Pointwise Weighted Approximation of Functions with Endpoint Singularities by Combinations of Bernstein Operators

We give direct and inverse theorems for the weighted approximation of functions with endpoint singularities by combinations of Bernstein operators

Another weighted approximation of functions with singularities by combinations of Bernstein operators

We give direct and converse results for the weighted approximation of functions with inner singularities by a new type of Bernstein operators

Regularization dependence of pion generalised parton distributions

Pion generalised parton distributions are calculated within the framework of the Nambu--Jona-Lasinio model using different regularization schemes, including the proper time regularization scheme, the three dimensional momentum cutoff scheme, the four dimensional momentum cutoff scheme, and the Pauli-Villars regularization scheme. Furthermore, we check the theoretical constraints of pion generalised parton distributions required by the symmetries of quantum chromodynamics in different regularization schemes. The diagrams of pion parton distribution functions are plotted, in addition, we evaluate the Mellin moments of generalised parton distributions, which related to the electromagnetic and gravitational form factors of pion. Pion generalised parton distributions are continuous but not differential at $x=\pm \,\xi$, when considering the effect of D-term, generalised parton distributions become not continuous at $x=\pm \,\xi$ in all the four regularization schemes. Generalised parton distributions in impact parameter space are considered, the width distribution of $u$ quark in the pion and the mean-squared $\langle \mathbf{b}_{\bot}^2\rangle_{\pi}^u$ are calculated. The light-front transverse-spin distributions are studied, when quark polarized in the light-front-transverse $+\,x$ direction, the transverse-spin density is no longer symmetric around $(b_x=0,b_y=0)$, the peaks shift to $(b_x=0,b_y>0)$, we compare the average transverse shift $\langle b_{\bot}^y\rangle_1^u$ and $\langle b_{\bot}^y\rangle_2^u$ in different regularization schemes. The light-cone energy radius $r_{E,LC}$ and the light-cone charge radius $r_{c,LC}$ are also evaluated, we find that in the proper time regularization scheme the values of these quantities are the largest, in the three dimensional momentum cutoff scheme they are the smallest.Comment: 34 pages, 39 figure

固本益肺汤联合腹针治疗尘肺30例疗效观察

Objective: To observe the clinical effect of Guben Yifei decoction combined with acupoint sticking therapy on pneumoconiosis. Methods: 60 cases of pneumoconiosis with syndrome of deficiency of both lung and kidney were randomly divided into two groups. The two groups were treated with oxygen, anti fibrosis, antiasthmatic, expectorant, and so on for 15 days of a course. In addition to the treatment program of control group, the patients in treatment group were also treated with Guben Yifei decoction (1 doses /d, water decoction) combined with abdominal acupuncture therapy, 1 times /d, for two courses. Observation of patients with cough, sputum, asthma, pulmonary rales and other effects was made and paid attention to symptoms and signs, serum immunoglobulin and changes of blood oxygen saturation before and after the treatment. Results: symptoms, signs disappeared time and healing time, oxygen saturation, serum immunoglobulin were better than the control group (P < 0.05), there was significant difference (P < 0.05). Conclusions: The curative effect of Guben Yifei decoction combined with abdominal acupuncture therapy on pneumoconiosis is remarkable.目的  观察固本益肺汤联合穴位贴敷治疗尘肺的临床疗效。方法  将60例辨证为肺肾两虚型尘肺的患者随机分为两组，两组均予以吸氧，抗纤维化，平喘，化痰等治疗。两组均以15天为1个疗程。治疗组在对照组治疗方案基础上加固本益肺汤治疗，1剂/d，水煎服，同时联合腹针疗法，1次/d，连续治疗两个疗程。观察患者咳嗽、咳痰、喘憋、肺部罗音等疗效，同时观察治疗前后症状、体征、血氧饱和度、血清免疫球蛋白等变化情况。结果  治疗组在症状、体征消失时间及治愈时间、血氧饱和度、血清免疫球蛋白等方面均优于对照组（P＜0.05），两组疗效比较，有显著性差异（P＜0.05）。结果  固本益肺汤联合腹针疗法治疗尘肺疗效显著

FORMULATION DEVELOPMENT AND CHARACTERIZATION OF TEA TREE OIL LOADED ETHOSOMES

To prepare ethosomes containing tea tree oil by hot homogenization method and to evaluate its physical characters and in-vitro release pattern.  the preformulation studies were carried out by standard procedure. The morphology of globule was studied by optical microscopy. The globule size and zeta potential was determined by Zetasizer, respectively and in-vitro study was done by diffusion method and the drug content was analyzed by HPTLC method. The release kinetics was also studied by fitting into few mathematical models.  All the formulations were showed spherical and unilamellar shape with globule size of 931 to 975 nm, the zeta potential in the range of – 40 to -52 mV and entrapment efficiency was 57 to 65 %. Finally the invitro release studies showed the drug release from the ethosomal vesicles was burst release at initial time followed by sustained release over throughout the study. From the above consideration of evaluation studies, the tea tree oil loaded ethosomal formulation F5 shows best globule size, zeta potential and entrapment efficiency. The sustained action was confirmed by invitro release studies. All the formulations are followed zero order drug release and diffusion type of mechanism of drug releases with Fickian model. Ethosome loaded tea tree oil could be the best choice for topical application

Contact interaction analysis of pion GTMDs

A contact interaction is used to calculate an array of pion twist-two, -three and -four generalised transverse light-front momentum dependent parton distribution functions (GTMDs). Despite the interaction's simplicity, many of the results are physically relevant, amongst them a statement that GTMD size and shape are largely prescribed by the scale of emergent hadronic mass. Moreover, proceeding from GTMDs to generalised parton distributions (GPDs), it is found that the pion's mass distribution form factor is harder than its electromagnetic form factor, which is harder than the gravitational pressure distribution form factor; the pressure in the neighbourhood of the pion's core is commensurate with that at the centre of a neutron star; the shear pressure is maximal when confinement forces become dominant within the pion; and the spatial distribution of transversely polarised quarks within the pion is asymmetric. Regarding transverse momentum dependent distribution functions (TMDs), their magnitude and domain of support decrease with increasing twist. The simplest Wigner distribution associated with the pion's twist-two dressed-quark GTMD is sharply peaked on the kinematic domain associated with valence-quark dominance; has a domain of negative support; and broadens as the transverse position variable increases in magnitude.Comment: 20 pages, 12 figures, 1 tabl

Synchronization induced by periodic inputs in finite NN-unit bistable Langevin models: The augmented moment method

We have studied the synchronization induced by periodic inputs applied to the finite $N$-unit coupled bistable Langevin model which is subjected to cross-correlated additive and multiplicative noises. Effects on the synchronization of the system size ($N$), the coupling strength and the cross-correlation between additive and multiplicative noises have been investigated with the use of the semi-analytical augmented moment method (AMM) which is the second-order moment approximation for local and global variables [H. Hasegawa, Phys. Rev. E {\bf 67} (2003) 041903]. A linear analysis of the stationary solution of AMM equations shows that the stability is improved (degraded) by positive (negative) couplings. Results of the nonlinear bistable Langevin model are compared to those of the linear Langevin model.Comment: 19 pages, 10 figures, the final version with a changed title, accepted in Physica