二重根

For example, one of our conclusions is that a nonsingular QSIC has one affinely finite component if and only if the characteristic equation of the two quadrics has two distinct real roots and a pair of complex conjugate roots.

由于两二次曲面的特征方程实根个数及其重数可用精确的计算方法得到，本文分类结果可用于实现对任意两二次曲面的非平面交线拓扑形态的判断。

The number a is called a double root of the polynomial function f.

数a称为多项式丞数f的二重根。

Lagrange interpolation focus on the application of the formula .The comparison between the method of Transform and that of Lagrange's interpolation formula in square matrix form is made. Also the form of Lagrange's interpolation formula is generalized to include the double root case.The application of the generalized lagrange's interpolation formula in square matrix to solving state equations is found to be effective.

重点介绍了Lagrange插值公式在状态方程求解中的应用，用对角矩阵及相似矩阵的性质证明了，当状态转移矩阵中方阵的特征根相异时，拉格朗日插值公式与Laplace变换法对表达具有一致性，并用极限方法对方阵含二重根时拉格朗日插值公式的应用进行了推导。

Efficient usage of the main storage material in megagametophyte before it falls off from seedling is important for seed germination of Pinus edulis Engelm.. We examined and compared lipid usage in both megagametophyte and cotyledon with electromicroscopic technique, the length, dry weight, starch content and FBPase activities of each part of the seedling were measured and compared.

采用电镜技术观察了黑暗中萌发中食松子叶和提供营养的雌配子体中脂肪体和与脂肪利用有关的乙醛酸循环体的变化，测量比较了子叶、下胚轴、根的长度、干重、淀粉含量，以及果糖1，6二磷酸酶的活性变化，对贮藏物质脂类、淀粉的利用及与生长的关系进行了分析。

In particular, as the multiple number of the root is even, the problem has two solutions.

特别地，当这种根的重数为偶数时，问题具有二重解。

In this paper, complete eigen-values salution method, characteristics of multiple roots and eigen-functions calculation are described.

重点介绍了在求解二维切口问题完备特征根方面的一些进展，包括特征根的求解方法、特征根的重根探讨以及相应的特征函数计算，这一问题基本上得到了解决。

The Trojans led by him and by Iamenus, Orestes, Adamas the son of Asius, Thoon and Oenomaus, raised a loud cry of battle and made straight for the wall, holding their shields of dry ox-hide above their heads; for a while the two defenders remained inside and cheered the Achaeans on to stand firm in the defence of their ships; when, however, they saw that the Trojans were attacking the wall, while the Danaans were crying out for help and being routed, they rushed outside and fought in front of the gates like two wild boars upon the mountains that abide the attack of men and dogs, and charging on either side break down the wood all round them tearing it up by the roots, and one can hear the clattering of their tusks, till some one hits them and makes an end of them- even so did the gleaming bronze rattle about their breasts, as the weapons fell upon them; for they fought with great fury, trusting to their own prowess and to those who were on the wall above them.

就像这样，二位凭待自己的勇力和强健的臂膀，站候着高大的、正向他们迎面扑来的阿西俄斯，毫不退让。特洛伊人直冲而上，对着修筑坚固的护墙，高举着生牛皮做就的战盾，裂开嗓门呼喊，围拥在首领阿西俄斯身边，围拥在亚墨诺斯、俄瑞斯忒斯和阿西俄斯之子阿达马斯，以及俄伊诺毛斯和索昂的身旁。其时，墙内的拉丕赛人正极力催促胫甲坚固的阿开亚人保卫海船，但是，当他们看到特洛伊人正冲向护墙，而达奈人则惊叫着溃跑时，二位冲将出去，拼杀在门前，像两头野猪，在山上站等一群步步进逼的对手，骚嚷的狗和猎人，横冲直撞，连根掀倒一棵棵大树，撕甩出一块块碎片，使劲磨咬着牙齿，发出吱吱嘎嘎的声响，直到被人投枪击中，夺走它们的生命――就像这样，挡护他们胸肩的捏亮的铜甲承受着枪械的重击，发出铿锵的震响。

In the horizontal direction,most of effective root for Black Locustdistributed in 30cm～90cm from stem basal,but it for Arborvitae distributed in 0～30cm.

其中，刺槐有效根长占总有效根长的51.58％，侧柏占58.38％；刺槐有效根干重占总有效根于重的63.01％，侧柏占71.09％；在水平方向上，刺槐有效根系密度呈二次抛物线型分布；侧柏则随距主干距离的增大而减小。

From the research of the kerogen carbon isotopes of the coal-measure strata in some basins of China (the Carbo-Permian in the Ordos basin, the Triassic in the Sichuan basin, the Jurassic in the Jungar basin and Turpan-Hami basin, the Tertiary in the Yingqong basin) it can be indicated that the Type Ⅲ kerogen has a wide δ〓C range from -21. 2‰ to -27. 6‰, averaging -25‰, which is more enriched in 〓C than sapropel and mixed kerogens.

对我国一些含煤盆地（陕甘宁石碳－二叠、四川三叠系、准噶尔侏罗系、吐哈侏罗系、莺琼盆地第三系）的煤系地层干酪根碳同位素研究表明，煤系地层的干酪根碳同位素组成δ〓C值分布范围为－21.2～－27.6‰，说明其变化范围较宽，平均值为－25‰左右，相对腐泥型干酪根和混合型干酪根较明显地富重碳同位素。

By mean of congruence transformation, when root of a polynomial has zero-root or double-root, a method for diagonalization of some Bezout matrics is given in this paper.

主要通过合同关系，对Bezout矩阵中当多项式存在零根和存在二重根时的对角化问题进行分析，得到一些有意义的结论。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。