The next grand extensions of mathematical physics will, in all likelihood, be furnished by quaternions.
Technology, while adding daily to our physical ease, throws dailyanother loop of fine wire around our souls. It contributes hugely to our mobility, which we must not confuse with freedom. The extensions of our senses, which we find so fascinating, are not adding to the discrimination of our minds, since we need increasingly to take the reading of a needle on a dial to discover whether we think something isgood or bad, or right or wrong.
Nvidia's OpenGL drivers are my 'gold standard', and it has been quite a while since I have had to report a problem to them, and even their brand new extensions work as documented the first time I try them. When I have a problem on an Nvidia, I assume that it is my fault. With anyone else's drivers, I assume it is their fault.john d. carmack
Sculpture is, in the twentieth century, a wide field of experience, with many facets of symbol and material and individual calligraphy. But in all these varied and exciting extensions of our experience we always come back tot the fact that we are human beings of such and such a size, biologically the same as primitive man, and that it is through drawing and observing, or observing and drawing, that we equate our bodies with our landscape.barbara hepworth
I was appalled to find that the mathematical notation on which I had been raised failed to fill the needs of the courses I was assigned, and I began work on extensions to notation that might serve. In particular, I adopted the matrix algebra used in my thesis work, the systematic use of matrices and higher-dimensional arrays (almost) learned in a course in Tensor Analysis rashly taken in my third year at Queen’s, and (eventually) the notion of Operators in the sense introduced by Heaviside in his treatment of Maxwell’s equations.kenneth e. iverson
The flip side of the coin was that even good programmers and language designers tended to do terrible extensions when they were in the heat of programming, because design is something that is best done slowly and carefully.alan kay
I have been surprised, excited and pleasantly shocked by these comics that are extensions of the songs that I have loved and therefore welcome these amazing stories of pictures and words because they are uncompromisingly inspiring. It shows you thought is a powerful, formidable essence and can have a breathtaking domino effect.tori amos