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# ⨘ } Math Equations in Keynote / LaTeX

Apple Keynote takes Latex format equations. Some useful commands are below.

x^2 + y^2 = z^2

If you like to have subscripts

x_n^2 + y_n^2 = z_n^2

Greek letters

\alpha \beta \gamma \rho \sigma \delta \epsilon

Operators

\times \otimes \oplus \cup \cap

< > \subset \supset \subseteq \supseteq

\int \oint \sum \prod

\times \div \cup \leq \in \notin \simeq \wedge \oplus \Box \equiv \cong \vee \approx \geq \neq \cap

\leftarrow \Leftarrow \rightarrow \Rightarrow \leftrightarrow \rightleftharpoons \uparrow \downarrow \Uparrow \Downarrow \Leftrightarrow \Updownarrow \mapsto \longmapsto \nearrow \searrow \swarrow \nwarrow

\infty \forall \Re \Im \nabla \exists \partial \nexists \emptyset \varnothing \wp \complement \neg \cdots \square \surd \blacksquare \triangle

Complex equation

F=G\Big\{\frac{m_1 m_2}{r^2}\Big\}

MOSFET linear current

I_{DS,lin}=\mu_nC_{ox}\frac{W}{L}\Bigg[\big(V_{GS}-V_t\big)V_{DS}-\frac{V_{DS}^2}{2}\Bigg](1+\lambda V_{DS})

MOSFET saturation current

I_{DS,sat}=\mu_nC_{ox}\frac{W}{L}\big(V_{GS}-V_t\big)^2(1+\lambda V_{DS})

Sum

f(x) = \sum_{i=0}^n \frac{a_i}{1+x}

Integral

f(x) = \int_{a}^b x^2 \,dx

Limits

\lim_{x\to\infty} f(x)

Wave equation

\frac{\partial^2u}{\partial t^2}=c^2 \frac{\partial^2u}{\partial x^2}

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