Topic
Product (mathematics)
About: Product (mathematics) is a research topic. Over the lifetime, 44382 publications have been published within this topic receiving 377809 citations.
Papers published on a yearly basis
Papers
More filters
TL;DR: The formal underpinnings of a modelling and analysis framework for the specification and verification of variability in product families are presented, and a variability-aware action-based branching-time modal temporal logic to express properties over MTSs is presented.
74 citations
TL;DR: In this paper, the properties of Weyl ordered products of quantum mechanical operators are investigated and the technique of integration within Weyl ordering products (IWWP) is introduced, and the overcompleteness relation of the coherent state is then recast into Weyl-ordered form.
Abstract: The properties of Weyl ordered products of operators are investigated and the technique of integration within Weyl ordered product (IWWP) is introduced. The overcompleteness relation of the coherent state is then recast into Weyl ordered form. In so doing, a new approach for Weyl ordering quantum mechanical operators is presented.
74 citations
TL;DR: In this paper, the dynamics of polynomial automorphisms of the form C = {C, C, C} were studied and geometric and dynamical properties of these objects were analyzed.
Abstract: This paper concerns the dynamics of polynomial automorphisms of ${\bf C}^2$. One can associate to such an automorphism two currents $\mu^\pm$ and the equilibrium measure $\mu=\mu^+\wedge\mu^-$. In this paper we study some geometric and dynamical properties of these objects. First, we characterize $\mu$ as the unique measure of maximal entropy. Then we show that the measure $\mu$ has a local product structure and that the currents $\mu^\pm$ have a laminar structure. This allows us to deduce information about periodic points and heteroclinic intersections. For example, we prove that the support of $\mu$ coincides with the closure of the set of saddle points. The methods used combine the pluripotential theory with the theory of non-uniformly hyperbolic dynamical systems.
74 citations
TL;DR: In this paper, the quasiclassical trajectory method and the most accurate ab initio potential energy surface were used to calculate product vibrational-rotational distributions for H + D2 → HD + D at two energies for comparison with two new experiments.
74 citations
Patent•
05 Apr 2012TL;DR: In this paper, a method and apparatus for attending to a supply of product at a position on a store shelf is presented, which involves receiving an electronic image of the position on the store shelf and comparing the electronic image to a previous electronic image, depending on the difference, if any, between the two images.
Abstract: A method and apparatus for attending to a supply of product at a position on a store shelf involves receiving an electronic image of the position on a store shelf and comparing the electronic image to a previous electronic image of the position on the store shelf. Depending of the difference, if any, between the two images, generating an indication to attend to the supply of product at the position on the store shelf.
74 citations