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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. Luhn algorithm - Wikipedia

    en.wikipedia.org/wiki/Luhn_algorithm

    Luhn algorithm. The Luhn algorithm or Luhn formula, also known as the " modulus 10" or "mod 10" algorithm, named after its creator, IBM scientist Hans Peter Luhn, is a simple check digit formula used to validate a variety of identification numbers. It is described in US patent 2950048A, granted on 23 August 1960. [ 1]

  4. Modulo - Wikipedia

    en.wikipedia.org/wiki/Modulo

    In computing, the modulo operation returns the remainder or signed remainder of a division, after one number is divided by another, called the modulus of the operation.. Given two positive numbers a and n, a modulo n (often abbreviated as a mod n) is the remainder of the Euclidean division of a by n, where a is the dividend and n is the divisor.

  5. Theory of knowledge (IB course) - Wikipedia

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

    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 claim to know." [ 2]

  6. New Study Reveals The Best and Worst Dog Breeds and Pet ... - AOL

    www.aol.com/study-reveals-best-worst-dog...

    The study looked at two main behavioral issues — following commands and temperament. Participants were asked many questions for each category. Participants were asked many questions for each ...

  7. IB Group 4 subjects - Wikipedia

    en.wikipedia.org/wiki/IB_Group_4_subjects

    Paper 1 (45 raw marks contributing 30% of the course, 1 hour) consists of short-answer and data-based questions. Paper 2 (65 raw marks contributing 50% of the course, 2 hours) consists of: Section A: Candidates are required to analyse and make reasoned and balanced judgements relating to a range of data on a specific unseen case study.

  8. Mathematical modelling of infectious diseases - Wikipedia

    en.wikipedia.org/wiki/Mathematical_modelling_of...

    Mathematical models can project how infectious diseases progress to show the likely outcome of an epidemic (including in plants) and help inform public health and plant health interventions. Models use basic assumptions or collected statistics along with mathematics to find parameters for various infectious diseases and use those parameters to ...

  9. 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.