… In defining the eigenvalues for the operator div(IVu,p 2Vu) in a given domain Q c Rn we
shall interpret equation (1.1) … It is easily seen that this minimization problem is equivalent …

… of the groups H = Gal@ 1 K) and H’ = Gal(NI K’). The possibility of doing this rests on the …
depends essentially upon two properties of &s): its Euler product and its functional equation. …

… That Me solutions exist follows from a theorem on uniformization [l] and the fact that when
w = 3, (1) is of genus 1. The uniformization theorem assures the existence of elliptic solutions, …

… the starting point of the Lyapunov-Schmidt procedure, we need to study the linearized operator
(obtained by linearizing equation (… prove the continuity of V on f2, we need only prove the …

… We think that efforts to impose a narrow definition of cause or effect on the potential
application of structural equation models are unproductive (Lindsey 1973; Guttman, unpublished …

… The problem is again to find a bound for the number of limit cycles for those equations,
depending only on the degree d. This equation plays an important role in the theory of nonlinear …

… velocity equation applicable to large- and medium-scale mid-latitude flow. The purpose of
this paper is to show how the o-equation … on the synoptician's chart, and also to point out the …

… Thisis possible because two foldings-over occur The equation was derived from the … on the
way back, one “horizontal” (within windings) producing three-variable system [5] by adding a …

… We analyze the integral points on varieties defined by one equation of … In the sequel we
shall use the lexicographic ordering on the m-tuples (i1,..., im) ∈ Nm of natural numbers. Namely…

… We conclude this section by summarizing and commenting on the approximations which
lead to equation (41). In essence the following approximations have been made: …