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We show that under appropriate conditions,the SCAD-penalized least squares estimator is consistent for variable selection and that the estimators of nonzero coefficients have the same asymptotic distribution as they would have if the zero coefficients were known in advance.

在一定的条件下，我们证明了SCAD惩罚最小二乘估计的变量选择具有相合性，并且得到非零系数的估计与零系数已知情况下的估计具有相同的渐近分布。

We prove that in every nonzero coset, there is a unique element with minimal Euclidean weight among the group of elements with minimal Mahattan weight.

证明了在每个非零陪集中，具有极小Hexagonal重量的元素集合里，具有极小欧氏重量的元是唯一的。

The nonzero cross correlation coefficient between codes will arouse the interference between the users, which is called multiple access interference.

多址干扰的存在不仅会严重限制系统的容量，而且强的多址信号还会淹没弱的用户信号。

The methods of the first-and second-order cyclic statistics-based hybrid and the first-and third-order cyclic statistics-based hybrid have been proposed. Using the first order cyclic statistics, the frequencies of harmonics corresponding to nonzero mean multiplicative noise were obtained. Then the mean of multiplicative noise can be estimated. With this, harmonics can be retrieved by second or third order cyclic statistics.

提出了基于一阶、二阶循环统计量的混合方法和基于一阶、三阶循环统计量的混合方法，即先利用一阶循环统计量得到对应非零均值乘性噪声的谐波频率，再求出与谐波频率对应的乘性噪声均值，去均值后用二阶或三阶循环统计量来恢复谐波。

A determinant whose only nonzero elements occur in square blocks centered about the principal diagonal is in block- diagonal form.

仅有的非零元素集中于主对角线的方块中的行列式是分块对角形式的。

In this paper, we study the finite iterated order of growth and the iterated convergence exponent of the zero sequence of nonzero meromorphic solutions of second order homogeneous linear differential equation , and obtain some precision evaluation.

摘要研究了二阶齐次线性微分方程非零亚纯解的迭代级与零点迭代收敛指数，得到了它们的精确估计。

In the two-dimensional simulation, the fully implicit difference scheme is used for the continuity equations to ensure numerical stability; Jacobian iteration is used to solve the difference equations, and only nonzero elements in the coefficient matrixes of these equations are dealt with, which reduce the requirement for memory and shorten the calculation time.

在两维模拟计算中，对连续性方程采用全隐式差分方案以保证数值稳定性；运用雅可比迭代法求解差分方程组，并且在求解过程中，只对差分方程组系数矩阵中的非零元素进行处理，因此减少了对内存的需求量，而且缩短了计算时间。

On the basis of the solution identification theorem in linear equations,a method is presented to ascertain whether there exists all-nonzero solutions to an inhomogeneous linear equation.

在线性方程组有解判别定理的基础上，给出了一个判定非齐次线性方程组存在全非零解的方法。

Second, we discuss the problem of four class equation Dx~2 +1 = y~p (p≥5 and p is a prime ,D = 31,47, 71, 79) without nonzero integer solution.

二。讨论了四类方程Dx~2+1=y~p(p≥5且p为素数，D=31，47，71，79)非零整数解的问题，得出 1。

Even though this field is 0 in the system fonts I've seen lately, it should be included if it's ever nonzero because it makes for more readable line spacing.

即使该域在我们最近看到的系统字体中是 0，即使它是非零值也应该被包括，因为这使行间隔更易读。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。