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In chapter 2, we first give a generalized type of the Prigons fixed point theorem and a straightforward proof of it. At the same time, we give a positive answer to an open question about convergency of iterative sequence for generalized contraction which is bring forwarded by Frigon in [3]. Secondly, by using the introduced function φ, we establish some fixed point theorems for the set-valued φ-contraction mappings in gauge spaces. These results unify and generalize the corresponding results of Cain and Nashed [1], Figon [3], Espinola and Kirk[4], Tarafder [5] et al.

第二章，首先给出Frigon不动点定理[3]的推广及其简洁证明，同时对Frigon在文[3]中提出的关于广义压缩迭代序列收敛性的公开问题给出肯定的回答；然后，通过引入φ函数，在度规空间上建立集值φ-压缩映射的不动点定理，统一并推广了Cain和Nashed[1]，Figon[3]，Espinola和Kirk[4]，Tarafder[5]等的相应结果。

For those looking for a completely biodegradable and compostable option, BioWare pint and half-pint PLA 'to-line' tumblers are the answer!

对于那些完全生物降解和可堆肥的选择，BioWare公司品脱和半品脱本报寻找到线'口中的答案！

For if a question is absurd in itself and calls for an answer where none is required, it not only brings shame on the propounder of the question, but may betray an incautious listener into absurd answers, thus presenting, as the ancients said, the B83 ludicrous spectacle of one man milking a he-goat and the other holding a sieve underneath.

因为如果一个问题本身是悖理的，而要求的答案又是无所谓的，这样的问题就不但是提问者的耻辱，而且可以使不注意听话的人陷入悖理的解答里去；从而呈现出一种可笑的光景，像古人所说的那样，一个人在挤公羊的乳，另一个人拿着筛子去接。

Paul Erds once posed the following problem about real line R: is it true that, for every infinite set X, there is a closed set E with positive lebesgue measure such that E doesn't contain any subset similar to X (I.e., there is no subset of E, which is a linear homeomorphic image of X). In 1984, K. J. Falconer proved the following: for a decreasing sequence of positive numbers {xn} such that \%lim\%xn=0 and \%lim\%(xn+1)/=1, Erds problem has a partial positive answer.

叶盛 Paul Erds曾提出如下关于实直线R的问题：是否对R的每一个无限子集X，都存在一个具有正测度的闭子集E，使得E的任何子集都不相似于X(E的任何子集都不与X线性同胚)。1984年，Falconer证明了如下结论：对于一个满足limxn=0和lim(xn+1)/=1的单调递减的正实数列{x n}，Erds问题有一个部分肯定的解答。

" Asked the soldier, shaking his shirt out before the fire, and without waiting for an answer, he added huskily:"Ah, what a lot of fellows done for to-day―awful!

"他问道，一面在炭火上面抖着自己的衬衫，没有等他回答，就咯咯地叫了一声，接着补充说："一天之内遭受损害的人还少吗？

Answer: The sins forbidden in the first commandment are, atheism, in denying or not having a God; idolatry, in having or worshiping more gods than one, or any with or instead of the true God; the not having and avouching him for God, and our God; the omission or neglect of anything due to him, required in this commandment; ignorance, forgetfulness, misapprehensions, false opinions, unworthy and wicked thoughts of him; bold and curious searching into his secrets; all profaneness, hatred of God; self-love, self-seeking, and all other inordinate and immoderate setting of our mind, will, or affections upon other things, and taking them off from him in whole or in part; vain credulity, unbelief, heresy, misbelief, distrust, despair, incorrigibleness, and insensibleness under judgments, hardness of heart, pride, presumption, carnal security, tempting of God; using unlawful means, and trusting in lawful means; carnal delights and joys; corrupt, blind, and indiscreet zeal; lukewarmness, and deadness in the things of God; estranging ourselves, and apostatizing from God; praying, or giving any religious worship, to saints, angels, or any other creatures; all compacts and consulting with the devil, and hearkening to his suggestions; making men the lords of our faith and conscience; slighting and despising God and his commands; resisting and grieving of his Spirit, discontent and impatience at his dispensations, charging him foolishly for the evils he inflicts on us; and ascribing the praise of any good we either are, have, or can do, to fortune, idols, ourselves, or any other creature.

以及其他所有放荡无节地把我们的心思、意志、情感置于其他事物上，全部或部分偏离祂的事情，例如轻信、不信、异端、误信、怀疑、失望、固执，面对审判仍然麻木不仁，心里刚硬，骄傲，任意妄为，自以为平安无事，试探神；运用不法手段，倚靠不法手段；爱宴乐；虽有热心，却败坏、盲目，没有分辨力；不冷不热，在神的事上是死的；疏离自我，背叛神；向圣徒、天使或其他任何受造物祷告，崇拜他们；与魔鬼结盟，交鬼求问，听其建议；使人成为我们信仰与良知的主；怠慢、藐视神及其诫命；抵挡、消灭圣灵的感动；不满、厌烦神的安排，指责祂行事愚昧，把各样恶事加诸我们身上；把我们所拥有、所得来、所能做的任何好事都归之于幸运、偶像、自己或其他任何受造之物。

That bodies should be lent us, while they can afford us pleasure, assist us in acquiring knowledge, or doing good to our fellow creatures, is a kind and benevolent act of God -- when they become unfit for these purposes and afford us pain rather than pleasure -- instead of an aid, become an incumbrance （=encumbrance）妨碍、阻碍、阻碍物、累赘 and answer none of the intentions for which they were given, it is equally kind and benevolent that a way is provided by which we may get rid of them.

上天赐给我们躯壳，让我们享受生活的乐趣，帮助我们求得知识，让我们为人类造福，这都是上帝对我们的大恩大德。当我们的躯体无法达到这些目的，不能给我们快乐，反而给我们痛苦，非但无法帮助我们，反而成为了我们的累赘时，当它们完成不了上帝当初交托给它们的那些使命时，上天准备了一个办法，让我们摆脱它们；这同样也是上帝的恩德。

Whenever an address and telephone number for the same person are requested in more than one interrogatory, you are required to furnish them in answer ing only the first interrogatory asking for that information.

在超过一份的书面询问中要求提供同一个人的地址及电话号码时，答问方仅需在回答询问该信息的第一份书面询问提供有关信息。

England produced several that won lasting honour for their scholarly defence of fundamental Christian truths -- Lardner, author of the "Credibility of the Gospel History", in twelve volumes (1741-55); Butler, likewise famous for his "Analogy of Religion Natural and Revealed to the Constitution of Nature"(1736); Campbell, who in his "Dissertation on Miracles"(1766) gave a masterly answer to Hume's arguments against miracles; and Paley, whose "Evidences of Christianity"(1794) and "Natural Theology"(1802) are among the classics of English theological literature.

英格兰若干赢得持久的荣誉，其学术辩护的根本基督教真理-l ardner，作者的"可信性的福音史"，在1 2卷（ 1 741年至1 755年）；巴特勒，同样闻名他的"的比喻宗教自然并透露，以宪法的性质"（ 1736 ）；坎贝尔，他在其"论文的奇迹"（ 1766 ）进行了巧妙的回答休谟的论据反对奇迹；的Paley ，"证据的基督教信仰"（ 1794 ）和"自然神学"（ 1802 ）是其中经典的英语神学文献。

And we established a new material which included some sortable indexes to each base logogriph, such as difficulty, accuracy and reaction time. Each pair of riddles included one base logogriph and a target logogriph. A new experimental paradigm was also adopted: a two-stage model for learning-testing, so as to research the time course of successful insight problem solving. Firstly, subjects learned a logogriph (a base logogriph with the answer offered)—learning stage, and then they were asked to solve a homotypical logogriph (a target logogriph, and the base logogriph learned beforehand would provide heuristic information for solving the target logogriph)—testing stage.

在原型激活理论的指导下，本研究通过实验1与实验2初步建立了用于顿悟认知与脑机制研究的字谜材料库，弥补了以往顿悟脑机制研究材料方面的欠缺，主要表现为：首先在材料类型上保证了同质性，都是选用的中国传统文化中的字谜；其次，有足够多的数量，能够满足脑成像研究的多次重复测量和叠加的要求；再次，材料是一一配对的，即每对字谜都由源字谜和靶字谜共同组成，便于研究原型启发效应；最后，提供了多数字谜材料的相关信息，每一个字谜都有正确率、反应时、启发量、巧妙性、难度等分类指标。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。