查询词典 degree of a polynomial

Bamboo variation ofmicrodensity of all age-degree and all height bamboo from bamboo green tobamboo yellow as follows:The downtrend ladder of microdensity the firststage from bamboo green to bamboo yellow is relatively large,normally at theplace 0.35 from bamboo hull(the thickness of from bamboo hull to bambooyellow is 1)micro-density downtrend ladder begin to get smaller,variancerange of microdensity is smaller.When reaching near bamboo yellow area,microdensity reaches its minimum value,and when reaching bamboo yellowsection density increase rapidly,the minimum density of bamboo is only 50% orless of maximum density.Bamboo yellow is comprised of stone cells whichhave thick cell wall,so its density is high,normally 50% to 100% more thanminimum density.Bamboo yellow′s lay thickness is thin,normally the samethickness for all age-degree and all height bamboo,about 0.8mm.From 1 age-degree bamboo to 2 age-degree bamboo during growth,the increase of averagedensity is mainly in bamboo pulp section,from 3 age-degree bamboo to 4 age-degree bamboo,the decrease of average density is mainly decrease in the pulpsection.Same age,same height,the less the density ladder of bamboo radialthickness,the higher the mechanical strength.

所有年龄所有高度的竹材微密度从竹青到竹黄对材性变异规律如下：从竹青到竹黄开始下降梯度较大，一般到相对竹皮距离0.35左右处(整个竹壁厚度为1)，竹材微密度下降梯度减小，微密度的变化范围变小，到近竹黄处，微密度达最小值，而后到竹黄部位密度大幅上升，竹材最小密度一般只有最大密度的50％或更低，竹黄由厚壁的石细胞组成，所以密度较大，一般比最小密度增大约50％-100％，厚度较薄，不同年龄不同高度竹材的竹黄厚度相差无几，约在0.8mm左右；竹材从1度竹到2度竹生长过程中，平均密度的增长主要发生在竹肉部分，从3度竹到4度竹生长过程中，平均密度的下降主要发生在竹肉部分，同一年龄同一高度，竹壁厚径向的密度梯度越小，力学强度越高，随着年龄的增大，密度梯度越来越小(1度竹除外)，随着高度增加，密度梯度越来越大。

Once was applicable to a small tooth, ex- tooth tooth cleft(the ≤ 2 mms), the whole the tooth light degree arrives to weigh a degree a fluorine spot tooth, whole light degree and mid-degree four wreaths plain toothses, whole tooth heavy degree four wreaths plain tooths match with bleach to also attain better effect, the tooth changes countenance separately, the tooth light degree arranges not and together and needs to change shape separately, and the external injury tooth breaks.

适用於过小牙齿，前牙牙齿间隙（≤2mm ），全口牙齿轻度到重度氟斑牙，全口轻度、中度四环素牙，全口牙齿重度四环素牙配合漂白也可以达到较好的效果，个别牙齿变色，个别牙齿轻度排列不齐，需要改变形状，外伤牙齿折断。

Based on the examples analyzed,this paper mainly discusses the impacts of the polynomial degree,fit time span and interval of the fitting points when using chebyshev polynomial to fit the satellite orbit,the situation using more orbital elements and the area and choosing of the orbital elements are also discussed at last.

以实例分析为基础，主要讨论了利用切比雪夫多项式拟合GPS卫星轨道时多项式阶数、时段长度、拟合点间隔等因素的设置问题；并对使用多组轨道参数进行轨道拟合的情况进行了分析；最后讨论了轨道参数的使用范围和选择问题；得出了有用的结论。

By using the Euclidean algorithm and invertible linear transformation over a polynomial ring, the solutions of polynomial indeterminate equations of first degree was investigated in theory, and its matrix solution based on the elementary matrix transformation was proposed.

利用欧几里德算法和多项式环上的可逆线性变换，从理论上对多项式环上的一次不定方程组的解进行深入的研究，给出了用矩阵的初等变换求解多项式环上的一次不定方程组的矩阵解法，并利用MATLAB数学软件开发了相应的计算机程序。

Also the constructed curve is a shape-preserving curve for the original curve. We can also adjust the shape of curves by parameters of trigonometric uniform polynomial curve to approach the polygon closer. The general trigonometric polynomial curves with m degree and C(superscript 2m-1)(m=1, 2, 3) continuity are further presented.

除了通过切点参数，还可以通过三角均匀多项式曲线参数来调整曲线形状，使所得曲线更加逼近多边形，并可进一步、类似地可构造与给定多边形相切的C(上标 2m-1)(m=1， 2， 3)连续的m次三角多项式曲线。

By using the techniques of an explicit criterion to determine the number of real roots of a univariate polynomial in ( [13] , [73] ); B-net form of bivariate splines function; discriminant sequence of polynomial (cf. [13] , [73] ) and the number of sign changes in the sequence of coefficients of the highest degree terms of sturm sequence, this paper determines the number of real intersection points two piecewise algebraic curves whose common points are finite.

3：利用杨路，张景中，侯晓荣在文献（[13]，[73]）中关于一元多项式实根的显式判准，以及二元样条函数的B-网形式，多项式的判别序列和Sturm序列的最高次数项系数序列的变号数，本文给出了两个分片代数曲线的实交点数的计算公式。

Firstly, the function sinx that appears in the simple pendulum equation is replaced with a polynomial of degree 3 using Maclaurin series expansion and Chebyshev polynomial approximation. Subsequently, the resulting equation which is a Duffing type equation is approximately solved with combing Newton's method and the harmonic balance method.

首先，利用Maclaurin展开和Chebyshev多项式加速技术将单摆振动方程中的正弦型恢复力用三次多项式近似代替，得到一个Duffing型方程；然后，将牛顿法与谐波平衡法结合起来建立Duffing方程的解析逼近周期及周期解，从而给出单摆振动的解析逼近解。

Finally, we present an efficient algorithm for computing the minimal polynomial of a polynomial matrix. It determines the coefficient polynomials term by term from lower to higher degree.

最后，我们给出了一种计算多项式矩阵最小多项式或特征多项式的有效算法，它从低次项到高次项逐项确定最小多项式的系数多项式。

Sign pattern A is a SAP if every monic real polynomial of degree n can be achieved as the characteristic polynomial of a matrix with sign pattern A.

若给定任意一个n次首一实系数多项式f，都存在一个实矩阵B∈Q，使得B的特征多项式为f，则称A为谱任意符号模式。

An n×n sign pattern A is a spectrally arbitrary pattern if for any given real monic polynomial f of degree n, there is a real matrix B∈Q and B has characteristic polynomial f.

设A为n阶符号模式矩阵，若对任意给定的一个n次首1实系数多项式f，都存在一个实矩阵B∈Q，使得B的特征多项式为f，则称A为谱任意符号模式。

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。