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  2. Extraneous and missing solutions - Wikipedia

    en.wikipedia.org/wiki/Extraneous_and_missing...

    Because of this, often, the only simple effective way to deal with multiplication by expressions involving variables is to substitute each of the solutions obtained into the original equation and confirm that this yields a valid equation. After discarding solutions that yield an invalid equation, we will have the correct set of solutions.

  3. G2 (mathematics) - Wikipedia

    en.wikipedia.org/wiki/G2_(mathematics)

    The Lie algebra of the compact form is 14-dimensional. The associated Lie group has no outer automorphisms, no center, and is simply connected and compact. The Lie algebra of the non-compact (split) form has dimension 14. The associated simple Lie group has fundamental group of order 2 and its outer automorphism group is the trivial group.

  4. 14 (number) - Wikipedia

    en.wikipedia.org/wiki/14_(number)

    14 has an aliquot sum of 8, within an aliquot sequence of two composite numbers (14, 8, 7, 1, 0) in the prime 7-aliquot tree. 14 is the third companion Pell number and the fourth Catalan number . [ 2 ] [ 3 ] It is the lowest even n {\displaystyle n} for which the Euler totient φ ( x ) = n {\displaystyle \varphi (x)=n} has no solution, making ...

  5. Approximations of π - Wikipedia

    en.wikipedia.org/wiki/Approximations_of_π

    Approximations for the mathematical constant pi (π) in the history of mathematics reached an accuracy within 0.04% of the true value before the beginning of the Common Era. In Chinese mathematics, this was improved to approximations correct to what corresponds to about seven decimal digits by the 5th century.

  6. E7 (mathematics) - Wikipedia

    en.wikipedia.org/wiki/E7_(mathematics)

    The designation E 7 comes from the Cartan–Killing classification of the complex simple Lie algebras, which fall into four infinite series labeled A n, B n, C n, D n, and five exceptional cases labeled E 6, E 7, E 8, F 4, and G 2. The E 7 algebra is thus one of the five exceptional cases.

  7. Tramps Like Us - Wikipedia

    en.wikipedia.org/wiki/Tramps_Like_Us

    Tramps Like Us (Japanese: きみはペット, Hepburn: Kimi wa Petto, lit. ' You're A Pet ') is a Japanese manga series written and illustrated by Yayoi Ogawa [].It is about Sumire, a young professional woman who takes in a younger man as a pet, and her attempts to keep her coworkers and conventionally perfect boyfriend [1] from finding out about her pet.

  8. Learning - Wikipedia

    en.wikipedia.org/wiki/Learning

    Learning is the process of acquiring new understanding, knowledge, behaviors, skills, values, attitudes, and preferences. [1] The ability to learn is possessed by humans, non-human animals, and some machines; there is also evidence for some kind of learning in certain plants. [2]

  9. My Magic Pet Morphle - Wikipedia

    en.wikipedia.org/wiki/My_Magic_Pet_Morphle

    My Magic Pet Morphle, also known as Morphle, is an animated children's television series created in 2011. [ 2 ] [ 3 ] Produced by YouTube channel Morphle TV, which was acquired by Moonbug Entertainment in 2018 and announced in February 2019, the series premiered on Netflix on January 10, 2019. [ 4 ]