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  2. Non-celiac gluten sensitivity - Wikipedia

    en.wikipedia.org/wiki/Non-celiac_gluten_sensitivity

    Reported symptoms of NCGS are similar to those of celiac disease, [30] [31] with most patients reporting both gastrointestinal and non-gastrointestinal symptoms. [29] [32] In the "classical" presentation of NCGS, gastrointestinal symptoms are similar to those of irritable bowel syndrome, and are also not distinguishable from those of wheat allergy, but there is a different interval between ...

  3. 1 − 2 + 3 − 4 + ⋯ - ⋯ - Wikipedia

    en.wikipedia.org/wiki/1_%E2%88%92_2_%2B_3_%E2%88...

    The idea becomes clearer by considering the general series 1 − 2x + 3x 2 − 4x 3 + 5x 4 − 6x 5 + &c. that arises while expanding the expression 1 ⁄ (1+x) 2, which this series is indeed equal to after we set x = 1.

  4. 1 + 2 + 3 + 4 + ⋯ - ⋯ - Wikipedia

    en.wikipedia.org/wiki/1_%2B_2_%2B_3_%2B_4_%2B_%E...

    where f (2k−1) is the (2k − 1)th derivative of f and B 2k is the (2k)th Bernoulli number: B 2 = ⁠ 1 / 6 ⁠, B 4 = ⁠− + 1 / 30 ⁠, and so on. Setting f ( x ) = x , the first derivative of f is 1, and every other term vanishes, so [ 15 ]

  5. Collatz conjecture - Wikipedia

    en.wikipedia.org/wiki/Collatz_conjecture

    For any integer n, n ≡ 1 (mod 2) if and only if 3n + 14 (mod 6). Equivalently, ⁠ n − 1 / 3 ⁠ ≡ 1 (mod 2) if and only if n ≡ 4 (mod 6). Conjecturally, this inverse relation forms a tree except for the 124 loop (the inverse of the 421 loop of the unaltered function f defined in the Statement of the problem section of ...

  6. Sicherman dice - Wikipedia

    en.wikipedia.org/wiki/Sicherman_dice

    This gives us the distribution of spots on the faces of a pair of Sicherman dice as being {1,2,2,3,3,4} and {1,3,4,5,6,8}, as above. This technique can be extended for dice with an arbitrary number of sides.

  7. List of 4X video games - Wikipedia

    en.wikipedia.org/wiki/List_of_4X_video_games

    Dominions 5: Warriors of the Faith [3] Illwinter Game Design: Fantasy: WIN, OSX, LIN: Turn based. Sequel to Dominions 4: Thrones of Ascension. 2017: Endless Space 2 [3] Amplitude Studios: Sci-fi (Space) WIN, OSX: Endless Space 2 is a turn-based strategy, science fiction 4X game. It is the sequel to the Endless Space. 2017: Oriental Empires [3 ...

  8. nForce4 - Wikipedia

    en.wikipedia.org/wiki/NForce4

    The Socket 754 version of the board has the HyperTransport link clocked to 800 MHz (6.4 GB/s transfer rate). Motherboards based on early revisions are mostly referred to as "nForce4-4x" (relating with their ability to handle HT speeds of 4x). Support for up to 20 PCI Express (PCIe) lanes (up to 38-40 lanes for the nForce4 SLI x16). Reference ...

  9. Galois group - Wikipedia

    en.wikipedia.org/wiki/Galois_group

    3.4.1 Quaternion group. 3.4.2 Symmetric group of prime order. 3.5 Comparing Galois groups of field extensions of global fields. 3.6 Infinite groups. 4 Properties. 5 ...

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