12,165 research outputs found
IMPACTS OF INCOME DISTRIBUTION ON MARKET DEMAND
This study develops a procedure to estimate income distribution effects on market demand. The proposed procedure contains two steps: estimation of the underlying income distribution and estimation of market demand. Empirical findings show that the income distribution effect is a significant factor in the demand for meat products.Consumer/Household Economics, Demand and Price Analysis,
Rank one lattice type vertex operator algebras and their automorphism groups, II: E-series
Let L be the A_1 root lattice and G a finite subgroup of Aut(V_L), where
is the associated lattice VOA (in this case, Aut(V) is isomorphic to
PSL(2,\Bbb C)). The fixed point subVOA, V^G was studied in q-alg/9710017, which
finds a set of generators and determines the automorphism group when G is
cyclic (from the "A-series") or dihedral (from the "D-series"). In the present
article, we obtain analogous results for the remaining possibilities for G,
that it belong to the "E-series": G\cong Alt_4, Alt_5 or Sym_4.Comment: Latex, 10 page
Framed vertex operator algebras, codes and the moonshine module
For a simple vertex operator algebra whose Virasoro element is a sum of
commutative Virasoro elements of central charge 1/2, two codes are introduced
and studied. It is proved that such vertex operator algebras are rational. For
lattice vertex operator algebras and related ones, decompositions into direct
sums of irreducible modules for the product of the Virasoro algebras of central
charge 1/2 are explicitly described. As an application, the decomposition of
the moonshine vertex operator algebra is obtained for a distinguished system of
48 Virasoro algebras.Comment: Latex, 54 page
A penalty approach for nonlinear optimization with discrete design variables
Introduced here is a simple approach to minimization problems with discrete design variables by modifying the penaly function approach of converting the constrained problems into sequential unconstrained minimization technique (SUMT) problems. It was discovered, during the course of the present work, that a similar idea was suggested by Marcal and Gellatly. However, no further work has been encountered. A brief description of the SUMT is presented. The form of the penalty function for the discrete-valued design variables and strategy used for the implementation of the procedure is discussed next. Finally, several design examples are used to demonstrate the procedure, and results are compared with the ones available in the literature
Experimental test of strongly non-classical character of a noisy squeezed single-photon state
We experimentally verify the quantum non-Gaussian character of a
conditionally generated noisy squeezed single-photon state with positive Wigner
function. Employing an optimized witness based on probabilities of squeezed
vacuum and squeezed single-photon states we prove that the state cannot be
expressed as a mixture of Gaussian states. In our experiment, the non-Gaussian
state is generated by conditional subtraction of a single photon from squeezed
vacuum state. The state is probed with a homodyne detector and the witness is
determined by averaging a suitable pattern function over the measured homodyne
data. Our experimental results are in good agreement with a theoretical fit
obtained from a simple yet realistic model of the experimental setup.Comment: 10 pages, 8 figures, REVTeX
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