庞加莱猜想的重要不仅在于它的实际应用性，还因为巨量的数学工作是基于假定庞加莱猜想是正确的。
Poincare's conjecture is important not for its practical applications, but because a vast quantity of mathematical work assumes that it is true.
参加数学建模比赛的经历更加激发起我的学习兴趣，使我在学习数学理论的同时更加注重它们的应用性。
The experience from this contest further aroused my interest in mathematics. I began to pay more attention to its application as well as learning the theories.
数学具有高度的抽象性和广泛的应用性。
Mathematics is a subject of high abstraction and broad application.
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