The Fredholm alternative for the one-dimensional p-Laplacian

In this paper we consider the solvability of the boundary value problem

     

Polaroid operators and Weyl's theorem

``Polaroid elements" represent an attempt to abstract part of the condition, ``Weyl's theorem holds" for operators.

     

Nitric oxide produced by cumulus cells stimulates maturation of mouse oocytes

The effect of sodium nitroprusside (SNP), a donor of nitric oxide, on meiotic maturation of mouse oocytes was studied by injecting N^w-nitro-L-arginine methyl ester (L-NAME) intra-peritoneal (ip), a nitric oxide synthase inhibitor, or culturing oocytes in the medium supplemented with L-NAME or hypoxanthine (HX) to arrest the spontaneous oocyte maturation in vitro. The results showed that the inhibitory effect of L-NAME by injecting 10 mg/kg ip on extrusion of the first polar body only could be reversed by injecting 2.5 mg/kg SNP with L-NAME simultaneously (P < 0.05). Half an hour later ten mice died when given 10 mg/kg SNP ip. The treatment of some concentrations of SNP (10^–7, 10^–6, 10^–5mol/L) significantly stimulated meiotic maturation to metaphase Ⅱ stages in cumulus enclosed oocytes in the presence of HX. However, other concentrations of SNP (10^–8, 10^–4, 10^–3 mol/L) had no effect on HX-arrested oocyte meiotic maturation. The optimal concentration of SNP on CEOs had no effect on DOs. The dose of 10^–3 mol/LL-NAME demonstrated a significant suppression in formation of PB₁, but not in GVBD. This inhibition was reversed by the addition of SNP. These results indicated that the physiological levels of NO produced by cumulus cells could stimulate meiotic maturation of mouse oocytes both in vivo and in vitro.     

Morphology of polar ionospheric O^＋ ion upflow： FAST observations during quiet time

With energetic ion measurements on FAST satellite, the morphologic features of quiet-time ionospheric O ion upflowing at altitudes of 2000 to 4000 km are drawn out for the first time. The pre-noon cusp/cleft is the predominant region of upflowing occurrence for O with lower energy. Meanwhile the pre-dawn sector near the equatorward edge of the plasma convection dominates the occurrence for the higher energy O ions. No matter whether the energy is lower or higher, the upflows occur often over a wide MLT range of lower latitudes outside the auroral oval. The upflowing within the pre-midnight (21:00― 22:00 MLT) auroral oval carrys larger energy fluxes, with extremely large fluxes for higher energy O appearing near the polar cap boundary. For altitudes of 2000―4200 km under observation, the ion conics occur much more frequently than ion beams. Ion beams are rarely found below 3000 km, while the conics occur uniformly over the observed altitudes.     

可吸收螺钉内固定治疗髋臼并股骨头骨折16例观察

目的：介绍可吸收螺钉内固定治疗髋臼并股骨头骨折．方法：采用可吸收螺钉内固定治疗．结果：可吸收螺钉内固定治疗16例髋臼并股骨头骨折，术后随访3～11个月，平均7个月．平均手术时间为1小时20分钟，术中平均出血量为300ml，按D’Aubigue-Postel评分法，本组病例随访，优10例，良4例，中2例，优良率为87．1％．结论：可吸收螺钉内固定治疗髋臼并股骨头骨折具有较好的实用价值．     

Spacelike Willmore surfaces in 4-dimensional Lorentzian space forms

Spacelike Willmore surfaces in 4-dimensional Lorentzian space forms, a topic in Lorentzian conformal geometry which parallels the theory of Willmore surfaces in S4, are studied in this paper. We define two kinds of transforms for such a surface, which produce the so-called left/right polar surfaces and the adjoint surfaces. These new surfaces are again conformal Willmore surfaces. For them the interesting duality theorem holds. As an application spacelike Willmore 2-spheres are classified. Finally we construct a family of homogeneous spacelike Willmore tori.     

椭圆头立罐装量与液位的算法和模拟

通过坐标平移建立椭圆封头立式罐内装液量与液位的关系，使用可视化编程技术实现其装液量与液位的双向计算，并模拟显示其动态变化过程；为化工类企业对椭圆封头立式罐的设计、使用、及其容积、装量、液体位置的标定和非直接测量计量提供了一种更简捷有效的手段和可视化操作的实用技术。     

lcs空间（X,T）中的几个lcs拓扑

在ｌｃｓ空间（Ｘ，Ｔ）中证明了Ｔａａ（Ｔｋａ）是Ｘ上最大的与Ｔ有相同的绝对凸紧集（紧集）且与Ｔ相容的ｌｃｓ拓扑；（Ｔａ）０（（Ｔｋ）０）是Ｘ上最大的与Ｔ有相同的绝对凸紧集（紧集）且关于偶对（Ｘ，Ｘ′）容许的拓扑（ａｄｍｉｓｓｉｂｌｅｔｏｐｏｌｏｇｙ）．并给出了Ｔａａ（Ｔａ）０的例     

多原子极性晶体系统中杂质态的基态能量

结合多原子极性晶体系统中与声子普适耦合杂质态的性能，采用Huybrechts线性组合算符和么正变换，导出了强，弱耦合下杂质态的基态能量的普适表达式。     

自动喷水灭火系统设计问题探讨

通过对中危险级自动喷洒灭火系统喷头布置形式的研究 ,推导出喷头在矩形、棱形、走道单排布置时的适宜布置间距 ,依据喷头最有利点与最不利点间的压力范围控制管道的压力损失 ,确定配水干管和支管的管径。不宜盲目采用常规推荐的管径