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《数学通报》1963年第六期刊载的拙作“结合物理知识加强代数基础知识的教学”一文中,有几处叙述不够严谨,在个別地方还有些不妥和错誤,特地在这里说明更正。 1.在原文第一节说明等差数列的一个例子中(第20页左栏第13行起),“……一定质量气体的膨胀过程,ν=ν_0+ν_0β_t,其中ν_0和β为定值,ν_n-ν_(n-1)==ν_0β(t_n-t_(n-1)),若每隔1秒鈡测定一次体积,则得到的是等差数列,其公差为ν_0β。”这是盖·呂萨克定律,表示一定质量气体在压强不变时的膨胀规律,即体积随温度的变化关系,公式中的t表示溫度。原文誤为时间;上述引号中的“每隔一秒钟”测定一次体积应改为“气体每升高1℃”测定一次体积。
The sixth issue of “The Mathematics Bulletin” published in the 1963 issue of the book “Combining Physical Knowledge to Strengthen the Teaching of Algebraic Basic Knowledge” contains several statements that are not rigorous enough, and that there are still some mistakes and mistakes in individual places. Special corrections will be made here. . 1. In the first section of the original text describing an example of an arithmetic progression (from page 20, left column, line 13), “... the expansion of a certain mass of gas, ν=ν_0+ν_0β_t, where ν_0 and β are constants. , ν_n-ν_(n-1) == ν_0β(t_n-t_(n-1)). If the volume is measured once every second, the result is an arithmetic progression with the tolerance ν_0β.” This is the cover. Lusak’s law expresses the law of expansion of a certain mass of gas when the pressure is constant, ie, the relationship between volume and temperature. t in the formula indicates temperature. The original text was erroneously time; the “every second” measured volume in the above quotes should be changed to “gas 1°C for every 1°C increase” to determine the volume once.