Examples of using Euclidean algorithm in English and their translations into Serbian
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This may be done using the Euclidean algorithm.
The validity of the Euclidean algorithm can be proven by a two-step argument.
This can be found using the Euclidean algorithm.
The Euclidean algorithm is one of the oldest algorithms in common use.
This is easily done using the Euclidean Algorithm.
Apply Euclidean algorithm, and let qn(n starts from 1) be a finite list of quotients in the division.
These can be found by applying the extended Euclidean algorithm.
The Euclidean algorithm, which computes the greatest common divisor of two integers, can be written recursively.
This is usually used as the base case in the Euclidean algorithm.
For illustration, the Euclidean algorithm can be used to find the greatest common divisor of a= 1071 and b= 462.
Numbers p andq like this can be computed with the extended Euclidean algorithm.
This description looks like a normal Euclidean algorithm, but there is ambiguity in the phrase"if possible halve it".
The standard example of conditional execution is the subtraction-based Euclidean algorithm.
At every step k, the Euclidean algorithm computes a quotient qk and remainder rk from two numbers rk- 1 and rk- 2.
Find the greatest common divisor of two integers using the Euclidean algorithm.
A prototypical example of an algorithm is the Euclidean algorithm to determine the maximum common divisor of two integers.
Write a program to calculate highest common factor of two integers using the Euclidean algorithm.
In the closing decades of the 19th century, the Euclidean algorithm gradually became eclipsed by Dedekind's more general theory of ideals.
The Euclidean algorithm is the granddaddy of all algorithms, because it is the oldest nontrivial algorithm that has survived to the present day.
When the seating chart at your wedding looks more like a euclidean Algorithm than a ding hall, you know you've got something seriously wrong.
The Euclidean algorithm was the first integer relation algorithm, which is a method for finding integer relations between commensurate real numbers.
These are combinations of one step of the simple Euclidean algorithm, which uses subtraction at each step, and an application of step 3 above.
Lejeune Dirichlet noted that many results of number theory, such as unique factorization,would hold true for any other system of numbers to which the Euclidean algorithm could be applied.
In each step k of the Euclidean algorithm, the quotient qk and remainder rk are computed for a given pair of integers rk- 2 and rk- 1.
The multiplicative inverse of an element may be computed by using the extended Euclidean algorithm(see Extended Euclidean algorithm§ Modular integers).
In the 19th century, the Euclidean algorithm led to the development of new number systems, such as Gaussian integers and Eisenstein integers.
The multiplicative inverse of an element may be computed by using the extended Euclidean algorithm(see Extended Euclidean algorithm§ Modular integers).
The extended Euclidean algorithm is particularly useful when a and b are coprime, since x is the modular multiplicative inverse of a modulo b.
Stein's algorithm uses simpler arithmetic operations than the conventional Euclidean algorithm; it replaces division with arithmetic shifts, comparisons, and subtraction.
The Extended Euclidean Algorithm is particularly useful when a and b are coprime, since x is the multiplicative inverse of a modulo b, and y is the multiplicative inverse of b modulo a.