Mathematical Formulas

Zolt integrates KaTeX for high-performance mathematical rendering.

You can use LaTeX syntax for both inline and block formulas. For a full list of supported LaTeX functions, you can refer to the official KaTeX documentation .

Inline Math

Use single dollar signs $ for inline formulas:

zolt 
The mass-energy equivalence is defined by $E = mc^2$.

The Pythagorean theorem: $a^2 + b^2 = c^2$.

Greek letters: $\alpha, \beta, \gamma, \Delta, \Omega$.
Result

The mass-energy equivalence is defined by E=mc2E = mc^2 .

The Pythagorean theorem: a2+b2=c2a^2 + b^2 = c^2 .

Greek letters: α,β,γ,Δ,Ω\alpha, \beta, \gamma, \Delta, \Omega .

Block Math

Use double dollar signs $$ for standalone block formulas:

zolt 
$$
\int_{-\infty}^{\infty} e^{-x^2} dx = \sqrt{\pi}
$$
Result
∫−∞∞e−x2dx=π\int_{-\infty}^{\infty} e^{-x^2} dx = \sqrt{\pi}

Advanced Equations

Aligned Equations

zolt 
$$
\begin{aligned}
(a+b)^2 &= (a+b)(a+b) \\
        &= a^2 + ab + ba + b^2 \\
        &= a^2 + 2ab + b^2
\end{aligned}
$$
Result
(a+b)2=(a+b)(a+b)=a2+ab+ba+b2=a2+2ab+b2\begin{aligned} (a+b)^2 &= (a+b)(a+b) \\ &= a^2 + ab + ba + b^2 \\ &= a^2 + 2ab + b^2 \end{aligned}

Quadratic Formula

zolt 
$$
x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}
$$
Result
x=−b±b2−4ac2ax = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

Common Mathematical Symbols

Operations

SymbolLaTeXExample
Fraction\frac{a}{b}ab\frac{a}{b}
Square root\sqrt{x}x\sqrt{x}
nth root\sqrt[n]{x}xn\sqrt[n]{x}
Powera^baba^b
Subscripta_baba_b

Greek Letters

LowercaseLaTeXUppercaseLaTeX
α\alpha\alphaA\Alpha\Alpha
β\beta\betaB\Beta\Beta
γ\gamma\gammaΓ\Gamma\Gamma
δ\delta\deltaΔ\Delta\Delta
ϵ\epsilon\epsilonE\Epsilon\Epsilon
θ\theta\thetaΘ\Theta\Theta
λ\lambda\lambdaΛ\Lambda\Lambda
μ\mu\muM\Mu\Mu
π\pi\piΠ\Pi\Pi
σ\sigma\sigmaΣ\Sigma\Sigma
ϕ\phi\phiΦ\Phi\Phi
ω\omega\omegaΩ\Omega\Omega

Relations

SymbolLaTeX
≠\neq
≤\leq
≥\geq
≈\approx
≡\equiv
∈\in
∉\notin
⊂\subset
∪\cup
∩\cap

Calculus

SymbolLaTeX
∫\int
∮\oint
∂\partial
∇\nabla
∞\infty
lim\lim
sum\sum
prod\prod

Trigonometry

FunctionIdentityLaTeX
Sinesin⁡2θ+cos⁡2θ=1\sin^2\theta + \cos^2\theta = 1\sin^2\theta + \cos^2\theta = 1
Tangenttan⁡θ=sin⁡θcos⁡θ\tan\theta = \frac{\sin\theta}{\cos\theta}\tan\theta = \frac{\sin\theta}{\cos\theta}

Formulas with Attributes

Apply Zolt attributes to formulas:

zolt 
$$ \sum_{i=1}^{n} i = \frac{n(n+1)}{2} $$ {color=red}
Result
∑i=1ni=n(n+1)2\sum_{i=1}^{n} i = \frac{n(n+1)}{2}

Best Practices

  1. Use inline math for short formulas within text
  2. Use block math for complex equations
  3. Escape dollar signs with \$ if needed literally
  4. Test rendering especially for complex LaTeX

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