A graph is called supermagic if there is a labeling of edges where the edges are labeled with consecutive distinct positive integers such that the sum of the labels of all edges incident with any vertex is constant. A graph G is called degree-magic if there is a labeling of the edges by integers 1, 2, ..., |E(G)| such that the sum of the labels of the edges incident with any vertex v is equal t...

An effective interaction is derived for use in the full p f basis. Starting from a realistic G-matrix interaction, 195 two-body matrix elements and four single-particle energies are determined by fitting to 699 energy data in the mass range 47–66. The derived interaction successfully describes various structures of p f -shell nuclei. As examples, systematics of the energies of the first 2 state...

T2BW, T2PG, and FPG maps at 0° and 55° relative to Bo. There is still some natural variation in the curvature of the articular surface and collagen fiber orientation across the slab which results in non-uniform changes in T2Single, T2BW, and T2PG within the cartilage specimen. Figure 2: T2 parameters at 30°, 55°, and 60° expressed as a percent change relative to the baseline value at 0° where t...

We compare and discuss three electrophoretic methods for identifying hemoglobins S, A, C, F, and D or G. Electrophoresis on citrate agar gel was more sensitive than electrophoresis on cellulose acetate for detecting hemoglobins S and F, a fundamental consideration in designing cord-blood screening programs for detecting hemoglobin S carriers. Electrophoresis on starch gel is evidently an accept...

In this work labeling of planar graphs is taken up which involves labeling the p vertices, the q edges and the f internal faces such that the weights of the faces form an arithmetic progression with common difference d. If d = 0, then the planar graph is said to have an Inner Magic labeling; and if d = 0, then it is Inner Antimagic labeling. Some new kinds of graphs have been developed which ha...

H. Bartko , T. Bretz , W. Bednarek , J. Cortina , F. Goebel , M. Gaug , M. Hayashida , M. Mariotti , D. Mazin , R. Mirzoyan , S. Mizobuchi , A. Moralejo , E. de O
a , N. Otte , J. Rico , T. Schweizer , M. Teshima , D. Torres , W. Wittek for the MAGIC collaboration (a) Max-Planck-Institute for Physics, Munich Germany (b) University of Würzburg, Germany (c) University of Lodz, Poland (d) Institu...

We investigate the condition for the bounce of circular disks which obliquely impacts on the fluid surface. An experiment [C. Clanet, F. Hersen, and L. Bocquet, Nature (London) 427, 29 (2004)] revealed that there exists a "magic angle" of 20 degrees between a disk's face and water surface in which the condition of the lowest impact speed necessary for a bounce is minimized. We perform a three-d...

We will prove that there exists a model of ZFC+“c = ω2” in which every M ⊆ R of cardinality less than continuum c is meager, and such that for every X ⊆ R of cardinality c there exists a continuous function f : R → R with f [X] = [0, 1]. In particular in this model there is no magic set, i.e., a set M ⊆ R such that the equation f [M ] = g[M ] implies f = g for every continuous nowhere constant ...

We report a new line-narrowing effect associated with triple-quantum resonance in a two-level NMR system. The experiment was carried out in the rotating frame on (19)F nuclei in Teflon; namely, the magnetization is spin-locked along the RF field and the triple-quantum resonance is induced by the oscillating field perpendicular to the RF field. We observed that the decay time of the triple-quant...

Two versions of conformation sensitive gel electrophoresis, fluorescent (F-CSGE) and manual (M-CSGE) techniques, were compared for mutation analysis of the von Willebrand factor gene. 56 PCRs were used to amplify all 52 exons of the gene in seven type 1 von Willebrand disease cases, plus a healthy control. One hundred and ninety-two samples were analyzed on each F-CSGE gel, compared with 40 on ...