Particle orbits and the Rosenbluth-Hinton residual zonal flow are evaluated for the case of a strong equilibrium radial electric field ( ) / r E d d φ ψ ψ = − ∇ as observed in a tokamak pedestal. The ordering used is p i ~ / r E B v c where p B is the poloidal field and i v is the ion thermal speed. The earlier calculations of Kagan and Catto for this regime [Kagan G and Catto P J 2009 Phys. Pl...

We define a rank function rk, mapping modal μ-formulae on ordinals below ω such that rk(μx.φ) > rk(φ(x)) for n ∈ N, with φ(x) ≡ x and φ(x) ≡ φ[x/φ(x)], and rk(φ) > rk(ψ) for all proper subformulae ψ of φ. The corresponding induction on formulae is thus justified by transfinite induction on ω. We then show that ω is the least such ordinal. Further, we give an algorithm to compute rk(φ) by primit...

The starting point for the ideas in this paper is a result of Kevin Burke [2, Prop 3.2.5] in the model theory of modules. This result establishes a correspondence between syntactically defined “pp-imaginaries” and certain, coherent, functors. Specifically, fix a ring R and let R-Mod be the category of left R-modules and R-mod be the category of finitely presented left R-modules. The category of...

Let {|ψ〉 , |φ〉} be an incomparable pair of states (|ψ〉 = |φ〉), i.e., |ψ〉 and |φ〉 cannot be transformed to each other with probability one by local transformations and classical communication (LOCC). We show that incomparable states can be multiple-copy transformable, i.e., there can exist a k, such that |ψ〉 → |φ〉, i.e., k+1 copies of |ψ〉 can be transformed to k + 1 copies of |φ〉 with probabilit...

– four new types: type variable X, universal type ∀X : K.τ , type operator abstraction λi :: S.τ and type operator application τ I. – A new kinding judgment Ψ; ∆ ` T :: K that assigns kinds to types – Typing judgment ∆; Φ; Γ ` e :κ τ changes to Ψ; ∆; Φ; Γ ` e :κ τ in which the context Ψ binds the type variables. – The subtyping judgment is changed as follows: Ψ; ∆; Φ |= τ1 v τ2 : K. – Semantics...

The kinks of the (1+1)-dimensional Wess-Zumino model with polynomic superpotential are investigated and shown to be related to real algebraic curves. 1 The dimensional reduction of the (3+1)-dimensional Wess-Zumino model, produces an interesting (1+1)-dimensional Bose-Fermi system; this field theory enjoys N=2 extended supersymmetry provided that the interactions are introduced via a real harmo...

The kinks of the (1+1)-dimensional Wess-Zumino model with polynomic superpotential are investigated and shown to be related to real algebraic curves. 1 The dimensional reduction of the (3+1)-dimensional Wess-Zumino model, produces an interesting (1+1)-dimensional Bose-Fermi system; this field theory enjoys N=2 extended supersymmetry provided that the interactions are introduced via a real harmo...

In this paper, we introduce the concept of best proximal contraction theorems in non-Archimedean fuzzy metric space for two mappings and prove some proximal theorems. As a consequence, it provides the existence of an optimal approximate solution to some equations which contains no solution. The obtained results extend further the recently development proximal contractions in non-Archimedean fuz...

We classify up to C∞ orbit equivalence the volume-preserving quasiconformal Anosov flows whose strong stable and strong unstable distributions are at least three-dimensional. If one of the strong distributions is two-dimensional, then we get a partial classification. Using these classification results, we obtain the following rigidity result : Let Φ the the orbit foliation of the geodesic flow ...

We survey tensor products of lattices with zero and related constructions focused on two topics: amenable lattices and box products. PART I. FIRST LECTURE: AMENABLE LATTICES Abstract. Let A be a finite lattice. Then A is amenable (A⊗B is a lattice, for every lattice B with zero) iff A (as a join-semilattice) is sharply transferable (whenever A has an embedding φ into IdL, the ideal lattice of a...