Function Difference

$\Delta f$ is a finite difference between the values of $f$ function at two given points. For a single variable function:

(1)
\begin{align} \Delta f(x) = f(x+\Delta x)-f(x) \end{align}

where $\Delta x$ is a change in the independent variable $x$.

Note: $\Delta f^2$ is the same as $(\Delta f)^2$. The difference in $f^2$ is denoted by $\Delta \left(f^2 \right)$.

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