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单词 helmholtz function
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Helmholtz function
Helmholtz function n. (also (rare) Helmholtz's function) (a) [described by Helmholtz in Monatsberichte der Königl. Preussischen Akad. der Wissensch. zu Berlin (1868) 224)] Mathematics the transformation of the complex plane Z = 1/ π(ez + z + 1), which arises in the representation of fluid flow through a spout with infinite plane walls (disused); (b) Physical Chemistry the equation expressing Helmholtz free energy.
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1901 Ann. Math. 2 73 If we now allow ε to approach 0 as its limit Z′ approaches Helmholtz's function, Z1.
1908 Ann. Math. 9 77 These functions..effect transformations similar to the Z′'s and Z′′'s obtained from the hyperbolic sine and the Helmholtz function.
1937 M. W. Zemansky Heat & Thermodynamics xi. 195 The Helmholtz function is sometimes called the ‘Helmholtz free energy’, or the ‘free-energy’.
1997 Proc. Royal Soc. A. 453 2136 The Helmholtz function, A, (which is related to the internal energy, U, in the same way that the Gibbs function is related to the enthalpy) must be used for the infrared monitored dissociation.
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