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  2. List of unsolved problems in mathematics - Wikipedia

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

    Thurston's 24 questions [4] [5] 24-William Thurston: 1982 Smale's problems: 18: 14: Stephen Smale: 1998 Millennium Prize Problems: 7: 6 [6] Clay Mathematics Institute: 2000 Simon problems: 15 <12 [7] [8] Barry Simon: 2000 Unsolved Problems on Mathematics for the 21st Century [9] 22-Jair Minoro Abe, Shotaro Tanaka: 2001 DARPA's math challenges ...

  3. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    Historically, the concept of a proof and its associated mathematical rigour first appeared in Greek mathematics, most notably in Euclid's Elements. [4] Since its beginning, mathematics was primarily divided into geometry and arithmetic (the manipulation of natural numbers and fractions), until the 16th and 17th centuries, when algebra [a] and ...

  4. Group (mathematics) - Wikipedia

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

    The manipulations of the Rubik's Cube form the Rubik's Cube group.. In mathematics, a group is a set with an operation that associates an element of the set to every pair of elements of the set (as does every binary operation) and satisfies the following constraints: the operation is associative, it has an identity element, and every element of the set has an inverse element.

  5. John von Neumann - Wikipedia

    en.wikipedia.org/wiki/John_von_Neumann

    A major contribution von Neumann made to measure theory was the result of a paper written to answer a question of Haar regarding whether there existed an algebra of all bounded functions on the real number line such that they form "a complete system of representatives of the classes of almost everywhere-equal measurable bounded functions". [117]

  6. Geographic coordinate system - Wikipedia

    en.wikipedia.org/wiki/Geographic_coordinate_system

    A geographic coordinate system (GCS) is a spherical or geodetic coordinate system for measuring and communicating positions directly on Earth as latitude and longitude. [1] It is the simplest, oldest and most widely used type of the various spatial reference systems that are in use, and forms the basis for most others.

  7. Hinduism - Wikipedia

    en.wikipedia.org/wiki/Hinduism

    Hinduism (/ ˈ h ɪ n d u ˌ ɪ z əm /) [1] is an umbrella term [2] [3] [a] for a range of Indian religious and spiritual traditions (sampradayas) [4] [note 1] that are unified by adherence to the concept of dharma, a cosmic order maintained by its followers through rituals and righteous living, [5] [6] [7] [b] as first expounded in the Vedas.

  8. Spacecraft flight dynamics - Wikipedia

    en.wikipedia.org/wiki/Spacecraft_flight_dynamics

    This is defined as the distance from a satellite at which its gravitational pull on a spacecraft equals that of its central body, which is = /, where D is the mean distance from the satellite to the central body, and m c and m s are the masses of the central body and satellite, respectively. This value is approximately 66,300 kilometers (35,800 ...

  9. Afghanistan - Wikipedia

    en.wikipedia.org/wiki/Afghanistan

    Afghanistan, [d] officially the Islamic Emirate of Afghanistan, [e] is a landlocked country located at the crossroads of Central Asia and South Asia.It is bordered by Pakistan to the east and south, [f] Iran to the west, Turkmenistan to the northwest, Uzbekistan to the north, Tajikistan to the northeast, and China to the northeast and east.

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