logarithmic table

简明释义

对数表

英英释义

A logarithmic table is a mathematical table that lists the logarithms of numbers, typically to a specific base, allowing for quick calculations of products, quotients, and powers by converting multiplication and division into addition and subtraction.

对数表是一种数学表格,列出了数字的对数(通常是特定底数的对数),以便快速计算乘积、商和幂,通过将乘法和除法转换为加法和减法。

例句

1.To solve exponential equations, you can use a logarithmic table 对数表 for quick reference.

要解决指数方程,您可以使用logarithmic table 对数表 进行快速参考。

2.Before calculators were common, students relied heavily on the logarithmic table 对数表 for their math homework.

在计算器普及之前,学生们在数学作业中非常依赖logarithmic table 对数表

3.The scientist needed a logarithmic table 对数表 to analyze the growth rate of bacteria in her experiment.

科学家需要一个logarithmic table 对数表 来分析她实验中细菌的生长速率。

4.When engineers calculate the intensity of sound, they use a logarithmic table 对数表 to convert decibels.

当工程师计算声音强度时,他们使用logarithmic table 对数表 来转换分贝。

5.In mathematics class, we often refer to the logarithmic table 对数表 to simplify complex calculations.

在数学课上,我们经常参考logarithmic table 对数表 来简化复杂的计算。

作文

The concept of a logarithmic table is often overlooked in the modern world, where calculators and computers have become ubiquitous. However, understanding the significance of a logarithmic table can provide valuable insights into the history of mathematics and its practical applications. A logarithmic table is essentially a mathematical tool that lists the logarithms of numbers in a systematic way, allowing for easier calculations, especially before the advent of electronic calculators.Historically, the invention of the logarithmic table can be attributed to John Napier in the early 17th century. Napier's work revolutionized computation by transforming multiplication and division into simpler addition and subtraction operations through the use of logarithms. This innovation significantly reduced the time and effort required for complex calculations, making it an essential tool for scientists, engineers, and mathematicians of the time.In practical terms, a logarithmic table allows users to look up the logarithm of a number and use that value to perform calculations more efficiently. For example, if a scientist needed to multiply two large numbers, they could find the logarithm of each number in the logarithmic table, add those logarithmic values together, and then convert the result back into a standard number using the inverse logarithmic function. This method not only simplified calculations but also minimized the risk of errors that could occur during manual computations.Moreover, the use of logarithmic tables extended beyond basic arithmetic; they were crucial in fields such as astronomy, navigation, and physics. For instance, navigators relied on these tables to calculate distances and angles while at sea, ensuring safe and accurate travel. Similarly, astronomers used logarithmic tables to analyze celestial movements and make predictions about astronomical events.Despite the decline in the use of logarithmic tables with the rise of digital technology, their impact on modern mathematics remains profound. They laid the groundwork for many mathematical concepts we use today, including exponential growth and decay, which are fundamental in various scientific disciplines. Understanding the historical context and applications of a logarithmic table can enhance our appreciation for the evolution of mathematical tools and their relevance in contemporary society.In conclusion, while the logarithmic table may seem like an outdated relic of the past, its contributions to mathematics and science are invaluable. By learning about its origins and uses, we gain a deeper understanding of how mathematical innovations shape our world. The legacy of the logarithmic table serves as a reminder of the importance of mathematical literacy and the continuous quest for knowledge in the pursuit of progress. As we move forward, let us not forget the foundational tools that have paved the way for modern computation and analysis.

对“对数表”的概念在现代世界中常常被忽视,因为计算器和计算机已经变得无处不在。然而,理解对数表的重要性可以为我们提供有关数学历史及其实际应用的宝贵见解。对数表本质上是一个数学工具,它以系统的方式列出了数字的对数,使得计算变得更加容易,尤其是在电子计算器出现之前。历史上,对数表的发明可以追溯到17世纪初的约翰·纳皮尔。纳皮尔的工作通过使用对数,将乘法和除法转化为更简单的加法和减法,从而彻底改变了计算。这一创新显著减少了复杂计算所需的时间和精力,使其成为当时科学家、工程师和数学家的必备工具。在实际应用中,对数表使用户能够查找一个数字的对数,并利用该值更高效地进行计算。例如,如果一位科学家需要乘以两个大数字,他们可以在对数表中找到每个数字的对数,将这些对数值相加,然后使用反对数函数将结果转换回标准数字。这种方法不仅简化了计算,还最小化了手动计算过程中可能出现的错误风险。此外,对数表的使用超越了基本算术;它们在天文学、航海和物理等领域至关重要。例如,航海者依赖这些表格来计算海上的距离和角度,以确保安全和准确的旅行。同样,天文学家使用对数表来分析天体运动并预测天文事件。尽管随着数字技术的兴起,对数表的使用有所减少,但它们对现代数学的影响仍然深远。它们为我们今天使用的许多数学概念奠定了基础,包括指数增长和衰减,这在各个科学学科中都是基础。了解对数表的历史背景和应用可以增强我们对数学工具演变及其在当代社会相关性的欣赏。总之,虽然对数表看似是过去的过时遗物,但它对数学和科学的贡献是无价的。通过学习它的起源和用途,我们可以更深入地理解数学创新如何塑造我们的世界。对数表的遗产提醒我们数学素养的重要性,以及在追求进步中的持续知识探索。随着我们向前发展,让我们不要忘记那些为现代计算和分析铺平道路的基础工具。

相关单词

logarithmic

logarithmic详解:怎么读、什么意思、用法