In this paper, we construct a splitting of the metaplectic cover of the reductive dual pairs of orthogonal and symplectic groups or the reductive dual pairs of unitary groups over a nonarchimedean local field with respect to a generalized lattice model of the Weil representation. We also prove a result concerning the splitting that we construct and the theta dichotomy for unitary group. The spl...

We discuss the polarization selection rules for splitting of the two principal electromagnetic modes that propagate in a vacuum polarized by a superstrong magnetic field (B > 0.1Bcr ' 4 × 10 G). We show that below the threshold of free pair creation the selection rules found by Adler in the limit of weak dispersion remain unaffected by taking the resonant effects into consideration, i.e., split...

In a recent paper we used a phase-field model of solidification in deeply undercooled pure melts to show that a kinetic instability could result in dendrite tip splitting, and we speculated that such tip splitting could give rise to the phenomenon of spontaneous grain refinement. Here we present evidence, from the as-solidified microstructure of deeply undercooled ultrahigh purity Cu, of what a...

The prevalent method of increasing reasoning efficiency in the domain of qualitative constraint-based spatial and temporal reasoning is to use domain splitting based on so-called tractable subclasses. In this paper we analyze the application of nogood learning with restarts in combination with domain splitting. Previous results on nogood recording in the constraint satisfaction field feature le...

In this paper we restrict every set splitting problem to the special case in which every set has just three elements. This restricted version is also NP-complete. Then, we introduce a general conversion from any set splitting problem to 3-set splitting. Then we introduce a randomize algorithm, and we use Markov chain model for run time complexity analysis of this algorithm. In the last section ...

The development of clean and renewable energy materials as alternatives to fossil fuels is foreseen as a potential solution to the crucial problems of environmental pollution and energy shortages. Hydrogen is an ideal energy material for the future, and water splitting using solar/electrical energy is one way to generate hydrogen. Metal-organic frameworks (MOFs) are a class of porous materials ...

the aim of this study is investigation on effect of stem end splitting and geranium essential oil on vase life on quality of cut chrysanthemum (dendranthema grandiflorum l.). this experiment arranged as factorial based on rcd with 2 factors of stem end splitting at 2 levels (with splitting and without splitting) and geranium essential oil at 6 levels (0, 1, 2, 4, 8 and 10 %), with 12 treatments...

In this note, we calculate all the basic invariants of the number field K = Q(3 √ 5, ω), where ω = (−1 + √ −3)/2 is a primitive cube root of unity. Here is the notation for the fields and Galois groups to be used. Let

New splitting theorems in a semi-Riemannian manifold which admits an irrotational vector field (not necessarily a gradient) with some suitable properties are obtained. According to the extras hypothesis assumed on the vector field, we can get twisted, warped or direct decompositions. Some applications to Lorentzian manifold are shown and also S ×L type decomposition is treated.