Pigeonhole principle 音标和中文翻译
Pigeonhole principle 的音标为 ˈpɪdʒɪnhəʊl ˈprɪnsɪpl。中文翻译为“鸽巢原理”，也常被称为“抽屉原理”。

基本含义
鸽巢原理是一个基本的组合数学原理，其核心思想是：如果鸽子的数量多于鸽巢的数量，那么至少有一个鸽巢里会有不止一只鸽子。更一般地说，如果要把多于n个的物品放入n个容器中，那么至少有一个容器包含两个或更多的物品。

短语搭配

Apply the pigeonhole principle 应用鸽巢原理

By the pigeonhole principle 根据鸽巢原理

The generalized pigeonhole principle 广义鸽巢原理

A simple application of the pigeonhole principle 鸽巢原理的一个简单应用

Use the pigeonhole principle to prove 使用鸽巢原理来证明

The concept of the pigeonhole principle 鸽巢原理的概念

An example of the pigeonhole principle 鸽巢原理的一个例子

Problems involving the pigeonhole principle 涉及鸽巢原理的问题

英文例句带中文翻译

According to the pigeonhole principle, if you have eleven socks in a drawer with only ten compartments, one compartment must contain at least two socks. 根据鸽巢原理，如果你有十一只袜子放在只有十个隔层的抽屉里，那么一个隔层里至少会有两只袜子。

We can use the pigeonhole principle to show that in any group of 13 people, at least two were born in the same month. 我们可以使用鸽巢原理证明，在任何13个人的群体中，至少有两个人出生在同一个月份。

The problem was solved by a straightforward application of the pigeonhole principle. 这个问题通过直接应用鸽巢原理得到了解决。

The generalized pigeonhole principle states that if you put mn+1 objects into n boxes, then at least one box contains m+1 or more objects. 广义鸽巢原理指出，如果你将mn+1个物体放入n个盒子中，那么至少有一个盒子包含m+1个或更多的物体。

To prove that there must be a repeated number in the sequence, the mathematician invoked the pigeonhole principle. 为了证明序列中必然有一个重复的数字，这位数学家援引了鸽巢原理。

Many interesting mathematical puzzles are based on the simple idea of the pigeonhole principle. 许多有趣的数学谜题都基于鸽巢原理这个简单的想法。

The teacher explained the pigeonhole principle using the example of students and birthdays. 老师用学生和生日为例解释了鸽巢原理。

In computer science, the pigeonhole principle is often used in the analysis of hashing algorithms. 在计算机科学中，鸽巢原理常用于分析哈希算法。

His argument relied heavily on the pigeonhole principle to demonstrate the inevitability of a collision. 他的论证 heavily 依赖于鸽巢原理来证明碰撞的必然性。

Understanding the pigeonhole principle is fundamental to grasping more complex concepts in combinatorics. 理解鸽巢原理是掌握组合数学中更复杂概念的基础。