Mathematical notation

The specific restrictions on the Latex commands are as follows:

• LaTeX is only recognized between single dollar signs. To display mathematics, leave an empty line before and after.
• Greek letters are available: \alpha α, \beta β, \gamma γ, \delta δ, \epsilon ε, \zeta ζ, \eta η, \theta θ, \kappa κ, \lambda λ, \mu μ, \nu ν, \xi ξ, \pi π, \rho ρ, \sigma σ, \tau τ, \phi φ, \chi χ, \psi ψ, \omega ω, \Gamma Γ, \Delta Δ, \Theta Θ, \Lambda Λ, \Xi Ξ, \Pi Π, \Sigma Σ, \Phi Φ, \Psi Ψ, \Omega Ω
• Other symbols: \vee ∨, \wedge ∧, \neg ¬, \implies   ⇒  , \iff   ⇔  , \forall ∀, \exists ∃, \cup ∪, \cap ∩, \in  ∈ , \notin  ∉ , \emptyset Ø, \subseteq  ⊆ , \subset  ⊂ , \supseteq  ⊇ , \supset  ⊃ , \cdot ·, \circ o, \times ×, \partial ∂, \int ∫, \backslash \, \to  → , \{ {, \} }, \langle (, \rangle ), =  = , \ne \neq  ≠ , \le \leq  ≤ , \ge \geq  ≥ , \equiv  ≡ , \approx  ≈ , \  , \ell ℓ, \aleph ℵ
• \mathbf,\mathbb,\mathcal (the fonts look different, but this will be addressed).
• \mbox, \mathrm to include text in mathematical expressions (no dollar signs allowed in argument).
• Single level superscripts and subscripts: x^2 x², a_i a_i, e^{\pi} e^π
• LaTeX commands that are not mentioned above are displayed as words.
• Macros (\def or \newcommand) are not implemented