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日期:2024-10-13
Now that we have reviewed the foundations of measure theory, let us now put it to work to set up the basic theory of one of the fundamental families of function spaces in analysis, namely the spaces (also known as Lebesgue spaces). These spaces serve as ....
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日期:2024-10-11
I. The Holder Inequality H older: kfgk1 kfkpkgkq for 1 p + 1 q = 1. What does it give us? H older: (Lp) = Lq (Riesz Rep), also: relations between Lp spaces I.1. How to prove H older inequality. (1) Prove Young’s Inequality: ab ap p + bq q. (2) Then put A=...
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日期:2024-10-14
Holder may refer to: People with the surname Holder: Holder (surname) In mathematics: Hölder condition Hölder's inequality Hölder mean Jordan–Hölder theorem In sports: Holder (American football) In devices: Candle holder Cup holder Flame holder, a jet eng...
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日期:2024-10-11
Let 1/p+1/q=1 (1) with p, q>1. Then Hölder's inequality for integrals states that int_a^b|f(x)g(x)|dx...
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日期:2024-10-11
Holder in Due Course An individual who takes a Commercial Paper for value, in Good Faith, with the belief that it is valid, with no knowledge of any defects. The Uniform Commercial Code (UCC) defines a holder in due course as one who takes an instrument f...
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日期:2024-10-13
hold·er (hōl′dər) n. 1. One that holds, as: a. An owner: the holder of the copyright. b. A possessor or occupier: the holder of an Olympic record; the holder of a cabinet post. c. A party entitled to payment on a note or instrument: the mortgage holder; t...
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日期:2024-10-16
Attorney General Eric Holder delivers remarks during the NAACP Legal Defense Fund's luncheon to commemorate the Supreme Court's 1954 Brown v. Board of Education decision at the National Press Club on May 16, 2014, in Washington, D.C. (Photo: Chip Somodevi...