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Example
In this tutorial we will a 2D function \(f(\mathbf{x},\mathbf{y})\) and make a contour plot from it.
- \[\left\{\begin{matrix}
f(\mathbf{x},\mathbf{y})=\sqrt{u}+x+y\\
u(\mathbf{x},\mathbf{y})=x^2+y^2
\end{matrix}\right.
\]
while \(\mathbf{x}=\mathbf{y}=[0,0.1,0.2,0.3...,10]\)
Steps:
- Click the New Matrix button
 to create a new matrix.
- To set the dimensions, select Matrix: Set Dimension/Labels from Origin menu menu, and set values as the image below, then click OK to apply:
- Then we are going to set values for the active matrix object to make it be \(u(\mathbf{x},\mathbf{y})=x^2+y^2\)
- Select Matrix: Set Values from Origin menu. You can set values for Mat(1) in the opened dialog
x^2+y^2
- Now add an extra matrix object to act as \(f(\mathbf{x},\mathbf{y})=\sqrt{u}+x+y\), which will call Mat(1) in calculation.
- Click the D button,
 in the upper-left corner of matrix and choose Add from the context menu
- Click the D button, again and choose 2 to active the 2nd matrix object.
- While the 2nd matrix object is active, set values for Mat(2) using formula below:
sqrt(Mat(1))+x+y
- Finally, we can plot a contour graph from the Mat(2), which will be similar to this one:
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