Results 21 to 30 of about 26,900 (293)
An Iterative Algorithm of Solution for Quadratic Minimization Problem in Hilbert Spaces
The purpose of this paper is to introduce an iterative algorithm for finding a solution of quadratic minimization problem in the set of fixed points of a nonexpansive mapping and to prove a strong convergence theorem of the solution for quadratic ...
Li Liu, Guanghui Gu, Yongfu Su
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The set of observables of a Quantum Mechanical System need only be closed under a "quadratic" product. It is shown that an additive structure of this set (whose existence is less natural) is uniquely determined by this multiplicative structure.
Friedman, Yaakov, Hakeda, Josuke
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Positive tree-like mapping classes [PDF]
In this paper we will study special mapping classes of orientable surfaces with one boundary component. A mapping class is an element of the mapping class group. The mapping class group for an orientable surface S with boundary is defined as MCG(S) =
Gerber, Yvonne
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Wildfires are considered as one of the most disturbing factors in forest areas and high-density vegetation regions. The mapping of wildfires is particularly important for fire prediction and burned biomass estimation.
Seyd Teymoor Seydi +2 more
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ITERATION OF QUADRATIC MAPS ON MATRIX ALGEBRAS [PDF]
We study the iteration of a quadratic family in the algebra of 2 × 2 real matrices, parameterized by a matrix C. We analyze and classify the existing cycles (periodic orbits) and their dependence on the parameter matrix. We discuss how new dynamical phenomena occur as a consequence of the noncommutativity of the matrix product.
Alexandra Nascimento Baptista +2 more
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Contouring Curved Quadratic Elements [PDF]
We show how to extract a contour line (or isosurface) from quadratic elements - specifically from quadratic triangles and tetrahedra. We also devise how to transform the resulting contour line (or surface) into a quartic curve (or surface) based on a ...
Childs, H. R. +4 more
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Waveguide array simulation of the Dirac equation for even potentials
In this work, we consider a single unitary transformation that enables us to diagonalize the Dirac Hamiltonian with an even potential. Its diagonal matrix elements are translated to the optical domain, which leads to a direct mapping onto a lattice with ...
Braulio M. Villegas-Martínez +2 more
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Characterization and stability analysis of advanced multi-quadratic functional equations
In this paper, we introduce a new quadratic functional equation and, motivated by this equation, we investigate n-variables mappings which are quadratic in each variable.
Abasalt Bodaghi +2 more
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Quadratic Maps Between Groups [PDF]
Abstract The notion of quadratic maps between arbitrary groups appeared at several places in the literature on quadratic algebra. Here a unified extensive treatment of their properties is given; the relation with a relative version of Passi's polynomial maps and groups of degree 2 is established and used to study the structure of the ...
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Fixed Points, Inner Product Spaces, and Functional Equations
Rassias introduced the following equality ∑i,j=1n∥xi-xj∥2=2n∑i=1n∥xi∥2, ∑i=1nxi=0, for a fixed integer n≥3. Let V,W be real vector spaces.
Choonkil Park
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