查询词典 piecewise regulated function

Mechanical strains also regulated the protein and mRNA expression of several differentiation markers, as well as the activation of extracellular signal-regulated kinases, p38 MAP kinase and protein kinase B in a frequency-dependent manner. Furthermore, the inhibition of p38 pathway could block the strain-frequency induced the phenotype modulation of VSMCs, neither ERKs nor Akt. Frequency of mechanical strain, not conditioned medium, regulated the phenotype of VSMCs in a frequency-dependent manner. Rho-GDI alpha was suppressed by the mechanical strain at 1Hz.

采用免疫细胞化学法检测VSMCs形态和排列的变化；RT-PCR和Western blotting检测表型标志分子α-肌动蛋白、肌球蛋白重链(SM1/2)、肌动蛋白相关蛋白SM22α和调宁蛋白(h1-calponin)的mRNA和蛋白水平的变化；抑制剂或RNA干扰阻断可能的信号调节分子的活性或表达，包括p38、细胞外信号调节激酶1/(2extracellular signal-regulated kinases， ERK1/2)、蛋白激酶B和Rho-鸟苷酸解离抑制因子(Rho-guanine nucleotide dissociation inhibitor， Rho-GDI alpha)，研究了不同频率张应变对VSMCs表型转化的影响及其调节机制。

Results showed that the expressions of both Fas and FasL on tumor cells were up-regulated compared with noncancerous liver cells from same patient.When compared with the PBLs from same patient,the expression of Fas on TILs was highly up-regulated whereas the FasL down-regulated.

结果显示，肝细胞癌患者肿瘤细胞Fas与FasL表达水平较自身非肿瘤肝细胞上调；肿瘤浸润淋巴细胞与自身外周血淋巴细胞相比，Fas表达上调而FasL表达下调。

According to characteristics of the discontinuous piecewise rigid-body model and the continuous deformable body model, a new model—Arbitrary Mesh Interface Element Model based on piecewise rigid-body displacement pattern and strain accumulated on interfaces is established, which can put both continuous media problems and discontinuous media problems into consideration.

本文根据不连续的分片刚体模型和连续介质变形体模型的特点，建立了统一分析连续介质问题和不连续介质问题的新模型——基于分片刚体位移模式和界面累积变形的任意网络界面元模型。

It's the first time that from the angle of computational mathematics combined with the structure model of parallel machine, the parallel degree of the relevant algorithms in orthopaedics clinic engineering modeling system, such as piecewise cubic Lagrange interpolation formula, piecewise cubic Hermite's interpolation formula, cubic spline, Chebyshev multinomial fitting algorithms, least square method and contour curve multinomial algorithms, were discussed.

论文首次从计算数学的角度并结合并行机的结构模式出发，讨论了在骨科临床工程造型系统中可能涉及的如分段三次拉格郎日插值公式、分段三次埃尔米特插值公式、三次样条函数、切比雪夫多项式拟合算法，最小二乘法以及轮廓曲线多项式求值算法的并行度。

Finally,the concept of the Conley index for piecewise continuous maps is defined, and an example for calculating the Conley index of a 1-d piecewise isometry is given.

最后，本文介绍了间断动力系统的Conley指标的概念，并给出了一个一维分片等距映射的例子，计算了其Conley指标。

In this paper,we give the error expressions of piecewise linear Lagrange polynomial interpolation and piecewise cubic polynomial interpolation using the Taylor expansions.

中文摘要：本文利用Taylor展开得到三角形上线性Lagrange插值和三次Lagrange插值的导数余项公式，对这些余项公式进行分析，给出了两类能以四阶精度逼近被插函数在对称点的导数值的格式，一种是在均匀剖分时其分片线性插值的相邻单元的导数值的后处理格式，一种是在六片强正规剖分时的三次插值在对称点上的导数值的后处理格式，使得在已知原函数在各节点的值后，通过一个简单的线性计算就可得到原函数在对称点的导数的一个超逼近值，将以往提出的平均导数的二阶精度提高到四阶。

Because of the condition of 〓 for two neighbour parametricspline surfaces is too strong,here,instead of it,some simple and practicableconditions of 〓 resulted from the general theorem obtained by Prof.LiuDing Yuan in Chapter 1 were proved,and three 〓 triangular splinesurfaces schemes wre presented:one is piecewise cubic spline surface patcheshaving local 〓 and whole 〓 continuity based on the refined HCTtriangulation,another is the same degree spline surface patches but based onthe refined Powell-Sabin triangulation,the third is piecewise quartic splinesurface patches having local 〓 and whole 〓 continuity based on therefined P-S triangulation.

由于对参数曲面，一阶导数连续的要求较强，我们采用第一章从刘鼎元定理导出的简单实用的几何连续条件，讨论了基于HCT加细三角剖分和P-S加细三角剖分上的两种局部达一阶导数连续而整体有一阶几何连续的分片三次样条曲面构造算法，一种局部达二阶导数连续整体有一阶几何连续的分片四次样条曲面构造方法。

Theorem(Stokes's Theorem) Let be a piecewise smooth oriented curve in three-space, be a piecewise smooth oriented surface with boundary curve .The surface and the curve are related by a right-hand relationship, i.e., if the fingers of the right hand are cupped in the direction of ,then the thumbpoints in the direction of orientation of .,, have continuous first partial derivatives on and ,then

定理 设为分段光滑的空间有向闭曲线，是以为边界的分片光滑的有向曲面，的正向与的侧符合右手规则(即如果右手大拇指表示曲面的方向，则弯曲四指表示曲线的方向)，函数，，在曲面上具有一阶连续偏导数，则有下述公式成立

Finite element methods are analyzed, where the stress is approximated by the discontinuous Raviart-Thomas element of lowestorder,and the velocity by the piecewise constant element,and the Lagranian multiplier by the trace space of the piecewise continuous linear element.

然后发展其有限元方法：对应四变量分别用间断型Raviart-Thomas最低阶元，分片常数元，连续线性元和连续线性元的迹空间，我们获得了稳定性和最优误差界，通过后处理办法，我们得到一个适合于计算的速度-压力格式，该格式可视为"mini"元方法的一个变形（本文格式中引用了局部投影算子）。

Theoretical analysis and experimental results demonstrate that some well known piecewise linear representation methods are special situations of proposed method. 2 A systemic method of indexing and similarity based querying in time series databases based on Piecewise Polynomial representation is proposed.

这项研究还从理论上证明了分段多项式表示是一种理想的时间序列高级数据表示形式，而著名的分段直线表示法和分段合计表示法只是PPR的特例。

Objective:To compare the response control and attention of Schizophrenic patients with that of the healthy controls by Integrated Visual and Auditorycontinuous performance test. To quantitate the impairment of cognitive function in patients, and to explore the relationship between cognitive function and the severity of the disorder.

目的：探讨精神分裂症病人在IVA持续操作测试中的反应控制能力、注意力等，并与健康人进行比较，从而量化精神分裂症病人的认知功能损害，并进一步探讨其认知功能与疾病严重程度的关系。

Main effective factors including subcooling degree, mechanical vibration, gas hydrate reformation, environment temperature, noncondensing gas and surfactant are analyzed.

指出过冷度、机械振动、重复生成水合物、环境温度、不凝性气体、添加剂是影响气体水合物生成的主要因素，还对R152a水合物的放冷进行了实验研究。