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  1. en.wikipedia.org › wiki › QuaternionQuaternion - Wikipedia

    1 dzień temu · The latter is impossible because a is a real number and the first equation would imply that a 2 = −1. Therefore, a = 0 and b 2 + c 2 + d 2 = 1. In other words: A quaternion squares to −1 if and only if it is a vector quaternion with norm 1. By definition, the set of all such vectors forms the unit sphere.

  2. en.wikipedia.org › wiki › IndiaIndia - Wikipedia

    1 dzień temu · India, officially the Republic of India (ISO: Bhārat Gaṇarājya), is a country in South Asia.It is the seventh-largest country by area; the most populous country as of June 2023; and from the time of its independence in 1947, the world's most populous democracy. Bounded by the Indian Ocean on the south, the Arabian Sea on the southwest, and the Bay of Bengal on the southeast, it shares land ...