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7

You're taking the third place (第3位) and you're either throwing it away if it's four or below (四捨) or you add one to the next place if it's five or above (五入). As a result, the third place is gone, and you're only left with two decimal places.


6

証拠立てる is virtually never used in mathematical articles. I would translate it like so: すべてのxに対してP(x)が真であることを示せ。 すべてのxについてP(x)が成り立つことを証明せよ。


4

≦ is used everywhere in Japan, unless it's a paper written in English.


2

I think the problem comes from "小数第2位未満", but not he latter part. From the sentence, it should mean that a decimal place after the second decimal point is generated. Like: 3.1415 ≈ 3.14 As the decimal places goes further, the actual number it represents becomes smaller. I think this is what 未満 comes from. It means: when a decimal place that is not big ...



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