LaTeXML Test

This LaTeXML test reproduces math examples from https://latexml.mathweb.org/editor
The equations in the first table came originally from http://www.mathjax.org/demos/tex-samples/, which no longer exists.

Equations

Source Temml
  The Lorenz Equations
1\begin{aligned}
\dot{x} & = \sigma(y-x) \\
\dot{y} & = \rho x - y - xz \\
\dot{z} & = -\beta z + xy
\end{aligned}

x˙=σ(yx)y˙=ρxyxzz˙=βz+xy

  The Cauchy-Schwarz Inequality
2\left( \sum_{k=1}^n ak bk \right)^2
\leq \left( \sum_{k=1}^n ak^2 \right)
\left( \sum_{k=1}^n bk^2 \right) \

(k=1nakbk)2(k=1nak2)(k=1nbk2)

  A Cross Product Formula
3\mathbf{V}_1 \times \mathbf{V}_2 =
\begin{vmatrix}
\mathbf{i} & \mathbf{j} & \mathbf{k} \\
\frac{\partial X}{\partial u} &
\frac{\partial Y}{\partial u} & 0 \\
\frac{\partial X}{\partial v} &
\frac{\partial Y}{\partial v} & 0
\end{vmatrix}

𝐕1×𝐕2=|𝐢𝐣𝐤XuYu0XvYv0|

The probability of getting k heads when flipping n coins is:
4P(E) = {n \choose k} p^k (1-p)^{ n-k} \

P(E)=(nk)pk(1p)nk

  An Identity of Ramanujan
5\frac{1}{\Bigl(\sqrt{\phi \sqrt{5}}-
\phi\Bigr) e^{\frac25 \pi}} =
1+\frac{e^{-2\pi}} {1+\frac{e^{-4\pi}}
{1+\frac{e^{-6\pi}}
{1+\frac{e^{-8\pi}} {1+\ldots} } } }

1(ϕ5ϕ)e25π=1+e2π1+e4π1+e6π1+e8π1+

  A Rogers-Ramanujan Identity
61 + \frac{q^2}{(1-q)}+
\frac{q^6}{(1-q)(1-q^2)}+\cdots =
\prod_{j=0}^{\infty}\frac{1}
{(1-q^{5j+2})(1-q^{5j+3})},
\quad\quad \text{for} |q|<1.

1+q2(1q)+q6(1q)(1q2)+=j=01(1q5j+2)(1q5j+3),for|q|<1.

  Maxwell's Equations
7\begin{aligned}
\nabla \times \vec{\mathbf{B}} -\\,
\frac1c\, \frac{\partial\vec{
\mathbf{E}}}{\partial t} &
= \frac{4\pi}{c}\vec{\mathbf{j}} \\
\nabla \cdot \vec{\mathbf{E}} &
= 4 \pi \rho \\
\nabla \times \vec{\mathbf{E}}\, +\,
\frac1c\, \frac{\partial\vec{
\mathbf{B}}}{\partial t} &
= \vec{\mathbf{0}} \\
\nabla \cdot \vec{\mathbf{B}} &
= 0
\end{aligned} \

×𝐁1c𝐄t=4πc𝐣𝐄=4πρ×𝐄+1c𝐁t=𝟎𝐁=0

Boxes

Source Temml
\raisebox{0pt}[0pt][0pt]{\Large%
\textbf{Aaaa\raisebox{-0.3ex}{a}%
\raisebox{-0.7ex}{aa}\raisebox{-1.2ex}{r}%
\raisebox{-2.2ex}{g}\raisebox{-4.5ex}{h}}}
𝐀𝐚𝐚𝐚𝐚𝐚𝐚𝐫𝐠𝐡

Unicode

The tests below come from https://latexml.mathweb.org/editor
They got them from https://trac.edgewall.org/wiki/TracUnicode
I have no idea what these lines say.

All the Unicode characters are written inside \text{}.

Language Temml
Arabicتراك يقوم بحفظ كل الكلمات باستخدام صيغة2
BulgarianБългарският език работи ли?2
ČeskyCˇesˇtina v koˊdovaˊnıˊ UTF-8, zˇaˊdnyˊ probleˊm.2
Chinese (Traditional)繁體中文, 漢字測試2
Chinese (Simplified)简体中文,汉字测试2
Croatian(Ako podrzˇava srpski i slovenski mora podrzˇavati i Hrvatski - cˇcˊzˇsˇđ CˇCˊZˇSˇĐ)
EnglishYes indeed, Trac supports English. Fully.2
FrançaisIl est possible deˊcrire en Français : aˋ, ç, uˆ, 2
German(Trac-Wiki muß auch deutsche Umlaute richtig anzeigen:o¨, a¨, u¨, A¨, O¨, U¨; und das scharfe ß)
GreekΤα Ελληνικαˊ υποστηριˊζονται επαρκωˊς επιˊσης.2
Hebrewאני יכול לאכול זכוכית וזה לא מזיק לי2
Hindiअब हिन्दी में।2
HungarianAˊrvıˊztu˝ro˝ tu¨ko¨rfuˊroˊgeˊp2
IcelandicÆvar sagði við o¨mmu sıˊna: Sjaˊðu hvað eˊg er stoˊr!2
Japanese漢字 ひらがな カタカナ ハンカクカナ 日本語試験2
Korean이번에는 한글로 써보겠습니다. 잘 보이나요? 한글2
LatvianLatviesˇu valoda arıˉ straˉdaˉ!2
Lithuanian(Sudalyvaukime ir mes. Ar veikia lietuvisˇkos raide˙s?ącˇęe˙įsˇųuˉzˇ ĄCˇĘE˙ĮSˇŲUˉZˇ Zˇinoma, kad veikia :) Kas tie mes?)
Persian (Farsi)(ولی امکان نوشتن مستقیم فارسی نیست چون حالت متن از راست به چپ و جوداین یک متن فارسی است ندارد برای فارسی نوشتن باید از HTML استفاده کنید.)
Polish(Pchnącˊ w tę łoˊdzˊ jez˙a lub osiem skrzynˊ fig;Nocna gz˙egz˙oˊłka zawsze dzienną przekuka.)
Portuguese(Eˊ possıˊvel guardar caracteres especias da lıˊngua portuguesa, incluindo o sıˊmbolo da moeda europeˊia , trema u¨, crase aˋ, agudos aˊeˊıˊoˊuˊ,circunflexos aˆeˆoˆ, til a˜o˜, cedilha ç, ordinais ªº, grau °¹²³.)
Russian(Проверка русского языка: кажется работает... И буква "ё" есть...2
Serbian(Podrzˇan, uprkos cˇinjenici da se za njegovopisanje koriste чак два алфабета.)
SlovenianTa suhi sˇkafec pusˇcˇa vodo zˇe od nekdaj!2
Spanish(Esto es un pequen˜o texto en Espan˜ol,donde el veloz murcieˊlago hinduˊ comıˊa cardlllo y kiwi)
SwedishRa¨ven raskar o¨ver isen med luva pa˚.2
ThaiTrac แสดงภาษาไทยได้อย่างถูกต้อง!2
UkrainianПеревірка української мови...2
Urduٹریک اردو بھی سپورٹ کرتا ہے۔2
VietnameseVieˆˊt tieˆˊng Vit cu˜ng đưc.2