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Chapter 8 The Present Crisis of Mathematical Physics
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Chapter 8
The Present Crisis of Mathematical Physics
The New Crisis.— Are we now about to enter upon a third period? Are we on the eve of a second crisis? These principles on which we have built all, are they about to crumble1 away in their turn? This has been for some time a pertinent2 question.
When I speak thus, you no doubt think of radium, that grand revolutionist of the present time, and in fact I shall come back to it presently; but there is something else. It is not alone the conservation of energy which is in question; all the other principles are equally in danger, as we shall see in passing them successively in review.
Carnot’s Principle.— Let us commence with the principle of Carnot. This is the only one which does not present itself as an immediate3 consequence of the hypothesis of central forces; more than that, it seems, if not to directly contradict that hypothesis, at least not to be reconciled with it without a certain effort. If physical phenomena4 were due exclusively to the movements of atoms whose mutual5 attraction depended only on the distance, it seems that all these phenomena should be reversible; if all the initial velocities6 were reversed, these atoms, always subjected to the same forces, ought to go over their trajectories7 in the contrary sense, just as the earth would describe in the retrograde sense this same elliptic orbit which it describes in the direct sense, if the initial conditions of its motion had been reversed. On this account, if a physical phenomenon is possible, the inverse8 phenomenon should be equally so, and one should be able to reascend the course of time. Now, it is not so in nature, and this is precisely
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1
crumble
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| vi.碎裂,崩溃;vt.弄碎,摧毁 | |
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pertinent
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| adj.恰当的;贴切的;中肯的;有关的;相干的 | |
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immediate
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| adj.立即的;直接的,最接近的;紧靠的 | |
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phenomena
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| n.现象 | |
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mutual
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| adj.相互的,彼此的;共同的,共有的 | |
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velocities
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| n.速度( velocity的名词复数 );高速,快速 | |
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trajectories
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| n.弹道( trajectory的名词复数 );轨道;轨线;常角轨道 | |
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inverse
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| adj.相反的,倒转的,反转的;n.相反之物;v.倒转 | |
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precisely
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| adv.恰好,正好,精确地,细致地 | |
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afterward
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| adv.后来;以后 | |
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effaced
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| v.擦掉( efface的过去式和过去分词 );抹去;超越;使黯然失色 | |
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friction
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| n.摩擦,摩擦力 | |
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transformation
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| n.变化;改造;转变 | |
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partially
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| adv.部分地,从某些方面讲 | |
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random
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| adj.随机的;任意的;n.偶然的(或随便的)行动 | |
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originality
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| n.创造力,独创性;新颖 | |
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backwards
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| adv.往回地,向原处,倒,相反,前后倒置地 | |
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rosy
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| adj.美好的,乐观的,玫瑰色的 | |
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tint
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| n.淡色,浅色;染发剂;vt.着以淡淡的颜色 | |
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barley
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| n.大麦,大麦粒 | |
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statistical
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| adj.统计的,统计学的 | |
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concession
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| n.让步,妥协;特许(权) | |
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demon
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| n.魔鬼,恶魔 | |
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molecule
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| n.分子,克分子 | |
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molecules
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| 分子( molecule的名词复数 ) | |
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constrain
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| vt.限制,约束;克制,抑制 | |
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infinitely
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| adv.无限地,无穷地 | |
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disquieting
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| adj.令人不安的,令人不平静的v.使不安,使忧虑,使烦恼( disquiet的现在分词 ) | |
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ardor
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| n.热情,狂热 | |
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physicists
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| 物理学家( physicist的名词复数 ) | |
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illuminate
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| vt.照亮,照明;用灯光装饰;说明,阐释 | |
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microscopic
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| adj.微小的,细微的,极小的,显微的 | |
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renounce
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| v.放弃;拒绝承认,宣布与…断绝关系 | |
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inversely
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| adj.相反的 | |
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budge
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| v.移动一点儿;改变立场 | |
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compensate
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| vt.补偿,赔偿;酬报 vi.弥补;补偿;抵消 | |
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incessantly
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| ad.不停地 | |
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behold
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| v.看,注视,看到 | |
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peril
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| n.(严重的)危险;危险的事物 | |
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irresistibly
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| adv.无法抵抗地,不能自持地;极为诱惑人地 | |
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assailed
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| v.攻击( assail的过去式和过去分词 );困扰;质问;毅然应对 | |
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electrified
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| v.使电气化( electrify的过去式和过去分词 );使兴奋 | |
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velocity
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| n.速度,速率 | |
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fixed
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| adj.固定的,不变的,准备好的;(计算机)固定的 | |
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interpretation
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| n.解释,说明,描述;艺术处理 | |
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varied
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| adj.多样的,多变化的 | |
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obstinacy
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| n.顽固;(病痛等)难治 | |
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mathematicians
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| 数学家( mathematician的名词复数 ) | |
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ingenuity
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| n.别出心裁;善于发明创造 | |
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Augmented
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| adj.增音的 动词augment的过去式和过去分词形式 | |
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emanating
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| v.从…处传出,传出( emanate的现在分词 );产生,表现,显示 | |
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contraction
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| n.缩略词,缩写式,害病 | |
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compensated
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| 补偿,报酬( compensate的过去式和过去分词 ); 给(某人)赔偿(或赔款) | |
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elasticity
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| n.弹性,伸缩力 | |
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animated
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| adj.生气勃勃的,活跃的,愉快的 | |
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components
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| (机器、设备等的)构成要素,零件,成分; 成分( component的名词复数 ); [物理化学]组分; [数学]分量; (混合物的)组成部分 | |
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perpendicular
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| adj.垂直的,直立的;n.垂直线,垂直的位置 | |
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repel
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| v.击退,抵制,拒绝,排斥 | |
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discrepancies
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| n.差异,不符合(之处),不一致(之处)( discrepancy的名词复数 ) | |
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valiantly
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| adv.勇敢地,英勇地;雄赳赳 | |
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defense
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| n.防御,保卫;[pl.]防务工事;辩护,答辩 | |
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displacements
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| n.取代( displacement的名词复数 );替代;移位;免职 | |
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accomplished
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| adj.有才艺的;有造诣的;达到了的 | |
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budges
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| v.(使)稍微移动( budge的第三人称单数 );(使)改变主意,(使)让步 | |
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wireless
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| adj.无线的;n.无线电 | |
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apparatus
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| n.装置,器械;器具,设备 | |
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recoil
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| vi.退却,退缩,畏缩 | |
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recoils
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| n.(尤指枪炮的)反冲,后坐力( recoil的名词复数 )v.畏缩( recoil的第三人称单数 );退缩;报应;返回 | |
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cannon
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| n.大炮,火炮;飞机上的机关炮 | |
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projectile
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| n.投射物,发射体;adj.向前开进的;推进的;抛掷的 | |
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beacon
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| n.烽火,(警告用的)闪火灯,灯塔 | |
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diffusion
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| n.流布;普及;散漫 | |
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deflected
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| 偏离的 | |
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deflect
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| v.(使)偏斜,(使)偏离,(使)转向 | |
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decided
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| adj.决定了的,坚决的;明显的,明确的 | |
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agitating
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| 搅动( agitate的现在分词 ); 激怒; 使焦虑不安; (尤指为法律、社会状况的改变而)激烈争论 | |
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inertia
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| adj.惰性,惯性,懒惰,迟钝 | |
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augments
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| 增加,提高,扩大( augment的名词复数 ) | |
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retard
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| n.阻止,延迟;vt.妨碍,延迟,使减速 | |
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positively
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| adv.明确地,断然,坚决地;实在,确实 | |
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alas
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| int.唉(表示悲伤、忧愁、恐惧等) | |
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isolated
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| adj.与世隔绝的 | |
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justify
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| vt.证明…正当(或有理),为…辩护 | |
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entirely
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| ad.全部地,完整地;完全地,彻底地 | |
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discredit
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| vt.使不可置信;n.丧失信义;不信,怀疑 | |
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memoirs
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| n.回忆录;回忆录传( mem,自oir的名词复数) | |
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subsist
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| vi.生存,存在,供养 | |
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alteration
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| n.变更,改变;蚀变 | |
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morsel
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| n.一口,一点点 | |
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disquieted
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| v.使不安,使忧虑,使烦恼( disquiet的过去式和过去分词 ) | |
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transformations
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| n.变化( transformation的名词复数 );转换;转换;变换 | |
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