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Longer titles found: Extended Euclidean algorithm (view)

searching for Euclidean algorithm 23 found (188 total)

Routh–Hurwitz stability criterion (3,155 words) [view diff] exact match in snippet view article find links to article

roots directly. The Routh test can be derived through the use of the Euclidean algorithm and Sturm's theorem in evaluating Cauchy indices. Hurwitz derived

Helaman Ferguson (595 words) [view diff] exact match in snippet view article find links to article

relation detection. It was the first viable generalization of the Euclidean algorithm for three or more variables. He later developed a more notable integer

Feedback with Carry Shift Registers (1,077 words) [view diff] exact match in snippet view article find links to article

N-adic numbers when N = 2 {\displaystyle N=2} ; by a variant of the Euclidean algorithm when N is prime; and in general by Xu's adaptation of the Berlekamp-Massey

Sturm's theorem (2,807 words) [view diff] exact match in snippet view article find links to article

divisors. This amounts to replacing the remainder sequence of the Euclidean algorithm by a pseudo-remainder sequence, a pseudo remainder sequence being

Theodore Motzkin (661 words) [view diff] exact match in snippet view article find links to article

Press. pp. 51–73. MR 0060202. Motzkin, Th (December 1949). "The Euclidean algorithm". Bulletin of the American Mathematical Society. 55 (12): 1142–1146

Okamoto–Uchiyama cryptosystem (1,172 words) [view diff] case mismatch in snippet view article find links to article

a} and b {\displaystyle b} will be integers. Using the Extended Euclidean Algorithm, compute the inverse of b {\displaystyle b} modulo p {\displaystyle

Routh–Hurwitz theorem (654 words) [view diff] exact match in snippet view article find links to article

generalized Sturm chain obtained from P0(y) and P1(y) by applying the Euclidean algorithm; I+∞ −∞ r is the Cauchy index of the rational function r over the

Khagaul (1,173 words) [view diff] exact match in snippet view article find links to article

problems with successively smaller coefficients—essentially the Euclidean algorithm and related to the method of continued fractions. With Kala-kriya

John B. Cosgrave (667 words) [view diff] case mismatch in snippet view article find links to article

Science students). Cosgrave, John B. From divisibility by 6 to the Euclidean Algorithm and the RSA cryptographic method, The American Mathematical Association

Regular chain (1,413 words) [view diff] case mismatch in snippet view article find links to article

Symb. Comput. 26(5): 525–581 (1998). M. Kalkbrener: A Generalized Euclidean Algorithm for Computing Triangular Representations of Algebraic Varieties.

Binary Goppa code (1,154 words) [view diff] exact match in snippet view article find links to article

{\displaystyle a(x)} and b ( x ) {\displaystyle b(x)} using the extended euclidean algorithm, so that a ( x ) ≡ b ( x ) ⋅ v ( x ) mod g ( x ) {\displaystyle a(x)\equiv

Malcolm J. Williamson (483 words) [view diff] case mismatch in snippet view article find links to article

Encryption Using a Finite Field" (A couple of typos in this pdf: Extended Euclidean Algorithm modulus should be (p-1) instead of p. Enc and Dec are performed using

Triangular decomposition (1,610 words) [view diff] case mismatch in snippet view article find links to article

pp. 14715, Oxford University Press. M. Kalkbrener: A Generalized Euclidean Algorithm for Computing Triangular Representations of Algebraic Varieties.

Ring theory (3,093 words) [view diff] exact match in snippet view article find links to article

the integers. Euclidean domains are integral domains in which the Euclidean algorithm can be carried out. Important examples of commutative rings can be

Hermite normal form (1,870 words) [view diff] case mismatch in snippet view article find links to article

Computing. 8 (4): 499–507. doi:10.1137/0208040. ISSN 0097-5397. "Euclidean Algorithm and Hermite Normal Form". 2 March 2010. Archived from the original

Filter bank (5,930 words) [view diff] exact match in snippet view article find links to article

oversampled FIR filter banks, the Euclidean algorithm plays a key role in the matrix inverse problem. However, the Euclidean algorithm fails for multidimensional

Blum–Goldwasser cryptosystem (2,131 words) [view diff] case mismatch in snippet view article find links to article

{\displaystyle u_{q}=x^{d_{q}}{\bmod {q}}} . Using the Extended Euclidean Algorithm, compute r p {\displaystyle r_{p}} and r q {\displaystyle r_{q}}

Resultant (8,057 words) [view diff] exact match in snippet view article find links to article

A-CB)=b_{0}^{e+f-d}\operatorname {res} (B,A).} These properties imply that in the Euclidean algorithm for polynomials, and all its variants (pseudo-remainder sequences)

Multirate filter bank and multidimensional directional filter banks (4,934 words) [view diff] exact match in snippet view article find links to article

oversampled FIR filter banks, the Euclidean algorithm plays a key role in the matrix inverse problem. However, the Euclidean algorithm fails for multidimensional

Casus irreducibilis (3,405 words) [view diff] exact match in snippet view article find links to article

the polynomial and its derivative, which can be computed with the Euclidean algorithm for polynomials. It follows that the three roots are real, and if

Shamir's secret sharing (4,335 words) [view diff] exact match in snippet view article find links to article

B such that A*B % p == 1). This can be computed via the extended Euclidean algorithm http://en.wikipedia.org/wiki/Modular_multiplicative_inverse#Computation

Schwarz triangle (10,933 words) [view diff] exact match in snippet view article find links to article

A second approach relies on the modular group G = SL(2,Z). The Euclidean algorithm implies that this group is generated by the matrices S = ( 0 1 −

Real-root isolation (4,602 words) [view diff] exact match in snippet view article find links to article

sequence is the sequence of remainders that occur in a variant of Euclidean algorithm applied to the polynomial and its derivatives. When implemented on