Math#
Math notation#
The equation \(ax^2 + bx + c = 0\) has two solutions in \(\mathbb{C}\):
Solve the following systems of equations:
- \[\begin{split}\left\{ \begin{aligned} x + 3y &= 8 \\ 2x - 5y &= -17 \end{aligned} \right.\end{split}\]
- \[\begin{split}\left\{ \begin{aligned} 7x - 2y &= 5 \\ 3x + 4y &= 8 \end{aligned} \right.\end{split}\]
Flex tables#
Function value table#
The flex-table below uses the class function-table to render the
value table of \(f(x)=2x+1\).
| \(x\) | \(0\) | \(1\) | \(2\) | \(3\) | \(4\) |
| \(f(x)\) | \(1\) | \(3\) | \(5\) | \(7\) | \(9\) |
Function sign table#
The flex-table below uses the class function-table to render the
sign table of \(f(x)=\dfrac{\sqrt{-x+2}}{2x(2x+1)}\).
| \(x\) | \(\tiny-\;\infty\) | \(-\frac{1}{2}\) | \(0\) | \(2\) | \(\tiny+\;\infty\) | ||
| \(\sqrt{-x+2}\) | \(+\) | \(+\) | \(+\) | \(0\) | |||
| \(2x\) | \(-\) | \(-\) | \(0\) | \(+\) | \(+\) | ||
| \(2x+1\) | \(-\) | \(0\) | \(+\) | \(+\) | \(+\) | ||
| \(\dfrac{\sqrt{-x+2}}{2x(2x+1)}\) | \(+\) | \(-\) | \(+\) | \(0\) |
JSXGraph#
This section renders live graphs using jsxgraph directives. The
graphs are interactive: some points can be dragged, and some of the graphs can
be panned and zoomed by holding Shift.
Sine and cosine#
Centroid#
Drag the points \(P_1\), \(P_2\) and \(P_3\).
Trigonometric circle#
Drag the point \(P\) on the circle.
grid#
5mm grid (approximate) for writing
Millimeter grid (approximate) for precise drawing
axes#
cumulativeDistributionFunction#
A normalized cumulative distribution function computed from a sample.
A non-normalized cumulative distribution function computed from a distribution.