Also, in analogy with the ordinary Lie theory [11, 12], we derive algebraically the generating function of the generalized q-Bessel function.
In fact, they could even represent a burden, decreasing individual fitness, in analogy with the two-fold cost of males in theories on the evolution of sex [ 5, 6].
The theory of the weak interaction is sometimes called quantum flavordynamics (QFD), in analogy with the terms QCD and QED, but the term is rarely used because the weak force is best understood in terms of electro-weak theory (EWT).
Fermi knew this but chose, in analogy with electromagnetic theory, to use only the vector interaction.
We shall be guided by the analogy with the theory of Lie groups and Lie algebras, so first we recall the basics of the classical theory.
Our claim is unique in that the Earth's magnetic field plays an essential role in generation of electric field, and hence we named the underlying mechanism as 'seismic dynamo effect' in an analogy with the dynamo theory for generation of planetary magnetism (e.g. Takahashi et al., 2005).
The energy available for mixed phase particle rupture is determined by analogy with the theories of Kolmogorov and Hinze for isolated droplet rupture in turbulent flow, and of Taylor, Sprow, Shinnar and others for droplet rupture in laminar flow fields.
There is an analogy here with the theory of universals and the problem of exemplification.
The theory of defects in Cosserat continua is sketched out in strict analogy to the theory of line defects in anisotropic elasticity (Stroh theory).
Other approaches, known as 'hidden variables' approaches, seek to explain quantum phenomena as equilibrium statistical effects arising from a deeper-level theory, rather strongly in analogy with attempts at understanding thermodynamics in terms of statistical mechanics (see the entry on philosophy of statistical mechanics).
