test.tex

\documentclass{article}
\usepackage{unicodeMath}

\title{Writing Unicode in \LaTeX{}}

\begin{document}
	\maketitle
	The vorticity $ω$ is defined as $ω ≔ ∇⨯ u$.

	The derivative of the function
	\begin{align}
		f∶& ℝ₊→ ℝ ⏎
		  &x↦ √x= x^{½}
	\end{align}
	is
	\begin{align}
		f∶& ℝ₊→ ℝ ⏎
		  &x↦ ⅟{2√x}.
	\end{align}

	The solutions of the quadratic equation
	\[	α x²+ β x+ γ= 0 \]
	are
	\[	x_±= -\frac{β ∓ √{β² - 4αγ}}{2α}.\]

	For $s∈ ℂ$ and $ℜ (s)≥ 1$ it holds that
	\[	ζ(s) Γ(s)= ∫₀^∞ \frac{x^{s-1}}{eˣ-1} ⅾx,\]
	where Euler’s integral of the second kind is
	\[	Γ(s)= ∫₀^∞ x^{s-1} e^{-x} ⅾx,\]
	and Riemann’s $ζ$‑function is
	\[	ζ(s)= ∑_{n∈ℕ} ⅟{nˢ}.\]
\end{document}