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  2. List of NP-complete problems - Wikipedia

    en.wikipedia.org/wiki/List_of_NP-complete_problems

    This is a list of some of the more commonly known problems that are NP-complete when expressed as decision problems. As there are thousands of such problems known, this list is in no way comprehensive. Many problems of this type can be found in Garey & Johnson (1979).

  3. Consecutive fifths - Wikipedia

    en.wikipedia.org/wiki/Consecutive_fifths

    Consecutive fifths were usually considered forbidden, even if disguised (such as in a "horn fifth") or broken up by an intervening note (such as the mediant in a triad). [ clarification needed ] The interval may form part of a chord of any number of notes, and may be set well apart from the rest of the harmony , or finely interwoven in its midst.

  4. National Council of Educational Research and Training

    en.wikipedia.org/wiki/National_Council_of...

    The Indian Ministry of Education established the NCERT on 27 July 1961, and the council began formal operation on 1 September 1961. It was formed through the merger of seven government organizations: the Central Institute of Education; the Central Bureau of Textbook Research; the Central Bureau of Educational and Vocational Guidance

  5. Waring's problem - Wikipedia

    en.wikipedia.org/wiki/Waring's_problem

    Numbers of the form 31·16 n always require 16 fourth powers. 68 578 904 422 is the last known number that requires 9 fifth powers (Integer sequence S001057, Tony D. Noe, Jul 04 2017), 617 597 724 is the last number less than 1.3 × 10 9 that requires 10 fifth powers, and 51 033 617 is the last number less than 1.3 × 10 9 that requires 11.

  6. Sequence number - Wikipedia

    en.wikipedia.org/wiki/Sequence_number

    A sequence number is a consecutive number in a sequence of numbers, usually of real integers (natural numbers).Sequence numbers have many practical applications. They can be used, among other things, as part of serial numbers on manufactured parts, in case management, [1] or in databases as a surrogate key for registering and identifying unique entries in a table [2] [3] (in which case it is ...

  7. 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.