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If a formula gives an unintended output for a particular combination of inputs, then additional error trapping can be factored into the composed formula.

如果一个公式给出了意想不到的产量为某投入组合，然后附加误差俘获，可以考虑的因素组成的公式。

Emerged as a novel functional food additive, lycopene has been of particular interest in recent years.

LP属于类胡萝卜素的一种，是目前自然界中发现的功能最强的抗氧化剂之一，主要存在于番茄及其制品、西瓜、葡萄柚、木瓜、石榴、秋橄榄等植物性食物中，同时也广泛分布于人体的各种器官和组织。

052 Describes and claims a body of polycrystalline dielectric ceramic material having a lead zirconate--lead titanate--lead stannate composition falling within the area A B C E F of the triaxial diagram 1d of the drawings accompanying this specification and containing at least one substitutional additive ingredient selected from the group consisting of elements having respective ionic radii sufficiently close to the ionic radius of one of the elements lead, tin, titanium, zirconium and oxygen to permit of substitution, and a valence state differing from that of said one element by less than three units, the aggregate quantity of additive ingredient amounting to from 0.1 to 5 percent of the replaced ion on an atom basis, each additive ingredient present in said material being in ionic form and substituting for a finite percentage of the ions of a particular one of the elements lead, tin, titanium, zirconium and oxygen with respect to which it conforms with regard to ionic radius and valence state, said additive ingredient replacing a quantity of said elements having in the aggregate an equal number of valence units.

参考译文：第 1012052 号专利说明书介绍一种含有锆酸铅，钛酸铅，锡酸铅的多晶陶瓷介质材料，其组成在说明书附图 ld 三元相图中处于 A B C E F 区域内，该组成至少还含有一种置换添加物，这种添加物从一组离子半径分别接近于铅，锡，钛，锆，氧的元素中选出，以利于互相置换，而与上述一种元素化合价之差应小于三价。该添加物的总量为被置换离子的 0.1%~5%克原子。上述材料中的每种添加物是以离子形式存在的，它以一定的百分数置换铅，锡，钛，锆，氧中的某一元素的离子。添加物在离子半径和价数上必须类似于上述任一元素，并且置换添加物的量与被置换的元素在总体上具有相等的化合价数。本句由两个简单句构成，一个主句，另一个是定语从句。

We explain the basic conception of the Lie group, Lie algebra and Riemannian manifolds in detail, deeply analyze and research the Special Euclidean Group SE(3) and se(3) in the Lie group, Lie algebra. Establish the relation between the adjoint transformation Adg and the operatorφ(k + 1,k) under a particular condition , substitute the operatorφ(k + 1,k)with spatial adjoint operator Ad kk ?

在多体系统动力学理论体系中，详细阐述了Lie群、Lie代数和Riemannian几何的基本概念，对Lie群、Lie代数中的特殊Euclidean群SE(3)和se(3)作深入分析与研究，建立Lie括号下的伴随变换Adg在特定条件下与空间算子代数理论中的空间变换算子φ(k + 1，k)之间的相互关系，并将空间伴随算子Ad kk ？

The notion of the adjoint operator of amodule homomorph ism defined on a densely submodule of a comp lete random inner p roduct module is introduced and discussed, in particular the closedness of adjoint operators is p roved.

摘 要 对定义在完备随机内积模的稠子模上的模同态引入了共轭算子的概念并讨论其基本性质，尤其证明了共轭算子的闭性。

Specify what status the spatial operator algebra locates at in many methods of multibody systems dynamics formulations and what the relations are between the spatial operator algebra and other dynamics formulations.We explain the basic conception of the Lie group, Lie algebra and Riemannian manifolds in detail, deeply analyze and research the Special Euclidean Group SE(3) and se(3) in the Lie group, Lie algebra. Establish the relation between the adjoint transformation Adg and the operatorφ(k + 1,k) under a particular condition, substitute the operatorφ(k + 1,k)with spatial adjoint operator Ad kk ?

在多体系统动力学理论体系中，详细阐述了Lie群、Lie代数和Riemannian几何的基本概念，对Lie群、Lie代数中的特殊Euclidean群SE(3)和se(3)作深入分析与研究，建立Lie括号下的伴随变换Adg在特定条件下与空间算子代数理论中的空间变换算子φ(k + 1，k)之间的相互关系，并将空间伴随算子Ad kk ？

Conflicts of Interest arise in particular when the personal interests of an adjudicator influence that adjudicator's judgement or ability to act in the best interest of the IDSF, which is the same as the best interest of the competitors.

利益冲突的产生尤其是当裁判个人的喜好判决影响了IDSF行使最佳其判决的能力时。

An adjunction to traditional marketing,it supports and enhances the overall marketing message by providing comprehensive information that answers consumers questions about a particular product or device.

作为传统营销的辅助，它通过提供回答客户关于特定产品或服务问题的综合信息，以支持和提高全面的营销信息处理。

Because the quality of testing in a particular case goes to the weight of the evidence and not its admissibility.

因为特定案件中鉴定质量影响的是证据的重要性而不是它的可采性。

He expresses, the threshold of this admittance won't be very high, but need has particular actual strength and force.

他表示，这个准入的门槛不会很高，但需要有一定的实力和影响力。

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

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。