YOU SAID:

There are feelings we can have that can not be explained in words.

INTO JAPANESE

数学だけで動く範囲と、数学だけでは説明できない式で動く範囲が見つかっている。

BACK INTO ENGLISH

A range that moves with mathematics alone and a range that moves with an expression that can not be explained by mathematics alone are found.

INTO JAPANESE

数学だけで動く範囲と、数学だけでは説明できない式で動く範囲が見つかっている。

BACK INTO ENGLISH

A range that moves with mathematics alone and a range that moves with an expression that can not be explained by mathematics alone are found.