In the present paper we study the ideal of all subsets of 3?°> for which the second player has a winning strategy in the unsymmetric game. We describe its cardinal coefficients and the notions of forcing determined by it.

A novel unsymmetric square matrix, WPU , is proposed for calculating both Wiener, W , and hyper-Wiener, WW, numbers. This matrix is constructed by using single endpoint characterization of paths. Its relations with Wiener-type numbers are discussed.

The precise crystal and molecular structure of melampodin, C(21)H(24)O(9), was determined from three-dimensional neutron diffraction data collected by counter techniques and phases by direct statistical methods. Crystals are orthorhombic, P2(1)2(1)2(1), a = 8,990(9), b = 14.352(14), c = 16.294(16) A, V = 2102 A(3), d(calc.) = 1.328 g.cm(-3), Z = 4 molecules per unit cell. The structural model w...

For most unsymmetric matrices it is difficult to compute many accurate eigenvalues using the primitive form of the unsymmetric Lanczos algorithm (ULA). In this paper we propose a modification of the ULA. It is related to ideas used in [J. Chem. Phys. 122 (2005), 244107 (11 pages)] to compute resonance lifetimes. Using the refined ULA we suggest, the calculation of accurate extremal and interior...

The set Λ consists of infinitely many linear real–valued functionals λ that usually take the form of point evaluations of functions or derivatives at points inside a domain or on some boundary or interface layer. If several differential or boundary operators are involved, we simply put everything into a single set Λ of functionals of various types. We call (1) a generalized interpolation proble...

In this paper, adaptive control is proposed for master-slave teleoperation systems with dynamical uncertainties and unsymmetric time-varying delays in communication channels. With the technique of force-motion transformation based on impedance model, we can convert the objective of force reflection into motion synchronization. Using partial feedback linearization, the whole teleoperation dynami...

Catalytic Tsuji-Trost allylation has become a ubiquitous method for allylation of active methylene compounds.[1] While monoallylation products are typically formed, bisallylation of malonates and related ketone enolates leads to 1,6-dienes.[2] Given the utility of these 1,6heptadienes in metal-catalyzed cycloisomerization reactions,[3] it would be beneficial if one could perform controlled bisa...