Examples of using Euclidean algorithm in English and their translations into Portuguese
{-}
-
Colloquial
-
Official
-
Medicine
-
Financial
-
Ecclesiastic
-
Ecclesiastic
-
Computer
-
Official/political
The Euclidean algorithm has many theoretical and practical applications.
The name Euclid's orchard is derived from the Euclidean algorithm.
The Euclidean algorithm is one of the oldest algorithms in common use.
In this section, you have access to two applets about the Euclidean Algorithm.
The Euclidean algorithm for computing the greatest common divisor of two integers is one example.
Later, I wrote the code for the so-called extended Euclidean algorithm.
We see now that the Euclidean algorithm always gives a common divisor which is the maximum for\\trianglelefteq\.
Another applet allows us to see a geometrical interpretation of the Euclidean algorithm.
With the answers to these questions we can eventually see the Euclidean algorithm to find the greatest common divisor of two numbers.
Here you find an applet which gives a geometrical interpretation of the Euclidean algorithm.
When the seating chart at your wedding looks more like a euclidean algorithm than a ding hall, you know you have got something seriously wrong.
Moreover, we have studied some arithmetic properties of integers,as well as the magnificent euclidean algorithm.
From there, we will establish the euclidean algorithm for the calculation of the mdc and the extended euclidean algorithm, developed by d. e. knuth.
The Euclidean algorithm is based on the principle that the greatest common divisor of two numbers does not change if the larger number is replaced by its difference with the smaller number.
Finally we introduce several problems that are solved using least common multiple andgreatest common divisor and the euclidean algorithm.
By applying the extended Euclidean algorithm, we wish to find y p{\displaystyle y_{p}} and y q{\displaystyle y_{q}} such that y p⋅ p+ y q⋅ q 1{\displaystyle y_{p}\cdot p+y_{q}\cdot q=1.
Having the division algorithm for the Gaussian integers,we can now use the Euclidean Algorithm to find a greatest common divisor.
The Euclidean algorithm was first described in Europe in the second edition of Bachet's"Problèmes plaisants et délectables""Pleasant and enjoyable problems", 1624.
Will be addressed, such as introduction to the work of prof. carlos wilson vieira da silva topics severability,greatest common divisor(mdc), euclidean algorithm and diophantine equations.
The extended Euclidean algorithm was published by the English mathematician Nicholas Saunderson, who attributed it to Roger Cotes as a method for computing continued fractions efficiently.
Examples include the decision problem forms of finding the greatest common divisor of two numbers, anddetermining what answer the extended Euclidean algorithm would return when given two numbers.
The reader will find in this paper divisibility topics, primes, maximum common divisor,common minimum minimum, euclidean algorithm, congruences, decimal representation, divisibility tests, plus several examples, challenging problems and also curiosities about congruence module 9.
Central tenets of modern control systems theory relies upon the Routh stability criterion,an application of Sturm's Theorem to evaluate Cauchy indices through the use of the Euclidean algorithm.
One of them shows a geometrical interpretation of the algorithm, while the other allows you to follow the application of the Euclidean algorithm to the calculation of the greatest common divisor of two numbers step by step.
This work aims to identify the rules of the division algorithm by citing the pcns and brief history where students andteachers have difficulties in performing the division operation by the euclidean algorithm.
Often algorithms for those problems had to be separately invented andcould not be naïvely adapted from well-known algorithms- Gaussian elimination and Euclidean algorithm rely on operations performed in sequence.
Central tenets of modern control systems theory relied upon the Routh stability criterion(though nowadays due to modern computers it is not as important),an application of Sturm's Theorem to evaluate Cauchy indices through the use of the Euclidean algorithm.
We begin with a brief summary about integer numbers, their basic operations, also recalling the concept of prime numbers, where the sieve of eratosthenes is presented; the lcm(least common multiple) andthe gcd(greatest common divisor), along with the euclidean algorithm.