THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT.
SEE THE DOCUMENTATION CENTER FOR THE LATEST INFORMATION.

# TransformationFunction

 TransformationFunction[data] represents a transformation function that applies geometric and other transformations.
• TransformationFunction[...][vec] applies the transformation function to a vector, returning a transformed vector.
Create a rotation transform:
This rotates the vector {x, y} by angle :
Create a rotation transform:
 Out[1]=
This rotates the vector {x, y} by angle :
 Out[2]=
 Scope   (15)
A translation by the vector {qx, qy, qz}:
A rotation around the z axis:
Scaling along the coordinate axes:
Shearing in the x direction by an angle :
Reflecting in the x, y plane:
Rescaling the box [xmin, xmax][ymin, ymax] to the unit square:
A linear transformation:
An affine transformation:
A linear fractional transformation:
Here is a rotation of around the axis:
This transforms the axis:
This transforms a list of vectors:
Composing two transformations:
Computing the inverse:
This shows they are inverses:
Computing the partial derivative :
This defines a general transform:
This is the corresponding formula:
A derivative:
A limit:
An integral:
A plot:
 Applications   (2)
TransformationFunction can be used as an argument to GeometricTransformation:
Integrate a function over a rhombic region:
defines a change of variables that maps the unit square to the integration region:
The integrand in the new coordinates:
The jacobian:
Find the power of a transformation:
Apply five times:
Apply tt[5]:
Find the iteration using RSolve:
New in 6
 Site Index Choose Language