥+cos²𝑥=1', // 19 60 | 'sin(𝛼+𝛽)=sin𝛼 cos𝛽+cos𝛼 sin𝛽', // 20 61 | 'lim _(𝑛→∞) (1+1/𝑛)^𝑛=𝑒', // 21 62 | '\"rate\"=\"distance\"/\"time\" ', // 22 63 | 'Re⒡𝑒^−𝑖𝜔𝑡=cos𝜔𝑡', // 23 64 | '⒨3', // 24 65 | '2×3⒨', // 25 66 | '⒜𝑥=Ⓒ〖"if "𝑥≥0,&𝑥@"if "𝑥<0,&−𝑥〗', // 26 67 | '(𝑎+𝑏)^𝑛 =1', // 27 68 | '⍁𝑎+𝑏&𝑐+𝑑〗', // 28 69 | '⅔', // 29 70 | ']−∞,3[', // 30 71 | '[3,𝑏)', // 31 72 | ]; 73 | 74 | function testDictation() { 75 | var iSuccess = 0; 76 | for (var i = 0; i < mathDictation.length; i++) { 77 | var result = dictationToUnicodeMath(mathDictation[i]); 78 | if (result != unicodeMath[i]) { 79 | console.log("Expect: " + unicodeMath[i] + '\n'); 80 | console.log("Result: " + result + '\n\n'); 81 | } else { 82 | iSuccess++; 83 | } 84 | } 85 | var iFail = mathDictation.length - iSuccess; 86 | console.log(iSuccess + " passes; " + iFail + " failures\n"); 87 | } 88 | input.addEventListener("keydown", function (e) { 89 | if (e.key == 'Enter') { 90 | e.preventDefault(); 91 | var result = dictationToUnicodeMath(input.value); 92 | console.log(input.value + '\n' + result + '\n\n'); 93 | output.value = result; 94 | } 95 | }); 96 | 97 | root.testDictation = testDictation; 98 | })(this); 99 | -------------------------------------------------------------------------------- /utils/benchmark.txt: -------------------------------------------------------------------------------- 1 | "A COLLECTION OF 628 UNICODEMATH EXPRESSIONS FROM VARIOUS SOURCES" 2 | x + 2y + 3z 3 | 1+▭(⟡(1&1/2/3/4/5)) 4 | = α_x^2 1 + α_y^2 1 + α_z^2 1 + (α_y α_z y z - α_y α_z y z) + (α_x α_z z x - α_x α_z z x) + (α_x α_y x y - α_x α_y x y) 5 | A^* = \sum_{r}{ (-1)^r ⟨ A ⟩_r } = ⟨ A ⟩_+ - ⟨ A ⟩_- 6 | 𝑊_𝛿₁ⁿ𝜌ⁿⁿa_2 7 | - 6y z + 4z x + 2x y = (2x + 3y) ∧ (y - 2z) 8 | ├1]a┤[ 9 | 3/5 x + √z 10 | α_(z x) z x β_(y z) y z + α_(z x) z x β_(z x) z x + α_(z x) z x β_(x y) x y + α_(z x) z x β_(x y z) x y z 11 | |(|x| - |y|)| 12 | lim▒_(n→∞) a_n 13 | {v_i: i \in {1,2,3,4,5}} 14 | - α_x β_(y z) z^2y + α_x β_(z x) 1 x + α_x β_(x y) x y z + α_x β_(x y z) x y z z 15 | /+' 16 | a_b^c 17 | ▭(128&✎(#e01f32&α)) 18 | y z, x z, x y 19 | (a+b) ̂ 20 | ⅇ 21 | A (B C) = (A B) C = A B C 22 | (ℕ_+)⃗ 23 | a/b 24 | ▢(a+b*⟌(a+b)) 25 | mⁿ₋₃₌₍₂₋₅₎ 26 | + α_y β_(y z) 1 z + α_y β_(z x) x y z - α_y β_(x y) x y^2 - α_y β_(x y z) x y^2z 27 | a b 28 | x 29 | ⫷scripts overhaul start⫸ 30 | α 31 | x^2 = y^2 = z^2 = 1 32 | ✎(#e01f32&α)⊘✎(#18a199&β) 33 | a_2 34 | a₉^+-b₁ 35 | █(10&x+&3&y=2@3&x+&13&y=4) 36 | z w 37 | + (α_1 β_(x y z) + α_(x y z) β_1 + α_x β_(y z) + α_(y z) β_x + α_y β_(z x) + α_(z x) β_y + α_x β_(x y) + α_(x y) β_z) x y z 38 | (a│b)/ 39 | β_(y z) yz + β_(z x) z x + β_(x y) x y + β_(x y z) x y z\) 40 | ∀ A, B, C ∈ 𝒢 ⟹ A \⌊ (B + C) = A \⌊ B + A \⌊ C 41 | sinx 42 | f'(t) = 8 ((1-cos〖\theta/2〗)/(1+cos〖\theta/2〗) sin〖\theta/2〗)^2 (t-1) t (2t - 1) (6t² - 6t + 1) 43 | \root n+1\of(b+c) 44 | = α_x^2 + α_y^2 + α_z^2 45 | E = mc² 46 | = (α_x x + α_y y + α_x z) 47 | |_〖|_a〗^b 48 | ∧ 49 | ∫1_a^b▒x 50 | 𝒢 51 | 🔭+🌌 52 | 1⊘2 53 | √a+b+d+1/b\of (c/d) 54 | ([^ 55 | ￗ(α) 56 | + β_1 + α_(x y) x y β_x x + α_(x y) x y β_y y + α_(x y) x y β_z z + 57 | = \(α_1 + α_x x + α_y y + α_x z + 58 | ▭(2&✎(#e01f32&α)) 59 | c'^2 60 | a + b_ℲDℲD2 61 | ∫3┬(n→∞)┴b▒x 62 | 123a_11+1234ab/2/W_v_v_v_v_v_v/4/a 63 | test+(_☁(blue&n)^☁(red&n))(1,2)_☁(green&n)^☁(yellow&✎(black&n)) 64 | + (α_1 β_(y z) + α_(y z) β_1 + α_x β_(x y z) + α_(x y z) β_x + α_y β_z - α_x β_y + α_(x y) β_(z x) - α_(z x) β_(x y)) y z 65 | a̼ 66 | 123┴↔ + ↔┴123. 67 | a⁗ 68 | test+(_n^m)(1,2)_n^m 69 | a₂^α 70 | ⟨⟩_r : 𝒢 → 𝒢_r 71 | + α_(z x) β_1 z x + α_(z x) β_x z + α_(z x) β_y x y z - α_(z x) β_z x 72 | ∀ a ∈ 𝒢_1, ∀ B ∈ 𝒢_m ⟹ B \⌊ a = 1/2 (B a - a B^*) 73 | a+⫷stuf\⫸fandthings+1⫸b 74 | - α_(y z) β_(y z) z z + α_(y z) β_(z x) y x + α_(y z) β_(x y) z x + α_(y z) β_(x y z) y x y 75 | α_x z β_(y z) y z + α_x z β_(z x) z x + α_x z β_(x y) x y + α_x z β_(x y z) x y z 76 | lim_(a→∞) a + lim²_(a→∞) a + sin²(a) = 42 77 | _β^γ α 78 | a‼ 79 | a‴ 80 | + α_(x y) β_(y z) x z + α_(x y) β_(z x) y z - α_(x y) β_(x y) y y - α_(x y) β_(x y z) y y z 81 | a b 82 | + α_(x y) β_(y z) x 1 z + α_(x y) β_(z x) y x x z - α_(x y) β_(x y) y x^2y - α_(x y) β_(x y z) y x^2y z 83 | a⃑ 84 | ▭(255&"💩") 85 | + α_(y z) β_1 y z - α_(y z) β_x y x z - α_(y z) β_y zy y + α_(y z) β_z y z^2 86 | 30-50🐗 87 | a b 88 | 3 D 89 | α_1 90 | █(10&x+ & 3&y=2@3&x+&13&y=4) 91 | ∫0_a^b▒x 92 | ∫₀²⁰ √x ⅆx 93 | + α_(z x) β_1 z x + α_(z x) β_x z 1 + α_(z x) β_y x y z - α_(z x) β_z x z^2 94 | ⬍(a/b/c/d/e/f)+c 95 | (a) + (a] + (a} + (a⟩ + (a〗 + (a⌉ + (a⌋ 96 | ⏠(⏟(x+⋯+x)_(k " times and stuff"))^(test_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2) 97 | π_(ￗ(from), ￗ(to)←ￗ(to2)) (σ_(ￗ(to)=ￗ(from2)) (G×π_(ￗ(from2)←ￗ(from), ￗ(to2)←ￗ(to)) (G))) 98 | = α_x^2 x^2 + α_y^2 y^2 + α_z^2 z^2 + α_y α_z y z - α_y α_z y z + α_x α_z z x - α_x α_z z x + α_x α_y x y - α_x α_y x y 99 | ∀ a ∈ 𝒢_1, ∀ B ∈ 𝒢_m ⟹ a \⌋ B = 1/2 (a B - B^* a) 100 | →┴(𝑎 + 𝑏) 101 | v \⌋ B 102 | -1 103 | 𝜌 = ∑_𝜓▒P_𝜓 |𝜓⟩⟨𝜓| , 104 | a_b_b^c 105 | _4 F_1 + _42 F 106 | + α_y β_1 y + α_y β_x y x + α_y β_y y y + α_y β_z y z + 107 | ⟨ α_1 + α_x x + α_y y + α_z z + α_(y z) yz + α_(z x) z x + α_(x y) x y + α_(x y z) x y z ⟩_0 = α_1 108 | 1.25 109 | (α) 110 | (α_x x + α_y y + α_z z)^2 111 | a/ 112 | ▭(4&✎(#e01f32&α)) 113 | W_δ_1 ρ₁ σ₂^3β. 114 | α_(x y z) x y z β_(y z) y z + α_(x y z) x y z β_(z x) z x + α_(x y z) x y z β_(x y) x y + α_(x y z) x y z β_(x y z) x y z 115 | α⊘β 116 | ⅆy/ⅆx=[y-G(x)]/a(x,y). + \int_1\of a 117 | {x ∣ f(x) = 0} 118 | █(1&x+1&3&y=200@10000&x&3&y=2) 119 | ∀ α ∈ 𝒢_0, ∀ B ∈ 𝒢 ⟹ α ∧ B = B ∧ α = α B = B α 120 | ∑_1\of (\forall y\exists 1) ⫷if resolveCW == true⫸ 121 | x_i\times y^n 122 | + α_y β_1 y - α_y β_x x y + α_y β_y 1 + α_y β_z y z 123 | v_1 ∧ v_2 124 | + α_1 β_(y z) y z + α_1 β_(z x) z x + α_1 β_(x y) x y + α_1 β_(x y z) x y z 125 | ⬭(▭(⬭(42))) 126 | ▭(32&✎(#e01f32&α)) 127 | + α_(z x) β_(y z) x z z y - α_(z x) β_(z x) x z^2x + α_(z x) β_(x y) z 1 y + α_(z x) β_(x y z) z 1 y z 128 | a _5^1 F_1 129 | α_(y z) yz + α_(z x) z x + α_(x y) x y + α_(x y z) x y z\) 130 | a⃗ⁿ 131 | ∫_0^a▒〖xⅆx/(x^2+a^2)〗 132 | α̂̌̃́ 133 | = α_1 β_1 + α_1 β_x x + α_1 β_y y + α_1 β_z z 134 | α/β∕γ 135 | α #β 136 | abc+a 137 | a⃢ 138 | a^1_2_3_4 139 | ├]1/2┤4[ 140 | a'⁗‴ 141 | a ∧ b = -b ∧ a 142 | |(a|b−c|d)| 143 | (a^n/b_c)/c 144 | ( _a )a 145 | 300-3.14^10000^2 146 | α'₂^β 147 | + α_x β_(y z) x y z - α_x β_(z x) x x z + α_x β_(x y) x^2 y + α_x β_(x y z) x^2 y z 148 | ∏_(k=0)^n▒n⒞k = H²(n) / (n!)^(n+1) = (∏_(h=0)^n▒h^h) / (n!)^(n+1) 149 | ₁a₁ 150 | a⃒ 151 | a_b_c 152 | \int_0^a xⅆx/(x²+a²) 153 | + α_(z x) β_(y z) x y - α_(z x) β_(z x) - α_(z x) β_(x y) y z - α_(z x) β_(x y z) y 154 | + α_(z x) β_(y z) x y - α_(z x) β_(z x) - α_(z x) β_(x y) y z - α_(z x) β_(x y z) z z y 155 | |x| = {█(&x" if "x ≥ 0@−&x" if "x < 0)┤ 156 | + α_x β_1 x + α_x β_x 1 + α_x β_y x y - α_x β_z z x 157 | (∛a)/3.14159265+{a^b^c^d/2} 158 | x y 159 | = (α_x x + α_y y + α_x z) \⌋ (β_(y z) yz + β_(z x) zx + β_(x y) x y) 160 | ▭(16&✎(#e01f32&α)) 161 | ✎(rgba(255,255,100,0.5)&1/☁(red&2/3/✎(black&345))) 162 | ✎(rgba(255,255,100,0.5)&42) 163 | G(x) 164 | |x|={█(&x&"if "x≥0@-&x&"if "x<0)〗 165 | abcde┬→ 166 | 𝑊^𝛿₁𝜌ⁿ 167 | -x y z, 17/41 x y z, ... 168 | α_x β_(y z) x y z + α_x β_(z x) x z x + α_x β_(x y) x x y + α_x β_(x y z) x x y z 169 | 2π 170 | α₄₂^+-β₁ 171 | - α_(y z) β_(y z) - α_(y z) β_(z x) x y + α_(y z) β_(x y) z x - α_(y z) β_(x y z) x 172 | \rect(y=x+4) 173 | E = mc² 174 | _n C_k = n⒞k = n!/(k! ⋅ (n-k)!) 175 | α+β 176 | (A + B) C = A C + B C 177 | a^′′′ 178 | e' 179 | + α_y β_(y z) y^2z - α_y β_(z x) y x z - α_y β_(x y) x y y - α_y β_(x y z) x y y z 180 | ⏞(x_1+⋯+x_k)^(k " times") 181 | x = 0, y = 2 182 | = α_1 β_1 + α_x β_x + α_y β_y + α_x β_z - α_(y z) β_(y z) - α_(z x) β_(z x) - α_(x y) β_(x y) - α_(x y z) β_(x y z) 183 | \⌋ : 𝒢_n × 𝒢_m \to 𝒢_{m - n} 184 | ¹₂3 185 | \playground 123 186 | ☁(red&1/2/3/☁(green&tes☁(blue&t))) 187 | |a(x,y)/Δx|a≪1 188 | lim_(a→∞) a + lim²_(a→∞) a + sin²(a) = 42/ 189 | ⅆy/ⅆx=[y-G(x)]/a(x,y) 190 | ^+ A 191 | - α_(x y z) β_(y z) x y y z z + α_(x y z) β_(z x) x y z^2x - α_(x y z) β_(x y) x y x z y - α_(x y z) β_(x y z) y x z x y z 192 | ⟨ α_1 + α_x x + α_y y + α_z z + α_(y z) yz + α_(z x) z x + α_(x y) x y + α_(x y z) x y z ⟩_-5 = 0 193 | sin α 194 | α_(y z) y z + α_(z x) z x + α_(x y) x y 195 | 𝙲𝙰𝚁𝙳𝚂\_𝙱𝙰𝙳/ 196 | ▭(192&α) 197 | ▭(64&✎(#e01f32&α)) 198 | a⁗'‴ 199 | 〖▭(255&▭(255&▭(255&▭(255&▭(255&▭(255&▭(255&ℲB"🕷")))))))〗 〖ℲB🦟¦ ¦ 〗 200 | ⅆy/ⅆx=[y-G(x)]/a(x,y). 201 | + 202 | A ⟕_(A.a = B.b) B 203 | ⟨ | 204 | ⟨⟩_+ : 𝒢 → 𝒢_+ 205 | {x_1, ..., x_n} 206 | N₀₊₍₂₋₅₎₌₋₃ 207 | v_1 v_2 208 | m+a⁄t_h 209 | - α_(x y z) β_(y z) x + α_(x y z) β_(z x) x y x - α_(x y z) β_(x y) zy y - α_(x y z) β_(x y z) y z z y 210 | exp(x/a(x,G(x))) 211 | x y + z w 212 | ▭(1&✎(#e01f32&α)) 213 | ∫4_a^b▒x 214 | - α_(y z) β_(y z) zy y z + α_(y z) β_(z x) y z^2x - α_(y z) β_(x y) zy x y - α_(y z) β_(x y z) y x z y z 215 | \(β_1 + β_x x + β_y y + β_z z + 216 | ℲBα 217 | 1.25^n 218 | + α_(y z) β_1 y z + α_(y z) β_x y z x + α_(y z) β_y y z y + α_(y z) β_z y z z + 219 | + α_x β_1 z + α_x β_x z x - α_x β_y y z + α_x β_z z^2 220 | a₀₋₉⁴⁼ⁱ 221 | + : 𝒢 × 𝒢 → 𝒢 222 | α⬌(β)γ 223 | ⨌1_a\of ⨌62^a\of b\cdot c 224 | a + b 225 | cos▒² α 226 | a b = (2 x) (4 x + 3 y) = 8 + 6 x y 227 | ⏟def┬2 228 | (x + y + z) ∧ (x + 3y - 3z) = - 6y z + 4z x + 2x y 229 | α_x β_(y z) z y z + α_x β_(z x) z z x + α_x β_(x y) z x y + α_x β_(x y z) z x y z 230 | √a + √b 231 | a⊘b⊘c⊘d⊘e⊘f⊘g⊘h⊘i⊘j⊘k⊘l⊘m⊘n⊘o⊘p⊘q⊘r⊘s⊘t⊘u⊘v⊘w⊘x⊘y⊘z 232 | ⬌(_✎(#e01f32&α)^✎(#18a199&β) ✎(#467bc4&γ))(_α^β)γ 233 | O(n⁴) 234 | α₂³/(β₂³+γ₂³) 235 | ∫^α₂ 236 | a′′′''' 237 | f'(t) = 8 ((1-cos〖\theta/2〗)/(1+cos〖\theta/2〗) sin〖\theta/2〗)^2 (t-1) t (2t - 1) (6t^2 - 6t + 1) 238 | + (α_1 β_x + α_x β_1 + α_(x y) β_y - α_y β_(x y) + α_x β_(z x) - α_(z x) β_z - α_(y z) β_(x y z) - α_(x y z) β_(y z)) x 239 | α_(x y) β_(y z) x y y z + α_(x y) β_(z x) x y z x + α_(x y) β_(x y) x y x y + α_(x y) β_(x y z) x y x y z 240 | \sum┬k▒(-1)^k z_k f(t-k) ℲB\/ \sum┬k▒(-1)^k f(t-k) 241 | ⏜α 242 | 1/2π ∫_0^2π▒ⅆθ/(a+b sinθ) = 1/√(a^2-b^2), 243 | (a + b)^n = ∑_(k=0)^n▒(n¦k) a^k b^(n-k) 244 | aⁱ_b 245 | a′′′ 246 | y"'s fifth derivative" = ẏ┴5 = y⃛̈ = ÿ̈̇ = ÿ̇̈ 247 | ▁(a) 248 | ✎(#e01f32&α)/✎(#18a199&β) 249 | a²⋅b²=c² 250 | ab/cd/ef/√(10&gh) 251 | 1∕2 252 | (/+)/2 253 | + α_(x y) β_(y z) x y^2z - α_(x y) β_(z x) y x z x - α_(x y) β_(x y) y x x y - α_(x y) β_(x y z) y x x y z 254 | √✎(#e01f32&α) 255 | 1⁴²√√√∛∜back_to_the_roots 256 | a_(a┬b) 257 | a_ℲDa + a_ℲCa + a_a + a_ℲAa + a_ℲBa 258 | + α_(x y z) β_1 x y z + α_(x y z) β_x y z - α_(x y z) β_y x z + α_(x y z) β_z x y 259 | a⃝ 260 | A⨝_(A.x=B.y) B 261 | M = α_1 + α_x x + α_y y + α_x z + 262 | (a∣b) 263 | ⏝(a_1 + b_1) + ⏝(a_2 + b_2) + ⏝(a_3 + b_3) 264 | α'′ 265 | ▭(a⃗̂) 266 | ├)a┤ 267 | α_(x y) x y β_(y z) y z + α_(x y) x y β_(z x) z x + α_(x y) x y β_(x y) x y + α_(x y) x y β_(x y z) x y z 268 | a /~ b 269 | ↔┬abcdefg 270 | a_(a) + a_├1(a) + a_├2(a) + a_├3(a) + a_├4(a) 271 | a+{(1]/4⟩ 272 | α_1 β_(y z) y z + α_1 β_(z x) z x + α_1 β_(x y) x y + α_1 β_(x y z) x y z 273 | x = 0, y = 2 274 | a'' 275 | 4x y, -3y z + 2z x, π z x - √2 x y, ... 276 | ⅆ(tan x)/ⅆx = 1/cos▒^2 x 277 | + (α_1 β_y + α_y β_1 + α_x β_(x y) - α_(x y) β_x + α_(y z) β_z - α_x β_(y z) - α_(z x) β_(x y z) - α_(x y z) β_(z x)) y 278 | a +_+_+_+_+_+_+_+_+_+_+_+_+_+_+ b 279 | + α_(x y) β_1 x y - α_(x y) β_x x^2y + α_(x y) β_y x 1 + α_(x y) β_z x y z 280 | a 281 | α_(z x) β_(y z) z x y z + α_(z x) β_(z x) z x z x + α_(z x) β_(x y) z x x y + α_(z x) β_(x y z) z x x y z 282 | ○α 283 | 𝑎 284 | ∀ a ∈ 𝒢_1, ∀ B ∈ 𝒢 ⟹ a ∧ B = 1/2 (a B + B^* a) 285 | = (α_y β_z - α_x β_y) yz 286 | a^b₁ 287 | + α_x β_1 x + α_x β_x + α_x β_y x y - α_x β_z z x 288 | a_1 + a_2 + ⋯ + a_(i-1) + a_i + ⏞(a_(i+1) + ⋯ + a_(n-1) + a_n)^(n-i " times") 289 | w^h_c 290 | √(n&a + b) 291 | [■(α&β@γ&δ)] 292 | \playground 293 | a^b_c 294 | a -̸ b 295 | - α_(x y z) β_(y z) x y^2z^2 + α_(x y z) β_(z x) x y 1 x + α_(x y z) β_(x y) x x y zy + α_(x y z) β_(x y z) y z x x y z 296 | 𝟙+𝟚 297 | + α_y β_(y z) z + α_y β_(z x) x y z - α_y β_(x y) x + α_y β_(x y z) z x 298 | \⌊ : 𝒢_n × 𝒢_m \to 𝒢_{n - m} 299 | ∫64_a▒(1/2/3/4) 300 | (a) + ├1(a) + ├2(a) + ├3(a) + ├4(a) 301 | ⟨ α_1 + α_x x + α_y y + α_z z + α_(y z) yz + α_(z x) z x + α_(x y) x y + α_(x y z) x y z ⟩_2 = α_(y z) yz + α_(z x) z x + α_(x y) x y 302 | + α_(x y) β_1 x y - α_(x y) β_x x x y + α_(x y) β_y x y^2 + α_(x y) β_z x y z 303 | ⏟abc_1 304 | f̂(ξ)=∫_-∞^∞▒f(x)ⅇ^-2πⅈxξ ⅆx 305 | "hex"={■(0@1@2@3@4@5@6@7@8@9@A@B@C@D@E@F)┤ " with " |hex|=16 306 | 𝒢_r 307 | (a + b)┴→ 308 | α_(x y z) x y z 309 | α̈̇ 310 | a⃫ 311 | - 6y z + 4z x + 2x y 312 | (potter)͛ 313 | a b 314 | f 315 | ∫_0^a▒(xⅆx/(x^2+a^2)) 316 | c'_2 317 | (a) 318 | + α_x β_1 z + α_x β_x z x + α_x β_y z y + α_x β_z z z + 319 | b_1 +_1^2 c 320 | x, 3x, 17/41 x, 2x + y, 15y, -x + 2y + 5z, z, ... 321 | α_(x y z) β_(y z) x y z y z + α_(x y z) β_(z x) x y z z x + α_(x y z) β_(x y) x y z x y + α_(x y z) β_(x y z) x y z x y z 322 | a≠b 323 | y - 2z 324 | + α_(x y z) β_1 x y z - α_(x y z) β_x x y x z - α_(x y z) β_y x y y z + α_(x y z) β_z x y z^2 325 | - α_(x y z) β_(y z) x - α_(x y z) β_(z x) y - α_(x y z) β_(x y) z - α_(x y z) β_(x y z) 326 | ⁅"BS" = 1/N ∑_(t=1)^N▒(f_t-o_t )^2 ⫷from https://github.com/adiabatic/predictions/ommit/5c08e653ac9035c8a0c127d673a82ef662cc2321⫸ 327 | (1+2)̂̈⃛ 328 | 1 ¦ 2 ¦ 3 ¦ 4 ¦ 5 329 | + α_x β_1 z + α_x β_x z x - α_x β_y y z + α_x β_z 1 330 | lim┬(n→b) 331 | ⨌_a\of b\cdot c 332 | (_β^γ)α_δ^ε 333 | 𝚊𝚛𝚛[i], i \in ℤ₀⁺/ 334 | = α_x^2 x^2 + α_x α_y x y - α_x α_z z x - α_x α_y x y + α_y^2 y^2 + α_y α_z y z + α_x α_z z x - α_y α_z y z + α_z^2 z^2 335 | a+⫷stuff⫸b 336 | y z, z x, x y 337 | √56 338 | 1+\playground+2 339 | 𝚊𝚛𝚛[i], i \in ℤ₀⁺ 340 | 𝑊_𝛿₁𝜌ⁿ𝜎^2 341 | = α_1 - α_x x - α_y y - α_z z + α_(y z) yz + α_(z x) z x + α_(x y) x y - α_(x y z) x y z 342 | a b 343 | a₁^b 344 | a/b/c/d/e/f/g/h/i/j/k/l/m/n/o/p/q/r/s/t/u/v/w/x/y/z 345 | a^* 346 | lim 347 | ∑┬α▒β 348 | ∑┬Ω▒Δα² 349 | \sum_1\of\alpha 350 | ∧ : 𝒢_n × 𝒢_m → 𝒢_{n+m} 351 | - α_x β_(y z) z z y + α_x β_(z x) z^2x - α_x β_(x y) x z y - α_x β_(x y z) x z y z 352 | αⅆβ 353 | a+b 354 | ▢(a+b). 355 | + β_1 + α_(z x) z x β_x x + α_(z x) z x β_y y + α_(z x) z x β_z z + 356 | ✎(#e01f32&α)∕✎(#18a199&β) 357 | A_n \⌋ B_m = ⟨ A_n B_m ⟩_{m-n} 358 | δ₁⋅ρ₁ 359 | ========== #[1] 360 | sinθ = 1⁄2 𝑒^(ⅈθ) + "c.c." 361 | α_x x β_(y z) y z + α_x x β_(z x) z x + α_x x β_(x y) x y + α_x x β_(x y z) x y z 362 | a b 363 | ∫2_a^b▒x 364 | ↉½⅓⅔¼¾⅕⅖⅗⅘⅙⅚⅐⅛⅜⅝⅞⅑ 365 | + α_(y z) β_1 y z + α_(y z) β_x x y z - α_(y z) β_y zy^2 + α_(y z) β_z y 1 366 | a^+a_b 367 | ▭(19&✎(#e01f32&α)) 368 | b 369 | + α_(x y) β_1 x y + α_(x y) β_x x y x + α_(x y) β_y x y y + α_(x y) β_z x y z + 370 | + β_1 + α_y y β_x x + α_y y β_y y + α_y y β_z z + 371 | α_y β_(y z) y y z + α_y β_(z x) y z x + α_y β_(x y) y x y + α_y β_(x y z) y x y z 372 | (α_1 + α_x x + α_y y + α_z z + α_(y z) y z + α_(z x) z x + α_(x y) x y + α_(x y z) x y z)^* 373 | + (α_1 β_(z x) + α_(z x) β_1 + α_x β_x - α_x β_z + α_y β_(x y z) + α_(x y z) β_y + α_(y z) β_(x y) - α_(x y) β_(y z)) z x 374 | a^b^c^d 375 | (a∣b∣c/d) 376 | ⨄▒α 377 | W/e/i/h/n/a/c/h/t/s/b/a/u/m 378 | a_ℲA2 379 | sin 𝜃 = 1⁄2 𝑒^𝑖𝜃 + "c.c." 380 | 3D 381 | A_n ∧ B_m = ⟨ A_n B_m ⟩_{n+m} 382 | ₁ a 383 | ab 384 | 𝛼₂³/(𝛽₂³ + 𝛾₂³) 385 | {a⌋^⟨1/[2)/3]. 386 | a⁗' 387 | a∶b:c ⇒ "RATIO U+2236 vs colon" 388 | (.*?) 389 | a⃚ 390 | x_j_i_k_1 ...x_i_j_k_r 391 | ✎(rebeccapurple&6) 392 | a" "b 393 | ⨌1_a\of b\cdot c 394 | w^h^y+∑_aα^1Ω+sin(a)+"sin(a)"+c 395 | (a) + (a] + (a} + (a⟩ + (a〗 + (a⌉ + (a⌋/ 396 | (1, 2.3) 397 | + α_x β_(y z) x y z - α_x β_(z x) x^2z + α_x β_(x y) 1 y + α_x β_(x y z) 1 y z 398 | a^b^b^b^b_c_c_c_c 399 | a′ 400 | < b + \int_a\of a/ 401 | √2 402 | + (α_x β_x - α_x β_z) z x 403 | + α_(z x) β_(y z) x y - α_(z x) β_(z x) x x + α_(z x) β_(x y) zy + α_(z x) β_(x y z) zy z 404 | n⒞k = (n!)/(k!(n - k)!) 405 | ⅉ 406 | 𝑊^𝜌ⁿ𝛿₁ 407 | ☁(red&1/2/3/345) 408 | a /¬ b 409 | z 410 | w^h^e^e^e^e+1a+"Testing this!"-(1/2/333/4+1+1)+abc₂⁹/W_c+ab+√(42&1g)+▭(255&▭(255&b))+∑_A▒a+1+∑┴a┬b▒b 411 | ∀ A, B, C ∈ 𝒢 ⟹ A \⌋ (B + C) = A \⌋ B + A \⌋ C 412 | ├1]α, β┤1) 413 | ⟨ α_1 + α_x x + α_y y + α_z z + α_(y z) yz + α_(z x) z x + α_(x y) x y + α_(x y z) x y z ⟩_+ 414 | ○(sin(α)) 415 | A (B + C) = A B + A C 416 | a͖ 417 | ⟨ α_1 + α_x x + α_y y + α_z z + α_(y z) yz + α_(z x) z x + α_(x y) x y + α_(x y z) x y z ⟩_- 418 | \playground/ 419 | = (α_x x + α_y y + α_z z)(α_x x + α_y y + α_z z) 420 | x y = -y x, x z = -z x, y z = -z y 421 | ≝ \approx =┴"def" 422 | √(a+(b)) 423 | π_(ￗ(X)←ￗ(A)+ￗ(C), ￗ(Y)←¬ￗ(B), ￗ(Z)←ￗ("LEGO")) (R) 424 | ` ([___U+2045___]) starts a math zone and ` 425 | + α_(z x) β_1 z x + α_(z x) β_x z x x + α_(z x) β_y z x y + α_(z x) β_z z x z + 426 | + β_1 + α_x x β_x x + α_x x β_y y + α_x x β_z z + 427 | α_y y β_(y z) y z + α_y y β_(z x) z x + α_y y β_(x y) x y + α_y y β_(x y z) x y z 428 | a b 429 | +┬✎(red&c) 430 | a^(1_2)_3_4 431 | ⏟α_β 432 | ⇳(a/b/b/b/b/b)+1 433 | 1⁄2 434 | a"0"b 435 | (_3)F 436 | (β_x x + β_y y + β_z z) 437 | α_x x + α_y y + α_x z 438 | ∰_1^n▒f(x) 439 | ℕ_+ 440 | ∮16_α▒β 441 | f̂(ξ)=∫_-∞^∞▒f(x)ⅇ^(-2πⅈxξ)ⅆx 442 | a^+̸/2 443 | f(ξ)=∫_a▒f(x)ⅇ^(2πⅈxξ) ⅆx#[1] 444 | + α_x β_1 x + α_x β_x x x + α_x β_y x y + α_x β_z x z + 445 | ∀ A, B, C ∈ 𝒢 ⟹ (A + B) \⌋ C = A \⌋ C + B \⌋ C 446 | ∀ A, B, C ∈ 𝒢 ⟹ (A + B) ∧ C = A ∧ C + B ∧ C 447 | \notacontrolword 448 | f̂(ξ)=∫_-∞^∞▒f(x)ⅇ^-2πⅈxξ ⅆx#[42] 449 | α! + β‼ 450 | + α_y β_(y z) z + α_y β_(z x) x y z - α_y β_(x y) x - α_y β_(x y z) x z 451 | ©(a@b) 452 | a⁗⁗'⁗‴ 453 | Δx 454 | lim²_(a→∞) sin²(a) = 42 455 | 1+"tes\"t"#(this is an equation number) 456 | 1/2𝜋 ∫_0^2𝜋▒ⅆ𝜃/(𝑎+𝑏 sin𝜃)=1/√(𝑎^2−𝑏^2) 457 | + α_y β_1 y - α_y β_x x y + α_y β_y y^2 + α_y β_z y z 458 | b_1+_1^2 c 459 | + α_(x y z) β_1 x y z + α_(x y z) β_x x x y z - α_(x y z) β_y x y^2z + α_(x y z) β_z x y 1 460 | = α_1 β_1 + α_1 β_x x + α_1 β_y y + α_1 β_z z + 461 | α_(y z) yz + α_(z x) z x + α_(x y) x y + α_(x y z) x y z 462 | θ² 463 | a″ 464 | 1, 15, 17/41, 2√3, -π, ... 465 | = (α_x x + α_y y + α_x z) ∧ (β_x x + β_y y + β_z z) 466 | + (α_x β_x - α_x β_z) zx 467 | = α_1 + α_(y z) yz + α_(z x) z x + α_(x y) x y + α_(x y z) x y z 468 | a b 469 | W_δ₁ρ₁σ₂^3β=U_δ₁ρ₁^3β+1/8π^2∫_α₁^α₂▒dα'₂[(U_δ₁ρ₁^2β-α'₂U_ρ₁σ₂^1β)/U_ρ₁σ₂^0β] 470 | "α" 471 | y 472 | ├a) 473 | y z = -z y, z x = -x z, x y = -y x 474 | w 475 | - α_x β_(y z) y + α_x β_(z x) x + α_x β_(x y) x y z + α_x β_(x y z) x y 476 | π 477 | + α_y β_1 y - α_y β_x x y + α_y β_y + α_y β_z y z 478 | I(x,x') = g(x,x') [ε(x,x') + ∫_S▒ρ(x,x',x'')I(x',x'')ⅆx''] 479 | ✎(yellow&42) 480 | ^1_2 F_3^4 481 | a b 482 | ⒨(a & b& c&d @ c& d ) 483 | a b 484 | 1a+"Testing this!"-(1/2/3/4+1+1)+abc₂⁹/W_c+ab+√(e&1g)+▭(255&b)+∑_A▒a+1+∑┬a▒b 485 | a_-a 486 | (■(a+1&y+2@c&d)) 487 | lim_(a→∞) 488 | ⬌(⬆(a/b/c/d/e))+b 489 | W_δ₁ρ₁σ₂^3β=U_δ₁ρ₁^3β+1/8π^2∫_α₁^α₂▒dα'₂[(U_δ₁ρ₁^2β-α'₂U_δ₁ρ₁^1β)/U_δ₁ρ₁^0β] 490 | "rate" = "distance" / "time". 491 | 1/2 492 | ∫_α₂ 493 | A_2 494 | abc⃟ 495 | 1/2π ∫_0^(2⬌(π))▒ⅆθ/(a+b sinθ) = 1/√(a^2-b^2). 496 | (■(a&b@c&d)) 497 | ∫_-∞^▢(+∞) 498 | α_(y z) β_(y z) y z y z + α_(y z) β_(z x) y z z x + α_(y z) β_(x y) y z x y + α_(y z) β_(x y z) y z x y z 499 | ^* : 𝒢 → 𝒢 500 | ρ 501 | - α_(z x) β_(y z) x z y z - α_(z x) β_(z x) x z z x + α_(z x) β_(x y) z x^2y + α_(z x) β_(x y z) z x^2y z 502 | = α_x^2 x^2 + α_x α_y x y + α_x α_z x z + α_x α_y y x + α_y^2 y^2 + α_y α_z y z + α_x α_z z x + α_y α_z z y + α_z^2 z^2 503 | ├1]1/2┤4[ 504 | + α_(x y z) β_1 x y z + α_(x y z) β_x y z + α_(x y z) β_y z x + α_(x y z) β_z x y 505 | √(δ&α) 506 | n 507 | ￗ(let ) x=1 ￗ( in )f(y) = y + x ⇒ f(y) = y + 1 508 | - α_(x y z) β_(y z) x - α_(x y z) β_(z x) x x y - α_(x y z) β_(x y) z - α_(x y z) β_(x y z) y y 509 | sin x 510 | ∀ A, B, C ∈ 𝒢 ⟹ A ∧ (B + C) = A ∧ B + A ∧ C 511 | f'(x) = a 512 | ^1_2 〖n^3_4〗 " or " 〖^1_2 n〗^3_4 " instead of " ^1_2 n^3_4. 513 | √(n&✎(#e01f32&α)) 514 | + β_1 + α_(y z) y z β_x x + α_(y z) y z β_y y + α_(y z) y z β_z z + 515 | = α_x x + α_y y + α_z z + α_(x y z) x y z 516 | a'^c 517 | sin^2 x 518 | "𝓋𝓪𝔯𝖎𝚊𝕟t𝑠" 519 | a b 520 | α⟡(β)γ 521 | ∫3_a^b▒x 522 | ⎴(sin(a))^("test") 523 | + α_(x y z) β_1 x y z + α_(x y z) β_x x y z x + α_(x y z) β_y x y z y + α_(x y z) β_z x y z z + 524 | ∀ a ∈ 𝒢_1, ∀ B ∈ 𝒢 ⟹ B ∧ a = 1/2 (B a + a B^*) 525 | (a) + [a) + {a) + ⟨a) + 〖a) + ⌈a) + ⌊a)/ 526 | \int\of a 527 | = α_x β_x + α_y β_y + α_x β_z 528 | +_+_+_+_+_+_+_+_+_+_+_+^+^+^+^+^+^+^+^+^+^+ 529 | (a│b) 530 | 1 + 4x + 4z x + √3 x y z, 0, 6y + 3z - 2y z, ... 531 | ⟨⟩_- : 𝒢 → 𝒢_- 532 | - α_(x y) β_(y z) z x + α_(x y) β_(z x) y z - α_(x y) β_(x y) - α_(x y) β_(x y z) z 533 | + α_x β_1 z + α_x β_x z x - α_x β_y y z + α_x β_z 534 | + α_(z x) β_1 z x + α_(z x) β_x z x^2 - α_(z x) β_y x z y - α_(z x) β_z x z z 535 | (𝑎 + 𝑏)┴→┬→ 536 | √α 537 | ✎(#269&a+b) 538 | ├)a) 539 | ▭(255&▭(255&▭(255&▭(255&▭(255&▭(255&▭(255&▭(255&spider)))))))) 540 | ⅈ 541 | _a a_a_a_a_a_a_a_u_g_h 542 | M_1 M_2 543 | 〖a) 544 | ⫷primes overhaul start⫸ 545 | α⇳(β)γ 546 | ⬌(a/b)+c 547 | a /= b 548 | α┬β┴γ 549 | (pizza^🍕)^🍕 550 | + (α_x β_y - α_y β_x) xy 551 | ⬇(a/((a/b)/(a/b)))+b 552 | sin θ=(e^iθ-e^-iθ)/2i 553 | 𝙲𝙰𝚁𝙳𝚂\_𝙱𝙰𝙳 554 | + (α_x β_y - α_y β_x) x y 555 | w^h^e^e^e^e 556 | d 557 | = (α_x β_(z x) - α_y β_(x y)) x + (α_x β_(x y) - α_x β_(y z)) y + (- α_x β_(z x) + α_y β_(y z)) z 558 | 𝐏𝓁𝔞𝚢𝗴𝑟𝖔𝓊𝙣𝕕 559 | 2¹⁶ 560 | 1+⟡(31&1/2/3/4/5)+1 561 | ā+ ̄(a) 562 | ⌊a/b/c⌋ 563 | ∫_1^t▒〖ⅆx/x〗#(42) 564 | 𝜌 = ∑_𝜓▒P_𝜓 |𝜓⟩⟨𝜓| + 1 565 | - α_(y z) β_(y z) - α_(y z) β_(z x) x y + α_(y z) β_(x y) z x - α_(y z) β_(x y z) x y y 566 | ℲDa + ℲCa + a + ℲAa + ℲBa 567 | α_β^γ 568 | {x_i_1, ..., x_i_m} 569 | y=G(x) 570 | 0 571 | ▭(8&✎(#e01f32&α)) 572 | a^+_2 573 | (a|b|c) 574 | |a(x,y)/Δx|a≪1\ 575 | (a + b)^n = ∑1_(k=0)^n▒(n¦k) a^k b^(n-k) 576 | a ≠ b 577 | a+b\+c 578 | _✎(#e01f32&α)^✎(#18a199&β) ✎(#467bc4&γ) 579 | + α_(y z) β_1 y z + α_(y z) β_x x y z - α_(y z) β_y z + α_(y z) β_z y 580 | + β_1 + α_(x y z) x y z β_x x + α_(x y z) x y z β_y y + α_(x y z) x y z β_z z + 581 | _1^b ^a_2 582 | `delimited` 583 | a ⟕_(a.a=b.b) b 584 | ∀ A, B, C ∈ 𝒢 ⟹ (A + B) \⌊ C = A \⌊ C + B \⌊ C 585 | + α_(x y) β_1 x y - α_(x y) β_x y + α_(x y) β_y x + α_(x y) β_z x y z 586 | 1, x, y, z, y z, z x, x y, x y z 587 | ⅆx 588 | ├3(├1((a)┤1)┤3) /= (((a))). 589 | ℲBα ℲAβ γ ℲCδ ℲDε 590 | + (α_y β_z - α_x β_y) y z 591 | ⅈ²=-1 592 | W_δ₁ρ₁σ₂^3β 593 | α_(y z) y z β_(y z) y z + α_(y z) y z β_(z x) z x + α_(y z) y z β_(x y) x y + α_(y z) y z β_(x y z) x y z 594 | {■(a@b)〗§ 595 | w_(a^b) 596 | a b 597 | + β_1 + α_x z β_x x + α_x z β_y y + α_x z β_z z + 598 | A_n \⌊ B_m = ⟨ A_n B_m ⟩_{n-m} 599 | (■(1&2&3@4&5&6@7&8&9@10)). 600 | (a) + [a) + {a) + ⟨a) + 〖a) + ⌈a) + ⌊a) 601 | "𝐯𝑎𝒓𝗂𝗼𝘶𝙨" 602 | 𝑊^3𝛽_𝛿₁𝜌₂𝜎₃ 603 | - α_(y z) β_(y z) zy^2z + α_(y z) β_(z x) y 1 x + α_(y z) β_(x y) zy y x + α_(y z) β_(x y z) y x z z y 604 | a+{(1]/4⟩ 📌+1 Jⁱ⁼⁵ |_a 605 | ⫷scripts overhaul end⫸ 606 | + (α_1 β_(x y) + α_(x y) β_1 + α_x β_y - α_y β_x + α_x β_(x y z) + α_(x y z) β_z + α_(z x) β_(y z) - α_(y z) β_(z x)) x y 607 | [(𝑥₁, 𝑦₁), (𝑥₂, 𝑦₂), ⋯] 608 | ✎(#e01f32&α)⁄✎(#18a199&β) 609 | (_3)F_3 610 | a!/b! 611 | + α_x β_1 x + α_x β_x x^2 + α_x β_y x y - α_x β_z z x 612 | ⏞(x+⋯+x)^(k " times") 613 | sinx 614 | 8 + 6 x y 615 | α/β 616 | ⟡(a)+1 617 | ("a") ̂ ⫷correct way of entering a non-italicized but diacriticized character⫸ 618 | + α_x β_(y z) x y z - α_x β_(z x) z + α_x β_(x y) y + α_x β_(x y z) y z 619 | ⒨(a&b&c&d@c&d) 620 | + (α_1 β_z + α_x β_1 + α_(z x) β_x - α_x β_(z x) + α_y β_(y z) - α_(y z) β_y - α_(x y) β_(x y z) - α_(x y z) β_(x y)) z 621 | = α_x x α_x x + α_x x α_y y + α_x x α_z z + α_y y α_x x + α_y y α_y y + α_y y α_z z + α_z z α_x x + α_z z α_y y + α_z z α_z z 622 | ▭(E=mc^2) 623 | ⫷primes overhaul end⫸ 624 | x y z 625 | "So long" ∧ "thanks" ∀ "🐟🐠🐡". 626 | a' 627 | K_c (r) = 𝟏_[¼,¾] (r) + ½ × 𝟏_[0,¼] (r) 628 | ⏟(a^c_b)_(⏟(a^c_b)_(⏟(a^c_b)_(⏟(a^c_b)_(⏟(a^c_b)_(d))))) 629 | -------------------------------------------------------------------------------- /utils/bundle.sh: -------------------------------------------------------------------------------- 1 | # Bundles UnicodeMathML for release, i.e. clears out the dist/ directory and 2 | # repopulates it. Run this script from the root of the repository, for example: 3 | # > bash utils/bundle.sh 4 | 5 | # check if we're running in the correct directory 6 | if [[ ! -f "utils/bundle.sh" ]]; then 7 | echo "You must run this script from the root of the UnicodeMathML repository." 8 | exit 1 9 | fi 10 | 11 | # reset dist 12 | DIST_PATH="./dist/" 13 | rm -r "$DIST_PATH" 14 | mkdir "$DIST_PATH" 15 | 16 | # populate dist 17 | cp "src/unicodemathml.js" "$DIST_PATH" 18 | cp "src/integration/unicodemathml-integration.js" "$DIST_PATH" 19 | 20 | cp "lib/markdeep-1.11.js" "$DIST_PATH" 21 | 22 | REGEX="s/\.\.\/unicodemathml\.js/unicodemathml\.js/;s/\.\.\/\.\.\/dist\/unicodemathml-parser\.js/unicodemathml-parser\.js/;s/\.\.\/\.\.\/lib\/markdeep-1\.11\.js/markdeep-1\.11\.js/" 23 | sed "$REGEX" "src/integration/example.md.html" > "${DIST_PATH}example.md.html" 24 | sed "$REGEX" "src/integration/example.html" > "${DIST_PATH}example.html" 25 | 26 | # alrighty 27 | echo "Okay. Now all that's left to do is regenerating the parser:" 28 | echo "Open ./utils/generate-parser.html in any browser and move the downloaded file into ./dist/." 29 | -------------------------------------------------------------------------------- /utils/characters-to-codepoints-example.txt: -------------------------------------------------------------------------------- 1 | # symbols listed on https://en.wikipedia.org/wiki/Mathematical_Alphanumeric_Symbols which are *not* in the Mathematical Alphanumeric Symbols block and thus must be explicitly "imported" as well for completeness 2 | ℬ 3 | ℭ 4 | ℂ 5 | ℰ 6 | ℱ 7 | ℋ 8 | ℌ 9 | ℍ 10 | ℐ 11 | ℑ 12 | ℒ 13 | ℳ 14 | ℕ 15 | ℙ 16 | ℚ 17 | ℛ 18 | ℜ 19 | ℝ 20 | ℨ 21 | ℤ 22 | ℯ 23 | ℊ 24 | ℎ 25 | ℴ 26 | ℓ 27 | ℘ 28 | -------------------------------------------------------------------------------- /utils/characters-to-codepoints.py: -------------------------------------------------------------------------------- 1 | # given a file composed of unicode characters, outputs the corresponding codepoints. lines starting with "#" are ignored 2 | 3 | import fileinput 4 | 5 | input = fileinput.input() 6 | input = [line.strip() for line in input] # remove line breaks 7 | input = [line for line in input if line[0] != "#"] # discard comments 8 | 9 | for line in input: 10 | print("U+" + str(line.encode("unicode_escape"))[5:-1].lstrip("0").upper()) 11 | -------------------------------------------------------------------------------- /utils/charinfo.py: -------------------------------------------------------------------------------- 1 | # generate a json data structure that can be queried for info on a codepoint 2 | 3 | import urllib.request 4 | import sys 5 | 6 | def compressCategory(abbrev): 7 | return [ 8 | "Lu", 9 | "Ll", 10 | "Lt", 11 | "LC", 12 | "Lm", 13 | "Lo", 14 | "L", 15 | "Mn", 16 | "Mc", 17 | "Me", 18 | "M", 19 | "Nd", 20 | "Nl", 21 | "No", 22 | "N", 23 | "Pc", 24 | "Pd", 25 | "Ps", 26 | "Pe", 27 | "Pi", 28 | "Pf", 29 | "Po", 30 | "P", 31 | "Sm", 32 | "Sc", 33 | "Sk", 34 | "So", 35 | "S", 36 | "Zs", 37 | "Zl", 38 | "Zp", 39 | "Z", 40 | "Cc", 41 | "Cf", 42 | "Cs", 43 | "Co", 44 | "Cn", 45 | "C" 46 | ].index(abbrev) 47 | 48 | def parse_file(url): 49 | """parse a basic unicode database file into a list of lists representing rows of colums""" 50 | 51 | response = urllib.request.urlopen(url) 52 | text = response.read().decode('utf-8') 53 | 54 | rows = text.splitlines() 55 | 56 | rows = [row for row in rows if row.strip()] # remove empty lines 57 | rows = [row for row in rows if row[0] != '#'] # remove comments 58 | rows = [row.split(';') for row in rows] # extract fields for each row 59 | rows = [[col.strip() for col in row] for row in rows] # remove leading/trailing whitespace 60 | 61 | return rows 62 | 63 | ################################################################################ 64 | 65 | blocks = parse_file('https://www.unicode.org/Public/12.1.0/ucd/Blocks.txt') 66 | 67 | blocks = [[int(x, 16) for x in block[0].split('..')] + [block[1]] for block in blocks] 68 | compressedBlocks = [[block[0], block[1], i] for (i, block) in enumerate(blocks)] 69 | 70 | def getCompressedBlock(codepoint): 71 | """determine unicode block a given codepoint belongs to""" 72 | 73 | global compressedBlocks 74 | 75 | for block in compressedBlocks: 76 | if block[0] <= int(codepoint, 16) and int(codepoint, 16) <= block[1]: 77 | return block[2] 78 | else: 79 | return -1 80 | 81 | ################################################################################ 82 | 83 | codepoints = parse_file('http://www.unicode.org/Public/12.1.0/ucd/UnicodeData.txt') 84 | 85 | # extract codepoint, name, block, and category 86 | codepoints = [[row[0], row[1], getCompressedBlock(row[0]), compressCategory(row[2])] for row in codepoints] 87 | 88 | ################################################################################ 89 | 90 | # escape single quotes (actually not required) 91 | #codepoints = [[col.replace("'", "\\'") for col in row] for row in codepoints] 92 | 93 | print(''' 94 | // generated by ../utils/charinfo.py 95 | var codepointData = { 96 | ''') 97 | [print("'{}': ['{}',{},{}],".format(*row)) for row in codepoints] 98 | print(''' 99 | }; 100 | 101 | function getBlock(i) { 102 | if (i == -1) { 103 | return "none"; 104 | } 105 | 106 | var blocks = [ 107 | ''') 108 | [print("'{}',".format(block[2])) for block in blocks] 109 | print(''' 110 | ]; 111 | return blocks[i]; 112 | } 113 | 114 | function getCategory(i) { 115 | 116 | // via https://unicode.org/reports/tr44/#GC_Values_Table 117 | var categories = [ 118 | "Uppercase_Letter", 119 | "Lowercase_Letter", 120 | "Titlecase_Letter", 121 | "Cased_Letter", 122 | "Modifier_Letter", 123 | "Other_Letter", 124 | "Letter", 125 | "Nonspacing_Mark", 126 | "Spacing_Mark", 127 | "Enclosing_Mark", 128 | "Mark", 129 | "Decimal_Number", 130 | "Letter_Number", 131 | "Other_Number", 132 | "Number", 133 | "Connector_Punctuation", 134 | "Dash_Punctuation", 135 | "Open_Punctuation", 136 | "Close_Punctuation", 137 | "Initial_Punctuation", 138 | "Final_Punctuation", 139 | "Other_Punctuation", 140 | "Punctuation", 141 | "Math_Symbol", 142 | "Currency_Symbol", 143 | "Modifier_Symbol", 144 | "Other_Symbol", 145 | "Symbol", 146 | "Space_Separator", 147 | "Line_Separator", 148 | "Paragraph_Separator", 149 | "Separator", 150 | "Control", 151 | "Format", 152 | "Surrogate", 153 | "Private_Use", 154 | "Unassigned", 155 | "Other" 156 | ]; 157 | 158 | return categories[i]; 159 | } 160 | 161 | function getCodepointData(cp) { 162 | var cpd = codepointData[cp]; 163 | return {"name": cpd[0], "block": getBlock(cpd[1]), "category": getCategory(cpd[2])}; 164 | } 165 | 166 | ''') 167 | 168 | # TODO maybe compress common words/phrases (would have zero performance impact once the js file has been generated, but that might take a significant amount longer if i do this sloppily): SMALL LETTER, CAPITAL LETTER, COMBINING, LATIN, GREEK, CYRILLIC, ARABIC, SUBJOINED, HANGUL CHOSEONG, HANGUL JUNGSEONG, CANADIAN SYLLABICS, COMBINING, LETTER, MODIFIER, APL FUNCTIONAL SYMBOL, PARENTHESIZED, BOX DRAWINGS, MATHEMATICAL, BRAILLE PATTERN DOTS-, HIRAGANA LETTER, KATAKANA LETTER, HANGUL LETTER, SQUARE, HEXAGRAM, YI SYLLABLE, VAI SYLLABLE, CJK COMPATIBILITY IDEOGRAPH-, ARABIC LIGATURE, HALFWIDTH, FULLWIDTH, CUNEIFORM SIGN, EGYPTIAN HIEROGLYPH, ANATOLIAN HIEROGLYPH, BAMUM LETTER PHASE-, TANGUT COMPONENT- 169 | -------------------------------------------------------------------------------- /utils/codepoints-to-characters-example.txt: -------------------------------------------------------------------------------- 1 | U+22A3 2 | U+2190 3 | U+21A9 4 | U+21AA 5 | U+21D0 6 | U+2190 7 | U+21BD 8 | U+21BC 9 | U+21D4 10 | U+2194 11 | U+27F8 12 | U+27F5 13 | U+27FA 14 | U+27F7 15 | U+27F9 16 | U+27F6 17 | U+21A6 18 | U+22A8 19 | U+21D2 20 | U+2192 21 | U+21C1 22 | U+21C0 23 | U+2192 24 | U+22A2 25 | -------------------------------------------------------------------------------- /utils/codepoints-to-characters.py: -------------------------------------------------------------------------------- 1 | # given a file containing a newline-separated list of unicode codepoints in the format U+NNNN, outputs the corresponding characters. lines starting with "#" are ignored 2 | 3 | import fileinput 4 | 5 | input = fileinput.input() 6 | input = [line.strip() for line in input] # remove line breaks 7 | input = [line for line in input if line[0] != "#"] # discard comments 8 | 9 | for line in input: 10 | print(chr(int(line[2:], 16))) 11 | -------------------------------------------------------------------------------- /utils/emoji.py: -------------------------------------------------------------------------------- 1 | # assemble a list of emoji codepoints and ranges and establish a mapping of 2 | # astral plane emoji to the bmp's private use area 3 | 4 | # in this context: emoji are all characters where Emoji_Presentation=Yes 5 | 6 | import urllib.request 7 | import sys 8 | 9 | #url = 'https://unicode.org/Public/emoji/12.0/emoji-sequences.txt' 10 | url = 'https://unicode.org/Public/emoji/12.0/emoji-data.txt' 11 | response = urllib.request.urlopen(url) 12 | text = response.read().decode('utf-8') 13 | 14 | text = text.splitlines(); 15 | 16 | text = [line for line in text if line.strip()] # remove empty lines 17 | text = [line for line in text if line[0] != '#'] # remove comments 18 | text = [line for line in text if '; Emoji_Presentation' in line] # remove non-emoji 19 | text = [line.split(';')[0].strip() for line in text] # remove metadata 20 | 21 | # subdivide into the three categories of lines 22 | # TODO improve emoji support by somehow also supporting sequences 23 | sequences = [sequence for sequence in text if ' ' in sequence] 24 | ranges = [range for range in text if '..' in range] 25 | codepoints = [codepoint for codepoint in text if codepoint not in sequences and codepoint not in ranges] 26 | 27 | # union codpepoints with ranges expanded to lists of codepoints 28 | def toNum(cp): 29 | return int(cp, 16) 30 | 31 | def fromNum(n): 32 | return str(hex(n)).upper()[2:] 33 | 34 | def all_between(startend): 35 | s = toNum(startend[0]) 36 | e = toNum(startend[1]) 37 | 38 | r = [fromNum(c) for c in range(s, e + 1)] 39 | return r 40 | 41 | ranges = [all_between(line.split('..')) for line in ranges] 42 | ranges = [codepoint for range in ranges for codepoint in range] 43 | 44 | codepoints = codepoints + ranges 45 | codepoints.sort(key=toNum) 46 | 47 | finalRanges = [] 48 | for cp in codepoints: 49 | if not finalRanges: 50 | finalRanges.append([cp, cp]) 51 | elif toNum(finalRanges[-1][1]) == toNum(cp) - 1: 52 | finalRanges[-1][1] = cp 53 | else: 54 | finalRanges.append([cp, cp]) 55 | 56 | #print(sum([toNum(r[1]) - toNum(r[0]) + 1 for r in finalRanges])) 57 | #print(finalRanges) 58 | 59 | #print(sequences) 60 | #print(codepoints) 61 | #sys.exit(0) 62 | 63 | # map to private use area 64 | privateUseStart = 'E400' 65 | privateUseNext = privateUseStart 66 | finalRangeSizes = [toNum(r[1]) - toNum(r[0]) + 1 for r in finalRanges] 67 | 68 | mapping = [] 69 | finalFinalRanges = [] 70 | for i, cpRange in enumerate(finalRanges): 71 | if len(cpRange[0]) == 4: # in bmp 72 | if cpRange[0] == cpRange[1]: # range contains only one codepoint 73 | finalFinalRanges.append('"\\u{}"'.format(cpRange[0])) 74 | else: # multiple codepoints 75 | finalFinalRanges.append('[\\u{}-\\u{}]'.format(cpRange[0], cpRange[1])) 76 | else: # outside bmp => need to create mapping 77 | astralBegin = cpRange[0] 78 | astralEnd = cpRange[1] 79 | privateBegin = privateUseNext 80 | privateUseNext = fromNum(toNum(privateUseNext) + finalRangeSizes[i]) 81 | privateEnd = fromNum(toNum(privateUseNext) - 1) 82 | mapping.append("{astral: {begin: 0x"+astralBegin+", end: 0x"+astralEnd+"}, private: {begin: 0x"+privateBegin+", end: 0x"+privateEnd+"}}") 83 | 84 | finalFinalRanges.append('[\\u{}-\\u{}]'.format(privateUseStart, fromNum(toNum(privateUseNext) - 1))) 85 | 86 | print('\n/ '.join(finalFinalRanges)) 87 | print(',\n'.join(mapping)) 88 | -------------------------------------------------------------------------------- /utils/generate-parser.html: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | Generates the parser as a JS file, e.g. for inclusion in Markdeep. (Should have been downloaded as you read this.) 8 | 9 | 40 | 41 | 42 | -------------------------------------------------------------------------------- /utils/readme-tables.html: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 |take screenshots @2x, insert into readme at the the appropriate locations
50 |introductory example:
51 || 𝑓 | 56 |UnicodeMath | 57 |LaTeX | 58 |
| ⁅∫₀²⁰ √x ⅆx⁆ | 63 |∫₀²⁰ √x ⅆx |
64 | \int_0^{20} \sqrt{x} \ dx |
65 |
comparisons:
70 || 𝑓 | 75 |UnicodeMath | 76 |AsciiMath | 77 |LaTeX | 78 |
| ⁅1/2⁆ | 83 |1/2 |
84 | 1/2 |
85 | \frac{1}{2} |
86 |
| ⁅√2⁆ | 89 |√2 |
90 | sqrt 2 |
91 | \sqrt 2 |
92 |
| ⁅δ₁⋅ρ₁⁆ | 95 |δ₁⋅ρ₁ |
96 | del_1*rho_1 |
97 | \delta_1 \cdot \rho_1 |
98 |
| ⁅a≠b⁆ | 101 |a≠b |
102 | a!=b |
103 | a \ne b |
104 |
| ⁅(a+b)̂⁆ | 107 |(a+b)̂ |
108 | hat (a+b) |
109 | \widehat{a+b} |
110 |
stars:
115 || Notation | 120 |Reading | 121 |Writing | 122 |Ecosystem | 123 |
| UnicodeMath | 128 |★★★★★ | 129 |★★★★☆ | 130 |★★★☆☆ | 131 |
| AsciiMath | 134 |★★★★☆ | 135 |★★★★★ | 136 |★★☆☆☆ | 137 |
| LaTeX | 140 |★★★☆☆ | 141 |★★★★☆ | 142 |★★★★★ | 143 |
| MathML | 146 |★★☆☆☆ | 147 |★★☆☆☆ | 148 |★★★★☆ | 149 |
non-standard constructs:
154 || Syntax | 159 |Example | 160 |Rendered | 161 |
✎(color&expression) |
166 | ✎(green&a+b) |
167 | ⁅✎(green&a+b)⁆ | 168 |
☁(color&expression) |
171 | ☁(yellow&a+b) |
172 | ⁅☁(yellow&a+b)⁆ | 173 |
ￗ(text) |
176 | ￗ(mono) |
177 | ⁅ￗ(mono)⁆ | 178 |
⫷text⫸ |
181 | ⫷invisible⫸ |
182 | ⁅⫷invisible⫸⁆ | 183 |