Otto h lder

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1. Hölder's inequality (1264 bytes)
   1: fr:Inégalité de Hölder 2: ...''S'') and ''g'' be in L^''q''(''S''). Then ''fg'' is in L¹(''S'') and 3: :<math>\|fg\|_1 \le \|f\|_p \|g\|_q.</math> 5: ...[counting measure, we obtain as a special case the inequality
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2. Otto Hölder (859 bytes)
   1: ...ersity of Berlin and took his doctorate from the University of Tübington in 1882. 3: ...number)|200, and the theorem that implies that the Gamma function satisfies no algebraic diff...
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   1: ...'' of a group (mathematics)|group ''G'' is a chain of subgroups of ''G'' satisfying 3: ...left \cdots \triangleleft H_n\triangleleft G,</math> 5: ... that the quotient group of each link in the chain is a simple group.
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4. Linearly ordered group (678 bytes)
   1: ...tible with the linear ordering. Specifically, we have 3: ...r ''x'' &ge; 0 or &minus;''x'' &ge; 0, but not both, and 4: ...x'', ''y'', ''z'' in ''G'', if ''x'' &le; ''y'', then ''x'' + ''z'' &le; ''y'' + ''z''.
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