Pan-dimensional

In Mathematics, pandimensional is a concept which holds all sets proposed by Georg Cantor as uncountable infinity or Absolute infinity.

In Physics pandimensional is refereed to the existence or pertaining to all dimensions of reality. A space-filling function is a bijection from the unit line segment to the unit square, cube, or hypercube. The function from the unit line segment is continuous. The inverse function, while well defined, is not continuous. Space-filling curves, the finite approximations to space-filling functions, have found application in global optimization, database indexing, and dimension reduction among others. For these applications the desired transforms are mapping a scalar to multidimensional coordinates and mapping multidimensional coordinates to a scalar.

A space-filling function is a bijection from the unit line segment to the unit square, cube, or hypercube. The function from the unit line segment is continuous. The inverse function, while well defined, is not continuous. Space-filling curves, the finite approximations to space-filling functions, have found application in global optimization, database indexing, and dimension reduction among others. For these applications the desired transforms are mapping a scalar to multidimensional coordinates and mapping multidimensional coordinates to a scalar.

Etymology

Pan-Dimensional (across dimensions) Philosophy is a term that is used to cover discussion of all aspects of philosophy in the physical universe which our senses are unable to detect. Pandimensional English (eng) Of or pertaining to all dimensions of reality.