A man is bound to be successful if only he will do his best.(一個別只要盡力而為就必定會告成。)

Doesn't need to be, so, what should I do about the upper bound here?(不必改下邊界值，因此,我該對上邊界值做個怎么樣的改動呢？)

Thee book's larger point is that, as Ellenberg writes, "to do mathematics is to be, at once, touched by fire and bound by reason".(這本書的亮點在于，如同艾倫倫博格所寫道的，“數學就是忽然觸及火焰，又為理性所約束。)

Every mistake or lie is bound to be found out. Therefore if any evidence is found contradicting their ideas, scientists do not suppress the evidence but modify or even abandon their ideas.(每一個錯誤或謊言必將被發現，如果發現了與他們的想法相矛盾的證據，科學家不是隱瞞證據，而是修改甚至放棄他們的想法。)

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The book's larger point is that, as Ellenberg writes, "to do mathematics is to be, at once, touched by fire and bound by reason"—and that there are ways in which we're all doing math, all the time.(正如愛倫伯格在書中寫道，本書更主要是告訴大家，“數學就是讓你被激情點燃的同時，又被理性包圍”，而通過各種方式，我們實際上每時每刻都在接觸數學。)

Notifiers are a great way of coupling parts of a system that are interested in state changes but do not want to be bound to one another.(事件通知是一種很好的方法，可用來將對系統中各部分狀態變化感興趣但是又不想限制在一起的各部分分開。)

Upholding the rules is bound to be hardest where people simply do not know about the sorts of protection that the conventions and protocols are supposed to afford.(在人們根本就不知道日內瓦公約及附加議定書有何種保護規定的地方必然最難于遵守這些規則。)