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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。

There exists a nontrivial invariant subspace of $T$.

文章的结果和证明都是对的。

And through "games," the playground seeks out the combined impulse of adventure, stimulation and amusement, as if a hallucination of an outer-space suspension of gravity, regardless of differences in age or gender, inventively serving as a symbolic expression of the state of uncertainty that exists regarding the goal of game-playing.

藉此，数位科技中所存有的时间及空间，分解了真实世界的想像，和游乐场透过「游戏」来寻找冒险、刺激、游乐的动机连结，就像在无重力的太空之中进行一场身体经验的幻觉，无关乎年龄与性别的异同，巧妙地表现出游戏目的中不确定性的状态特徵。

The point is be to as inclusive as possible, taking a full inventory of what could go wrong at each step of the process as it actually exists.

要点是尽可能包容一切，列出每一步骤全部可能做错的地方，就当实际这种错误存在一样。

Both of the ESD were proportional to kVp 2.2 to kVp 2.5 and were linear proportion to mAs. Inverse square law exists in the relationship of focus-film distance, FFD, and ESD. The impacts of field size and patient thickness to ESD are negligible. Optimized operating condition is chosen to improve the diagnosis rate and to reduce the patient dose. The ESD, 0.12±0.06 mGy, performing the optimized operating condition of chest x-ray examinations, is less than both values of reference doses recommended by NRPB and IAEA.

研究结果发现，入射表面剂量随操作条件而变，以相同的条件照射，三相位X光机所造成表面剂量大约是单相位X光机的1.9倍；入射表面剂量与kVp的2.2至2.5次方成比例，与mAs约成线性正比，与焦斑至底片距离的关系大约符合平方反比定律；照野面积及身体厚度虽会影响表面剂量的大小，但其程度远低於kVp及mAs的影响。

Its organization--the cat's--exists inviolately, but as a part of the greater psychic organization from which it came.

它的组织——猫的——不受侵犯地存在着，但是作为其所来自的的更大的心灵组织的一部分。

Insistence that others, particularly the US, should be properly respectful of China's new status co-exists with a nervous inwardness.

中国人一方面坚称，其它国家应对中国的新地位给予应有的尊重，而同时内心却又焦虑不安。

There exists an ancient order originating in the Ionian Isles dedicated to the preservation of balance.

有一个源自艾昂尼亚群岛的组织，从很久很久之前就致力于平衡的维系工作。

For a Hall π-subgroup in π-separable group and a given π-Fong character, we show that there always exists a normal subgroup, such that some irreducible constituent of this π-Fong character which restricts on the join of these two subgroups is a π-Fong character associated to this normal subgroup.

对于π-可分群的一个Hall π-子群和一个给定的π-Fong特征标，我们证明了总存在一个正规子群使得这个π-Fong特征标在这两个子群的交上的限制的某个不可约成分是联系这个正规子群的一个π-Fong特征标。

Zhan has determined the maximum and minimum numbers of positive entries of imprimitive irreducible nonnegative matrices with a given imprimitivity index. In this paper, we prove that if a positive integer is between the maximum and minimum numbers, then there exists an irreducible nonnegative matrix A with the given imprimitivity index and with the given number of positive entries.

非负矩阵是矩阵论中研究比较活跃的领域，不可约非负矩阵是比较重要的非负矩阵，本文分两部分，一部分主要在詹兴致教授的研究基础上研究了给定非本原性指标的不可约非负矩阵中非零元个数的连续性，肯定地回答了詹兴致提出的一个自然的问题。

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％。