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  2. Adamjee Jute Mills - Wikipedia

    en.wikipedia.org/wiki/Adamjee_Jute_Mills

    Adamjee Jute Mill was a jute mill in Bangladesh. It was established in Narayanganj in 1950 by the Adamjee Group. It was the second jute mill in East Pakistan (present-day Bangladesh) after Bawa Jute Mill which was the first Jute Mill in East Pakistan. Gradually, the mill became the largest jute mill in the world, exceeding the jute mills of ...

  3. List of United States Military Academy top-ranking graduates

    en.wikipedia.org/wiki/List_of_United_States...

    All USMA cadets are rated each year; and get a final rating when they graduate. The cadet with the highest class rank is the one that has the best combination of score, academical standing, additional merits and demerits. The United States Military Academy opened in 1802; [1] [2] the initial class having just two cadets. The academy started the ...

  4. All India Secondary School Examination - Wikipedia

    en.wikipedia.org/wiki/All_India_Secondary_School...

    All India Secondary School Examination, commonly known as the class 10th board exam, is a centralized public examination that students in schools affiliated with the Central Board of Secondary Education, primarily in India but also in other Indian-patterned schools affiliated to the CBSE across the world, taken at the end of class 10.

  5. Legendre's three-square theorem - Wikipedia

    en.wikipedia.org/wiki/Legendre's_three-square...

    Gauss [10] pointed out that the four squares theorem follows easily from the fact that any positive integer that is 1 or 2 mod 4 is a sum of 3 squares, because any positive integer not divisible by 4 can be reduced to this form by subtracting 0 or 1 from it. However, proving the three-square theorem is considerably more difficult than a direct ...

  6. 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 ...

  7. Nilpotent group - Wikipedia

    en.wikipedia.org/wiki/Nilpotent_group

    Every subgroup of a nilpotent group of class n is nilpotent of class at most n; [9] in addition, if f is a homomorphism of a nilpotent group of class n, then the image of f is nilpotent [9] of class at most n. The following statements are equivalent for finite groups, [10] revealing some useful properties of nilpotency:

  8. Geometric invariant theory - Wikipedia

    en.wikipedia.org/wiki/Geometric_invariant_theory

    In mathematics, geometric invariant theory (or GIT) is a method for constructing quotients by group actions in algebraic geometry, used to construct moduli spaces.It was developed by David Mumford in 1965, using ideas from the paper (Hilbert 1893) in classical invariant theory.

  9. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    Mathematics is a field of study that discovers and organizes methods, theories and theorems that are developed and proved for the needs of empirical sciences and mathematics itself. There are many areas of mathematics, which include number theory (the study of numbers), algebra (the study of formulas and related structures), geometry (the study ...