Let [n] stand for the first n natural numbers {1, 2, · · · , n} and Sn for the permutations of [n]. Given a permutation π = (a1, a2, · · · , an) ∈ Sn, a rise (shortly as “R”) at the kth position refers to ak < ak+1, while a fall (shortly as “F”) at the same position refers to ak > ak+1, where the position index k runs from 1 to n − 1. It is classically well–known (cf. Comtet [2, §6.5]) that the...

We have studied the Hubbard model with bond-charge interaction on a triangular lattice for a half-filled band. At the point of particle-hole symmetry the model could be analyzed in detail in two opposite regimes of the parameter space. Using a real space renormalization group we calculate the ground state energy and the local moment over the whole parameter space. The RG results obey the exact ...

We study the properties of a low-angular momentum, inviscid, advective accretion flow in deformed Kerr spacetime under framework general theory relativity. solve governing equations that describe motion terms input parameters, namely energy (E), angular momentum (λ), spin (ak) and deformation parameter (ɛ), respectively. find global transonic solutions continue to exist non-Kerr spacetime. Depe...

Adenosine (ADO) is an inhibitory neuromodulator that can increase nociceptive thresholds in response to noxious stimulation. Inhibition of the ADO-metabolizing enzyme adenosine kinase (AK) increases extracellular ADO concentrations at sites of tissue trauma and AK inhibitors may have therapeutic potential as analgesic and anti-inflammatory agents. ABT-702 is a novel and potent (IC(50) = 1. 7 nM...

Measurement of intracellular potassium activity (ak) is important in furthering our understanding of the basis of the low resting and maximum diastolic potentials and the membrane currents underlying pacemaker activity in the sinoatrial node. K-selective microelectrodes have been successfully applied to measure ak in Purkinje fibers, ventricular muscle, and atrium. Similar measurements in the s...

design of additional anti-LSC agents. Most interestingly, these compounds have been identified using a gene-expression signature derived from primitive AML CD34 ϩ cells to search through a broad spectrum of expression data obtained from several treatments performed on different nonhematopoi-etic cell types. This raises 2 important points. First, there may be no need to look at specific cancer s...

B-splines of order k can be viewed as a mapping N taking (k+1)-tuple increasing real numbers a0<⋯<ak and giving result certain piecewise polynomial function. Looking at this whole, basic properties B-spline functions imply that it has the following algebraic properties: (1) N(a0,…,ak) local support contained in interval [a0,ak]; (2) allows refinement, i.e. for every a∈∪j=0k−1(aj,aj+1) we have i...