Examples of using Higher-dimensional in English and their translations into Spanish
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So D-branes are these higher-dimensional objects.
Higher-dimensional slabs are separated by additional new lines.
It is also possible to consider higher-dimensional branes.
The concept of higher-dimensional spaces was starting to flourish.
They can't just be anywhere in higher-dimensional space.
Higher-Dimensional beings such as those often called Angels are an example of this.
It is also possible to define higher-dimensional gamma matrices.
In order thatthe quasicrystal itself be aperiodic, this slice must avoid any lattice plane of the higher-dimensional lattice.
A prismatic polytope is a higher-dimensional generalization of a prism.
Newton's method is also important because it readily generalizes to higher-dimensional problems.
It seems that a few higher-dimensional theories exist, but they are not very well understood.
Items that are platonically perfect,or extrusions of higher-dimensional objects.
This description had in turn been generalized to higher-dimensional spaces in a mathematical formalism introduced by Bernhard Riemann in the 1850s.
For example, the fold out nets mentioned in the previous section have higher-dimensional equivalents.
This is unlike the case of higher-dimensional vector spaces where there is no way to choose an orientation so that it is preserved under all isomorphisms.
It equally brought out the concept, in general, of Shimura variety; which is the higher-dimensional equivalent of modular curve.
Higher-dimensional photonic crystals are of great interest for both fundamental and applied research, and the two dimensional ones are beginning to find commercial applications.
Similar presentations exist for higher-dimensional projective spaces.
In this cyclic model, two parallel orbifold planes orM-branes collide periodically in a higher-dimensional space.
You can imagine andspeculate that there are intelligent forms of life that live in these higher-dimensional scenarios that we see the effects of somehow in our dimensions, and we don't realize that they're actual living agents affecting.
When Yau was a graduate student, he started to generalize the uniformization theorem of Riemann surfaces to higher-dimensional complex Kähler manifolds.
Gradient estimates were also used in Yau's joint work with Shiu-Yuen Cheng to give a complete proof of the higher-dimensional Hermann Minkowski problem and the Dirichlet problem for the real Monge-Ampère equation, and other results on the Kähler-Einstein metric of bounded pseudoconvex domains.
Ludwig Schläfli(15 January 1814- 20 March 1895) was a Swiss mathematician, specialising in geometry and complex analysis(at the time called function theory)who was one of the key figures in developing the notion of higher-dimensional spaces.
Hence, stereology is often defined as the science of estimating higher-dimensional information from lower-dimensional samples.
Phenomenological analyses, in which one studies the experimental consequences of adding the most general set of beyond-the-Standard-Model effects in a given sector of the Standard Model,usually parameterized in terms of anomalous couplings and higher-dimensional operators.
For some important differences between finite plane geometry and the geometry of higher-dimensional finite spaces, see axiomatic projective space.
A conceptual explanation of the distinction between the planar and higher-dimensional cases was given by John von Neumann: unlike the group SO(3) of rotations in three dimensions, the group E(2) of Euclidean motions of the plane is solvable, which implies the existence of a finitely-additive measure on E(2) and R2 which is invariant under translations and rotations, and rules out paradoxical decompositions of non-negligible sets.
Minimal surfaces can be defined in other manifolds than R3,such as hyperbolic space, higher-dimensional spaces or Riemannian manifolds.
However, the explicit formula for the sinc function for the hexagonal, body centered cubic,face centered cubic and other higher-dimensional lattices can be explicitly derived using the geometric properties of Brillouin zones and their connection to zonotopes.
Other significant types of finite geometry are finite Möbius or inversive planes and Laguerre planes,which are examples of a general type called Benz planes, and their higher-dimensional analogs such as higher finite inversive geometries.
