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【答案】应助回帖
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爱与雨下: 金币+1 2017-05-11 20:37:02
涂文超: 金币+50, 翻译EPI+1, ★★★★★最佳答案 2017-05-12 17:12:57
是翻译成英语吗？
In the process of learning math, series is very important for function research. It plays an important role in theory and in practically application. Series is divided into numerical series and functional series. Actually numerical series is limitless numbers’ sum, while series with function terms is limitless functions’ sum. It is known that limit numbers adding will show some properties, such as the associative law, commutative law and distributive law of Addition. So will limitless numbers’ addition also meet these properties? Limit functions’ addition meet the properties such as the sum’s limit equals to limit’s sum, sum’s integral equals to integral’s sum and sum’s derivative equals to derivative’s sum. So will limitless functions’ addition also meet these properties, or will it satisfy under some conditions? Limit to limitless is the different on numbers on the surface, in fact the quantitative change has already caused quality change. This paper will conduct study on this problem. Through the comparison on limit sum and limitless sum, find out under what conditions the limitless sum will meet these properties. After research we find that neither numerical series nor functional series can use these properties at liberty, expect only under some specific conditions. |
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