| sequence |
\(x_1, \ldots,
x_n\) |
A sequence \(x_1\) to \(x_n\) |
| summation |
\(\sum_{i=1}^n
x_i\) or \(\displaystyle{\sum_{i=1}^n
x_i}\) |
The sum of the terms of the sequence \(x_1\) to \(x_n\) |
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| piecewise rule definition |
\(f(x) =
\begin{cases} \text{rule 1 for } x & \text{when~COND 1} \\
\text{rule 2 for } x & \text{when COND 2}\end{cases}\) |
Define \(f\) of \(x\) to be the result of applying rule 1 to
\(x\) when condition COND 1 is true and
the result of applying rule 2 to \(x\)
when condition COND 2 is true. This can be generalized to having more
than two conditions (or cases). |
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| function application |
\(f(7)\) |
\(f\) of
\(7\) or
\(f\) applied to \(7\) or the
image of \(7\) under \(f\) |
|
\(f(z)\) |
\(f\) of
\(z\) or
\(f\) applied to \(z\) or the
image of \(z\) under \(f\) |
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\(f(g(z))\) |
\(f\) of
\(g\) of \(z\) or \(f\) applied to the result of \(g\) applied to \(z\) |
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| absolute value |
\(\lvert -3
\rvert\) |
The absolute value of \(-3\) |
| square root |
\(\sqrt{9}\) |
The non-negative square root of \(9\) |