Laplace' is known for transformations in math; as in a Laplace Transformation.
Transformations are used extensively in matrix models in general equilibrium theory and econometrics such as Dominate Diagonal transforms.
That is where I reached my level of incompetency; fond memories.
See: Lionel McKinsey, Economic Theory and Matrices with Dominate Diagonals
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Dilation, rotation, reflection and translation (Go to www.mathwarehouse.com/transformations/) For more information
They are points whose positions do not change under transformations.
A transformation is how you move a shape from one place to another. For example rotations, translations and reflections are all ways of moving a shape.
The 3 transformations of math are: translation, reflection and rotation. These are the well known ones. There is a fourth, dilation, in which the pre image is the same shape as the image, but the same size in the world
The properties depend on what the transformations are.