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Scholz’s First Conjecture: A Brief Demonstration

Scholz’s First Conjecture: A Brief Demonstration
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摘要 This paper presents a brief demonstration of Schulz’s first conjecture, which sets the upper and lower limits on the length of the shortest chain of addition. Two methods of the upper limit are demonstrated;the second one is based on the algorithm of one of the most popular methods for obtaining addition chains of a number, known as the binary method. This paper presents a brief demonstration of Schulz’s first conjecture, which sets the upper and lower limits on the length of the shortest chain of addition. Two methods of the upper limit are demonstrated;the second one is based on the algorithm of one of the most popular methods for obtaining addition chains of a number, known as the binary method.
作者 Jos&eacute M. Sautto Agustín Santiago Carlos N. Bouza Ver&oacute nica Campos JoséM. Sautto;Agustín Santiago;Carlos N. Bouza;Verónica Campos(Campus Costa Chica, Universidad Autónoma de Guerrero, Guerrero, México;Facultad de Matemáticas, Universidad Autónoma de Guerrero, Acapulco, México;Facultad de Matemática y Computación, Universidad de la Habana, Ciudad de La Habana, Cuba)
出处 《Applied Mathematics》 2016年第1期70-76,共7页 应用数学(英文)
关键词 Addition Chain EXPONENTIATION Short Chain Scholz’s Conjecture Binary Method Addition Chain Exponentiation Short Chain Scholz’s Conjecture Binary Method
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