An Introduction to Chemometrics - Definitions

N-dimensional space (hyperspace)

Extension of regular three-dimensional space to n-dimensions, reflecting more complex multivariable situations.

Hyper- indicates higher dimensional space than 3-d, e.g. hyperplane.

Practical problems are often solved using more than three dimensions with cluster analysis and pattern recognition.

Mathematics in hyperspace

• Many users are uneasy dealing with problems they cannot visualize.

• Some chemometric techniques attempt to bring the problem back to a three-dimensional environment.

• Chemometric techniques can be extended to hyperspace.

• Computers and people, using chemometrics, cooperate to solve problems efficiently.

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