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  2. Pythagorean triple - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_triple

    Other small Pythagorean triples such as (6, 8, 10) are not listed because they are not primitive; for instance (6, 8, 10) is a multiple of (3, 4, 5). Each of these points (with their multiples) forms a radiating line in the scatter plot to the right. Additionally, these are the remaining primitive Pythagorean triples of numbers up to 300:

  3. SWAYAM - Wikipedia

    en.wikipedia.org/wiki/SWAYAM

    A local chapter will be under one faculty member of the college as one Single Point of Contact (SPOC). Further under the SWAYAM-NPTEL webpage, two more departments are operated, i.e., timeline, list of active local chapters, local chapter ratings, etc. Other departments show news from local chapters, i.e., local chapter colleges/universities.

  4. Balls into bins problem - Wikipedia

    en.wikipedia.org/wiki/Balls_into_bins_problem

    In the simplest case, if one allocates balls into bins (with =) sequentially one by one, and for each ball one chooses random bins at each step and then allocates the ball into the least loaded of the selected bins (ties broken arbitrarily), then with high probability the maximum load is: [8]

  5. Textbook - Wikipedia

    en.wikipedia.org/wiki/Textbook

    Given that the problem of high textbook prices is linked to the "broken" economics of the market, requiring publishers to disclose textbook prices to faculty is a solution pursued by a number of legislatures. [23] By inserting price into sales interactions, this regulation will supposedly make the economic forces operate more normally.

  6. Hilbert's eighth problem - Wikipedia

    en.wikipedia.org/wiki/Hilbert's_eighth_problem

    Hilbert calls for a solution to the Riemann hypothesis, which has long been regarded as the deepest open problem in mathematics. Given the solution, [ 2 ] he calls for more thorough investigation into Riemann's zeta function and the prime number theorem .

  7. Wiles's proof of Fermat's Last Theorem - Wikipedia

    en.wikipedia.org/wiki/Wiles's_proof_of_Fermat's...

    Wiles had the insight that in many cases this ring homomorphism could be a ring isomorphism (Conjecture 2.16 in Chapter 2, §3 of the 1995 paper [4]). He realised that the map between R {\displaystyle R} and T {\displaystyle \mathbf {T} } is an isomorphism if and only if two abelian groups occurring in the theory are finite and have the same ...

  8. Euclidean geometry - Wikipedia

    en.wikipedia.org/wiki/Euclidean_geometry

    Euclidean geometry and Pifargor's Number is a mathematical prozess. System attributed to ancient Greek mathematician Euclid, which he described in his textbook on geometry, Elements.

  9. Newton's cradle - Wikipedia

    en.wikipedia.org/wiki/Newton's_cradle

    Of the initial velocity, 13% is imparted to the fourth ball (which can be seen as a 3.3-degree movement if the fifth ball moves out 25 degrees) and there is a slight reverse velocity in the first three balls, the first ball having the largest at −7% of the initial velocity.