查询词典 unitarily equivalent operator

In order to find a stable approximate solution of linear compact operator equation, the article introduces general theories about ill-posed problems, it bases on spectral theory of self-adjiont compact operators and the singular value decomposition for compact operators, avails singular system to give expression of the solution, and explains ill-posedness of compact operator equation roots in the property that the singular values trends to zero. Thereout, it is provided with theoretic support of building up regularization method by inducting regularization filter to weaken or filtrate the influence that the nature of the singular value being very close to zero has on the solutions stability.

为了得到线性紧算子方程稳定的近似解，介绍了不适定问题正则化的一般理论，以自伴紧算子的谱分析与紧算子奇异值分解为理论基础，利用奇异系给出了解的表达式，说明了紧算子方程不适定性的根源在于紧算子的奇异值趋于零的性质，由此通过引入正则化滤子函数来减弱或滤掉奇异值趋于零的性质对解的稳定性的影响，构造正则算子，从而提供了建立正则化方法的理论依据。

FD.Delegate will use the equality comparison operator and will return the result of the comparison according to the implementation of the operator.

FD.Delegate将使用比较运算符平等和将返回比较的结果根据经营者的执行情况。

This is also the case if it is forced to use the equality comparison operator when the equality comparison operator is not available or not accessible for the specified function object type.

这也是如果它是被迫使用比较运算符的平等时，平等比较运算符不可用或不指定函数对象类型访问的情况。

A complete boundary integral formulation for incompressible Navier Stokes equations with time discretization by operator splitting is developed by using the fundamental solutions of the Helmhotz operator equation with different orders.

利用不同阶次的Helmhotz算子方程的基本解，建立了时间离散不可压缩Navier－Stokes方程的完全边界积分表示式。

In chapter two,we find a completely continuous operator,the original operator equation is transformed a fixed point problem.

在第一章中，我们给出本文要用到的一些预备知识和本文的主要结果。

The main tools are the iterative method of monotone operator and the cone-compression theory of completely continuous operator.

主要工具是单调算子的迭代方法和全连续算子的锥压缩理论。

Firstly,we introduce its definition,then construct two groups of operator functions by an elementary method,and extend the function f= t(t+2)log(t+2)/(t+1)~2 to linear situation,at last we discuss some results about operator monotone function under the complex order and conjugate complex order.

首先介绍了Furuta不等式的几何结构，将普通的算子序推广到更弱的算子序A~4≥(A~2B~2A~2)~2/3，讨论在此序下的函数的算子单调性，并且推广到更一般的序A~(2m)≥(A~mB~2A~m)~m/m+1，得到了一些新的研究方法与结果。

Based on the technique of transparent degree ruler, the operator of color composition is improved in the unchangeable sampling range. When the classifications of the volume data are small, this operator can obviously accelerate the rendering procedure.

对于稳定采样区间的颜色合成，提出了基于透明度标尺的颜色合成新算子，该方法对于类属较少的体数据，其绘制加速效果是十分明显的。

Secondly, a projector operator Q is defined in the Lebesgue integrable functions' space Y such that the composition of the inverse operator of L, I-Q and the nonlinear term f is compact, where I is the identity mapping in Y.

然后，在Lebesgue可积函数全体所成的空间Y上定义了投影算子Q，使得L的逆与I-Q及非线性项f的复合是紧算子，其中，I是Y上的恒同算子。

If F is a space of functions defined on a domain Ω and ψ is a function taking Ωinto itself, then the composition operator C〓 induced by ψ is defined by C〓: f〓fοψ,〓f∈F. It is obvious that C〓 is a linear operator.

设F是定义在区域Ω上的一个函数空间，φ：Ω→Ω是Ω到自身的一个映射，则可通过函数的复合定义一个线性算子C〓：f→foφ，〓f∈F，称为由φ诱导的复合算子。

There are different types of personal loans available.

有许多不同类型的个人贷款优惠。

The above mentioned teaching model of spiral rising can be used to avoid rigidness in teaching.

上述螺旋式上升的教学模式，可以避免教学形成模式後的僵化现象。