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1.为什麼要用近似值及近似計算? 在日常生活中及工程設計及施工中我們遇到的數值絕大多數是有一定準確度的近似值,我們的錶告訴我們時間的一个近似值,如果每天中午無線电的報時与我們的錶在校正前相差不到半分鐘,那麼我們的錶已經足够準確了,要求我們的錶絕对準確是不可能的,也是不必要的。在工程施工中要求的準確度也是有一定限度的,有些零件要求準確到千分之一寸,有些零件要求準確到十万分之一寸,不过在任何情形下,要求絕对準確是不可能的,也是不必要的,要求过苛的準確度就要造成人力的浪費,要求的準確度不够就要造成很多廢品,結果浪費人力及資財,我們要求,也僅僅要求,足够的恰到好处的準確度,多餘或不足的準確度都会帶來損失。把幾个近似值加以加减乘除等运算後所得的結果仍是一个近似值。例如用算盤或筆算算出
1. Why Approximate Values and Approximate Calculations? The vast majority of the values we encounter in daily life and in engineering design and construction are approximations with a certain degree of accuracy. Our table tells us an approximate value of time, if noon The time difference between radio and our watch is less than half a minute before calibration. Our table is accurate enough. It is impossible and absolutely unnecessary for our watch to be absolutely accurate. The accuracy required in the construction of the project is also limited. Some parts are required to be accurate to one-thousandth of an inch. Some parts are required to be accurate to one hundred thousandth of an inch. However, in any case, it is impossible to require absolute accuracy. However, it is also unnecessary to require excessive accuracy and waste of manpower. If the required accuracy is not enough, it will result in a lot of waste products. As a result, it wastes manpower and assets, and we require only enough accuracy. , excess or lack of accuracy will bring losses. The result of addition, subtraction, multiplication, division, etc., of several approximations is still an approximation. For example, use abacus or calculation