نتایج جستجو برای: clifford
تعداد نتایج: 3252 فیلتر نتایج به سال:
We propose a novel method to calculate invariants of color and multicolor nD images. It employs an idea of multidimensional hypercomplex numbers and combines it with the idea of Fourier–Clifford– Galois Number Theoretical Transforms over hypercomplex algebras, which reduces the computational complexity of a global recognition algorithm from O(knNn+1) to O(kNn logN) for nD k–multispectral images...
In this paper we offer a new definition of monogenicity for functions defined on R with values in the Clifford algebra Rn following an idea inspired by the recent papers [6], [7]. This new class of monogenic functions contains the polynomials (and, more in general, power series) with coefficients in the Clifford algebra Rn. We will prove a Cauchy integral formula as well as some of its conseque...
Daniel Otchy, M.D., Neil H. Hyman, M.D., Clifford Simmang, M.D., Thomas Anthony, M.D., W. Donald Buie, M.D., Peter Cataldo, M.D., James Church, M.D., Jeffrey Cohen, M.D., Frederick Dentsman, M.D., C. Neal Ellis, M.D., John W. Kilkenny III, M.D., Clifford Ko, M.D., Richard Moore, M.D., Charles Orsay, M.D., Ronald Place, M.D., Janice Rafferty, M.D., Jan Rakinic, M.D., Paul Savoca, M.D., Joe Tjand...
Implementing a unitary operation using a universal gate set is a fundamental problem in quantum computing. The problem naturally arises when we want to implement some quantum algorithm on a fault tolerant quantum computer. Most fault tolerant protocols allow one to implement only Clifford circuits (those generated by CNOT, Hadamard and Phase gates). To achieve universal quantum computation one ...
Four constructions of constant mean curvature (CMC) hypersurfaces in S are given, which should be considered analogues of ‘classical’ constructions that are possible for CMC hypersurfaces in Euclidean space. First, Delaunay-like hypersurfaces, consisting roughly of a chain of hyperspheres winding multiple times around an equator, are shown to exist for all values of the mean curvature. Second, ...
We study h 0 (X, L) for line bundles L on a semistable curve X of genus g, parametrized by the compactified Picard scheme. The theorem of Riemann is shown to hold. The theorem of Clifford is shown to hold in the following cases: X has two components; X is any semistable curve and d = 0 or d = 2g − 2; X is stable, free from separating nodes, and d ≤ 4. These results are shown to be sharp. Applic...
We propose a new framework for constructing geometric and physical models on nonholonomic manifolds provided both with Clifford – Lie algebroid symmetry and nonlinear connection structure. Explicit parametrizations of generic off–diagonal metrics and linear and nonlinear connections define different types of Finsler, Lagrange and/or Riemann–Cartan spaces. A generalization to spinor fields and D...
We use the recent comprehensive research [17, 19] on the manifolds of square roots of −1 in real Clifford’s geometric algebras Cl(p,q) in order to construct the Clifford Fourier transform. Basically in the kernel of the complex Fourier transform the imaginary unit j ∈ C is replaced by a square root of−1 in Cl(p,q). The Clifford Fourier transform (CFT) thus obtained generalizes previously known ...
The String Uncertainty Relations have been known for some time as the stringy corrections to the original Heisenberg's Uncertainty principle. In this letter the Stringy Uncertainty relations, and corrections thereof, are explicitly derived from the New Relativity Principle that treats all dimensions and signatures on the same footing and which is based on the postulate that the Planck scale is ...
An arbitrary renormalizable quantum field theory is considered as finite if its dimensionless couplings conspire to yield at every order of its perturbative expansion no ultraviolet-divergent renormalizations of the physical parameters of the theory. The “finiteness conditions” resulting from these requirements form highly complicated, non-linear systems of relations. A promising type of soluti...
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