查询词典 lines of curvature

For the application of Mathematica in the differential geometry,this paper introduces how to processe the curve curvature and the torsion questions,the graphic expression of the curvature and the torsions,and draw curves by the curvature and the torsions. Curvature ; torsion ; solution curve ; osculating plane ; natural parameter ; natural equation

利用Mathematica，只要输入有关系统命令就可以得到期望的结果。1曲率和挠率及其图形意义假设R3上的曲线一般参数表示为r=r它的曲率和挠率计算公式是：κ=‖r′×r&‖‖r′‖3τ=‖r′×r‖我们知道，空间曲线r=r在一点(s=s0)邻近的近似方程为ξ=sη=120κs2ζ=160κ0τs3通过近似方程可以确定曲线在其基本三棱形的三个平面(即密切平面，法平面，从切平面)上的投

Disclosed is a leaky-wave dual polarized slot type antenna, including: first and second feeding circuit sections comprised of N-first strip lines and N-second strip lines with a loop every first period along the X-axis on the first dielectric layer and a second period along the Y-axis, in which the N-first strip lines and the N-second strip lines are parallel to each other being alternate, and each length of Ls1 and Ls2 for the first period satisfies the equation of , first and second multi-channel dividers formed at once and the other sides of the first dielectric layer, to connect the N-first strip lines and the N-second strip lines parallel with each other; and first and second central ports formed in the opposite direction of the cavity, each of the feeding circuit sections being connected to the first and second multi-channel dividers; and first and second slot sections being formed by patterning the second shielding layer, in which M-first and M-second slots are arrayed along the direction of the X-axis and each of the first and second slots forms N-row first and N-row second slot arrays, respectively, which cross the first and second strip lines for each, the first slot and the second slot being orthogonal to each other.

公开了一种漏泄波双偏振槽型天线，包括：第一和第二馈电回路部分，其具有沿着X轴在第一介电层每第一周期以及沿着Y轴的第二周期形成具有环路的N第一带状线和N第二带状线，其中N第一带状线和N第二带状线彼此平行并交替，并且对第一周期的各Ls1和Ls2的长度满足等式，第一和第二多通道分配器寻形成在第一介电层的一侧和另外一侧上，以连接彼此平行的N第一带状线和N第二带状线；以及形成在腔的相对方向中的第一和第二中心端口，每个馈电回路部分连接到第一和第二多通道分配器；以及第一和第二槽部分，所述第一和第二槽部分通过对第二屏蔽层形成模式而形成，其中M第一和M第二槽沿着X轴的方向安置，各第一和第二槽分别形成N行第一和N行第二槽阵列，其对每个横过第一和第二带状线，第一槽和第二槽彼此正交。

The ELISA titre was 1:2000.By cell fusion, 46 hybridoma cell lines were screened,and 10 lines were cloned with limited dilution method.16 lines secreting anti-bFGF monoclonal antibody were been developed, and 2 lines targeted fusion protein. Sensitive ELISA and dot-ELISA for bFGF was developed with this mAb. The detection limit of them were 0.1 ng/well and 0.5 ng/well. The expression level of anti-bFGF mAb by different rebuilt engineering cells were identified by western blot and to direct rebuild recombiment engineering cell. The dose and character of anti-bFGF mAb inhibiting bFGF biology activity were searched by 3T3 cell line. Searching 20 tissue of liver cancer, liver cancer cell lines and general tissue of liver, finding bFGF were highly expressed in tissues of liver cancer and liver cancer cell lines. Affinity chromatography purifying bFGF was set up by mAb binging CNBr-pepharose 4B, and the purification was 95%. We found that the titer of anti-bFGF antibody was very high in serum of neuropathic amyotrophia.

应用细胞融合制备46株杂交瘤，对其中10株进行克隆化，获得bFGF特异单抗16株，2株针对融合蛋白；应用该单抗建立了0.1ng/孔灵敏度的ELISA，0.5ng/孔敏度的斑点ELISA；用Western-blotting鉴别了经改造不同工程菌蛋白表达，指导重组工程菌改造；用3T3细胞培养研究了单抗抑制bFGF生物学活性的剂量和特点；合作研究了20例肝癌、肝癌细胞株和正常肝组织，发现前者bFGF高表达；应用单抗偶联CNBr-sepharose 4B建立了小量免疫亲和层析纯化bFGF，纯度达到95%；发现神经性肌萎缩患者血清中含有高滴度的bFGF抗体，已有10多家单位引用单抗或进行合作。

2B8a was weakly reactive to neutrophils (23.72%) and negative for T cells, NK, DC, RBC and Plt. The antibody reacted to all 3 marrow CD34+ cells with an average positive rate of 39.33% while it was negative for G-CSF-mobilized CD34+ peripheral blood stem/progenitor cells (PBSC, 1.25%). Cell line analysis showed that the antibody notably reacted to three out of 4 cell lines (Raji, SMS-SB, Nalm-6 and Nall-1) with the positive rates of 98.78%, 98.61%, 94.93% respectively and weakly to one of them with 5.68% in B lineage cell lines and monoblastic cell line (U937, 67.78%) while it was only weakly positive or negative for other myeloid leukemia cell lines including Meg01 (33.40%), HL-60 (29.70%),K562 (28.19%), KG1a (16.23 %) and HEL92.1.7 (8.02%). Among 4 T lineage leukemia,5 neuroblastoma and 1 colon cancer cell lines tested, only Molt-3 was found weakly positive (31.40%) for 2B8a, while the remaining 3 T cell lines (Molt4, JM and CCRF-CEM), 5 neuroblastoma cell lines (LA-N1, KCNR, BE, SK-N-SH, SK-N-AS) and the colon cancer cell line (HR8348) tested were negative.

结果表明： 2B8a抗原在外周血B细胞上表达（3/3例，平均阳性细胞数为26.29 ％），而在T淋巴细胞和NK细胞上不表达（0/3例）；在粒细胞和单核细胞上阳性表达均为2/3例，平均阳性细胞数分别是23.72 ％和59.84 ％；在DC细胞、红细胞和血小板上均不表达（0/3例）。2B8a抗原在骨髓CD34＋细胞上的阳性表达是3/3例，平均阳性细胞数39.33 ％，而在G-CSF动员的外周血CD34+细胞上的阳性表达仅1/3例，平均阳性细胞数为1.25 ％。2B8a抗原在B系细胞系Raji、SMS-SB、Nalm-6和Nall-1上的平均阳性细胞数分别为98.78 ％、98.61 ％、94.93 ％和5.68 ％；在T系细胞系Molt-3上的平均阳性细胞数为31.40 ％，而在Molt-4、JM和CCRF-CEM 细胞上不表达；在髓系细胞系U937、Meg-01、HL-60、K562、KG1a和HEL92.1.7上的平均阳性细胞数分别为67.78 ％、33.40 ％、29.70 ％、28.19 ％、16.23 ％和8.02 ％；在神经母细胞瘤细胞系SK-N-SH、KCNR、BE、LAN-1和SK-N-AS细胞以及结肠癌细胞系HR8348细胞上均不表达，而在羊膜细胞系FL细胞上呈一定的阳性表达，平均阳性细胞数为45.03％。

Cell line analysis showed that the antibody notably reacted to three out of 4 cell lines (Raji, SMS-SB, Nalm-6 and Nall-1) with the positive rates of 98.78%, 98.61%, 94.93% respectively and weakly to one of them with 5.68% in B lineage cell lines and monoblastic cell line (U937, 67.78%) while it was only weakly positive or negative for other myeloid leukemia cell lines including Meg01 (33.40%), HL-60 (29.70%),K562 (28.19%), KG1a (16.23 %) and HEL92.1.7 (8.02%). Among 4 T lineage leukemia,5 neuroblastoma and 1 colon cancer cell lines tested, only Molt-3 was found weakly positive (31.40%) for 2B8a, while the remaining 3 T cell lines (Molt4, JM and CCRF-CEM), 5 neuroblastoma cell lines (LA-N1, KCNR, BE, SK-N-SH, SK-N-AS) and the colon cancer cell line (HR8348) tested were negative.

结果表明： 2B8a抗原在外周血B细胞上表达（3/3例，平均阳性细胞数为26.29 ％），而在T淋巴细胞和NK细胞上不表达（0/3例）；在粒细胞和单核细胞上阳性表达均为2/3例，平均阳性细胞数分别是23.72 ％和59.84 ％；在DC细胞、红细胞和血小板上均不表达（0/3例）。2B8a抗原在骨髓CD34＋细胞上的阳性表达是3/3例，平均阳性细胞数39.33 ％，而在G-CSF动员的外周血CD34 细胞上的阳性表达仅1/3例，平均阳性细胞数为1.25 ％。2B8a抗原在B系细胞系Raji、SMS-SB、Nalm-6和Nall-1上的平均阳性细胞数分别为98.78 ％、98.61 ％、94.93 ％和5.68 ％；在T系细胞系Molt-3上的平均阳性细胞数为31.40 ％，而在Molt-4、JM和CCRF-CEM 细胞上不表达；在髓系细胞系U937、Meg-01、HL-60、K562、KG1a和HEL92.1.7上的平均阳性细胞数分别为67.78 ％、33.40 ％、29.70 ％、28.19 ％、16.23 ％和8.02 ％；在神经母细胞瘤细胞系SK-N-SH、KCNR、BE、LAN-1和SK-N-AS细胞以及结肠癌细胞系HR8348细胞上均不表达，而在羊膜细胞系FL细胞上呈一定的阳性表达，平均阳性细胞数为45.03％。

From the beginning of the 1990s has so far developed more than 100 specifications of the products presses are the main bellows production lines, large-diameter PVC drainage, sewerage lines, PE large-diameter gas supply, drainage pipe production lines, plate production line, granulation production lines, Plum of the production line, PP-R pipe production lines, one-to two-pipe production lines and 240 T, 180T Profile production line, plastic extrusion machines, high-speed mixer, mixed plastics and various auxiliary units and exported to the Philippines, Vietnam, Thailand , Malaysia, Russia, Iran and other places.

从90年代初起至今共开发了100多个规格的塑机产品，主要有波纹管生产线、大口径PVC排水、排污生产线、PE大口径煤气、供、排水管材生产线、板材生产线、造粒生产线、梅花管生产线、PP-R管生产线、一模双出管材生产线及240T、180T异型材生产线、塑料挤出机、高速混合机、混合机组以及各种塑料辅机，并远销菲律宾、越南、泰国、马来西亚、俄罗斯、伊朗等地。

Some geometric data of ellipse in hyperbolic space are considered, such as set inclusion, arc length, geodesic curvature, curvature, area and total curvature.

摘要在双曲空间中，考察椭圆的包含关系，对弧长元素、测地曲率、曲率、面积及全曲率等几何量做出细致考察。

Consider the circle that is tangent to the curve at and has the same curvature there. Its center will lie on the concave side of the curve. This circle is called the circle of curvature. Its radius is the radius of curvature, and

在点处的曲线的法线上，在凹的一侧取一点，使得，以为圆心，半径为的圆叫做曲线在点处的曲率圆，曲率圆的圆心叫做曲线在点处的曲率中心，曲率圆的半径叫做曲线在点处的曲率半径。

If we give some restrician to the intrinsic quantities of submanifolds, such as second fundamental form, scalar curvature,Ricci curvature or sectional curvature,then we can get some new property of the submanifolds.The procedure is called pinching problem of submanifolds.

对子流形的第二基本形式模长平方s，数量曲率R，Ricci曲率R_及截面曲率R_等内在量，加以某种限制，从而得到子流形的某些性质，叫做子流形的pinching问题。

On the other hand, Let M~n be an z-dimensional complete noncompactoriented submanifold with finite total curvature in an-dimensional simplyconnected space form F~ of constant curvature c. In this thesis, we provethat if M satisfies one of the following: n≥3, c=0 and integral from n=M H~n＜∞;n≥5, c=-1 and H＜1-2/n~(1/2); n≥3, c=1 and H is bounded, where Hdenotes the mean curvature of M. then the dimension of the space of L~2 harmonic1-forms on M is finite.

本文还证明：若具常曲率c的完备单连通空间型F~中具有有限全曲率的n维完备非紧可定向子流形M满足下面条件之一：n≥3，c=0且integral from n=M H~n＜∞；n≥5，c=-1且H＜1-2/n~(1/2；n≥3，c=1且H有界的，则M上L~2调和1-形式空间的维数是有限的，这里H为M的平均曲率。

Vishnu entered a dark fourth dimensional dream that did not support his field or continued life.

毗瑟挐进入了一个第四密度的黑暗梦想，那里并不支持他的能量场或继续生命。

Leaders and decision-making persons use it to collect the data, including the information of unit work, handing in fee, oweing fee, prepaying fee,changing and afterpaying and account transfering of joining-insurance employee, and account paying of all kinds of insurances from hospitalization insurance institutions.The collected data is picked up, organized, switched and showed to user.

该子系统主要面向各级领导、决策分析人员；从各个医疗保险经办机构和定点医疗机构采集数据，包括在各个医疗保险经办机构处理的单位办公信息，单位缴费、欠费、预缴费信息，参保职工变更信息，参保职工增减变动信息，参保职工补缴信息，参保职工帐户划拨信息：包括各定点医疗机构处理的各险种帐户支出信息，各险种的统筹金支付信息等；将采集的数据提取，组织和转换，然后展示给用户。