general formula

简明释义

通用公式

英英释义

例句

1.The general formula for calculating the volume of a cylinder is V = πr²h.

计算圆柱体体积的通式是V = πr²h。

2.In chemistry, the general formula is often used to represent a class of compounds, such as CnH2n+2 for alkanes.

在化学中，通式通常用于表示一类化合物，例如烷烃的C_nH_{2n+2}。

3.In mathematics, the general formula for the nth term of an arithmetic sequence is a_n = a_1 + (n-1)d.

在数学中，算术序列的第n项的通式是a_n = a_1 + (n-1)d。

4.In physics, the general formula for kinetic energy is KE = 1/2 mv².

在物理学中，动能的通式是KE = 1/2 mv²。

5.The general formula for the area of a circle is A = πr², where r is the radius.

圆的面积的通式是A = πr²，其中r是半径。

作文

In mathematics and science, a general formula is a concise way to express a relationship or rule that applies to a broad set of cases. It serves as a foundational tool for understanding complex concepts by simplifying them into an easily digestible format. For instance, in algebra, the quadratic formula is a general formula used to find the roots of any quadratic equation ax² + bx + c = 0. The formula x = (-b ± √(b² - 4ac)) / (2a) can be applied universally, demonstrating how a general formula can encapsulate a wide range of specific instances.The importance of a general formula extends beyond mathematics; it is also prevalent in the sciences. In chemistry, the general formula for alkanes is CnH2n+2, where 'n' represents the number of carbon atoms. This formula not only provides insight into the structure of alkanes but also allows chemists to predict the properties and behaviors of various compounds based on their molecular formulas. By using a general formula, scientists can categorize and understand chemical reactions more efficiently.Moreover, in the realm of programming and computer science, a general formula can refer to algorithms or functions that solve a class of problems. For example, sorting algorithms like QuickSort or MergeSort can be viewed as general formulas for organizing data. They provide a systematic approach that can be applied to any dataset, showcasing the versatility and power of general formulas in problem-solving.Understanding general formulas is crucial for students and professionals alike. It enhances critical thinking skills by encouraging individuals to look for patterns and relationships within data. Furthermore, it fosters creativity, as one learns to apply these formulas in innovative ways to solve real-world problems. For example, engineers often use general formulas in their designs, ensuring that structures can withstand various forces and loads, ultimately leading to safer buildings and infrastructure.In conclusion, a general formula is an essential concept across various disciplines, providing a framework that simplifies complex ideas into manageable forms. Whether in mathematics, science, or technology, the ability to derive and apply general formulas is a valuable skill that can lead to greater understanding and advancements in knowledge. As we continue to explore the world around us, the role of general formulas will undoubtedly remain significant, guiding our inquiries and innovations.

在数学和科学中，general formula是表达适用于广泛案例的关系或规则的一种简明方式。它作为理解复杂概念的基础工具，通过将其简化为易于消化的格式来发挥作用。例如，在代数中，二次公式是用于找到任何二次方程ax² + bx + c = 0根的一种general formula。该公式x = (-b ± √(b² - 4ac)) / (2a)可以普遍应用，展示了general formula如何能够概括一系列特定实例。general formula的重要性超越了数学；它在科学中也很常见。在化学中，烷烃的general formula是CnH2n+2，其中'n'代表碳原子的数量。这个公式不仅提供了对烷烃结构的洞察，还允许化学家根据分子式预测各种化合物的性质和行为。通过使用general formula，科学家可以更有效地分类和理解化学反应。此外，在编程和计算机科学领域，general formula可以指解决某类问题的算法或函数。例如，排序算法如快速排序或归并排序可以被视为组织数据的general formula。它们提供了一种可以应用于任何数据集的系统方法，展示了general formula在解决问题中的多功能性和强大能力。理解general formulas对于学生和专业人士来说至关重要。它通过鼓励个人寻找数据中的模式和关系来增强批判性思维技能。此外，它还培养创造力，因为人们学习以创新的方式应用这些公式来解决现实世界的问题。例如，工程师通常在设计中使用general formulas，确保结构能够承受各种力量和负荷，最终导致更安全的建筑和基础设施。总之，general formula是各个学科中的一个基本概念，提供了将复杂思想简化为可管理形式的框架。无论是在数学、科学还是技术中，推导和应用general formulas的能力都是一种宝贵的技能，可以带来更大的理解和知识的进步。随着我们继续探索周围的世界，general formulas的作用无疑将保持重要，指导我们的探究和创新。