divisor

简明释义

英[dɪˈvaɪzə(r)]美[dɪˈvaɪzər]

n. 除数；因子

英英释义

单词用法

同义词

反义词

例句

1.This article shows the best industrial staining art with quasi -divisor design.

本文运用拟因子设计给出了最佳染色工艺。

2.The process of dividing one number by another without writing down all the steps, especially when the divisor is a single digit.

一个数被另一个数所除，但不写下所有步骤的过程，尤其当除数是一位数时。

3.Use Euclid's algorithm to compute the greatest common divisor of 7735 and 4185.

适用欧几里德算法来计算7735和4185的最大公约数。

4.In this paper, we will completely characterize all power endomorphisms of rings without zero divisor.

本文将完全刻划出无零因子环的所有幂自同态。

5.Seek cooperation will take care of each other's interests and concerns, the greatest common divisor of cooperation.

要合作就要照顾彼此利益和关切，寻求合作最大公约数。

6.The above condition is easy to satisfy in a topology where the number of RAC nodes is a divisor of the number of WebSphere cluster members.

在RAC节点数量是WebSphere集群成员数的约数的情况下，上述条件很容易满足。

7.If there are several flights that depart from one airport then the greatest common divisor of their flight Numbers should be equal to 1.

如果有几条航线和同一个机场相关联，那么这些航线编号的最大公约数必须等于1。

8.The five-pixel line divisor will be overwritten later as a white separator between pie slices in the image.

五个像素的线分区稍后将被重写为图像中饼图分区之间的白色分隔符。

9.A process of division in arithmetic, usually used when the divisor is a large number, in which each step of the division is written out.

数学中一种除法运算，通常当除数为大数时使用，在运算中每一步都被写出来。

10.When you find the divisor of a number, you are looking for all the numbers that can evenly divide it.

当你寻找一个数字的因数时，你是在寻找所有可以均匀整除它的数字。

11.The smallest divisor of any integer greater than 1 is always 1.

任何大于1的整数的最小因数总是1。

12.In mathematics, a number is called a divisor if it can divide another number without leaving a remainder.

在数学中，如果一个数字能够整除另一个数字而不留下余数，则该数字称为因数。

13.The number 6 is a divisor of 36 because 36 divided by 6 equals 6.

数字6是36的因数，因为36除以6等于6。

14.In programming, you might need to check if a number is a divisor of another in order to perform certain calculations.

在编程中，你可能需要检查一个数字是否是另一个数字的因数，以便执行某些计算。

作文

In mathematics, the concept of a divisor (因数) is fundamental to understanding how numbers interact with each other. A divisor is defined as a number that divides another number completely, meaning that when you divide one number by a divisor, there is no remainder. For example, if we take the number 10, its divisors are 1, 2, 5, and 10. Each of these numbers can divide 10 without leaving a remainder, which is the defining characteristic of a divisor.Understanding divisors is crucial not only in basic arithmetic but also in more advanced mathematical concepts such as fractions, ratios, and even algebra. When we factor numbers, we are essentially finding their divisors. For instance, if we want to factor the number 12, we can break it down into its divisors: 1, 2, 3, 4, 6, and 12. This process of factoring allows us to simplify complex problems and find solutions more easily.Moreover, the concept of divisors extends beyond simple arithmetic; it plays a significant role in number theory, which is a branch of mathematics devoted to the study of integers and their properties. One of the fascinating aspects of divisors is the relationship between them and prime numbers. A prime number is defined as a natural number greater than 1 that has no positive divisors other than 1 and itself. For example, the number 7 is prime because its only divisors are 1 and 7. Understanding this relationship helps mathematicians explore deeper theories and theorems within number theory, including the fundamental theorem of arithmetic, which states that every integer greater than 1 can be uniquely factored into prime numbers.In practical applications, the concept of divisors can be seen in various fields, including computer science, cryptography, and engineering. For instance, in computer algorithms, understanding divisors can aid in optimizing processes, such as finding the greatest common divisor (GCD) of two numbers, which is crucial in simplifying fractions or solving problems involving ratios. In cryptography, divisors play a key role in encryption algorithms, where the security of data often relies on the difficulty of factoring large numbers into their divisors.Furthermore, the exploration of divisors can lead to interesting mathematical puzzles and challenges. For example, consider the problem of finding all the divisors of a number and determining how many divisors it has. This type of problem can be both engaging and educational, allowing students to develop critical thinking and problem-solving skills. Additionally, it encourages a deeper appreciation for the beauty and complexity of mathematics.In conclusion, the term divisor (因数) encompasses a wide array of mathematical concepts and applications. From basic arithmetic to advanced number theory, divisors are integral to our understanding of numbers and their relationships. Whether we are simplifying fractions, exploring prime numbers, or applying mathematical principles in real-world scenarios, the significance of divisors cannot be overstated. Therefore, mastering the concept of divisors is essential for anyone looking to deepen their knowledge of mathematics and its applications in various fields.

在数学中，divisor（因数）这一概念对于理解数字之间的相互作用至关重要。divisor被定义为一个可以完全整除另一个数字的数字，这意味着当你用一个数字去除以一个divisor时，没有余数。例如，如果我们取数字10，它的divisors是1、2、5和10。这些数字都可以整除10而不留下余数，这是divisor的定义特征。理解divisors不仅在基础算术中至关重要，而且在更高级的数学概念中，如分数、比例甚至代数中也非常重要。当我们对数字进行因式分解时，我们实质上是在寻找它们的divisors。例如，如果我们想对数字12进行因式分解，我们可以将其分解为它的divisors：1、2、3、4、6和12。这种因式分解的过程使我们能够简化复杂问题，更容易找到解决方案。此外，divisors的概念不仅限于简单的算术；它在数论中发挥着重要作用，数论是一个致力于研究整数及其性质的数学分支。divisors的一个迷人方面是它们与素数之间的关系。素数被定义为大于1的自然数，除了1和它本身没有其他正divisors。例如，数字7是素数，因为它唯一的divisors是1和7。理解这种关系帮助数学家探索数论中的更深层次理论和定理，包括算术基本定理，该定理指出每个大于1的整数都可以唯一地分解为素数。在实际应用中，divisors的概念可以在多个领域中看到，包括计算机科学、密码学和工程。例如，在计算机算法中，理解divisors可以帮助优化过程，例如找到两个数字的最大公约数（GCD），这在简化分数或解决涉及比例的问题时至关重要。在密码学中，divisors在加密算法中起着关键作用，数据的安全性往往依赖于将大数字分解为其divisors的难度。此外，探索divisors可以引发有趣的数学难题和挑战。例如，考虑找出一个数字的所有divisors并确定它有多少个divisors的问题。这类问题既引人入胜又具有教育意义，让学生发展批判性思维和解决问题的能力。此外，它还鼓励人们对数学的美丽和复杂性有更深的欣赏。总之，术语divisor（因数）涵盖了广泛的数学概念和应用。从基础算术到高级数论，divisors在我们理解数字及其关系中是不可或缺的。无论我们是在简化分数、探索素数，还是在现实场景中应用数学原理，divisors的重要性都不容小觑。因此，掌握divisors的概念对于任何希望加深对数学及其在各个领域应用知识的人来说都是必不可少的。