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First, we introduce and discuss the various methods of multivariate polynomial interpolation in the literature. Based on this study, we state multivariate Lagrange interpolation over again from algebraic geometry viewpoint:Given different interpolation nodes A1,A2 .....,An in the affine n-dimensional space Kn, and accordingly function values fi(i = 1,..., m), the question is how to find a polynomial p K[x1, x2,...,xn] satisfying the interpolation conditions:where X=(x1,X2,....,xn). Similarly with univariate problem, we have provedTheorem If the monomial ordering is given, a minimal ordering polynomial satisfying conditions (1) is uniquely exsisted.Such a polynomial can be computed by the Lagrange-Hermite interpolation algorithm introduced in chapter 2. Another statement for Lagrange interpolation problem is:Given monomials 1 ,2 ,.....,m from low degree to high one with respect to the ordering, some arbitrary values fi(i= 1,..., m), find a polynomial p, such thatIf there uniquely exists such an interpolation polynomial p{X, the interpolation problem is called properly posed.

文中首先对现有的多元多项式插值方法作了一个介绍和评述,在此基础上我们从代数几何观点重新讨论了多元Lagrange插值问题:给定n维仿射空间K~n中两两互异的点A_1,A_2,…,A_m,在结点A_i处给定函数值f_i(i=1,…,m),构造多项式p∈K[X_1,X_2,…,X_n],满足Lagrange插值条件:p=f_i,i=1,…,m (1)其中X=(X_1,X_2,…,X_n),与一元情形相似地,本文证明了定理满足插值条件(1)的多项式存在,并且按"序"最低的多项式是唯一的,上述多项式可利用第二章介绍的Lagrange-Hermite插值算法求出,Lagrange插值另一种描述是:按序从低到高给定单项式ω_1,ω_2,…,ω_m,对任意给定的f_1,f_2,…,f_m,构造多项式p,满足插值条件:p=sum from i=1 to m=Ai=f_i,i=1,…,m (2)如果插值多项式p存在且唯一,则称插值问题适定。

Results:The level of total anaerobic population and total aerobic population of excrement specimens of three kinds of IBS sufferers were different significantly, particularly the level of bifidobacterium and cillobacterium(P.01);the level of bacteroid population was higher significantly in diarrhea-predominant and mixed type of IBS sufferers (P.01);the level of enterococcus population was higher significantly in diarrhea-predominant IBS sufferers(P.05);among the aerobes, the number of Escherichia coli and Staphylococcus aureus colonies were increased by different level(P.01or0.05) in the IBS suffers, in particular, the number of Escherichia coli colonies in diarrhea-predominant IBS sufferers increased most significantly.

结果:三种类型的IBS患者粪便中总厌氧菌群和需氧菌群数目与健康人差异明显,特别是双歧杆菌属和乳酸杆菌属明显减少(P.01;拟杆菌菌落数在腹泻型和混合型IBS患者中明显增加(P.01);肠球菌菌落数在腹泻型IBS患者中明显增加(P.05);需氧菌中患者组大肠杆菌和金黄色葡萄球菌菌落数均不同程度增加(P.01或0.05),大肠杆菌菌落数在腹泻型IBS患者中增加最明显。

Results摘要: The incidence rates of renal dysfunction, shock, cardiovascular failure and gastrointestinal hemorrhage, the score of acute physiology and chronic health evaluation Ⅱ and the frequencies of pulse and breath in the severe hypoalbuminemia group were all higher than those in the mild hypoalbuminemia group (P<0.05 or P<0.01). The differences of incidence rate of hepatic failure and the scores of Ranson and Balthazar CT between these two groups had no statistical significance (P>0.05). The incidence rate of infection and the mortality in the severe hypoalbuminemia group were higher than those in the mild hypoalbuminemia group (P<0.01) in the later stage of SAP.

结果摘要:重度低白蛋白血症组肾功能衰竭、休克、心衰及消化道出血的发生率高于轻度低白蛋白血症组(P<0.01,肝功能衰竭发生率两组比较无统计学差异;Ranson评分及Balthazar CT评分两组间比较,差异无统计学意义(P>0.05);重度低白蛋白血症组的急性生理和慢性健康评价指标Ⅱ(acute physiology and chronic health evaluationⅡ, APACHEⅡ)评分、脉搏和呼吸频率均明显高于轻度低白蛋白血症组(P<0.05或P<0.01;重度低白蛋白血症组后期感染发生率及病死率均高于轻度低白蛋白血症组

Scores of omatization, sensitivity of interpersonal relation, depression, anxiety, hostility, fear, monomania, psychiatric and total scores, total average scores, positive numbers, positive average numbers of the experimental group were higher than those of the control groupP<0.01). Correlation analysis showed that age was positively correlated with the mood of depression and negative copying(P<0.05), educational level was negatively correlated with the mood of depression and anxiety, and serum albumin was negatively correlated with negative copying(P<0.05). Conclusion: The mood of depression and anxiety is an obvious symptom in nondialysis patients with chronic kidney disease.

结果:慢性肾脏疾病组焦虑情绪、抑郁情绪和消极应对显著高于对照组(P<0.01);人格类型稳定性两组相比差异有统计学意义(P<0.01);两组心理健康状况相比,躯体化、人际关系敏感、抑郁、焦虑、敌对、恐惧、偏执、精神病性及总分、总均分、阳性数、阳性均数差异均有统计学意义(P<0.01);心理指标与被试变量的相关性分析显示年龄与抑郁、消极应对呈正相关(P<0.05);受教育程度与焦虑、抑郁呈负相关(P<0.05);血清白蛋白与消极应对呈负相关(P<0.05);而性别、职业、肾功能、血红蛋白与焦虑抑郁情绪、应对方式及心理健康状况总分、总均分、阳性数无相关性。

When P wave incidents,The P-P wave and P-SV wave created from the same point are both functions of incidence angle,and of the media above and below the interface,V p and V s they are coupled.

在P波入射时,地下同一点产生的P P波和P SV波是入射角、界面两侧纵波阻抗和横波阻抗的函数,并且两者是耦合的。

By the changing tendency of N, P, K, we coudle see N, P decreased significantly, especially P, the concentration of which was deficient for Chinese Fir nomal growing, but K nutrients were unnoted. So we suggestted increasing N, P fertilizer for Chinese Fir normal growing and might rise its yield.

由N、P、K的变化趋势可以看出,在杉木生长的整个周期,N、P含量降低明显,特别是P,其含量远低于杉木生长所需要的P含量的临界值,处于严重缺乏状态,K含量变化不明显,因此,建议在生产中增施N、P肥,以保证杉木正常生长,提高产量。

Reticulatum has higher ability to remove N and P in eutropic water bodies and treated sewage waste water; and the highest removal rates are 67.3% and 91% respectively during 6 days treatment.The removal amount of N or P per wet weight increases with increased N or P concentration under N and P contents between 4.2-50.4 mg/L and 0.186-2.232 mg/L. In op...

在含4.2-50.4mg/LN、0.18oh2.232mg/LP条件下,单位湿重的水网藻对N、P的去除能力随N、P浓度的增加而增加温度对水网藻N、P去除能力的影响与生长一致,生长越旺盛,去除能力越强水网藻对门扶乏的自然水体中的N、P去除能力也较强,去除率分别为70%和50%以上;而添加P,对TN、TP的去除率也增加因此,使用水网藻作为富营养化治理植物具有一定的可行性

Hypoxia increased the percentage of intra-acinar muscular and decreased the one of nonmuscular artery. 764-3 could reduce MA% from 33.75±11.26 (H2w) to 21.25±5.86 (7-H2w, p<0.05) and from 41.50±10.70 (H4w) to 26.67±10.92 (7-H4w, P<0.05), respectively; meanwhile, increase NMA% from 35.42±9.00 (H2w) to 45.42±2.92 (7-H2w, p<0.05) and from 21.50±9.29 (H4w) to 33.33±5.40 (7-H4w), p<0.05, respectively.

与正常组大鼠相比,缺氧2周、4周后MA%明显增加,分别为33.75±11.26(<0.001)和41.50±10.70(p<0.01);NMA%显著减少,分别为35.42±9.00(p<0.001)和21.50±9.29(p<0.001)。764-3处理的大鼠其三型血管比例的失调得到部分改善。7-H2w组与7-H4w组MA%分别为21.25±5.86和26.67±10.92(p均<0.05),NMA%为45.42±2.92和33.33±5.40(p均<0.05)。

Results: In HPC and Z n2+ induced groups, all the contents of MT and the activities of antioxida ses were obviously higher than those in H/R (P.05,P.01 respectively ). While using MT, the activities of SOD were progressively increased than contr ol(P.05), CAT and GSHpx activities were lower than control(P.01), bu t were significantly higher than those in I/R group(P.01). In MT antibody g roups, the activities of antioxidase were decreased extremely.

结果:HPC和锌诱导组MT含量及抗氧化酶的活力均显著高于H/R组P.05、P.01:外源MT处理后 SOD活力显著高于对照组( P<0.01,CAT和GSHpx活力虽然显著低于对照组但显著高于H/R组(P<0.01);使用M T抗体后,酶活力最低。

The prevalence of character limitations was significantly higher in left-behind children (64.4%) than in non-left-behind group (47.6%; x^2=21.25, P.01). The depressive symptoms score of the left-behind children was significant higher (40.4%) than that of the non left-behind group (27.8%;χ^2=13.78, P.01). Scores of EPQP and EPQN were positivey correlated with scores of CES-DC scale (r=0.198, r=0.372; P.01). Ten variables influenceing the personality traits and depressive symptoms of children were age, sex, peer interaction, parents' expectation for children, consanguineous marriage of parents satisfaction to family condition, self-estimate, academic achievement, frequency of meeting with the parents, and psychiatric history of family.

结果 留守儿童精神质、神经质得分分别为(5.25±2.56),(9.48±5.33)分,高于非留守儿童的(4.79±2.16),(8.10±497)分,差异有统计学意义(P.05, P.01);留守儿童个性偏差检出率为64.4%,高于非留守儿童的47.6%(χ^2=21.25, P.01);抑郁症状检出率为40.4%,高于非留守儿童的27.8%(χ^2=13.78, P.05); CES-DC得分(18.24±8.65)分,高于非留守儿童的(15.85±7.45)分(P.01);相关分析提示,EPQ中精神质、神经质量表与CES-DC呈正相关(r=0.198, r=0.372, P.01);儿童性别、年龄、同伴交往、父母近亲结婚、家庭状况满意度、自我评价、学习成绩、与父母见面频率、父母期望、精神病家族史共10个变量影响着留守儿童的个性和抑郁情绪。

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相关中文对照歌词
P.R.E.N.U.P.
F.C.P.S.I.T.S.G.E.P.G.E.P.G.E.P.
P & P
P&P 1.5
H.I.P.H.O.P.
W.P.I.M.P. (Skit)
P.C.P.
O.P.P.
N.Z.H.I.P.H.O.P.
P.P.S.H.
推荐网络例句

He is the most remarkable man that I have ever known.

他是我知道的人中最值得注意的人。

Increased appearance of lymphocele was noticed in patients with diabetic nephropathy, congenital malformations of the urinary tract, and inflammatory diseases, including glomerulopathy and extraglomerular ones, after high-voltage radiotherapy and after removal of the renal graft.

经过高压放射疗法和切除移植肾后,在糖尿病肾病患者、泌尿系统先天性畸形患者和炎症患者身上发现淋巴囊肿有所增加,包括肾小球病和球外疾病等。

Pagans and partygoers greeted the summer solstice at the ancient stone circle of Stonehenge.

异教徒和社交聚会常客在史前巨石柱的古老的石圈附近庆祝夏至。