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人民教育出版社出版的高級小學中學課本“代數”即基氏代數譯本,其中關于無理指數的意義,有一些地方譯的不對,茲擬將此書第二册55頁倒3行起至36頁第10行的文字改爲: [此時,a~a表示這樣的一個數,其值大於a~(a1)而小於a~(a2)可以証明這樣的數是存在的而且是唯一的,例如,10~(2~(1/2))表示一個數,它大於下面数列中各數: 10~(1.4),10~(1.41),10~(1.414),10~(1.4142),…,此数列內各数的指数皆為、2~(1/2)的十進不足近似值;而小於數列 10~(1.5),10~(1.42),10~(1.415),10~(1.4143),…,中的各數,其指數皆為2~(1/2)的十進過剩近似值。
People’s Education Publishing House published the book “Algebra,” which is the basic algebra of almanac, and the meaning of the irrational index is translated in some places. It is proposed that the 55th page of the second volume should be inverted from 3 to 36 pages. The text of the ten lines is changed to: [in this case, a~a represents a number such that its value is greater than a~(a1) and less than a~(a2) can prove that such a number exists and is unique, for example, 10~(2~(1/2)) represents a number that is greater than the numbers in the following array: 10~(1.4), 10~(1.41), 10~(1.414), 10~(1.4142),..., this The exponents of the numbers in the series are all the decimal deficient approximations of 2~(1/2), but less than the numbers of 10~(1.5), 10~(1.42), 10~(1.415), 10~(1.4143),... Each of the numbers in the index is a decimal excess of 2 to 1/2.