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  2. 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 ...

  3. Modulo - Wikipedia

    en.wikipedia.org/wiki/Modulo

    In mathematics, the result of the modulo operation is an equivalence class, and any member of the class may be chosen as representative; however, the usual representative is the least positive residue, the smallest non-negative integer that belongs to that class (i.e., the remainder of the Euclidean division ). [ 2]

  4. Three-body problem - Wikipedia

    en.wikipedia.org/wiki/Three-body_problem

    Three-body problem. Approximate trajectories of three identical bodies located at the vertices of a scalene triangle and having zero initial velocities. The center of mass, in accordance with the law of conservation of momentum, remains in place. In physics, specifically classical mechanics, the three-body problem involves taking the initial ...

  5. Theory of knowledge (IB course) - Wikipedia

    en.wikipedia.org/wiki/Theory_of_knowledge_(IB...

    Theory of knowledge (IB course) Theory of Knowledge (TOK) is a compulsory core subject of the International Baccalaureate Diploma Programme covering, for example, epistemological topics. [ 1] It is marked on a letter scale (A-E) and aims to "provide an opportunity for students to reflect on the nature of knowledge, and on how we know what we ...

  6. Multiplicative group of integers modulo n - Wikipedia

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

    In modular arithmetic, the integers coprime (relatively prime) to n from the set of n non-negative integers form a group under multiplication modulo n, called the multiplicative group of integers modulo n. Equivalently, the elements of this group can be thought of as the congruence classes, also known as residues modulo n, that are coprime to n .

  7. IB Group 4 subjects - Wikipedia

    en.wikipedia.org/wiki/IB_Group_4_subjects

    t. e. The Group 4: Experimental sciences subjects of the International Baccalaureate Diploma Programme comprise the main scientific emphasis of this internationally recognized high school programme. They consist of seven courses, five of which are offered at both the Standard Level (SL) and Higher Level (HL): Chemistry, Biology, Physics, Design ...

  8. Modular multiplicative inverse - Wikipedia

    en.wikipedia.org/wiki/Modular_multiplicative_inverse

    Modular multiplicative inverse. In mathematics, particularly in the area of arithmetic, a modular multiplicative inverse of an integer a is an integer x such that the product ax is congruent to 1 with respect to the modulus m. [ 1] In the standard notation of modular arithmetic this congruence is written as.

  9. IB Middle Years Programme - Wikipedia

    en.wikipedia.org/wiki/IB_Middle_Years_Programme

    The International Baccalaureate Middle Years Programme (MYP) is an educational programme for students between the ages of 11 and 16 around the world as part of the International Baccalaureate (IB) continuum. Middle Year Programme is intended to prepare students for the two-year IB Diploma Programme. [1] It is used by 1,358 schools in 108 countries.

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