所用的工具为不动点指数理论。
本文利用不动点指数理论得到离散边值问题多重正解的存在性。
In this paper, we consider the existence of multiple positive solutions of discrete boundary value problem. The theory of fixed point index is used here to derive the existence theorem.
图表中出现的结果包括每条染色体的相对长度、臂比、着丝点指数。
Table is presented listing the results obtained including the relative length, arm ratio and centromere index of each chromosome.
利用锥上的不动点指数研究了一阶非线性常微分方程组的周期边值问题。
In this paper, by using the fixed point index method, the authors discussed the periodic boundary value problem of first order differential systems.
利用锥理论给出了随机1-集压缩算子的随机不动点指数的一些计算方法。
Some new methods of computation for random fixed point index of random 1-set-constractive operator.
摘要利用锥上的不动点指数研究了一阶非线性常微分方程组的周期边值问题。
In this paper, by using the fixed point index method, the authors discussed the periodic boundary value problem of first order differential systems.
通过利用不动点指数理论及一个新的三解定理，得到了边值问题多个正解的存在性。
By using the fixed point theory and a new three-solution theorems, the existence of multiple solutions of the boundary value problem was obtained.
结果表明，常染色体联会复合体的相对长度和着丝点指数与体细胞染色体的相应参数具有很好的吻合性。
It is shown that the mean relative lengths and centromeric indices of autosomal SCs agree closely with those of mitotic chromosomes.
通过使用不动点指数定理，我们得到了问题(3.1.1)正解的存在性以及问题(3.1.2)正解的存在区间。
We obtain the existence of positive solutions of BVP (3.1.1) and the existence interval of positive solutions of BVP (3.1.2), by using fixed point index theorems.
定义了A-紧1-集压缩映象场的广义度，扩展了1984年张庆雍建立的半紧1-集压缩映射的不动点指数理论。
In the present paper, we define a generalized degree for A-compact 1-set contraction mapping, the result extends what Zhang Qingyong obtained in 1984.
我们应用凝聚映射的不动点指数理论，分别存两种情形下，获得了一些正解存在的结果，推广了近期这方面已有的一些结果。
By employing the fixed point index of condensing mapping, the existence results of positive solution are obtained under two cases, the conclusions extend the results recently achieved in this field.
最长与最短染色体比值变化较大，为2.78～3.20； 平均臂比、着丝点指数、核型不对称系数、相对长度变化范围较小。
The ratio of the longest chromosome to the shortest range in 2.78~3.20. And index, index of karyotypic asymmetry and relatived length changed indistinctly.
运用上下解方法，不动点指数理论，局部分歧理论，得出了该系统存在多个正解或惟一正解的条件，即参数对解的个数有一定影响。
By means of lower-upper solutions methods, theory of fixed point indices and local bifurcation theory, the conditions for multiplicity and uniqueness positive solutions of this system was obtained.
五月份的消费者物价指数下降了1.1个百分点。
道琼斯指数今天上午下跌了15点。
道琼斯股票平均价格指数当天下挫7.49点，跌幅0.1%。
标准普尔500指数上涨1.24点，涨幅0.1%，至1177.43点，纳斯达克综合指数下跌0.75点，跌幅不超过0.1%，至2468.02点。
The Standard &Poor's 500 index rose 1.24, or 0.1 percent, to 1, 177.43, while the Nasdaq composite index fell 0.75, or less than 0.1 percent, to 2, 468.02.
标准普尔500指数下跌1.11点，跌幅0.1%，至1141.60点，纳斯达克综合指数下跌4.70点，跌幅0.2%，至2351.13点。
The Standard &Poor's 500 index slid 1.11, or 0.1 percent, to 1, 141.60, while the Nasdaq composite index fell 4.70, or 0.2 percent, to 2, 351.13.
标准普尔500指数上涨0.73点，涨幅0.1%，至1194.30点，纳斯达克综合指数下跌1.18点，跌幅0.1%，至2532.34点。
The Standard &Poor's 500 index rose 0.73, or 0.1 percent, to 1, 194.30, while the Nasdaq composite index fell 1.18, or 0.1 percent, at 2, 532.34.
标准普尔500指数下跌4.42点，跌幅0.4%，至1217.11点，纳斯达克综合指数下跌8.15点，跌幅0.3%，至2571.20点。
The Standard and Poor's 500 index fell 4.42, or 0.4 percent, to 1, 217.11. The Nasdaq composite index fell 8.15, or 0.3 percent, to 2, 571.20.
标准普尔500指数上涨5.02点，涨幅0.5%，至1075.73点，纳斯达克综合指数上涨6.70点，涨幅0.3%，至2229.03点。
The Standard &Poor's 500 index rose 5.02, or 0.5 percent, to 1,075.73, while the Nasdaq composite index climbed 6.70, or 0.3 percent, to 2,229.03.
标准普尔500指数上涨1.32点，涨幅0.1%，至1166.47点，纳斯达克综合指数上涨2.35点，涨幅0.1%，至2404.26点。
The Standard & Poor's 500 index rose 1.32, or 0.1 percent, to 1,166.47, while the Nasdaq composite index rose 2.35, or 0.1 percent, to 2,404.26.
标准普尔500指数上涨1.74点，涨幅0.2%，至1123.38点，纳斯达克综合指数上涨7.32点，涨幅0.3%，至2295.79点。
The Standard & Poor's 500 index rose 1.74, or 0.2 percent, to 1,123.38, and the Nasdaq composite index rose 7.32, or 0.3 percent, to 2,295.79.
标准普尔500指数上涨1.32点，涨幅0.1%，至1166.47点，纳斯达克综合指数上涨2.35点，涨幅0.1%，至2404.26点。
The Standard &Poor's 500 index rose 1.32, or 0.1 percent, to 1, 166.47, while the Nasdaq composite index rose 2.35, or 0.1 percent, to 2, 404.26.
标准普尔500指数上涨0.88点，涨幅0.1%，至1071.13点，纳斯达克综合指数上涨4.09点，涨幅0.2%，至2179.49点。
The Standard & Poor's 500 index rose 0.88, or 0.1 percent, to 1,071.13, while the Nasdaq composite index rose 4.09, or 0.2 percent, to 2,179.49.
标准普尔500指数上涨7.32点，涨幅0.7%，至1086.70点，纳斯达克综合指数上涨15.44点，涨幅0.7%，至2197.31点。
The Standard &Poor's 500 index rose 7.32, or 0.7 percent, to 1, 086.70, while the Nasdaq composite index rose 15.44, or 0.7 percent, to 2, 197.31.
标准普尔500指数上涨7.32点，涨幅0.7%，至1086.70点，纳斯达克综合指数上涨15.44点，涨幅0.7%，至2197.31点。
The Standard &Poor's 500 index rose 7.32, or 0.7 percent, to 1, 086.70, while the Nasdaq composite index rose 15.44, or 0.7 percent, to 2, 197.31.
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