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  2. Exercise book - Wikipedia

    en.wikipedia.org/wiki/Exercise_book

    The exercise book format is different for some subjects: for the majority of subjects, the exercise book will contain lined paper with a margin, but for other subjects such as mathematics, the exercise book will contain squared paper to aid in the drawing of graphs, tables or other diagrams.

  3. International Mathematical Olympiad - Wikipedia

    en.wikipedia.org/wiki/International_Mathematical...

    The content ranges from extremely difficult algebra and pre-calculus problems to problems in branches of mathematics not conventionally covered in secondary or high school and often not at university level either, such as projective and complex geometry, functional equations, combinatorics, and well-grounded number theory, of which extensive knowledge of theorems is required.

  4. P versus NP problem - Wikipedia

    en.wikipedia.org/wiki/P_versus_NP_problem

    Just as the class P is defined in terms of polynomial running time, the class EXPTIME is the set of all decision problems that have exponential running time. In other words, any problem in EXPTIME is solvable by a deterministic Turing machine in O (2 p ( n ) ) time, where p ( n ) is a polynomial function of n .

  5. Discriminant of an algebraic number field - Wikipedia

    en.wikipedia.org/wiki/Discriminant_of_an...

    On the other hand, the existence of an infinite class field tower can give upper bounds on the values of α(ρ, σ). For example, the infinite class field tower over Q(√-m) with m = 3·5·7·11·19 produces fields of arbitrarily large degree with root discriminant 2 √ m ≈ 296.276, [28] so α(0,1) < 296.276.

  6. Secretary problem - Wikipedia

    en.wikipedia.org/wiki/Secretary_problem

    Graphs of probabilities of getting the best candidate (red circles) from n applications, and k/n (blue crosses) where k is the sample size. The secretary problem demonstrates a scenario involving optimal stopping theory [1] [2] that is studied extensively in the fields of applied probability, statistics, and decision theory.

  7. Affine transformation - Wikipedia

    en.wikipedia.org/wiki/Affine_transformation

    Let X be an affine space over a field k, and V be its associated vector space. An affine transformation is a bijection f from X onto itself that is an affine map; this means that a linear map g from V to V is well defined by the equation () = (); here, as usual, the subtraction of two points denotes the free vector from the second point to the first one, and "well-defined" means that ...

  8. A-level (United Kingdom) - Wikipedia

    en.wikipedia.org/wiki/A-level_(United_Kingdom)

    The O grade was equivalent to a GCE Ordinary Level pass which indicated a performance equivalent to the lowest pass grade at Ordinary Level.. Over time, the validity of this system was questioned because, rather than reflecting a standard, norm referencing simply maintained a specific proportion of candidates at each grade, which in small cohorts was subject to statistical fluctuations in ...

  9. List of unsolved problems in mathematics - Wikipedia

    en.wikipedia.org/wiki/List_of_unsolved_problems...

    Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.

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