Reference - LaTeX

Regular variables

x, v, a, F  

Change in variables

\Delta x, \Delta t

Vectors

$\vec{F},\, \vec{v}$

\vec{F}, \vec{v}

Fractions

$\frac{a}{b}$

$\frac{a}{b}

Exponents

Exponents Example
x^2, y^{-1} $x^2, y^{-1}$

Greek Letters

$\alpha, \beta, \gamma, \theta, \lambda$

\alpha, \beta, \gamma, \theta, \lambda

Trigonometry

$\sin \theta, \cos \theta, \tan \theta$

\sin \theta, \cos \theta, \tan \theta

Inline Equations

$F = ma$  % Inline equation


\begin{equation}
    \vec{F} = ma
\end{equation}

$F = ma$ % Inline equation

\[\begin{equation} \vec{F} = ma \label{eq:force} \end{equation}\]

You can reference this equation as Equation \ref{eq:force}.

Subscripts

$F_g=m \cdot a_g$
$F_{g_{Europa}} = x \cdot a_g?$

$F_g=m \cdot a_g$

$F_{g_{Europa}} = x \cdot a_{g_{Earth}}$

Systems of equations

\begin{align}
    v_f &= v_i + at \\
    s &= v_i t + \frac{1}{2} a t^2
\end{align}
\[\begin{align} v_f &= v_i + at \\ s &= v_i t + \frac{1}{2} a t^2 \end{align}\]

Scientific Notation

$3.0 \times 10^8 \text{ m/s}$

3.0 \times 10^8 \text{ m/s}
3.0 \times 10^{80} \text{ m/s}