Schubert polynomials for the classical groups were defined by S. Billey and M. Haiman in 1995; they are polynomial representatives of classes a full flag variety over group. We provide combinatorial description these polynomials, as well their double versions, introducing analogues pipe dreams, or RC-graphs, Weyl types.

Numerical solution has been obtained of the equations of motion of a viscous incompressible fluid in a curved annular conduit with circular cross-section. These equations are approximated by finite-difference equations which are of the second-order accuracy with respect to the grid sizes. The computed results are presented for the range 96 D 8000 , where D is the Dean number of the flow and for...

An existing deteriorated or hydraulically undersized pipe can be replaced with a new pipe by static pipe bursting. Cavity expansion during pipe bursting induces ground movements, which may potentially damage nearby buried utilities if they are in close proximity to the pipe bursting operation. A large-scale pipe bursting experiment was performed in an 8 m long, 8 m wide, and 3 m deep test pit f...

Objectives: A water pipe (hookah) is a tobacco smoking tool which is thought to be more harmless than a cigarette, and there are no adequate studies about its hazards to health. Water-pipe smoking is threatening health of the youth in the world today. The objective of this study has been to investigate the carbon monoxide (CO) levels in breath, examine the changes in pulmonary function tests (P...

in the construction process of a plastic concrete cut-off wall, concreting is usually performed using the termie pipe method. in this method, concreting is performed from the lowest point in the excavated trench (containing the slurry) using a funnel and the pipe connected to it. the concrete poured in the funnel gradually settles in the panel through the termie pipe which is beneath the slurry...

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in the present research, nonlinear vibration in a coupled system of boron-nitride nano-tube reinforced composite (bnntrc) oil pipes is studied. single-walled boron-nitride nano-tubes (swbnnts) are arranged in a longitudinal direction inside poly-vinylidene fluoride (pvdf) matrix. damping and shearing effects of surrounded medium are taken into account by visco-pasternak model. based on piezoele...

Open boundary conditions. Since the source current, Eq. 1, extends from z = −∞ to +∞ whereas our computational domain is finite, one has to apply suitable boundary conditions (see also [2]). Consider some accelerator component, residing in a vacuum cavity with attached beam pipe of smaller cross section than the cavity. Generally, the transitions from the pipe to the module have to be included ...

BACKGROUND Previous studies investigating the effect of cigar or pipe smoking on the occurrence of chronic cough and chronic phlegm have reported prevalences among cigar and pipe smokers lying between those of non-smokers and current cigarette smokers. This study uses data on previous cigarette consumption, current cigar or pipe consumption, and biochemical markers of smoking to provide a detai...

An automated algorithm based on the dynamic hydrological and hydraulic simulation modules in Storm Water Management Model (SWMM) was developed to aid the design of storm sewer networks, provided that a layout is given. Numerical performance of the proposed algorithm was compared with the existing design methods with two application cases. The automated computation process of the sewer network d...