Definitions
from Wiktionary, Creative Commons Attribution/ShareAlike License
 adj. Having n dimensions.
from The Century Dictionary and Cyclopedia
 Having any number, n, of dimensions: as, an ndimensional space.
Etymologies
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Examples

The definition answers the others: the “equilibrium” would be defined as the point on the ndimensional graph of policy choices, housing size, housing location, housing quality, etc. that resulted in the highest net satisfaction.

Number of points in ndimensional space in a volume of any size at all around the optimal point: uncountable.

Does jwest understand multivarients and ndimensional systems?
Think Progress » Former GOP Congressman J.C. Watts: ‘Social programs’ are the ‘new slavery.’

Since we cannot directly visualize objects in ndimensional space, Poincaré asked whether there is a test for recognizing when a shape is the threesphere by performing measurements and other operations inside the shape.

His carping critics don't realize that he's playing a subtle, ndimensional chess game that's beyond the comprehension of mere mortals.
Richard (RJ) Eskow: Obama's Enablers, Obama's Adversaries, and the Fight to Save the New Deal

Just imagine ndimensional space and set n to whatever you want.

Intuitively, the space of KaldorHicks improvements is so much larger than the space of Pareto improvements see this graph and imagine an ndimensional space with n=population, that it seems very unlikely that a random sequence of KaldorHicks improvements will happen to constitute a Pareto improvement.
Are Grotesque Hypotheticals Cheap Shots?, Bryan Caplan  EconLog  Library of Economics and Liberty

White girl, half his age, red hair cut into some sort of ndimensional shape that confused him and made him feel old.
365 tomorrows » 2007 » June : A New Free Flash Fiction SciFi Story Every Day

Anonymous  in my notation which derives from the concepts of differential forms, and I believe is quite widely used in physics, though as I said I've been out of it for a while so maybe it's slightly different these days, the "vector" "dx" represents an ndimensional differential element.

Of course, throughout these two books (there's many others) runs a kind of paradoxical fugue between science and the transcending of science, which makes, in a sense, it IMPOSSIBLE to reject the seductive ndimensional vistas the authors serve up like a banquet.
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