This paper describes a method of generating high order difference approxith matians to an m — order differential operator L using (m + 1) pointsIt uses certain auxiliary points for each (m + 1)-tuple in order to achieve an arbitrary specified order of truncation error in the difference approximation. In the context of solving Lu = f, this method may be interpreted as using L^u = I^f where is an...

As it is well known, symmetry plays a crucial role in the theoretical physics. On other hand, the Noether symmetry is a useful procedure to select models motivated at a fundamental level, and to discover the exact solution to the given lagrangian. In this work, Noether symmetry in f(T) theory on a spatially homogeneous and anisotropic Bianchi type I universe is considered. We discuss the Lagran...

In this study, the KLME approach, a momentequation approach based on the Karhunen–Loeve decomposition developed by Zhang and Lu (Comput Phys 194(2):773–794, 2004), is applied to unconfined flow with multiple random inputs. The log-transformed hydraulic conductivity F, the recharge R, the Dirichlet boundary condition H, and the Neumann boundary condition Q are assumed to be Gaussian random field...

The behavior of the resistivity of Ce-based heavy fermion systems is studied using a 1/N expansion method á la Nagoya, where N is the spin-orbital degeneracy of f-electrons. The 1/N -expansion is performed in terms of the auxiliary particles, and a strict requirement of the local constraints is fulfilled for each order of 1/N . The physical quantities can be calculated over the entire temperatu...

BACKGROUND AND OBJECTIVES Ex vivo expansion of primitive hematopoietic cells for transplantation is an important step to realizing the optimal clinical potential of human cord blood (CB). We aimed to characterize minimal growth factor (GF) conditions that allow ex vivo expansion of primitive cells, including candidate hematopoietic stem cells. DESIGN AND METHODS Here, we directly investigated...

When the objective of an information retrieval task is to return a nugget rather than a document, query terms that exist in a document will often not be used in the most relevant information nugget in the document. In this paper, a new method of query expansion is proposed based on the Wikipedia link structure surrounding the most relevant articles selected automatically. Evaluated with the Nug...

This study evaluated the effects of acute isotonic volume expansion on heart rate variability (HRV) in 10 patients with dilated cardiomyopathy (DCM) and in 10 age- and sex-matched normal volunteers. Echocardiographic left ventricular volumes and HRV measurements by continuous Holter recording were assessed at baseline, at 60 and 120 min during intravenous saline load (0.9% NaCl, 0.25 ml ⋅ kg-1 ...

The work in this paper has been motivated by two questions from the theory of o-minimality (see for instance [6]): (1) Does every o-minimal expansion of the real field admit analytic cell decomposition? (2) Does there exist a “largest” o-minimal expansion M of the real field, in the sense that any other o-minimal expansion of the real field is a reduct of M? We describe here a new method of con...