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Perhaps the most natural setting for Ximera content is that of a worksheet. This is
some document that may contain discussion as well as questions that check
understanding.
Ximera comes pre-equipped with many environments. If you are ever curious about
the source code, you can visit this source at
or by appending .tex to the URL of this page online.
1 A basic use case
We use \begin{definition} for definitions and \begin{question} for questions.
Since Ximera provides immediate feedback, we suggest following definitions like this
one by a quick question. Here’s an example:
The absolute value of a real number \(a\), denoted by \(|a|\), is
\[ |a| = \begin{cases} a & \text {if $a \geq 0$} \\ -a & \text {if $a<0$.} \end{cases} \]
Now students can check
their understanding:
Evaluate the following:
(a)
\(|2-5| = \answer {3}\)
(b)
\(|5-2| = \answer {3}\)
(c)
\(|5-\sqrt {2}| = \answer {5-\sqrt {2}}\)
(d)
\(|5-\sqrt {2}| = \answer {3.58578643763}\)
If \(x > 3\) then:
(a)
\(|x - 3| = \answer {x - 3}\)
(b)
\(|3 - x| = \answer {x - 3}\)
(c)
\(|\sin (x) - 3| = \answer {3 - \sin (x)}\)
To see why there are two versions of the \(|5-\sqrt {2}|\) question, view the source code for this
question by appending .tex to the end of the URL.