Thank you, C-H.‘A tensor may be defined at a …collection of isolated points of space (or space-time), or it may be defined over a continuum of points.’
Now, maybe that’s sort of like explaining nth
-dimensional systems. The simplest shadow of a 2-dimensional plane is a 1-dimensional line. The simplest shadow of a 3-dimension cube is a 2-dimension plane. [The simplest shadow of a 1-dimension line is a “zero-dimension” point.]
Outside of the human realm, the simplest shadow of a 4-dimensional “object” is a 3-dimensional form called a tesseract—which we view in 3 dimesions to be (roughly) a set of nested cubes. We cannot perceive a 4-dimension object—only its 3-dimension shadow.
Will someday be useful for polychoroniodic tetrasesquiphase zeptojoule power analysis..}
http://pw1.netcom.com/~hjsmith/WireFrame4/tesseract.html (drag cusrsor through image) http://mathworld.wolfram.com
..search for ‘Magic Tesseract’ (drag cursor through java image) http://en.wikipedia.org/wiki/Tesseract
Rest in peace, Doctor Sagan...
[This message has been edited by Bjarney (edited 09-05-2004).]