Sentence examples for numeration system from inspiring English sources

To accelerate modular exponentiation for very large integers one may use repeated squaring, which is based on representing the exponent in the standard binary numeration system.

For reasons that are still unclear, explications of the mathematical knowledge presupposed by The Nine Chapters (such as the numeration system and arithmetic operations) first appeared in later books that eventually were included in the "Ten Classics of Mathematics".

Among all sequences that satisfy a divide-and-conquer recurrence, those which are rational with respect to a numeration system are certainly the most basic and the most essential.

In her seminal books "Ethnomathematics" and "Mathematics Elsewhere," Marcia Ascher, emerita professor of mathematics at Ithaca College, chronicles the astonishingly complex data-storage systems embedded in quipu, bundles of cotton cord knotted by Incans according to a sophisticated base-10 numeration system.

Here we identify ({0, 1}^omega ) with the unit interval [0, 1] via real binary numeration system.

end{aligned}This wreath recursion describes the process of adding 1 to a dyadic numbers in the binary numeration system with digits 0 and 3.

They generalize well-known numeration systems such as beta-expansions, expansions with respect to rational bases, and canonical number systems.

This latter branch was undoubtedly stimulated by the flexibility of the Indian system of numeration that later was to come into the West as the Hindu-Arabic numerals.

These many occupations did not stop his work in mathematics: In March 1679 he perfected the binary system of numeration (i.e., using two as a base), and at the end of the same year he proposed the basis for analysis situs, now known as general topology, a branch of mathematics that deals with selected properties of collections of related physical or abstract elements.

He imagined that Unity represented God, and Zero the void; that the Supreme Being drew all beings from the void, just as unity and zero express all numbers in the binary system of numeration.

The Mathematics EOG consists of multiple choice questions that cover a) number sense, numeration, and numerical operations; b) spatial sense, measurement, and geometry; c) patterns, relationships, and functions; and d) data, probability, and statistics (North Carolina Public Schools 2004).