| We mainly examine the application of the improved version of the quasi-minimal residual (IQMR) method 20], 21] for the solutions of linear systems of equations with unsymmetric coeecient matrices arising from the discretization of uid dynamic problems on massively parallel distributed memory computers. We will deal with implicit nite diierence schemes for solving the Euler equations. These sc...

We analyze the interaction between the massless Ramond-Ramond states with a dilaton in a type II superstring.By constructing vertex operators for massless Ramond-Ramond states and computing their correlation functions with a dilaton we find the RamondRamond part of the superstring low-energy effective action.Those RR terms appear in the action without the standard dilatonic factor (string coupl...

The scattering of flexural waves by a hole in a thin plate traversed by a beam is modeled here by coupling the Kirchhoff-Love and the Euler-Bernoulli theories. A closed form expression is obtained for the transfer matrix (T-matrix) relating the incident wave to the scattered cylindrical waves. For this purpose, a general method has been developed, based on an analogous impedance method for acou...

the present study was undertaken to investigate the role of banana extract (be) on synchronous plantlet formation from seeds of dendrobium lituiflorum lindl. the seedlings formed on modified knudson c (kc) medium supplemented with 20% (v/v) be had significantly high fresh and dry weights. morphologically uniform plantlets with elongated leaves and well developed roots were formed on kc medium w...

Connections between q-rook polynomials and matrices over nite elds are exploited to derive a new statistic for Garsia and Remmel's q-hit polynomial. Both this new statistic mat and another statistic for the q-hit polynomial recently introduced by Dworkin are shown to induce di erent multiset Mahonian permutation statistics for any Ferrers board. In addition, for the triangular boards they are s...

In this paper, we present results on the implementation of a hierarchical quaternion based attitude and trajectory controller for manual and autonomous flights of quadrotors. Unlike previous papers on using quaternion representation, we use the nonlinear complementary filter that estimates the attitude in quaternions and as such does not involve Euler angles or rotation matrices. We show that f...

In this paper Open-loop optimal control method is proposed as an approach for trajectory optimization of flexible mobile manipulator for a given two-end-point task in point-to-point motion Dynamic equations are derived using combined Euler–Lagrange formulation and assumed modes method. To solve the optimal control problem an indirect method via establishing the Hamiltonian function and deriving...

The main di culty in the implementation of most standard implicit Runge-Kutta (IRK) methods applied to (sti ) ordinary di erential equations (ODE's) is to e ciently solve the nonlinear system of equations. In this article we propose the use of a preconditioner whose decomposition cost for a parallel implementation is equivalent to the cost for the implicit Euler method. The preconditioner is ba...

Rotation matrices (or Wigner D functions) are the matrix representations of the rotation operators in the basis of spherical harmonics. They are the key entities in the generation of symmetry-adapted functions by means of projection operators. Although their expression in terms of ordinary (complex) spherical harmonics and Euler rotation angles is well known, an alternative representation using...

A seminal technique of theoretical physics calledWick’s theorem interprets the Gaussian matrix integral of the products of the trace of powers of Hermitian matrices as the number of labelled maps with a given degree sequence, sorted by their Euler characteristics. This leads to the map enumeration results analogous to those obtained by combinatorial methods. In this paper we show that the enume...