Maple 14 如何将华氏度转换为摄氏度
using
convert(32, temperature, Fahrenheit, Celsius)
我得到 0,已知水的冰点,以摄氏度为单位,
using
convert(32, units, Fahrenheit, Celsius)
我得到大约 160/9。 17.778 摄氏度
Maple 如何得到这个答案 160/9
我也尝试过这个...
using
convert(100, temperature, Celsius, Fahrenheit)
我得到 212
using
convert(100, units, Celsius, Fahrenheit)
我得到 180
using
convert(32, temperature, Fahrenheit, Celsius)
I get 0, the known freezing point of water in Celsius
using
convert(32, units, Fahrenheit, Celsius)
I get 160/9 approx. 17.778 Celcius
How does Maple get this answer 160/9
I tried this as well...
using
convert(100, temperature, Celsius, Fahrenheit)
I get 212
using
convert(100, units, Celsius, Fahrenheit)
I get 180
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这是一个“相对”与“绝对”的问题。
以绝对值计算,1 摄氏度等于 33.8 华氏度。这是绝对尺度。
换句话说,水的冰点以上 1 摄氏度与水的冰点以上 1.8 华氏度的温度相同。这是一个绝对的规模;例如。它们匹配的固定冰点为 0 摄氏度 = 32 华氏度。
这导致众所周知的相对比例,1 摄氏度 = 9/5 def F。这意味着每增加 1 摄氏度,就会有一个升高 9/5 华氏度。这是一个相对比例;没有固定的参考值,例如冰点或沸点。
convert/Temperature
进行绝对刻度温度转换。convert/units
进行相对比例“温度增量”转换。假设我对你说,10 摄氏度是多少华氏度?在你的脑海中,你可能会这样做:除以 5 得到 2,乘以 9 得到 18,然后加上 32 得到 50 华氏度的最终结果。你在最后添加了 32 华氏度,因为这是(绝对尺度)温度问题。现在,如果我随后问第二个问题:11 摄氏度(华氏度)是多少?比以前高了 1 摄氏度。您需要在之前的答案中添加多少华氏度?您在之前的答案中添加的肯定不是 33.8 华氏度更多。不,您只需采用 1 摄氏度 = 1.8 华氏度,因为这是一个增量。你会得到 50 deg F + 1.8 deg F = 51.8 deg F。这是相对于第一个答案的增量。
This is a "relative" versus "absolute" issue.
In absolute terms, 1 deg C is 33.8 deg F. That's on an absolute scale.
In other words, 1 deg C above the freezing point of water is the same temperature as 1.8 deg F above the freezing point of water. It's an absolute scale; eg. the fixed freezing point where they match at 0 deg C = 32 deg F.
And that leads to the well known relative scale, 1 deg C = 9/5 def F. That means that for every 1 deg C of increase, there is a 9/5 deg F increase. This is a relative scale; there's no fixed reference such as freezing or boiling points.
convert/temperature
does the absolute scale temperature conversion.convert/units
does the relative scale "temperature increment" conversion.Suppose I say to you, what's 10 deg C in Fahrenheit? In your head you might do it like so: Divide by 5 to get 2, multiply by 9 to get 18, and add 32 to get a final result of 50 deg F. You added the 32 deg F at the end, because this was an (absolute scale) temperature question. Now what if I subsequently asked a second question: what's 11 deg C in Fahrenheit? That's 1 deg C more than before. How many deg F do you need to add to the previous answer? It's certainly not 33.8 deg F more that you'd add to the earlier answer. No, you'll just take 1 deg C = 1.8 deg F, since this is an increment. And you'll get 50 deg F + 1.8 deg F = 51.8 deg F. That was a relative increment over the first answer.