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  2. Modula-3 - Wikipedia

    en.wikipedia.org/wiki/Modula-3

    Modula-3. Modula-3 is a programming language conceived as a successor to an upgraded version of Modula-2 known as Modula-2+. While it has been influential in research circles (influencing the designs of languages such as Java, C#, Python [8] and Nim) it has not been adopted widely in industry. It was designed by Luca Cardelli, James Donahue ...

  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. Baby Modula-3 - Wikipedia

    en.wikipedia.org/wiki/Baby_modula-3

    Baby Modula-3 is a functional programming sublanguage of Modula-3 (safe subset) programming language based on ideals invented by Martín Abadi. It is an object-oriented programming language for studying programming language design; one part of it is implicitly prototype-oriented, and the other is explicitly statically typed designed for ...

  5. Modulo - Wikipedia

    en.wikipedia.org/wiki/Modulo

    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. [ 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 ...

  6. Modula - Wikipedia

    en.wikipedia.org/wiki/Modula

    Modula. The Modula programming language is a descendant of the Pascal language. It was developed in Switzerland, at ETH Zurich, in the mid-1970s by Niklaus Wirth, the same person who designed Pascal. The main innovation of Modula over Pascal is a module system, used for grouping sets of related declarations into program units; hence the name ...

  7. SPIN (operating system) - Wikipedia

    en.wikipedia.org/wiki/SPIN_(operating_system)

    SPIN (operating system) The SPIN operating system is a research project implemented in the computer programming language Modula-3, and is an open source project. It is designed with three goals: flexibility, safety, and performance. SPIN was developed at the University of Washington . The kernel can be extended by dynamic loading of modules ...

  8. Modulo (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Modulo_(mathematics)

    Modulo is a mathematical jargon that was introduced into mathematics in the book Disquisitiones Arithmeticae by Carl Friedrich Gauss in 1801. [3] Given the integers a, b and n, the expression "a ≡ b (mod n)", pronounced "a is congruent to b modulo n", means that a − b is an integer multiple of n, or equivalently, a and b both share the same remainder when divided by n.

  9. Modular form - Wikipedia

    en.wikipedia.org/wiki/Modular_form

    Modular form. In mathematics, a modular form is a (complex) analytic function on the upper half-plane, , that satisfies: a kind of functional equation with respect to the group action of the modular group, and a growth condition. The theory of modular forms therefore belongs to complex analysis. The main importance of the theory is its ...