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  2. Indian National Mathematical Olympiad - Wikipedia

    en.wikipedia.org/wiki/Indian_National...

    The Indian Olympiad Qualifier in Mathematics (IOQM) is a national exam for students in grades 8-12. It's used to shortlist students for HBCSE's Mathematical Olympiad program. Students must be under 20 years old by June 30 of the IMO year and cannot have passed Class 12.

  3. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    This principle, foundational for all mathematics, was first elaborated for geometry, and was systematized by Euclid around 300 BC in his book Elements. [ 21 ] [ 22 ] The resulting Euclidean geometry is the study of shapes and their arrangements constructed from lines, planes and circles in the Euclidean plane ( plane geometry ) and the three ...

  4. Principia Mathematica - Wikipedia

    en.wikipedia.org/wiki/Principia_Mathematica

    In simple type theory objects are elements of various disjoint "types". Types are implicitly built up as follows. If τ 1,...,τ m are types then there is a type (τ 1,...,τ m) that can be thought of as the class of propositional functions of τ 1,...,τ m (which in set theory is essentially the set of subsets of τ 1 ×...×τ m). In ...

  5. Chess - Wikipedia

    en.wikipedia.org/wiki/Chess

    This book was one of the most popular of the Middle Ages. [141] The work was translated into many other languages (the first printed edition was published at Utrecht in 1473) and was the basis for William Caxton's The Game and Playe of the Chesse (1474), one of the first books printed in English. [142]

  6. Philosophiæ Naturalis Principia Mathematica - Wikipedia

    en.wikipedia.org/wiki/Philosophiæ_Naturalis...

    Philosophiæ Naturalis Principia Mathematica (English: The Mathematical Principles of Natural Philosophy) [1] often referred to as simply the Principia (/ p r ɪ n ˈ s ɪ p i ə, p r ɪ n ˈ k ɪ p i ə /), is a book by Isaac Newton that expounds Newton's laws of motion and his law of universal gravitation.

  7. Polyhedron - Wikipedia

    en.wikipedia.org/wiki/Polyhedron

    This class may be subdivided into a regular, quasi-regular, or semi-regular polyhedron, and may be convex or starry. The dual is face-transitive and has regular vertices but is not necessarily vertex-transitive. The uniform polyhedra and their duals are traditionally classified according to their degree of symmetry, and whether they are convex ...

  8. Physics - Wikipedia

    en.wikipedia.org/wiki/Physics

    The distinction between mathematics and physics is clear-cut, but not always obvious, especially in mathematical physics. Ontology is a prerequisite for physics, but not for mathematics. It means physics is ultimately concerned with descriptions of the real world, while mathematics is concerned with abstract patterns, even beyond the real world.

  9. National Book Award for Fiction - Wikipedia

    en.wikipedia.org/wiki/National_Book_Award_for...

    The award recognizes one book written by a U.S. citizen and published in the U.S. from December 1 to November 30. The National Book Foundation accepts nominations from publishers until June 15, requires mailing nominated books to the panelists by August 1, and announces five finalists in October.

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    exercise 4.2 math class 11 national book foundation notes pdf download