table of logarithms

简明释义

对数表

英英释义

例句

1.During my physics exam, I used a table of logarithms 对数表 to help with exponential calculations.

在我的物理考试中，我使用了对数表来帮助进行指数计算。

2.The engineer consulted a table of logarithms 对数表 to determine the decay rate of the material.

工程师查阅了对数表以确定材料的衰减率。

3.I found it useful to keep a table of logarithms 对数表 handy while studying calculus.

在学习微积分时，我发现随身携带一份对数表非常有用。

4.When learning about logarithmic functions, our teacher provided us with a table of logarithms 对数表 for reference.

在学习对数函数时，我们的老师给我们提供了一份对数表作为参考。

5.In high school, we often referred to the table of logarithms 对数表 to solve complex equations.

在高中，我们常常参考对数表来解决复杂的方程。

作文

In the realm of mathematics, particularly in the study of logarithms, one cannot overlook the significance of a table of logarithms. A table of logarithms is essentially a chart that lists the logarithms of various numbers, typically in base 10 or base e. This tool has been invaluable for students, scientists, and engineers alike, serving as a quick reference to simplify complex calculations. Before the advent of calculators and computers, these tables were essential for performing multiplication and division through addition and subtraction of logarithmic values.The concept of logarithms itself can be traced back to the early 17th century when mathematicians like John Napier introduced the idea to simplify calculations. The table of logarithms became a pivotal resource during this time, allowing users to convert multiplicative processes into additive ones. For instance, multiplying two numbers could be transformed into adding their corresponding logarithmic values found in the table of logarithms. This not only saved time but also reduced the likelihood of errors in lengthy calculations.To illustrate how a table of logarithms works, consider the multiplication of two numbers, say 5 and 10. Instead of calculating directly, one would find the logarithm of 5 and the logarithm of 10 in the table of logarithms. Let’s say the logarithm of 5 is approximately 0.699 and the logarithm of 10 is 1.000. By adding these two logarithmic values, we get 1.699. To find the product, we would then look for the antilogarithm of 1.699, which gives us 50, the product of 5 and 10.The utility of a table of logarithms extends beyond simple arithmetic. In fields such as physics and engineering, logarithmic scales are often employed to measure phenomena that span several orders of magnitude. For example, the Richter scale used to measure earthquakes is logarithmic, meaning each whole number increase on the scale represents a tenfold increase in measured amplitude. Thus, having access to a table of logarithms can be incredibly useful for professionals working in these areas, as it allows for quick calculations related to exponential growth or decay.With the technological advancements of the past few decades, the reliance on physical tables of logarithms has diminished significantly. Today, most people use calculators or computer software that can compute logarithmic values instantly. However, understanding how to read and utilize a table of logarithms remains an important skill, especially for those pursuing advanced studies in mathematics or science. It provides a foundational knowledge that enhances one’s ability to grasp more complex mathematical concepts.In summary, the table of logarithms is more than just a collection of numbers; it is a gateway to understanding the power of logarithmic functions and their applications in various scientific disciplines. While modern technology has made it easier to perform logarithmic calculations, the historical significance and educational value of the table of logarithms cannot be understated. It serves as a reminder of the evolution of mathematical tools and the importance of mastering fundamental concepts in mathematics. The legacy of the table of logarithms continues to influence how we approach problem-solving in mathematics today.

在数学领域，尤其是在对数的研究中，人们无法忽视对数表的重要性。对数表本质上是一个列出各种数字对数的图表，通常以10为底或以e为底。这个工具对于学生、科学家和工程师来说都极为重要，作为简化复杂计算的快速参考。在计算器和计算机出现之前，这些表格对于通过加法和减法进行乘法和除法计算至关重要。对数的概念可以追溯到17世纪初，当时数学家约翰·纳皮尔引入了这个想法以简化计算。对数表在这段时间成为一个关键资源，使用户能够将乘法过程转变为加法。例如，乘以两个数字可以转变为查找它们在对数表中的对应对数值。假设5的对数约为0.699，而10的对数为1.000。通过将这两个对数值相加，我们得到1.699。为了找到乘积，我们接着会寻找1.699的反对数，这给出了50，即5和10的乘积。对数表的实用性超越了简单的算术。在物理学和工程学等领域，常常采用对数刻度来测量跨越多个数量级的现象。例如，用于测量地震的里氏震级就是对数的，这意味着刻度上的每个整数增加代表测量振幅的十倍增加。因此，对于在这些领域工作的专业人士来说，拥有一份对数表可能非常有用，因为它允许快速进行与指数增长或衰减相关的计算。随着过去几十年技术的进步，对物理对数表的依赖显著减少。如今，大多数人使用计算器或计算机软件，可以瞬间计算对数值。然而，理解如何阅读和利用对数表仍然是一项重要技能，特别是对于那些追求数学或科学高级研究的人。这提供了一种基础知识，增强了人们掌握更复杂数学概念的能力。总之，对数表不仅仅是一组数字；它是理解对数函数及其在各科学科中应用的一个入口。虽然现代技术使得进行对数计算变得更加容易，但对数表的历史意义和教育价值不可低估。它提醒我们数学工具的发展以及掌握数学基本概念的重要性。对数表的遗产继续影响我们今天在数学问题解决中的方法。