Multi-solution of Semilinear Elliptic Equation on R^N

In this paper, we give a Z 2 index theory of generalized critical point. By this theory we get a sufficient condition on the existing result of a class functional, as an example we give a new result that the equation-Δu+u=｜u｜ p-1 u, x∈R N,(1)has infinite solutions.

Self-organized Criticality in a Modified Evolution Model on Generalized Barabasi-Albert Scale-Free Networks

A modified evolution model of self-organized criticality on generalized Barabasi-Albert （GBA）.scale-free networks is investigated. In our model, we find that spatial and temporal correlations exhibit critical behaviors. More importantly, these critical behaviors change with the parameter b, which weights the distance in comparison with the degree in the GBA network evolution.

The Generalized Clinical Trial Outcomes

The clinical trial based on the likelihood ratio test has many preferred statistical properties such as asymptotic and self-adaptive properties. Along with the constant MCID （minimum clinical important difference）, the conventional trial outcomes can be expanded into the strict, aggressive and conservative outcomes; it makes the interpretations of trial conclusion more flexible. Besides, it will show that the trial goal and trial outcome are different concept. The trial goal switching is not a statistical issue, but a clinical decision.

Renal impairment in multiple myelomas

Objective: The aim of the study was to investigate the clinic manifestation, diagnosis and treatment on multiple myeloma (MM) with the onset of renal impairment. Methods: The 27 cases of multiple myeloma with the onset of renal impair-ment were collected in Department of Nephrology, Wuhan General Hospital of Guangzhou Command, China, from January 2007 to January 2011. All cases were divided into the groups with renal dysfunction (n = 16) and normal renal function (n = 11). The clinic manifestations, treatments and prognosis of all patients were analyzed. Results: Of all the patients in normal renal function group, 5 suffered nephrotic syndrome, 4 had abnormal results of routine urinalysis (hematuria or proteinuria) which were not caused by nephrotic syndrome, and 1 suffered urinary tract infection. Five pathological specimens of renal biopsy revealed that light chain protein, immunoglobulin and complement C3 were deposited mainly in the glomerular base-ment membrane and mesangia, tubular basement membrane and arteriolar walls. Two pathological specimens were proved to be renal amyloidosis. Patients with renal dysfunction had poorer prognosis, severer anemia, higher values of serum lactate dehydrogenase (LDH) and β2-microglobulin (β2-MG), worse responses to chemotherapy. Of 16 patients with renal dysfunc-tion, 14 (87.5%) were stage III, which were significantly higher than that in the group of normal renal function [63.6% (7/11)]. Of 16 cases with renal dysfunction, 9 were treated with blood purification, and 5 of 9 cases were treated with plasma exchange. Conclusion: Multiple myeloma with the onset of renal impairment was easily misdiagnosed. Hemodialysis concomitant with chemotherapy could contribute to recovery of renal function.

Study on the Genotype of Extended-spectrum Beta-lactamases Mediated by Plasmid in Southern China

To investigate the prevalence and genotype of extended spectrum beta-lactamases (ESBLs) mediated by plasmid in Gram-negative bacteria found in southern China, a total of 1184 clinical isolates of non-repetitive strains of Gram-negative bacteria were collected in 2001 from 5 different cities in southern China. The ESBLs-producing isolates were distinguished by means of the phenotype confirmatory test based on the NCCLS criteria and were subjected to plasmid conjugation and electroporation experiments. Those clinical isolates succeeded in plasmid transfers had undergone plasmid conjugation and electro-transformation, plasmid DNA extraction and PstⅠ digest finger-printing analysis, as well as the universal primer PCR amplification of the TEM, SHV, CTX-M, VEB, PER and SFO genes and the DNA sequencing in order to determine the genotypes of ESBLs and their plasmid locations. It was found that the incidence of the ESBLs-producing strains of Gram-negative bacteria was 14.6% (173/1184) with 67 strains of transconjugants and 11 strains of electro-transformants, in which CTX-M-14 type was 33.3% (26/78); CTX-M-3 type was 23.1% (18/78); CTX-M-9 type was 14.1% (11/78); CTX-M-5 type was 6.4% ( 5/78); CTX-M-13 type was 2.6% (2/78); SHV-5 type was 7.7% (6/78); SHV-12 type was 5.1% (4/78), SHV-2a type was 2.6% (2/78) and unidentified type was 5.1% (4/78). 29.5% of the wild strains also carried broad-spectrum beta-lactamases TEM-1 and SHV-1 types. The above mentioned ESBLs genes were located on transferable plasmids with variable sizes (from 35 to 190?kb). The CTX-M type ESBLs was characterized by high-level of resistance to cefotaxime. It concluded that the CTX-M-type was the most prevalent genotype in clinical isolates of Gram-negative bacteria in southern China, and the SHV-type ranks in the second place. TEM-, VEB-, Toho- and PER-types were not found in these isolates.

请君红白外 别眼看天工——弓瑞书作小识

弓瑞,笔名塞上公,山西朔州人,斋号若云轩,现居江苏。山东师范大学书法专业毕业,南京大学工商管理硕士。曾在军队长期从事文化工作,多次立功受奖,被评为书法篆刻创作先进个人。长期倾力于金石书法,对李瑞清金石书派的研究与实践用功尤勤,师从金石书派传人之一、游寿先生弟子王立民老师研习金石书法。

Fractional Moments of Automorphic L-Functions on GL(m)

Let πr be an irreducible unitary cuspidal representation of GL,^（AQ）, m ≥ 2. Assume that π is self-contragredient. The author gets upper and lower bounds of the same order for fractional moments of automorphic L-function L（s, π） on the critical line under Generalized Ramanujan Conjecture; the upper bound being conditionally subject to the truth of Generalized Riemann Hypothesis.

Tsallis Mapping in Growing Complex Networks with Fitness

We introduce Tsallis mapping in Bianconi-Barabgsi （B-B） fitness model of growing networks. This mapping addresses the dynamical behavior of the fitness model within the framework of nonextensive statistics mechanics, which is characterized by a dimensionless nonextensivity parameter q. It is found that this new phenomenological parameter plays an important role in the evolution of networks： the underlying evolving networks may undergo a different phases depending on the q exponents, comparing to the original B-B fitness model, and the corresponding critical transition temperature Tc is also identified.

Critical Properties of a Generalized Planar Rotator Model

The critical properties of the planar rotator model with chiral Dzyaloshinsky-Moriya interaction are analyzed using a hybrid Monte Carlo method.Simulations on different lattices conform an observation that there is an XY-like Berezinskii-Kosterlitz-Thouless (BKT) phase transition in this model.The ground state and some thermodynamics properties are also discussed.