Group Assignment 1

Due Date: Jan. 26, 2004

Assignment: Find as many properties as you can about n-dimensional space, 3 £ n, including but not limited to:

- Notations, definitions

- Equations describing, for example, hyperplanes, hyperspheres, etc.

- Formulas to compute distances (e.g., Euclidean distance, cosine distance) and volumes (e.g., hypercubes, hyperspheres)

- Theorems and interesting results

- Multidimensional transformations

- Projection onto subspaces

To be submitted:

- A list of your findings, organized into categories

- References

- Each group submits one report.