Results 11 to 20 of about 3,678,730 (284)
Difference between the Real World and Virtual World
The development of virtual reality brings an old and historic question on the difference between the real world and unreal world. In this paper, starting from the concept of representation, I argued that what we call “virtual reality” is a representation
Wei Wang
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Fundamentals of metric theory of real numbers in their $\overline{Q_3}$-representation
In the paper we were studied encoding of fractional part of a real number with an infinite alphabet (set of digits) coinciding with the set of non-negative integers.
I.V. Zamrii, V.V. Shkapa, H.M. Vlasyk
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Real-Time Compact Environment Representation for UAV Navigation
Recently, unmanned aerial vehicles (UAVs) have attracted much attention due to their on-demand deployment, high mobility, and low cost. For UAVs navigating in an unknown environment, efficient environment representation is needed due to the storage ...
Kaitao Meng +4 more
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Improvement of deep cross-modal retrieval by generating real-valued representation [PDF]
The cross-modal retrieval (CMR) has attracted much attention in the research community due to flexible and comprehensive retrieval. The core challenge in CMR is the heterogeneity gap, which is generated due to different statistical properties of multi ...
Nikita Bhatt, Amit Ganatra
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Livsic-type Determinantal Representations and Hyperbolicity [PDF]
Hyperbolic homogeneous polynomials with real coefficients, i.e., hyperbolic real projective hypersurfaces, and their determinantal representations, play a key role in the emerging field of convex algebraic geometry.
Shamovich, Eli, Vinnikov, Victor
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The correctness of equality which gives the combinatorial expression for the sum of the weighted equal powers of members of an arithmetical progression is found out.
Alexander I Nikonov
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A special irreducible matrix representation of the real Clifford algebra C(3,1) [PDF]
4x4 Dirac (gamma) matrices (irreducible matrix representations of the Clifford algebras C(3,1), C(1,3), C(4,0)) are an essential part of many calculations in quantum physics. Although the final physical results do not depend on the applied representation
Borisenko A. A. +12 more
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ON THE REAL MATRIX REPRESENTATION OF PT-SYMMETRIC OPERATORS
We discuss the construction of real matrix representations of PT-symmetric operators. We show the limitation of a general recipe presented some time ago for non-Hermitian Hamiltonians with antiunitary symmetry and propose a way to overcome it.
Francisco M. Fernández
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Gravitons from a loop representation of linearised gravity [PDF]
Loop quantum gravity is based on a classical formulation of 3+1 gravity in terms of a real SU(2) connection. Linearization of this classical formulation about a flat background yields a description of linearised gravity in terms of a {\em real} $U(1 ...
A. Ashtekar +22 more
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Real representations of quivers [PDF]
Let \(Q\) be a finite connected quiver. Denote by \(\text{rep}(Q,\mathbb{R})\) the category of all finite dimensional \(\mathbb{R}\)-linear representations of \(Q\), where \(\mathbb{R}\) is the field of real numbers. Given a representation \(V\) in \(\text{rep}(Q,\mathbb{R})\) we denote by \(\overline{\text{End}}(V)\) the factor \(\mathbb{R}\)-algebra ...
Angeleri Hügel, Lidia +1 more
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