theorems

简明释义

英[ˈθɪə.rəmz]美[ˈθiː.ərəmz]

[数] 定理

英英释义

单词用法

同义词

反义词

例句

1.Remember, the divergence of a vector field What do these two theorems say?

向量场，的散度，这两个定理说了什么呢？

2.Matrix proofs of several theorems in linear algebra are given.

摘要给出了线性代数中几个定理的矩阵证法。

3.And we will see theorems about flux pretty soon.

很快也会看到关于通量的定理。

4.We have two theorems about work.

关于做功，我们有两个公式。

5.The terrain was strewn with beautiful theorems begging to be picked up and arranged in unified order.

该领域充满了美妙的定理，等待着人们去采撷和整理。

6.And also, when you state theorems in that way, it reminds you, oh..

当你这样来说明问题，它会提醒你。

7.Famous Theorems define the mathematical landscape.

著名的定理决定数学的风景。

8.Calculus is built upon several important theorems that describe the behavior of functions.

微积分是建立在几个重要的定理之上的，这些定理描述了函数的行为。

9.Many scientists rely on established theorems to support their research findings.

许多科学家依赖于已建立的定理来支持他们的研究发现。

10.The Pythagorean theorem is a fundamental principle in mathematics.

毕达哥拉斯定理是数学中的一个基本原理。

11.Understanding the theorems of algebra is crucial for solving complex equations.

理解代数的定理对于解决复杂方程至关重要。

12.In geometry, we often use theorems to prove various properties of shapes.

在几何学中，我们常常使用定理来证明各种形状的特性。

作文

In the realm of mathematics, theorems (定理) serve as the foundational building blocks upon which complex theories and applications are constructed. A theorem is a statement that has been proven to be true based on previously established statements, such as other theorems (定理), axioms, and postulates. The process of proving a theorem is not just a mere academic exercise; it is a rigorous method of validation that ensures the integrity of mathematical reasoning. One of the most renowned examples of a theorem (定理) is Pythagoras' 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 (定理) is not only a fundamental principle in geometry but also has practical applications in various fields such as architecture, engineering, and physics. The beauty of such theorems (定理) lies in their ability to simplify complex relationships and provide clarity in problem-solving.Another significant theorem (定理) is Fermat's Last Theorem, which posits 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 two. This theorem (定理) remained unproven for over 350 years until mathematician Andrew Wiles provided a proof in 1994. The journey to proving this theorem (定理) not only advanced number theory but also inspired a generation of mathematicians to explore the depths of mathematical inquiry.The importance of theorems (定理) extends beyond pure mathematics; they are crucial in various scientific disciplines. For instance, in physics, the laws of motion proposed by Newton can be regarded as a set of theorems (定理) that describe the relationship between the forces acting on an object and its motion. These theorems (定理) form the basis for classical mechanics and have paved the way for advancements in technology and engineering.Understanding theorems (定理) requires not only the ability to grasp abstract concepts but also the skill to apply them in practical situations. Students often find theorems (定理) challenging, as they involve intricate logical reasoning and a deep understanding of underlying principles. However, mastering these theorems (定理) can lead to a greater appreciation of the elegance and coherence of mathematics.In conclusion, theorems (定理) are more than just statements in mathematics; they are essential tools that help us understand the world around us. Whether in geometry, number theory, or physics, theorems (定理) provide a framework for exploration and discovery. As we continue to delve into the mysteries of mathematics, the study of theorems (定理) will remain a vital part of our intellectual journey, inspiring future generations to uncover new truths and solve complex problems.

在数学领域，theorems（定理）是构建复杂理论和应用的基础构件。theorem 是一种已经被证明为真的陈述，它基于先前建立的陈述，例如其他 theorems（定理）、公理和假设。证明 theorem 的过程不仅仅是一个学术练习；它是一种严格的验证方法，确保数学推理的完整性。一个最著名的 theorem（定理）是毕达哥拉斯定理，它指出在直角三角形中，斜边的平方等于其他两边的平方之和。这个 theorem（定理）不仅是几何学中的基本原则，而且在建筑、工程和物理等多个领域有着实际应用。这些 theorems（定理）的美在于它们能够简化复杂关系，并在解决问题时提供清晰度。另一个重要的 theorem（定理）是费马大定理，它提出没有三个正整数 a、b 和 c 满足方程 a^n + b^n = c^n 对于任何大于二的整数值 n。这个 theorem（定理）在350多年内未能证明，直到数学家安德鲁·怀尔斯于1994年提供了证明。证明这个 theorem（定理）的过程不仅推动了数论的发展，还激励了一代数学家深入探索数学研究的深度。theorems（定理）的重要性超越了纯数学，它们在各个科学学科中至关重要。例如，在物理学中，牛顿提出的运动定律可以看作是一组描述作用在物体上的力与其运动之间关系的 theorems（定理）。这些 theorems（定理）构成了经典力学的基础，为技术和工程的发展铺平了道路。理解 theorems（定理）不仅需要掌握抽象概念的能力，还需要将其应用于实际情况的技能。学生们常常发现 theorems（定理）具有挑战性，因为它们涉及复杂的逻辑推理和对基本原则的深刻理解。然而，掌握这些 theorems（定理）可以使我们更深刻地欣赏数学的优雅和一致性。总之，theorems（定理）不仅仅是数学中的陈述；它们是帮助我们理解周围世界的重要工具。无论是在几何学、数论还是物理学中，theorems（定理）提供了探索和发现的框架。随着我们继续深入探索数学的奥秘，theorems（定理）的研究将始终是我们智力旅程的重要组成部分，激励未来几代人揭示新真理并解决复杂问题。