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Hence, a necessary and sufficient condition for the positivity of polynomials of arbitrary degree is presented in this paper.

由此提出了任意阶多项式为正的一个充要条件，也提出了一个实用的算法。

Hence, a necessary and sufficient condition for the positivity of polynomials of arbitrary degree is presented in this paper. A practical algorithm to express this condition in terms of the coefficients of the polynomials is also given.

由此提出了任意阶多项式为正的一个充要条件，也提出了一个实用的算法，从而可以只用此多项式的系数来表示得到的充要条件。

Under quadratic loss function, the definition of conditional admissible prediction is given and some necessary and sufficient conditions for linear predictions Ly_s of conditional linear predictable variable Qy to be admissible are obtained.

在二次损失函数下，给出了条件可容许预测的定义，在齐次线性预测类和非齐次线性预测类中得到了条件线性可预测变量Qy的线性预测Ly_s是可容许预测的充要条件。

This paper introduces the sufficient conditions of the similarity between someparticular block matrix on the division rings.

给出除环上某些特殊块阵的相似的充分条件，并具体给出了对于除环上n阶阵A和B，AB与BA的群逆都存在的充分必要条件，并推广了Cao等人"在两个矩阵乘积群逆的逆序法则"文章中一个结论。

Sufficient learning discusses, conduce to the development of this problem, also make the problem talks clearer more.

充分的学术讨论，有助于这个问题的深入，也使问题越论越清。。。。。。

After doing some more research, confab'ing with some pro shamans, and reading lots of forum posts, we decided this was probably a sufficient niche for CL and trying to push it into a purely AE role would mean a loss of fun for some shamans.

在作出更多研究，论坛的帖子以及与一些资深萨满交换意见之后，我们认为这么改动(将闪电箭单体伤害降低但作用更多目标的改动)将会使得闪电链的作用变得过于单一以至于对不少萨满来说少了不少乐趣。

Confetti and cross cutting shredders offer a level of security which is sufficient for many types of shredding.

糖果和跨领域碎纸机提供了一个级别的安全性是足够的许多类型的碎纸。

We take part in this game with sufficient confidence backed by plenty professional knowledge and hope we can enjoy it.

我们有着丰富且坚强的专业知识为后盾，并带着充足的信心参加此次比赛，并希望能在其中实现自我，充实自我。

In the preceding example, womanhood and the right royal lineage are each individually necessary conditions for princesshood and conjointly they comprise a sufficient condition for princesshood.

在这个例子中，女人身份和合法的皇家血统，各自是公主身份的必要条件，合起来就构成公主身份的充分条件。

Starting from the concept of conjugate analytic function,this paper expounds on the necessary and sufficient conditions of conjugate analytic of differentiable complex function represented in exponent form.

在共轭解析函数定义基础上，讨论指数形式表示的函数共轭解析的充要条件

Go to your desktop and right click in a blank space.

请到您的桌面，然后右击一个空白。

Tara appears in Buddhism, Jainism, and particularly, Tibetan Lamaism, as a complex array of manifestations: goddess of ascetism and mysticism, mother creator, protectress of all humans as they cross the sea of life.

度母出现在佛教，耆那教里面，尤其是西藏的喇嘛教，作为一系列的陈列阵容；神秘的女神，创世之母，人类横过生命之海洋的女性保护者。