| 单词 | 数学上 |
| 释义 | 〔infinite〕Infinite is sometimes grouped with absolute terms such asunique, absolute, and omnipotent, since in its strict mathematical sense it allows no degree modification or comparison;one quantity cannot be more infinite than another (though technically one infinite set can be larger than another).Unlike other absolute terms, however,infinite also does not permit modification by adverbs such as nearly and almost; mathematically, infinity is not approached by degrees.In nontechnical usage, of course,infinite is often used metaphorically to refer simply to an unimaginably large degree or amount, and here the comparison of the word is unexceptionable: Infinite 有时被一些表示绝对意义的词修饰， 如unique ， absolute 和 omnipotent ， 由于在其严格的数学意义上它不允许表示程度的修饰或比较，一个数不可能比另一个数“更加无穷大”（虽然以技术上讲一个无穷集可以比另一个集更大）。但是，与其它表示绝对意义的词不同，infinite 也不能用 nearly 和 almost 这一类副词来修饰； 以数学上讲，无穷大是不能逐步接近的。当然，在非技术性的用法中，infinite 常常隐喻地仅指明一个难以想象的大程度或数量， 在这种用法下，仍然不能使用比较： 〔mathematical〕Of or relating to mathematics.数学的：属于或关于数学上的〔fraction〕One might think that a word likefraction as well as its ancestors might have always referred to the mathematical fraction. Certainly the mathematical notion of a fraction was known to the Babylonians, perhaps as early as 2000b.c. But our wordfraction goes back only to the Latin word frangere, "to break.” From the stem of the past participlefrāctus is derived Late Latin frāctiō, "a breaking" or "a breaking in pieces,”as in the breaking of the Eucharistic Host.In Medieval Latin the wordfrāctiō developed its mathematical sense, which was taken into Middle English along with the word.The earliest recorded sense of our word is "an aliquot part of a unit, a fraction or subdivision,”found in a work by Chaucer written about 1400.One of the next recorded instances of the word recalls its origins, referring to the "brekying or fraccioun" of a bone.人们也许认为一个词如fraction 以及它的词源总是指数学上的分数。 当然，分数的数学概念也许早在公元前 2000年就已被巴比伦人所熟知。 但fraction 一词仅能追溯到拉丁词 frangere ，“打碎”。 源自过去分词fractus 的词干是派生的后期拉丁语 fractio ， 意为“破裂”或“碎成一片片的”，如感恩节的饼的碎块。在中世纪拉丁语中，fractio 一词出现了数学意义， 这个词连同此意义都被记入中世纪英语中。这个词最早记载的意义是“一个数学单元，繁分数或再分数的约数”，出现在约1400年乔臾写的一部作品里。后来此词有记录的例子之一，指骨头上的“裂痕或碎片”，使人回忆起它的起源〔acquire〕acquire proficiency in math.在数学上达到熟练水平〔discretization〕The act of making mathematically discrete.离散化：使成为数学上的离散形式的行为〔proportional〕One of the quantities in a mathematical proportion.比例项：在数学上成比例的数或项之一〔turn〕Unsuccessful in mathematics, the student turned to biology.在数学上一无所成，这个学生转而从事生物学的研究〔mathematician〕A person skilled or learned in mathematics.数学家：在数学上熟练或有学问的人 |
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