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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。

Later, we estimate our variational functional to get a nontrivial solution of the new equation and so the second solution for is obtained.

然后我们利用函数平移将原来的非齐次边界问题转化为奇次边界问题,验证了其对应的变分泛函满足不带条件的山路引理的两个条件,并给出了泛函临界点存在的一个充分条件,最后对具体的变分泛函进行估计,得到了新方程非平凡解的存在性结果,从而得到了原方程第二个正解的存在性结果。

In addition nC〓, nC〓, two isomers of C〓 sterene and three isomers of C〓 isoprenoid hydrocarbons were also identified from aliphatic fraction of pyrolyzed product at 200℃. After pyrolyzed at 300℃, the main aliphatic hydrocarbons were normal alkanes ranged from C〓 to C〓, with C〓 as the main peak and C〓 as the second main peak. Meanwhile, pristane, phytane and C〓 sterane were also detected. In the pyrolysates at 400℃ and 500℃, the content of saturated hydrocarbons decreased, the range of normal alkanes distribution became narrow and the main peak was nC〓. Low concentration of C〓-C〓 steranes was detected and the content of C〓-C〓 increased more.

在200℃热模拟产物饱和烃馏分中除检测出两种长链烯烃外,还检测到正十九碳单烯烃、正三十五碳双烯烃、两个碳二十八甾烯的同分异构体和三个C〓类异戊二烯烷烃化合物同分异构体。300℃模拟产物饱和烃主要为正烷烃,正烷烃的碳数分布范围为C〓-C〓,以C〓为主峰、C〓为次主峰;另外,样品中还检出姥鲛烷、植烷和C〓甾烷等化合物。400和500℃热模拟产物中的饱和烃含量下降,正烷烃系列碳数分布范围变窄,主峰碳后移至C〓,检测到低浓度的C〓-C〓甾烷系列化合物,另外,C〓-C〓藿烷系列化合物含量进一步增加。

There were 15 pediatric ALL patients, which had received 50 times of chemotherapy with HD-MTX. The records about blood concentration of MTX and clinical conditions for 50 times chemotherapy were divided into two groups. Group I: contained 25 records of stand-risk patients, administering MTX 3.0g/m2; Group II: contained 25 records of mid and high-risk patients, administering 5.0g/m2. Continuous intravenous dripped MTX for 24th in both two groups, while implemented hydrating and alkalizing for 4 days. All patients were rescued 6 times through leucovorin, 15mg/m~2, since 12th after the end of MTX dripping. Then examined the blood concentration of MTX by fluorescence polarization immunoassay approach at 24h, 44h, 68h, at the same time inspected liver function, blood routine examination, the occurrence time and degree of toxicological reactions.

观察15例ALL住院患儿,接受大剂量MTX共50例次,按ALL危险度分2组,低危治疗组接受MTX剂量为3.0g/m2为I组;中高危治疗组接受MTX剂量为5.0g/m2为II组,连续静脉点滴MTX共24小时,同时给予水化碱化治疗,共4天,全部病例均在MTX滴注结束后12小时开始静脉推注四氢叶酸钙(leucovorin,LV)解救,15mg/m2/次,共6次,采用免疫偏振荧光法检测药物滴注24、44、68小时MTX血药浓度,同时检测两组病例的肝功、血常规,观察临床出现MTX毒副反应的时间及程度,观察每个病例毒副反应出现程度与MTX血药浓度关系,两组毒副反应程度比较,进行统计学分析。

Coning and quartering method: put the sample onto the steel plate in the form of a cone; each scoop shall be inserted from the top of conical to make it spread along the top evenly, and pay attention not to misplace the center of cone; do it at least 3 times and mixed thoroughly; then flatten the top and use the cross plate from top to bottom to divide into 4 equal segments, randomly take out 2 oppositesegments and do it repeatedly for several times and finally divided into not less than the minimum retained quantity.

圆锥四分法:将样品置于已用样品刷好的钢板上,堆成圆锥形,每铲由圆锥顶尖落下,使其均匀地沿锥尖散落,注意勿使圆锥中心错位,如此反复至少移堆三次,使其充分混匀,然后将锥尖压平,用十字板自上插下,分成四等份,任取两个对角的等份,重复操作数次,缩分至不少于最少留样量。

The Yankees took a 2-0 lead three batters into the bottom of the first on two walks and Bobby Abreu's two-run double to left-center, then were shut out for the final 27 outs by righthanders Dustin McGowan (6-5, 4.84 ERA), Casey Janssen and Jeremy Accardo (14th save).

洋基在一局下光靠前三棒--二名保送以及阿伯的两分打点左外野二垒安打。就取得了两分领先。然后我们接下来的27个出局数完全被McGowan(6胜5败。自责分率4.84),Janssen,Accardo(第14次救援成功)所封锁。

In a creative wine industry first, Woodbridge bottles and releases Gold twice a year: The wine released in July is made from Southern Hemisphere grapes, while the wine released in November comes from Northern Hemisphere grapes.

开创葡萄酒业的历史,伍德布里奇每年酿造金装葡萄酒两次:七月分的用南半球的葡萄酿制,而十一月份的用来自北半球的葡萄酿制。

I am also satisfied with my performance so far, finishing 11th twice - in Bahrain and Malaysia - and doing well in Australia when I found Villeneuve in my way.

到现在为止,我也对自己的表现很满意,以11名的成绩完赛了两次,分别是在巴林和马来西亚。当澳大利亚维伦纽夫在我的路线上时,我也干得不错。

I've been a part of a couple first series: the one in Monterrey and the Paradise Series we had in Hawaii against the Cardinals.

之前我有过两次类似的行程,分别是去墨西哥和夏威夷。

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推荐网络例句

They weren't aggressive, but I yelled and threw a rock in their direction to get them off the trail and away from me, just in case.

他们没有侵略性,但我大喊,并在他们的方向扔石头让他们过的线索,远离我,以防万一。

In slot 2 in your bag put wrapping paper, quantity does not matter in this case.

在你的书包里槽2把包装纸、数量无关紧要。

Store this product in a sealed, lightproof, dry and cool place.

密封,遮光,置阴凉干燥处。