Mathematical OpenType Fonts

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General Testcase

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This is a simple paragraph of text with some simple inline expressions such as 2+x1\sqrt{2} + x_1, π82∉ℚ\frac{\pi^8}{2} \notin \mathbb{Q}, L′n\sqrt[n]{\mathscr L'} or ∑i=1nf^(i)\sum_{i=1}^n \hat{f}(i). Some fonts support old style numbers 0123456789 (vs 0123456789) or calligraphic letters 𝒜\mathcal{A} (vs 𝒜\mathscr{A}).

Here are some display expressions: 𝐄⇀={0𝐤^,z>d/2-σ2ε0𝐤^,d/2>z>-d/20𝐤^,z<-d/2\vec{\mathbf{E}} = \left\{ \begin{array}{l l} 0 \hat{\mathbf{k}}, & z > d/2 \\ -\frac{σ}{2ε_0} \hat{\mathbf{k}}, & d/2 > z > -d / 2 \\ 0 \hat{\mathbf{k}}, & z < -d/2 \\ \end{array} \right. ∫-∞+∞16⁢sin⁡(2⁢x+π)5⁢(x2+2⁢x+5)2⁢d⁢x=π⁢sin⁡(2)e4 followed by inline expressions like x+y+zα21-β0-ζ3p\sqrt[p]{\frac{x+y+z}{\alpha^1_2 - \beta_0 - \frac{\sqrt{\zeta}}3}} or gl(ℝ)\mathfrak{gl}(\mathbb{R}). More display expressions: V(R)=∫φ=02π∫θ=0π∫r=0Rr2sin(θ)drdθdφ=(∫φ=02πdφ)(∫θ=0πsin(θ)dθ)(∫r=0Rr2dr)=[φ]φ=02π[-cos(θ)]θ=0π[r33]r=0R=43πR3 \begin{aligned} V(R) &= \int_{\varphi=0}^{2 \pi} \int_{\theta=0}^{\pi} \int_{r=0}^{R} r^2 \sin(\theta) dr d\theta d\varphi \\ &= \left( \int_{\varphi=0}^{2 \pi} d\varphi \right) \left( \int_{\theta=0}^{\pi} \sin(\theta) d\theta \right) \left( \int_{r=0}^{R} r^2 dr \right) \\ &= \left[ \varphi \right]_{\varphi=0}^{2 \pi} \left[ -\cos(\theta) \right]_{\theta=0}^{\pi} \left[ \frac{r^3}{3} \right]_{r=0}^{R} \\ &= \frac{4}{3} \pi R^3 \end{aligned} det(A)=∑ σ∈S nϵ(σ)∏ i=1 na i,σ(i)\det(A) = \sum_{\sigma \in S_n} \epsilon(\sigma) \prod_{i=1}^n a_{i,\sigma(i)}

I n=𝟙 n=(1 0 0 … 0 0 1 0 … 0 0 0 ⋱ 0 ⋮ ⋮ 0 0 … 0 1)I_n = \mathbb{1}_n = \begin{pmatrix} 1 & 0 & 0 & \dots & 0 \\ 0 & 1 & 0 & \dots & 0 \\ 0 & 0 & \ddots & & 0 \\ \vdots & & & & \vdots \\ 0 & 0 & \dots & 0 & 1 \end{pmatrix}

Tests and Data for Free Software Fonts