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Euclidean algorithm in a sentence


1) This is done by the extended Euclidean algorithm .

algorithm collocations
2) The Euclidean algorithm has a close relationship with continued fractions.

3) It follows that both extended Euclidean algorithms are widely used in cryptography.



Euclidean algorithm example sentences

4) This can be done by the Euclidean algorithm , polynomial case.

5) The Euclidean algorithm may be used to find this GCD efficiently.

6) For example, it requires the use of the extended Euclidean algorithm .

7) Using the extended Euclidean algorithm we can find __FORMULA__ such that __FORMULA__.

8) The real-number Euclidean algorithm differs from its integer counterpart in two respects.

9) The Euclidean algorithm is a method which works for any pair of polynomials.

10) The Euclidean algorithm is one of the oldest algorithms still in common use.

11) If the starting number is rational then this process exactly parallels the Euclidean algorithm .

12) This equation can be solved by the Euclidean algorithm , as described above.

13) However, the Euclidean algorithm fails for multidimensional (MD) filters.

14) These algorithms exploit the 2×2 matrix form of the Euclidean algorithm given above.

15) The Euclidean algorithm has three general features that together ensure it will not continue indefinitely.



example sentences with Euclidean algorithm

16) Euclidean domains are integral domains in which the Euclidean algorithm can be carried out.

17) An interesting early case is that of what we now call the Euclidean algorithm .

18) The validity of the Euclidean algorithm can be proven by a two-step argument.

19) This process can be efficiently implemented using the Euclidean algorithm when the number is rational.

20) The Euclidean algorithm has almost the same relationship to the Calkin-Wilf tree.

21) The corresponding conclusions about the Euclidean algorithm and its applications hold even for such polynomials.

22) Let __FORMULA__ denote the multiplicative inverse of __FORMULA__ given by the Extended Euclidean algorithm .

23) Many of the other applications of the Euclidean algorithm carry over to Gaussian integers.

24) It is so named because the Euclidean algorithm is a well-defined algorithm in these rings.

25) The average number of steps taken by the Euclidean algorithm has been defined in three different ways.

26) The oldest algorithm known today is the Euclidean algorithm (see also Extended Euclidean algorithm).

27) The oldest algorithm known today is the Euclidean algorithm (see also Extended Euclidean algorithm ).

28) Extended Euclidean algorithm is also the main tool for computing multiplicative inverses in simple algebraic field extensions.



How to use Euclidean algorithm in a sentence

29) Toussaint uses geometry and the Euclidean algorithm as a means of exploring the significance of clave.

30) The Euclidean algorithm gives a method for finding the greatest common divisor of any two positive integers.

31) An important generalization of the Euclidean algorithm is the concept of a Gröbner basis in algebraic geometry.

32) The Euclidean algorithm has been generalized further to other mathematical structures, such as knots and multivariate polynomials.

33) If the two integers have a common factor, it can be eliminated using the Euclidean algorithm .

34) Continued fractions have a number of remarkable properties related to the Euclidean algorithm for integers or real numbers.

35) The Euclidean algorithm , which computes the greatest common divisor of two integers, can be written recursively.

36) For 1-D oversampled FIR filter banks, the Euclidean algorithm plays a key role in the matrix inverse problem.

37) The Euclidean algorithm can be visualized in terms of the tiling analogy given above for the greatest common divisor.

38) It is also possible to apply the Euclidean algorithm to noncommutative rings such as the set of Hurwitz quaternions.

39) For example, the Euclidean algorithm gives a precise process to compute the greatest common divisor of two positive integers.

40) It is generally faster than the Euclidean algorithm on real computers, even though it scales in the same way.



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