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Let m be a finite μ-invariant measure of Q-matrix, as Q is totally stable, consists of a single absorbing state or single-instantaneous state, we prove that exists Q-processes P , in which m be a μ-invariant measure of P , and construct the Q-processes P .

第四章致力于μ不变测度的研究,设m是Q的有限μ不变测度,在Q是全稳定、单瞬时不可和准保守拟Q-矩阵,以及含有吸收态的情形,分别证明了存在Q过程P,使m是P的μ不变测度,并且都具体构造出Q过程。

Based on concept of U(1)-invariant adiabatic expansion we propose an invariant perturbation theory of quantum adiabatic process, furthermore, we obtain a new adiabatic condition.

我们提出了绝热轨道、绝热演化轨道及U(1)不变的绝热轨道和绝热演化轨道等概念,重申了绝热演化的含义。并在U(1)变换不变展开的基础上给出了绝热近似不变微扰理论新的绝热条件,并进一步得到了新的绝热条件。

In this paper, three robust estimators: robust best invariant quadratic unbiased estimator, robust minimum norm quadratic unbiased estimator and robust Helmert estimator have been designed. Finally, this paper states that these three classical estimators are particular cases of the RBIQUE.

导出了稳健最优不变二次无偏估计、稳健最小范数二次无偏估计、稳健Helmert估计,并说明了最优不变二次无偏估计、最小范数二次无偏估计以及Helmert估计等均是稳健最优不变二次无偏估计的特例。

All real simple Malcev algebra,are classified according to whether or not they have a compatible complex structure and simultaneously we give all the invariant bilinear forms by the killing form of the real simple Malcev algebra or the killing form of it s complexification .

研究实单Malcev代数上的不变双线性型,仿照李代数的情形给出实Malcev代数上的容许复结构、实Malcev代数的复化以及Malcev代数上的不变双线性型等概念,并通过对实单Malcev代数上容许复结构的讨论,将实单Malcev代数上的不变双线性型分为两种情形。

We give the reconstruction of series expansion in lattice-invariant spaces and prove that the improved A-P iterative algorithm is valid in the common shift-invariant spaces. Under adding proper conditions, the improved algorithm holds in the lattice-invariant spaces too.

我们给出了在格不变空间中的级数展开重构,并证明了在一般的平移不变空间中的改进A-P迭代算法也是可行的,说明了在适当增加条件时此改进A-P迭代算法在格不变空间中也是成立的。

In fact, his "mobility" is the result of "immobility" and "immobility" is the impetus of "mobility".

实际上,他的"变"是"不变"的结果,"不变"是"变"的动力。

Then,we discuss the question that when there is a q-process P,such thatπwhich is theμ-invariant measure orμ-subinvariant measure of a given q-pair,is theμ-invariant measure of P...

第三章分别分了三种情形,对给了保守或π-非保守q-对的μ-不变测度或μ-次不变测度π,何时存在q-过程P,使得π是P的μ-不变测度的问题进行了讨论研究。

Even weassume that such an invariant measure exists,there are still problems related to the nonex-istence of the corresponding functional integral when we apply this technique to concreteproblems,such as constructing gauge invariant operatorsout of gauge variantones.

即使我们假设这样一个不变测度存在,当我们将这一技术应用到具体问题时,比如由规范非不变的算符构造规范不变的算符,仍然存在由于相应的泛函积分不存在而带来的问题。

Many enterprises in advertising language issues often feel confused, in the 'change' and 'unchanged' on the horns of a dilemma,'no change' is very easy for the aging brand;'change' can very easily have unknown risks.

很多企业在广告语问题上常感困惑,在'变'与'不变'的问题上左右为难,'不变'很容易使品牌老化;'变'则很容易产生未知风险。

Hung-fat, director of Shanxi Province Economic and Trade Bureau, the provincial government leadership has repeatedly stressed that the requirements of the province's power plants can no longer take the main source of electricity supply pressure at the local small coal kiln, the quality of the local small coal kiln no guarantee that the supply of instability, although a certain degree of price advantage, but said变就变is not conducive to security and stability of plant production, with the coal industry in our province to implement three major strategies of small coal mines and the implementation of resource integration, requested the power enterprises to adjust the coal supply structure as soon as possible, we must allow for large coal mines to account for more than 50%.

据山西省经委主任洪发科介绍,省政府领导多次强调,要求省内的电厂再不能把电煤供应的主要来源压在地方小窑煤上,地方小窑煤质量没保证、供应不稳定,虽有一定的价格优势,但说变就变,不利于电厂的安全稳定生产,随着我省煤炭行业实施三大战略,对小煤矿实施资源整合,要求电力企业要尽快调整煤炭供应结构,一定要让大矿供的煤能够占到50%以上。

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The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

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