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  2. Joint Entrance Examination – Advanced - Wikipedia

    en.wikipedia.org/wiki/Joint_Entrance_Examination...

    However, with 2022 JEE-Main being postponed from April/May to 20–29 June/21–30 July, JEE-Advanced 2022 was also postponed and subsequently held on 28 August 2022. On 5 November 2024, it was announced by IIT Kanpur , and Joint Admission Board(JAB) that the attempts of JEE-Advanced are now increased from 2 to 3. [ 72 ]

  3. Liouville's theorem (complex analysis) - Wikipedia

    en.wikipedia.org/wiki/Liouville's_theorem...

    Proof. If is an entire function, it can be represented by its Taylor series about 0: = =where (by Cauchy's integral formula) = ()! = + and is the circle about 0 of radius >.

  4. Yao's principle - Wikipedia

    en.wikipedia.org/wiki/Yao's_principle

    When the cost denotes the running time of an algorithm, Yao's principle states that the best possible running time of a deterministic algorithm, on a hard input distribution, gives a lower bound for the expected time of any Las Vegas algorithm on its worst-case input.

  5. Picard theorem - Wikipedia

    en.wikipedia.org/wiki/Picard_theorem

    Suppose : is an entire function that omits two values and .By considering () we may assume without loss of generality that = and =.. Because is simply connected and the range of omits , f has a holomorphic logarithm.