Euclidean algorithm

juːˈklɪdiən ˈælɡəˌrɪðəm
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Translation of Euclidean algorithm from English into Chinese

Noun

1.

number theory

TECH.
method to find greatest common divisor of integers
TECH.
欧几里得算法 Ōu jǐlǐdé suànfǎ
  • The Euclidean algorithm is used to find the GCD of 48 and 18.欧几里得算法用于求48和18的最大公约数。
2.

history

TECH.
algorithm described in Euclid's Elements
TECH.
欧几里得算法 Ōu jǐ lǐ dé suànfǎ
  • The Euclidean algorithm was first introduced in Euclid's Elements.欧几里得算法首次在欧几里得的《几何原本》中被介绍。
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Examples of Euclidean algorithm in a sentence

  • The Euclidean algorithm simplifies finding common divisors in complex problems.
  • Students learn the Euclidean algorithm in mathematics class.
  • The Euclidean algorithm is fundamental in number theory.

Translations of "Euclidean algorithm" in Context ordered by category and frequency

Euclidean算法 - Euclidean suàn fǎ

The following year he wrote on number theory, making a contribution to the theory of the Euclidean algorithm.

第二年,他写的一些理论, 作出贡献的理论Euclidean算法 。

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Euclidean algorithm: Examples and translations in context

In particular book seven is a self-contained introduction to number theory and contains the Euclidean algorithm for finding the greatest common divisor of two numbers.

特别是七本书是一个自给自足的介绍一些理论和包含Euclidean算法 找到最大公约数的两个数字。

The method here is essentially the use of the Euclidean algorithm to find the highest common factor of a and b but is also related to continued fractions.

这里的方法基本上是使用Euclidean算法找到最高的共同因素, A和B ,但也关系到持续分数。

He also did important work on differential geometry and, in another contribution to number theory, he showed that the number of divisions in the Euclidean algorithm never exceeds five times the number of digits in the smaller number.

他还重要工作, 微分 几何,并在另一贡献, 数论 ,他发现,一些部门在Euclidean算法 从来没有超过5倍位数的人数较少。

The proof is very typical of Motzkin in that the Euclidean algorithm is given a new formulation, which at first seems to be leading away from the problem at hand, but is suddenly seen to be the decisive key to its solution.

证明是非常典型的Motzkin的,因为Euclidean算法给出了一个新的提法,这首似乎是领导远离手头上的问题,但突然被视为决定性的关键,其解决办法。

While at Bristol he worked on the Euclidean algorithm (norm function) in a general setting having already proved while at Cambridge that there are only finitely many real quadratic fields with a Euclidean algorithm.

虽然在布里斯托尔,他的欧几里德算法( 规范功能)在一般设置已经证明,而在剑桥,只有有限的许多实二次域与Euclidean算法。

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