common logarithm

简明释义

常用对数

英英释义

例句

1.In many scientific calculations, the common logarithm 常用对数 is preferred for its simplicity.

在许多科学计算中，common logarithm 常用对数因其简单性而受到青睐。

2.The formula requires us to take the common logarithm 常用对数 of the base value.

该公式要求我们计算基值的common logarithm 常用对数。

3.To solve this equation, we need to calculate the common logarithm 常用对数 of both sides.

要解这个方程，我们需要计算两边的common logarithm 常用对数。

4.You can find the common logarithm 常用对数 of a number using a scientific calculator.

你可以使用科学计算器找到一个数字的common logarithm 常用对数。

5.When graphing functions, the common logarithm 常用对数 can help in understanding exponential growth.

在绘制函数图形时，common logarithm 常用对数可以帮助理解指数增长。

作文

Mathematics is a vast field that encompasses various concepts and terminologies. One such concept is the common logarithm, which plays a crucial role in simplifying complex calculations. The common logarithm, defined as the logarithm to the base 10, is denoted as log(x) or log10(x). This means that if we have an equation like log10(100) = 2, it signifies that 10 raised to the power of 2 equals 100. Understanding the common logarithm is essential for students and professionals alike, as it is frequently used in various scientific and engineering fields.The history of logarithms dates back to the early 17th century when John Napier introduced the concept to simplify multiplication and division into addition and subtraction. The common logarithm became particularly popular due to its ease of use with base 10, which aligns with our decimal number system. This logarithmic function allows us to express large numbers in a more manageable form. For instance, instead of writing 1,000,000, we can simply write log10(1,000,000) = 6, indicating that 10 raised to the power of 6 equals 1,000,000.In practical applications, the common logarithm is invaluable in fields such as chemistry, physics, and engineering. For example, in chemistry, the pH scale, which measures the acidity or alkalinity of a solution, is based on the common logarithm. A solution with a pH of 7 is neutral, while values below 7 indicate acidity, and values above 7 indicate alkalinity. The pH is calculated using the formula pH = -log10[H+], where [H+] represents the concentration of hydrogen ions in the solution. This relationship highlights how the common logarithm is integral to understanding chemical properties.Moreover, in the field of information technology, the common logarithm is used in algorithms and data structures, particularly in analyzing the efficiency of algorithms. The time complexity of certain algorithms can be expressed using logarithmic functions, allowing developers to estimate how the performance of their code will scale with larger datasets. Understanding the common logarithm thus becomes essential for computer scientists who seek to optimize their programs.Despite its numerous applications, many students often struggle with the concept of logarithms, including the common logarithm. It is crucial for educators to emphasize its practical relevance and provide real-world examples to foster a deeper understanding. Engaging students with interactive tools, such as graphing calculators or software, can help demystify the common logarithm and illustrate its utility.In conclusion, the common logarithm is a fundamental mathematical concept that simplifies calculations and has widespread applications across various disciplines. By understanding the common logarithm, students can enhance their problem-solving skills and apply these principles in real-world scenarios. As we continue to explore the complexities of mathematics, the common logarithm remains a vital tool that bridges the gap between theoretical knowledge and practical application.

数学是一个广阔的领域，涵盖各种概念和术语。其中一个概念是常用对数，它在简化复杂计算中发挥着至关重要的作用。常用对数定义为以10为底的对数，表示为log(x)或log10(x)。这意味着如果我们有一个方程log10(100) = 2，它表示10的平方等于100。理解常用对数对学生和专业人士来说都是必不可少的，因为它在各种科学和工程领域中经常使用。对数的历史可以追溯到17世纪初，当时约翰·纳皮尔引入了这一概念，以将乘法和除法简化为加法和减法。由于与我们的十进制数字系统一致，常用对数变得特别流行。这种对数函数使我们能够以更易于管理的形式表达大数字。例如，与其写1,000,000，我们可以简单地写log10(1,000,000) = 6，表示10的六次方等于1,000,000。在实际应用中，常用对数在化学、物理和工程等领域中是非常宝贵的。例如，在化学中，pH值测量溶液的酸碱度，基于常用对数。pH值为7的溶液是中性的，而低于7的值表示酸性，高于7的值表示碱性。pH值通过公式pH = -log10[H+]计算，其中[H+]表示溶液中氢离子的浓度。这一关系突显了常用对数在理解化学性质中的重要性。此外，在信息技术领域，常用对数用于算法和数据结构，特别是在分析算法的效率方面。某些算法的时间复杂度可以使用对数函数表示，使开发人员能够估计其代码在更大数据集上的性能如何扩展。因此，理解常用对数对于寻求优化程序的计算机科学家来说变得至关重要。尽管有许多应用，但许多学生常常对对数的概念，包括常用对数感到困惑。教育者强调其实际相关性并提供现实世界的例子以促进更深入的理解是至关重要的。通过互动工具，如图形计算器或软件，可以帮助揭开常用对数的神秘面纱，并说明其实用性。总之，常用对数是一个基本的数学概念，简化了计算，并在各个学科中具有广泛的应用。通过理解常用对数，学生可以增强他们的问题解决能力，并在现实世界场景中应用这些原则。随着我们继续探索数学的复杂性，常用对数仍然是一个重要工具，架起理论知识与实际应用之间的桥梁。