Typing non-Unicode statistics characters
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04-24-2022, 12:03 AM
Post: #1
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Typing non-Unicode statistics characters
Many HP calculators use \(\bar{x}\) ("x-bar") and \(\hat{y}\) ("y-hat") as statistics functions, but these characters do not exist in Unicode, and would therefore seem impossible to type in this forum. However, they are easy to make using TEX, like this:
\(\bar{x}\) is typed as \(\bar{x}\) \(\hat{y}\) is typed as \(\hat{y}\) "Widehat" sometimes creates a slightly more visible caret than "hat". <0|ɸ|0> -Joe- |
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04-24-2022, 12:40 PM
Post: #2
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RE: Typing non-Unicode statistics characters
(04-24-2022 12:03 AM)Joe Horn Wrote: but these characters do not exist in Unicode You can use Combining Diacritical Marks: x̄ ȳ z̄ x̂ ŷ ẑ This works also in code blocks: Code: x̄ ȳ z̄ You can copy them from here and paste them following the character. U+0302: COMBINING CIRCUMFLEX ACCENT U+0304: COMBINING MACRON However, the result seems to depend on the chosen font (here: Impact): x̄ ȳ z̄ x̂ ŷ ẑ |
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04-24-2022, 12:56 PM
Post: #3
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RE: Typing non-Unicode statistics characters
In Safari on my iPhone, the ^ in Joe's post end up to the right of the y.
The ones in Thomas' post look OK. |
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04-24-2022, 01:37 PM
(This post was last modified: 04-24-2022 01:39 PM by Joe Horn.)
Post: #4
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RE: Typing non-Unicode statistics characters
(04-24-2022 12:56 PM)Thomas Okken Wrote: In Safari on my iPhone, the ^ in Joe's post end up to the right of the y. Interesting! Conversely, Thomas Klemm's method sometimes fails in Edge on my laptop. The following is from a screen capture of his posting: Please ignore the following TEX experiment, which I'll check on various browsers & platforms. \(\bar{x}\) \(\bar{y}\) \(\bar{z}\) \(\widehat{x}\) \(\widehat{y}\) \(\widehat{z}\) <0|ɸ|0> -Joe- |
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04-24-2022, 02:59 PM
Post: #5
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RE: Typing non-Unicode statistics characters
(04-24-2022 12:40 PM)Thomas Klemm Wrote: U+0304: COMBINING MACRON **Warning** Election day in France! :) Greetings, Massimo -+×÷ ↔ left is right and right is wrong |
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04-24-2022, 05:18 PM
Post: #6
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RE: Typing non-Unicode statistics characters
LaTeX
bar \( \bar{a} \bar{b} \bar{c} \bar{d} \bar{e} \bar{f} \bar{g} \bar{h} \bar{i} \bar{j} \bar{k} \bar{l} \bar{m} \bar{n} \bar{o} \bar{p} \bar{q} \bar{r} \bar{s} \bar{t} \bar{u} \bar{v} \bar{w} \bar{x} \bar{y} \bar{z} \) overline \( \overline{a} \overline{b} \overline{c} \overline{d} \overline{e} \overline{f} \overline{g} \overline{h} \overline{i} \overline{j} \overline{k} \overline{l} \overline{m} \overline{n} \overline{o} \overline{p} \overline{q} \overline{r} \overline{s} \overline{t} \overline{u} \overline{v} \overline{w} \overline{x} \overline{y} \overline{z} \) hat \( \hat{a} \hat{b} \hat{c} \hat{d} \hat{e} \hat{f} \hat{g} \hat{h} \hat{i} \hat{j} \hat{k} \hat{l} \hat{m} \hat{n} \hat{o} \hat{p} \hat{q} \hat{r} \hat{s} \hat{t} \hat{u} \hat{v} \hat{w} \hat{x} \hat{y} \hat{z} \) widehat \( \widehat{a} \widehat{b} \widehat{c} \widehat{d} \widehat{e} \widehat{f} \widehat{g} \widehat{h} \widehat{i} \widehat{j} \widehat{k} \widehat{l} \widehat{m} \widehat{n} \widehat{o} \widehat{p} \widehat{q} \widehat{r} \widehat{s} \widehat{t} \widehat{u} \widehat{v} \widehat{w} \widehat{x} \widehat{y} \widehat{z} \) This is what happens if the rendered text is copied and pasted: Code: bar: In Math Settings -> Math Renderer of MathJax HTML-CSS is selected. Unicode The first line is ASCII, the following lines use Combining Diacritical Marks:
Default 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 â b̂ ĉ d̂ ê f̂ ĝ ĥ î ĵ k̂ l̂ m̂ n̂ ô p̂ q̂ r̂ ŝ t̂ û v̂ ŵ x̂ ŷ ẑ ā b̄ c̄ d̄ ē f̄ ḡ h̄ ī j̄ k̄ l̄ m̄ n̄ ō p̄ q̄ r̄ s̄ t̄ ū v̄ w̄ x̄ ȳ z̄ a̅ b̅ c̅ d̅ e̅ f̅ g̅ h̅ i̅ j̅ k̅ l̅ m̅ n̅ o̅ p̅ q̅ r̅ s̅ t̅ u̅ v̅ w̅ x̅ y̅ z̅ â ê î ô û ĉ ĝ ĥ ĵ ŝ ŵ ŷ ā ē ī ō ū Arial 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 â b̂ ĉ d̂ ê f̂ ĝ ĥ î ĵ k̂ l̂ m̂ n̂ ô p̂ q̂ r̂ ŝ t̂ û v̂ ŵ x̂ ŷ ẑ ā b̄ c̄ d̄ ē f̄ ḡ h̄ ī j̄ k̄ l̄ m̄ n̄ ō p̄ q̄ r̄ s̄ t̄ ū v̄ w̄ x̄ ȳ z̄ a̅ b̅ c̅ d̅ e̅ f̅ g̅ h̅ i̅ j̅ k̅ l̅ m̅ n̅ o̅ p̅ q̅ r̅ s̅ t̅ u̅ v̅ w̅ x̅ y̅ z̅ â ê î ô û ĉ ĝ ĥ ĵ ŝ ŵ ŷ ā ē ī ō ū Courier 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 â b̂ ĉ d̂ ê f̂ ĝ ĥ î ĵ k̂ l̂ m̂ n̂ ô p̂ q̂ r̂ ŝ t̂ û v̂ ŵ x̂ ŷ ẑ ā b̄ c̄ d̄ ē f̄ ḡ h̄ ī j̄ k̄ l̄ m̄ n̄ ō p̄ q̄ r̄ s̄ t̄ ū v̄ w̄ x̄ ȳ z̄ a̅ b̅ c̅ d̅ e̅ f̅ g̅ h̅ i̅ j̅ k̅ l̅ m̅ n̅ o̅ p̅ q̅ r̅ s̅ t̅ u̅ v̅ w̅ x̅ y̅ z̅ â ê î ô û ĉ ĝ ĥ ĵ ŝ ŵ ŷ ā ē ī ō ū Impact 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 â b̂ ĉ d̂ ê f̂ ĝ ĥ î ĵ k̂ l̂ m̂ n̂ ô p̂ q̂ r̂ ŝ t̂ û v̂ ŵ x̂ ŷ ẑ ā b̄ c̄ d̄ ē f̄ ḡ h̄ ī j̄ k̄ l̄ m̄ n̄ ō p̄ q̄ r̄ s̄ t̄ ū v̄ w̄ x̄ ȳ z̄ a̅ b̅ c̅ d̅ e̅ f̅ g̅ h̅ i̅ j̅ k̅ l̅ m̅ n̅ o̅ p̅ q̅ r̅ s̅ t̅ u̅ v̅ w̅ x̅ y̅ z̅ â ê î ô û ĉ ĝ ĥ ĵ ŝ ŵ ŷ ā ē ī ō ū Tahoma 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 â b̂ ĉ d̂ ê f̂ ĝ ĥ î ĵ k̂ l̂ m̂ n̂ ô p̂ q̂ r̂ ŝ t̂ û v̂ ŵ x̂ ŷ ẑ ā b̄ c̄ d̄ ē f̄ ḡ h̄ ī j̄ k̄ l̄ m̄ n̄ ō p̄ q̄ r̄ s̄ t̄ ū v̄ w̄ x̄ ȳ z̄ a̅ b̅ c̅ d̅ e̅ f̅ g̅ h̅ i̅ j̅ k̅ l̅ m̅ n̅ o̅ p̅ q̅ r̅ s̅ t̅ u̅ v̅ w̅ x̅ y̅ z̅ â ê î ô û ĉ ĝ ĥ ĵ ŝ ŵ ŷ ā ē ī ō ū Times New Roman 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 â b̂ ĉ d̂ ê f̂ ĝ ĥ î ĵ k̂ l̂ m̂ n̂ ô p̂ q̂ r̂ ŝ t̂ û v̂ ŵ x̂ ŷ ẑ ā b̄ c̄ d̄ ē f̄ ḡ h̄ ī j̄ k̄ l̄ m̄ n̄ ō p̄ q̄ r̄ s̄ t̄ ū v̄ w̄ x̄ ȳ z̄ a̅ b̅ c̅ d̅ e̅ f̅ g̅ h̅ i̅ j̅ k̅ l̅ m̅ n̅ o̅ p̅ q̅ r̅ s̅ t̅ u̅ v̅ w̅ x̅ y̅ z̅ â ê î ô û ĉ ĝ ĥ ĵ ŝ ŵ ŷ ā ē ī ō ū Trebuchet MS 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 â b̂ ĉ d̂ ê f̂ ĝ ĥ î ĵ k̂ l̂ m̂ n̂ ô p̂ q̂ r̂ ŝ t̂ û v̂ ŵ x̂ ŷ ẑ ā b̄ c̄ d̄ ē f̄ ḡ h̄ ī j̄ k̄ l̄ m̄ n̄ ō p̄ q̄ r̄ s̄ t̄ ū v̄ w̄ x̄ ȳ z̄ a̅ b̅ c̅ d̅ e̅ f̅ g̅ h̅ i̅ j̅ k̅ l̅ m̅ n̅ o̅ p̅ q̅ r̅ s̅ t̅ u̅ v̅ w̅ x̅ y̅ z̅ â ê î ô û ĉ ĝ ĥ ĵ ŝ ŵ ŷ ā ē ī ō ū Verdana 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 â b̂ ĉ d̂ ê f̂ ĝ ĥ î ĵ k̂ l̂ m̂ n̂ ô p̂ q̂ r̂ ŝ t̂ û v̂ ŵ x̂ ŷ ẑ ā b̄ c̄ d̄ ē f̄ ḡ h̄ ī j̄ k̄ l̄ m̄ n̄ ō p̄ q̄ r̄ s̄ t̄ ū v̄ w̄ x̄ ȳ z̄ a̅ b̅ c̅ d̅ e̅ f̅ g̅ h̅ i̅ j̅ k̅ l̅ m̅ n̅ o̅ p̅ q̅ r̅ s̅ t̅ u̅ v̅ w̅ x̅ y̅ z̅ â ê î ô û ĉ ĝ ĥ ĵ ŝ ŵ ŷ ā ē ī ō ū Code: 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 Conclusion LaTeX All four variants are rendered properly. Individual hatted letters can be copied while U+0302 is used as combining diacritic. Therefore they are rendered correctly in the code block. Unicode Only the following fonts appear to support combining diacritics:
It appears to be Arial in case of the Default font. However, this may be completely different on your system. Mildly interesting is how the points of i and j are rendered differently depending on the font. |
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04-24-2022, 07:07 PM
(This post was last modified: 04-24-2022 07:07 PM by Thomas Okken.)
Post: #7
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RE: Typing non-Unicode statistics characters | |||
04-24-2022, 07:22 PM
Post: #8
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RE: Typing non-Unicode statistics characters | |||
04-24-2022, 07:44 PM
Post: #9
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RE: Typing non-Unicode statistics characters
Yep, that works!
I only tried it in MacOS, though. I don't know how to reach that setting on the phone. |
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05-29-2022, 07:18 PM
Post: #10
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RE: Typing non-Unicode statistics characters
(04-24-2022 07:22 PM)Thomas Klemm Wrote:(04-24-2022 07:07 PM)Thomas Okken Wrote: With the LaTeX code, hat placement in Safari is strange, getting the height right but the X position wrong… I also met with success with the “Common HTML” math renderer, as shown with the following screenshot: I thought I’d try this sort of test on the Prime bug tracking site I put together. There, I get hat placement as expected with both “HTML-CSS” and “Common HTML” rendering, as shown with the following screenshot (for “HTML-CSS”): Different versions of MathJax are involved, namely v2.7.1 (here, when writing this) and v2.7.9 (at the the bug tracking site, when writing this); different font choices are also mentioned in the panel brought up via “About MathJax” (web TeX fonts, here; local STIX fonts, there). Looking at the HTML being produced reveals significant differences. |
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06-26-2024, 02:13 PM
Post: #11
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RE: Typing non-Unicode statistics characters
(04-24-2022 12:40 PM)Thomas Klemm Wrote:(04-24-2022 12:03 AM)Joe Horn Wrote: but these characters do not exist in Unicode This URL https://unicode-table.com/ has changed to https://symbl.cc/ |
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