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  2. Multiplicative group of integers modulo n - Wikipedia

    en.wikipedia.org/wiki/Multiplicative_group_of...

    Integer multiplication respects the congruence classes, that is, a ≡ a' and b ≡ b' (mod n) implies ab ≡ a'b' (mod n). This implies that the multiplication is associative, commutative, and that the class of 1 is the unique multiplicative identity. Finally, given a, the multiplicative inverse of a modulo n is an integer x satisfying ax ≡ ...

  3. Multiplicative order - Wikipedia

    en.wikipedia.org/wiki/Multiplicative_order

    The multiplicative order of a number a modulo n is the order of a in the multiplicative group whose elements are the residues modulo n of the numbers coprime to n, and whose group operation is multiplication modulo n. This is the group of units of the ring Z n; it has φ(n) elements, φ being Euler's totient function, and is denoted as U(n) or ...

  4. Multiplication table - Wikipedia

    en.wikipedia.org/wiki/Multiplication_table

    In mathematics, a multiplication table (sometimes, less formally, a times table) is a mathematical table used to define a multiplication operation for an algebraic system. The decimal multiplication table was traditionally taught as an essential part of elementary arithmetic around the world, as it lays the foundation for arithmetic operations ...

  5. Modular arithmetic - Wikipedia

    en.wikipedia.org/wiki/Modular_arithmetic

    Time-keeping on this clock uses arithmetic modulo 12. 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.

  6. Montgomery modular multiplication - Wikipedia

    en.wikipedia.org/wiki/Montgomery_modular...

    When R is a power of a small positive integer b, N′ can be computed by Hensel's lemma: The inverse of N modulo b is computed by a naïve algorithm (for instance, if b = 2 then the inverse is 1), and Hensel's lemma is used repeatedly to find the inverse modulo higher and higher powers of b, stopping when the inverse modulo R is known; N′ is ...

  7. La Castellana, Caracas - Wikipedia

    en.wikipedia.org/wiki/La_Castellana,_Caracas

    San Ignacio Center aerial view, located in La Castellana [1]. La Castellana is a district in Caracas, Venezuela, located in the northeast part of the city, La Castellana is bordered on the south by Chacao, on the east by Altamira (Caracas) neighbourhood, on the west by Caracas Country Club and Campo Alegre neighbourhood and on the north by El Ávila National Park.

  8. Colegio Internacional de Caracas - Wikipedia

    en.wikipedia.org/wiki/Colegio_Internacional_de...

    Colegio Internacional de Caracas (CIC) is a private English language school located in Caracas, Venezuela, serving the educational needs of students from pre-nursery through high school. CIC is accredited by the Southern Association of Colleges and Schools (SACS – AdvancED - Cognia) and by the International Baccalaureate Organization in its ...

  9. Talk:Multiplication table - Wikipedia

    en.wikipedia.org/wiki/Talk:Multiplication_table

    The invention, however is the complete solution for the puzzle, it makes children no need to remember any multiplication statements in the times table. We've used transformed 1st circle to indicate the total carriers (as 2017's picture marked the 1st digit differently), and then ask children to find the 3 group of lines with sum up as total ...