Quasi-Monte Carlo (QMC) sampling has been developed for integration over [0, 1] where it has superior accuracy to Monte Carlo (MC) for integrands of bounded variation. Scrambled net quadrature gives allows replication based error estimation for QMC with at least the same accuracy and for smooth enough integrands even better accuracy than plain QMC. Integration over triangles, spheres, disks and...

We introduce a product-form approximation for tandem networks with Poisson arrivals and non-exponential service times. The proposed technique perturbs the model state space to match the sufficient conditions for product-form solution provided by the Reversed Compound Agent Theorem (RCAT). After characterizing the relationship between RCAT productforms and matrix geometric solutions, we develop ...

We study the generic properties of symplectic relations. Local models of symplectic relations are described and the corresponding local symplectic invariants are derived. A stratification of the Lagrangian Grassmannian in the product symplectic space (N ×M, π∗ MωM − π∗ NωN ) is constructed and global homological properties of the strata are investigated.

The open problem of determining the exact value of the n-th linear polarization constant cn of R n has received considerable attention over the past few years. This paper makes a contribution to the subject by providing a new lower bound on the value of sup‖y‖=1 | 〈x1,y〉 · · · 〈xn,y〉 |, where x1, . . . ,xn are unit vectors in R. The new estimate is given in terms of the eigenvalues of the Gram ...

Articles you may be interested in Geometric descriptions of entangled states by auxiliary varieties Two-sided bounds on minimum-error quantum measurement, on the reversibility of quantum dynamics, and on maximum overlap using directional iterates In this paper for a class of symmetric multiparty pure states, we consider a conjecture related to the geometric measure of entanglement: " for a symm...

With the wide application of computers in various industries, Computer Aided Design (CAD) has become the measurement criteria for the development degree of national modernization of science and technology, as well as industrial modernization. CAD needs to perform information processing to whole process of product design, including geometric modeling, engineering drawing, calculation and analysi...

In this paper we consider the product of two complex Cartan manifolds, the outcome being a class of product complex Cartan spaces. Then, we study the relationships between the geometric objects of a product complex Cartan space and its components, (e.g. Chern-Cartan complex nonlinear connection, Cartan tensors). By means of these, we establish the necessary and sufficient conditions under which...

We introduce a product-form approximation for tandem networks with Poisson arrivals and non-exponential service times. The proposed technique perturbates the model state space to match the sufficient conditions for product-form solution provided by the Compound Reversed Agent Theorem (RCAT). After characterizing the relation between RCAT product-forms and matrix geometric solutions, we develop ...

An information model is presented that supports sharing of design definition data between the designs of completely configured variants within a product family. Design data sharing is supported across many levels of a design’s product structure hierarchy: A change in one subassembly component does not force the whole subassembly to be duplicated. This is achieved for completely configured model...