We construct an upper bound for the following family of functionals {Eε}ε>0, which arises in the study of micromagnetics: Eε(u) = ∫ ε|∇u|2 + 1 ε ∫ R2 |Hu |2. Here is a bounded domain in R2, u ∈ H1( , S1) (corresponding to the magnetization) and Hu , the demagnetizing field created by u, is given by { div (ũ + Hu) = 0 in R2 , curl Hu = 0 in R2 , where ũ is the extension of u by 0 in R2 \ . Our u...

Pyranoquinoline alkaloids, which possess inter­ esting pharmacological properties are known [1, 2] to occur in the plant family Rutaceae. The alka­ loids, khaplofoline (1) and ribalinine (2), isolated respectively from Haplophyllum foliosum (Vved) [3] and Balfourodendron riedelianum [4], members of the rutaceae, are structurally proven to be of pyrano [2,3-b]quinoline systems. Several reports h...

The 1/r2 quantum many body problem, and the closely related Haldane-Shastry 1/r2 Heisenberg chain, are the subject of intense theoretical study at present, due in part to their relationship to an ideal gas obeying fractional statistics (see [1] for a review). One direction of study has been the exact calculation of some ground state correlation functions [1-5]. Let us briefly summarize the main...

CAPSULE Background: DDI2 and DDI3 are two uncharacterized identical genes found in budding yeast. Results: They encode novel cyanamide hydratases and are massively induced by cyanamide. Their deletion causes cellular sensitivity to cyanamide. Conclusion: The two genes function in cyanamide detoxification and are tightly regulated. Significance: This is the first attempt to understand the duplic...

The goal of this paper is to investigate the Generalized Hyers - Ulam Rassias (HUR) stability generalquartic functional equation (GQFE) fq(kr1 + (k -1)r2) = 2k4fq(r1) 2(k -1)4fq(r2) +6k2(k -1)2[fq(r1 r2) fq(r1 r2)] 12k2(k 1)2[fq(r1) fq(r2)] in fuzzy normed spaces (F.N. spaces). proved by using direct method. sense and Ulam- Gavruta also studied.

We recently proposed an all-atom model for apolipoprotein (apo) A-I in discoidal high-density lipoprotein in which two monomers form stacked antiparallel helical rings rotationally aligned by interhelical salt-bridges. The model can be derived a priori from the geometry of a planar bilayer disc that constrains the hydrophobic face of a continuous amphipathic alpha helix in lipid-associated apoA...

machine of AMINE Here, we review the definition of the abstract machine formally: 42 Definition 3.3.2 (Notations for maps) • We use [ ] as an empty map. • Let ψ be a map. We use the following notation: ψ[x 7→ a](z) def =  a (z is x) ψ(z) (otherwise). When ψ(x) is undefined, we use the following notation: ψ[x 7→ ⊥](z) def =  undefined (z = x) ψ(z) (otherwise). We may also write ψ(x) = ⊥ when...

Introduction: Restless legs syndrome (RLS) is a neurological disorder with a prevalence of about 5-10% of the general population. Its clinical symptom is characterized by uncontrollable, unbearable urges to move the legs, causing chronic sleep deprivation. The iron deficiency has been considered an important contributing factor for RLS [1]. In vivo iron evaluation for RLS has largely utilized T...

In this paper T , U are non empty topological spaces, t is a point of T , and n is a natural number. Let S be a topological space and let T be a non empty topological space. Note that every function from S into T which is constant is also continuous. The following two propositions are true: (1) L01(0, 1, 0, 1) = id[0, 1]T . (2) For all real numbers r1, r2, r3, r4, r5, r6 such that r1 < r2 and r...