theorem

简明释义

英[ˈθɪərəm]美[ˈθiːərəm]

n. [数] 定理；原理

复 数 t h e o r e m s

英英释义

单词用法

同义词

反义词

例句

1."It's a very interesting theorem," says Brualdi.

“这是一个非常有趣的定理，”Brualdi说。

2.So, let's prove this theorem.

下面来证明这个定理。

3.In the plane that is called Green's theorem.

平面上的就是格林公式。

4.The theorem that alternativity can replace associativity is true.

交替性可以代替关联性的定理是正确的。

5.OK, and actually that's how we prove the theorem.

实际上，这也是我们证明的思路。

6.If you want, in a way, it's this theorem.

可以这样想，这就是定理告诉我们的。

7.The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

毕达哥拉斯定理指出，在直角三角形中，斜边的平方等于其他两边的平方和。

8.In computer science, the Halting theorem proves that it is impossible to determine whether a given program will finish running or continue indefinitely.

在计算机科学中，停机定理证明了无法确定给定程序是否会运行完成或无限期继续运行。

9.The Fundamental Theorem of Calculus connects differentiation and integration, showing that they are inverse processes.

微积分基本定理连接了微分和积分，表明它们是反向过程。

10.A common example of a mathematical theorem is the Law of Large Numbers, which describes the result of performing the same experiment many times.

一个常见的数学定理是大数法则，它描述了多次进行同一实验的结果。

11.According to Fermat's Last theorem, there are no three positive integers a, b, and c that satisfy the equation a^n + b^n = c^n for any integer value of n greater than two.

根据费马最后定理，对于任何大于二的整数n，没有三个正整数a、b和c满足方程a^n + b^n = c^n。

作文

Mathematics is often regarded as the language of the universe, a tool through which we can decipher the complexities of the world around us. At the heart of mathematics lies the concept of a theorem, which serves as a fundamental building block for understanding mathematical principles. A theorem is a statement that has been proven to be true based on previously established statements, such as other theorems, and axioms. The process of proving a theorem is not just about arriving at a conclusion; it is about the journey of logical reasoning and critical thinking that leads to that conclusion. This journey is what makes mathematics both challenging and rewarding.One of the most famous theorems in mathematics is the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. This theorem is not only a cornerstone of geometry but also has applications in various fields such as physics, engineering, and computer science. Understanding the Pythagorean theorem allows students to grasp the relationship between different elements in a triangle, which is essential for solving real-world problems.Moreover, the significance of a theorem extends beyond its immediate application. Each theorem helps to build a framework within which further knowledge can be developed. For example, the proof of Fermat's Last theorem, which states that there are no three positive integers a, b, and c that satisfy the equation a^n + b^n = c^n for any integer value of n greater than 2, took over 350 years to solve. The journey to prove this theorem involved countless mathematicians and led to the development of new areas of mathematics, such as algebraic geometry and number theory. This illustrates how a single theorem can inspire generations of thinkers and lead to significant advancements in mathematical understanding.In addition to their theoretical importance, theorems also play a crucial role in practical applications. For instance, in computer science, algorithms often rely on mathematical theorems to ensure efficiency and accuracy. The RSA algorithm, which is widely used for secure data transmission, is based on the principles of number theory and relies on theorems related to prime numbers. Without these theorems, our ability to protect sensitive information would be severely compromised.In conclusion, the concept of a theorem is central to the field of mathematics and extends its influence into various disciplines. Understanding theorems not only enhances our comprehension of mathematical concepts but also equips us with the tools necessary to tackle complex problems in the real world. As we continue to explore and discover new theorems, we are reminded of the beauty and intricacy of mathematics, a language that transcends borders and connects us all.In summary, a theorem (定理) is a proven statement in mathematics that forms the foundation for further understanding and exploration in the field. By studying theorems, we not only learn about mathematical relationships but also develop critical thinking skills that are valuable in various aspects of life.

数学常被视为宇宙的语言，是我们解读周围世界复杂性的工具。在数学的核心概念中，定理是理解数学原理的基本构建块。定理是一个基于先前建立的陈述（如其他定理和公理）被证明为真的语句。证明一个定理的过程不仅仅是得出结论；而是关于逻辑推理和批判性思维的旅程，这一切都指向那个结论。这一旅程使得数学既具有挑战性又富有回报。在数学中最著名的定理之一是毕达哥拉斯定理，它指出在直角三角形中，斜边长度的平方等于其他两条边长度的平方之和。这个定理不仅是几何学的基石，而且在物理、工程和计算机科学等多个领域都有应用。理解毕达哥拉斯定理使学生能够掌握三角形中不同元素之间的关系，这对于解决现实问题至关重要。此外，定理的重要性超出了其直接应用。每个定理都有助于建立一个框架，在此基础上可以发展进一步的知识。例如，费马大定理的证明，即没有三个正整数a、b和c能满足方程a^n + b^n = c^n（其中n大于2），花费了超过350年的时间来解决。证明这个定理的过程涉及无数数学家，并导致了新数学领域的发展，如代数几何和数论。这表明一个单一的定理能够激励几代思想家，并导致数学理解的重大进展。除了理论上的重要性，定理在实际应用中也发挥着关键作用。例如，在计算机科学中，算法通常依赖于数学定理以确保效率和准确性。RSA算法广泛用于安全数据传输，其基础是数论的原理，并依赖于与素数相关的定理。没有这些定理，我们保护敏感信息的能力将受到严重影响。总之，定理的概念在数学领域中占据中心地位，并扩展到各个学科。理解定理不仅增强了我们对数学概念的理解，还为我们提供了解决现实世界复杂问题所需的工具。随着我们不断探索和发现新的定理，我们被提醒数学的美丽和复杂性，这是一种超越国界并将我们所有人连接在一起的语言。总之，定理（theorem）是数学中一个经过证明的语句，构成了进一步理解和探索这一领域的基础。通过研究定理，我们不仅学习到数学关系，还培养了在生活各个方面都极为宝贵的批判性思维能力。