Mathematics for Enzyme Reaction Kinetics and Reactor Performance. F. Xavier Malcata

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Название Mathematics for Enzyme Reaction Kinetics and Reactor Performance
Автор произведения F. Xavier Malcata
Жанр Химия
Серия
Издательство Химия
Год выпуска 0
isbn 9781119490333



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      (2.54)equation

      or, after recalling Eq. (2.43),

      Therefore, the harmonic mean of two numbers never exceeds the geometric mean (again encompassing only positive values), and coincides therewith again when x1 = x2.

      When n = 2, another mean can be defined as

      (2.59)equation

      – where z denotes an auxiliary variable satisfying

Graph of mean/x1 vs. x2/x1 displaying 4 ascending curves labeled arm, lom, gem, and ham (top–bottom).

      (2.64)equation

      (2.66)equation

      with the aid of

      (2.67)equation

      one may add ζ/2 to all sides to get

      (2.69)equation

      where condensation of terms alike in the middle side unfolds