查询词典 necessary and sufficient conditions

Firstly, we get the necessary and sufficient conditions for Toeplitz operators that commutes with another such operator whose symbol is a monomial, meanwhile, we completely characterize when the mellin transform of the bounded function on the interval 0,1 is a rational function.

首先得到了以有界函数为符号的Toeplitz算子和以单项式函数为符号的Toeplitz算子可交换的充要条件，同时给出了0，1区间上的有界函数的Mellin变换为有理函数的充要条件。

In Chapter 3, the generalized skew-symmetric solutions of the matrix equation A~TXA = B on the linear manifold S ={X e GKSR~|||XY - Z}}= min, Y, Z∈ R~}, using the canonical correlation decomposition of a matrix pair, the necessary and sufficient conditions for the existence and the expressions for the generalized skew-symmetric solutions of matrix equation A~TXA — B on the linear manifold are established.

利用矩阵对的标准相关分解，给出了这类线性流形上矩阵方程A~TXA=B存在广义次对称解的充要条件及其通解表达式，并且导出了极小Frobenius范数广义次对称解的表达(来源：d7d7A7dBC论文网www.abclunwen.com)式。

Besides, through the study of essentially bounded functions on the unit circle, we get the necessary and sufficient conditions for the essential commutativity of k~-order slant Toeplitz operators with special symbols.

在此基础上，通过对单位圆周T上本性有界函数性质的研究，给出了以特殊函数为符号的两个k阶斜Toeplitz算子本性可交换的充要条件。

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。

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

Necessary and sufficient conditions of the robust positively invariant sets are established for the linear discrete-time system family specified by matrix convex polyhedron and additive interval disturbances.

对由矩阵凸多面体和加性区间扰动描述的线性时变离散系统族，得到了鲁棒正不变集的充分必要条件；对非线性系统族则得到有关充分条件。

In the second we give the necessary and sufficient conditions for strict convexity of power function of exponential family in the discrete case.

在第二个问题中，我们给出了在离散的情形下，指数族势函数严凸的充分必要条件。

This brief review of the method of necessary and sufficient conditions or, less cumbersomely, the essential definition approach to analysing concepts, is intended to give you some idea of what is meant by the phrase "analysing concepts."

对"必要条件和充分条件方法"的这个简短的议论，用不这么拖泥带水的说法来说，就是关于概念分析的"本质定义法"。关于"概念分析"这个短语是什么意思，这个方法意在为你提供一些了解。

Some necessary and sufficient conditions for the oscillation of solutions of delay hyperbolic differential equation s are obtained.

建立了一类时滞双曲型微分方程解的振动充要条件，揭示了这类双曲方程与相应泛函微分方程解的振动的等价性。

Considers the problem of deleting of bipartite orthogonal maximal entanglement states and deleting of quantum channel,also deriver some necessary and sufficient conditions when they can be deleted.

考虑在局域操作下，两体最大正交纠缠态和量子信道的局域删除问题，得到了它们可以实现局域删除的充要条件。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。