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Literary notes about divisor (AI summary)

The word “divisor” finds varied application in literature, often highlighting its mathematical importance in different contexts. In some texts, it appears in discussions of the greatest common divisor—a key concept in number theory—as seen in [1], where its omission implies a broader neglect of a fundamental arithmetic principle. In more focused mathematical expositions, the term is used to describe numbers or expressions that divide another, such as in [2] where an entity is labeled “such a divisor,” and in [3], where a specific number [4] is identified as the divisor that produces a consistent remainder. Additionally, the concept extends beyond simple numeric division; in [5], “divisor” is applied to polynomial division, emphasizing its role in algebraic operations even when variables are involved. These examples collectively illustrate the term's versatility, spanning both theoretical and applied mathematics in literary descriptions.
  1. But this last subject being omitted, the greatest common divisor is likewise dispensed with.
    — from The Declaration of Independence of the United States of America by Thomas Jefferson
  2. On trial we find that this is such a divisor.
    — from Amusements in Mathematics by Henry Ernest Dudeney
  3. Therefore, 179 is the divisor we want, which always leaves a remainder 164 in the case of the original numbers given.
    — from Amusements in Mathematics by Henry Ernest Dudeney
  4. How to know if the operation will not terminate.—Division of polynomials when the dividend contains a letter which is not found in the divisor.
    — from The Declaration of Independence of the United States of America by Thomas Jefferson

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