Stimulated by the anomalous superconducting properties of UPt3, we investigate the pairing symmetry and the transition temperature in the two-dimensional(2D) and threedimensional(3D) hexagonal Hubbard model. We solve the Éliashberg equation using the third order perturbation theory with respect to the on-site repulsion U . As results of the 2D calculation, we obtain distinct two types of stable...

The pairing interaction plays a crucial role in the nuclear mean-field model calculations. The most frequently used pairing type is the so-called monopole pairing interaction (g=const model). More realistic residual interactions are those with state-dependent matrix elements, e.g. δand Gogny forces. Previously the Gogny-type pairing force were studied within conventional Hartree-Fock-Bogoliubov...

Pairing-based cryptography provides us many novel cryptographic applications such as ID-based cryptosystems and efficient broadcast encryptions. The security problems in ubiquitous sensor networks have been discussed in many papers, and pairing-based cryptography is a crucial technique to solve them. Due to the limited resources in the current sensor node, it is challenged to optimize the imple...

In this paper, we introduce a powered Tate pairing on a supersingular elliptic curve that has the same shortened loop as the modified Tate pairing using the eta pairing approach by Barreto et al. The main significance of our approach is to remove the condition which the latter should rely on. It implies that our method is simpler and potentially general than the eta pairing approach, although t...

Analyses of frequencies of chromosome configurations in wheat and wheat hybrids are extended to include data from hybrids of three chromosome-pairing mutants of wheat with Aegilops variabilis and from autotetraploid Triticum monococcum. These data confirm and extend the theory proposed by Driscoll, Bielig and Darvey (1979). Homoeologous and homologous chromosome pairing are fundamentally identi...

A self-pairing is a pairing computation where both inputs are the same group element. Self-pairings are used in some cryptographic schemes and protocols. In this paper, we show how to compute the Tate-Lichtenbaum pairing 〈D,φ(D)〉 on a curve more efficiently than the general case. The speedup is obtained by requiring a simpler final exponentiation. We also discuss how to use this pairing in cryp...

This paper presents the first study of pairing computation on curves with embedding degree 15. We show that pairing computation on these curves has loop length r and we use a twist of degree 3 to perform most of the operations in Fp or Fp5 . Furthermore, we present an original arithmetic for extension fields of degree 5. Key-words: Pairing based cryptography, Pairing computation, Arithmetic, In...

Chromosome pairing is usually discussed in the context of meiosis. Association of homologues in germ cells enables chromosome segregation and is necessary for fertility. A few organisms, such as flies, also pair their entire genomes in somatic cells. Most others, including mammals, display little homologue pairing outside of the germline. Experimental evidence from both flies and mammals sugges...

Long-term changes in synaptic transmission in slices of rat visual cortex were induced either by pairing the excitatory postsynaptic potentials with postsynaptic depolarization or by intracellular tetanization without synaptic stimulation. Changes in the excitatory postsynaptic potential amplitude induced by any of the protocols applied in isolation persisted for longer than 1 h. Pairing-induce...

The role of L=0 pairing interactions (both T =0 and T =1) in three selected bands with the total isospin T tot =0 in 22 Na, 48 Cr and 90 Rh nuclei is discussed in the spherical shell model. These bands were selected requiring termination in a most unfavourable way. The investigated effects coming from pairing interactions include the change of nuclear wavefunction, quadrupole properties and sta...