table of logarithms

简明释义

对数表

英英释义

例句

1.Students in mathematics classes use a table of logarithms (对数表) for solving exponential equations.

数学课上的学生使用对数表来解决指数方程。

2.A scientist might consult a table of logarithms (对数表) when analyzing data that involves exponential growth.

科学家在分析涉及指数增长的数据时，可能会查阅对数表。

3.In the past, engineers often referred to a table of logarithms (对数表) to simplify their calculations.

在过去，工程师们常常参考对数表来简化他们的计算。

4.When studying for the exam, I found my old table of logarithms (对数表) and it helped me understand the concepts better.

在备考时，我找到了我的旧对数表，这帮助我更好地理解了这些概念。

5.Before calculators were common, a table of logarithms (对数表) was essential for quick multiplication and division.

在计算器普及之前，对数表对于快速乘法和除法是必不可少的。

作文

The concept of logarithms is fundamental in mathematics, particularly in the fields of algebra and calculus. Logarithms provide a way to simplify complex calculations, especially when dealing with exponential growth or decay. One of the most useful tools for anyone studying mathematics is the table of logarithms, which serves as a reference guide for quickly finding the logarithmic values of numbers. A table of logarithms is essentially a chart that lists numbers alongside their corresponding logarithmic values, making it easier for students and professionals alike to perform calculations without needing to rely solely on calculators or logarithmic functions. Understanding how to use a table of logarithms can significantly enhance one’s mathematical skills. For instance, when multiplying large numbers, one can simply add their logarithmic values found in the table of logarithms instead of performing the multiplication directly. This property stems from the logarithmic identity that states log(a*b) = log(a) + log(b). Therefore, by using a table of logarithms, one can convert a difficult multiplication problem into a simpler addition problem. Moreover, the table of logarithms is not just limited to base 10 logarithms; it can also include natural logarithms (base e) and binary logarithms (base 2), among others. Each type of logarithm has its applications in various scientific fields. For example, in chemistry, the pH scale is logarithmic, and chemists often use tables of logarithms to quickly reference pH values. Similarly, in computer science, binary logarithms are crucial for analyzing algorithms and data structures. In historical contexts, tables of logarithms have played a significant role in the advancement of science and engineering. Before the advent of electronic calculators, engineers and scientists relied heavily on these tables to conduct calculations for their experiments and projects. The invention of logarithmic tables dates back to the early 17th century, pioneered by mathematicians like John Napier and Henry Briggs. Their work made calculations more accessible and less time-consuming, revolutionizing the way mathematical problems were solved. Today, while technology has provided us with calculators and software that can compute logarithms instantly, the table of logarithms still holds educational value. It helps students grasp the concept of logarithms and understand their properties better. By practicing with a table of logarithms, learners can develop a deeper appreciation for the relationship between multiplication and addition in logarithmic terms. In conclusion, the table of logarithms is an invaluable resource in both historical and modern contexts. It simplifies complex calculations, enhances learning, and serves as a bridge between theoretical mathematics and practical application. Whether in academic settings or professional environments, mastering the use of a table of logarithms can empower individuals to tackle mathematical challenges with confidence and efficiency.

对数的概念在数学中是基础性的，特别是在代数和微积分领域。对数提供了一种简化复杂计算的方法，尤其是在处理指数增长或衰减时。对于任何学习数学的人来说，对数表是一个非常有用的工具，它作为快速查找数字对数值的参考指南。对数表基本上是一个图表，它列出了数字及其对应的对数值，使学生和专业人士能够更轻松地进行计算，而不必完全依赖计算器或对数函数。理解如何使用对数表可以显著提高一个人的数学技能。例如，在乘法大数字时，人们可以简单地将它们在对数表中找到的对数值相加，而不是直接进行乘法。这一特性源于对数恒等式，即log(a*b) = log(a) + log(b)。因此，通过使用对数表，人们可以将一个困难的乘法问题转换为一个更简单的加法问题。此外，对数表不仅限于以10为底的对数；它还可以包括自然对数（以e为底）和二进制对数（以2为底）等。每种类型的对数在各个科学领域都有其应用。例如，在化学中，pH值是对数的，化学家们经常使用对数表快速参考pH值。同样，在计算机科学中，二进制对数对于分析算法和数据结构至关重要。在历史背景下，对数表在科学和工程的发展中发挥了重要作用。在电子计算器出现之前，工程师和科学家们在进行实验和项目计算时严重依赖这些表。对数表的发明可以追溯到17世纪初，由约翰·纳皮尔和亨利·布里吉斯等数学家开创。他们的工作使计算变得更加容易和省时，彻底改变了数学问题的解决方式。今天，虽然技术为我们提供了可以瞬间计算对数的计算器和软件，但对数表仍然具有教育价值。它帮助学生更好地掌握对数的概念和理解其属性。通过练习使用对数表，学习者可以更深入地理解乘法和加法在对数术语中的关系。总之，对数表在历史和现代背景中都是一种宝贵的资源。它简化了复杂的计算，增强了学习，并作为理论数学与实际应用之间的桥梁。无论是在学术环境中还是在专业环境中，掌握使用对数表可以使个人自信高效地应对数学挑战。