ABSTRACT

When I became a professor, after 30 years of active research at Bell Telephone Laboratories, mainly in the Mathematics Research Department, I recalled professors are supposed to think and digest past experiences. So I put my feet up on the desk and began to consider my past. In the early years I had been mainly in computing so naturally I was involved in many large projects which required computing. Thinking about how things worked out on several of the large engineering systems I was partially involved in, I began, now I had some distance from them, to see they had some common elements. Slowly I began to realize the design problems all took place in a space of n-dimensions, where n is the number of independent parameters. Yes, we build three dimensional objects, but their design is in a high dimensional space, 1 dimension for each design parameter.