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  2. Modulo - Wikipedia

    en.wikipedia.org/wiki/Modulo

    [1] For example, the expression "5 mod 2" evaluates to 1, because 5 divided by 2 has a quotient of 2 and a remainder of 1, while "9 mod 3" would evaluate to 0, because 9 divided by 3 has a quotient of 3 and a remainder of 0. Although typically performed with a and n both being integers, many computing systems now allow other types of numeric ...

  3. Modular arithmetic - Wikipedia

    en.wikipedia.org/wiki/Modular_arithmetic

    Adding 4 hours to 9 o'clock gives 1 o'clock, since 13 is congruent to 1 modulo 12. In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" when reaching a certain value, called the modulus. The modern approach to modular arithmetic was developed by Carl Friedrich Gauss in his book Disquisitiones ...

  4. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    [2] [3] Historically, the concept of a proof and its associated mathematical rigour first appeared in Greek mathematics , most notably in Euclid 's Elements . [ 4 ] Since its beginning, mathematics was primarily divided into geometry and arithmetic (the manipulation of natural numbers and fractions ), until the 16th and 17th centuries, when ...

  5. Homework - Wikipedia

    en.wikipedia.org/wiki/Homework

    A 2019 nationally representative survey of 95,505 freshmen at U.S. colleges, conducted by the UCLA Higher Education Research Institute, asked respondents, "During your last year in high school, how much time did you spend during a typical week studying/doing homework?" 1.9% of respondents said none, 7.4% said less than one hour, 19.5% said 1 ...

  6. Fibonacci sequence - Wikipedia

    en.wikipedia.org/wiki/Fibonacci_sequence

    In mathematics, the Fibonacci sequence is a sequence in which each number is the sum of the two preceding ones. Numbers that are part of the Fibonacci sequence are known as Fibonacci numbers, commonly denoted Fn . Many writers begin the sequence with 0 and 1, although some authors start it from 1 and 1 [1][2] and some (as did Fibonacci) from 1 ...

  7. The Ducks are up one to No. 2 while the Buckeyes drop one spot to No. 3, ahead of No. 4 Penn State and No. 5 Georgia. Iowa State steps up to No. 6 after winning at West Virginia, pushing Miami ...

  8. Primitive root modulo n - Wikipedia

    en.wikipedia.org/wiki/Primitive_root_modulo_n

    In modular arithmetic, a number g is a primitive root modulo n if every number a coprime to n is congruent to a power of g modulo n. That is, g is a primitive root modulo n if for every integer a coprime to n, there is some integer k for which gk ≡ a (mod n). Such a value k is called the index or discrete logarithm of a to the base g modulo n.

  9. Three-part lesson - Wikipedia

    en.wikipedia.org/wiki/Three-part_lesson

    Three-part lesson. A three-part lesson is an inquiry-based learning method used to teach mathematics in K–12 schools. The three-part lesson has been attributed to John A. Van de Walle, a mathematician at Virginia Commonwealth University. [1][2]