Примеры использования Higher-dimensional на Английском языке и их переводы на Русский язык
{-}
- 
                                                                                        Colloquial
                                                                                    
 - 
                                                                                        Official
                                                                                    
 
Traversals through higher-dimensional space.
They are higher-dimensional analogues of the order-2 apeirogonal tiling and apeirogonal hosohedron.
The answer: a being from a higher-dimensional world.(emphasis added).
The theorem has also been extended to general singular curves and higher-dimensional varieties.
Your Soul Song is composed of mid-fourth and higher-dimensional vibrational patterns of unconditional love, wisdom, balance and harmony.
He was most noted for his work on regular polytopes and higher-dimensional geometries.
The process in general also applies for higher-dimensional regular polytopes, including the 4-dimensional uniform 4-polytopes.
The definition of a unit distance graph may naturally be generalized to any higher-dimensional Euclidean space.
Thus they form a natural higher-dimensional generalization of modular curves viewed as moduli spaces of elliptic curves with level structure.
These in effect incorporated spacetime into a higher-dimensional structure.
However, this result cannot be generalized to higher-dimensional convex polytopes, as there exist four-dimensional polytopes whose face lattices have unbounded order dimension.
It equally brought out the concept, in general, of Shimura variety;which is the higher-dimensional equivalent of modular curve.
A conformal map between two open sets in the plane or in a higher-dimensional space is a continuous function from one set to the other that preserves the angles between any two curves.
This fact is known asthe crystallographic restriction theorem, and can be generalised to higher-dimensional cases.
These definitions can be extended to higher-dimensional polytopes and tessellations.
Hadwiger proved a theorem characterizing eutactic stars,systems of points in Euclidean space formed by orthogonal projection of higher-dimensional cross polytopes.
Analogously, the simplicial polytopes that maximize the number of higher-dimensional faces for their number of vertices are the cyclic polytopes.
These included frequent use of birational models in dimension three of surfaces that can have non-singular models only when embedded in higher-dimensional projective space.
The regular dodecagon is the Petrie polygon for many higher-dimensional polytopes, seen as orthogonal projections in Coxeter planes.
Each higher-dimensional sub-level you gain access to holds expanded information and advanced abilities and talents, which will enhance your power to traverse the trials and tests of evolutionary change with ease and grace.
It was later generalized to algebraic curves, to higher-dimensional varieties and beyond.
Today we realize that the manipulation of higher-dimensional space, as claimed by Slade, would require a technology far in advance of anything possible on this planet for the conceivable future.
Most of their theory is a special case of the theory of higher-dimensional tori or abelian varieties.
One reason for the significance ofstacked polytopes is that, among all d-dimensional simplicial polytopes with a given number of vertices, the stacked polytopes have the fewest possible higher-dimensional faces.
For d> 4 such a spacetime is considered as the simplest model for higher-dimensional cosmic string with(d- 3) flat extra dimensions.
The lower-dimensional projections of higher-dimensional objects can be used for purposes of virtual object manipulation, allowing 3D objects to be manipulated by operations performed in 2D, and 4D objects by interactions performed in 3D.
Create a net from a chain of layers that maps from pixel coordinates to a higher-dimensional feature space, and then to RGB color space.
Each higher-dimensional sub-level you gain access to holds expanded information and advanced abilities and talents, which will enhance your power to traverse the trials and tests of evolutionary change with ease and grace.
The symmetry is more subtle, however,because the symmetry operation must take place in a higher-dimensional space; such symmetries are often called"hidden symmetries.
In number theory, a Shimura variety is a higher-dimensional analogue of a modular curve that arises as a quotient variety of a Hermitian symmetric space by a congruence subgroup of a reductive algebraic group defined over Q. The term"Shimura variety" applies to the higher-dimensional  case, in the case of one-dimensional varieties one speaks of Shimura curves.