A further simplification of the free-algebra machinery then obtains, namely via abstract adjunctions as the natural 2-dimensional counterpart of isomorphisms in a category, which in turn is the natural 1-dimensional counterpart of equality of elements in a set, the 0-dimensional idea that two points can turn out to be one.
I dont mean this as just a two-dimensional idea of a cut in the wall, instead it has to do with the overall organization of space, what the building is for, and of course how it sustains what was there before you opened the door.
"There's not one single-minded, one-dimensional idea of masculinity out there," he told AdAge.
We believe that it's possible to overcome the one-dimensional idea that people only want to watch train wrecks, sex and low-level reality TV portraying catty girls or rich princesses.
Characters in movies are much too often two-dimensional ideas and cliches, props for the plot or excuses for fancy camera work.
Scarborough mocks the multi-dimensional chess idea, but says that the two sides of Obama, for his critics, aren't compatible.
They seem to be working through interesting ideas about how to represent the two dimensional three-dimensionally.
But his ideas about dimensional exploration -- ones that jibe with utopian scientific theories of early modernists like Malevich and Kandinsky -- are complex.
Toward that end, the institute is teaching a new vernacular of expression, one that lends itself to a more fully dimensional way of presenting ideas in a "visual argument," Ms. Barish said.
Roughly speaking, a manifold is the n-dimensional generalization of the idea of a surface; it is a space any small piece of which looks like a piece of n-dimensional space.
A new transducer for biosensor applications has been developed based on a three-dimensional interdigitated electrode array (IDEA) with electrode digits separated by an insulating barrier.
