Abstract:
We show that not only the hierarchical quark CKM mixing matrix but also the "bimaximal" lepton flavor mixing matrix can be derived from the same mass matrix ansatz based on the broken permutation symmetry, by assuming the hierarchy of neutrino masses to be $m_1\simeq m_2 <

Abstract:
This paper demonstrates for fabricating the biopolymric optical planar waveguide. Gelatin and chitosan were mixed with ratio of 9 to 1 and stirred at 70°C with 1300 rpm. The blended biopolymer was spincoated on silicon substrate with 500 rpm and then dried in the oven at 50°C. The refractive indices of the prepared biopolymer clad and core layers of the waveguide were measured by the ellipsometry. The measured refractive indices of the two layers were obtained to be 1.516 and 1.52, respectively. The nanograting was successfully imprinted on surface of the biopolymeric waveguide.

Abstract:
Neuromodulatory inputs from brainstem systems modulate the normal function of spinal motoneurons by altering the activation properties of persistent inward currents (PICs) in their dendrites. However, the effect of the PIC on firing outputs also depends on its location in the dendritic tree. To investigate the interaction between PIC neuromodulation and PIC location dependence, we used a two-compartment model that was biologically realistic in that it retains directional and frequency-dependent electrical coupling between the soma and the dendrites, as seen in multi-compartment models based on full anatomical reconstructions of motoneurons. Our two-compartment approach allowed us to systematically vary the coupling parameters between the soma and the dendrite to accurately reproduce the effect of location of the dendritic PIC on the generation of nonlinear (hysteretic) motoneuron firing patterns. Our results show that as a single parameter value for PIC activation was either increased or decreased by 20% from its default value, the solution space of the coupling parameter values for nonlinear firing outputs was drastically reduced by approximately 80%. As a result, the model tended to fire only in a linear mode at the majority of dendritic PIC sites. The same results were obtained when all parameters for the PIC activation simultaneously changed only by approximately ±10%. Our results suggest the democratization effect of neuromodulation: the neuromodulation by the brainstem systems may play a role in switching the motoneurons with PICs at different dendritic locations to a similar mode of firing by reducing the effect of the dendritic location of PICs on the firing behavior.

Abstract:
Motivated by the indication that both the atmospheric and the solar neutrino puzzles may simultaneously be solved by (vacuum as well as matter-induced resonant) oscillations of two generations of neutrinos with large mixing, we have analyzed the data on the atmospheric and solar neutrinos assuming that all {\it three} neutrinos are maximally mixed. It is shown that the values of $ \Delta m^2 $ obtained from the two-generation analyses are still valid even in the three-generation scheme, i.e. the two puzzles can be solved simultaneously if $ \Delta m_{31}^2 \simeq 10^{-2} \, \mathrm{eV}^2 $ for the atmospheric neutrinos and $ \Delta m_{21}^2 \simeq 10^{-10} \, \mathrm{eV}^2 $ for solar neutrinos in the maximally mixed three-generation scheme.

Abstract:
We have studied the position dependence of neutrino energy on the Kusenko-Segr\`{e} mechanism as an explanation of the proper motion of pulsars. The mechanism is also examined in three-generation mixing of neutrinos and in a non-adiabatic case. The position dependence of neutrino energy requires the higher value of magnetic field such as $B\sim 3\times 10^{15}$ Gauss in order to explain the observed proper motion of pulsars. It is shown that possible non-adiabatic processes decrease the neutrino momentum asymmetry, whereas an excess of electron neutrino flux over other flavor neutrino fluxes increases the neutrino momentum asymmetry. It is also shown that a general treatment with all three neutrinos does not modify the result of the two generation treatment if the standard neutrino mass hierarchy is assumed.

Abstract:
We compute the cross section for the charged-current reaction ${}^{12}{\rm C}(\nu_{\mu},\mu^{-})$ near threshold using a relativistic mean-field formalism. A reduced value of the nucleon mass in the medium --- coupled to the finite muon mass --- leads to a 30\% reduction in the cross section relative to a free Fermi-gas estimate. Isovector RPA correlations, which are strongly repulsive at these momentum transfers, reduce the cross section by an additional 15-30\%. Hence, relativistic nuclear-structure effects can account for the more than a factor-of-two reduction in the cross section recently reported by the LSND collaboration.

Abstract:
Charged-current cross sections are calculated for quasielastic neutrino and antineutrino scattering using a relativistic meson-nucleon model. We examine how nuclear-structure effects, such as relativistic random-phase-approximation (RPA) corrections and momentum-dependent nucleon self-energies, influence the extraction of the axial form factor of the nucleon. RPA corrections are important only at low-momentum transfers. In contrast, the momentum dependence of the relativistic self-energies changes appreciably the value of the axial-mass parameter, $M_A$, extracted from dipole fits to the axial form factor. Using Brookhaven's experimental neutrino spectrum we estimate the sensitivity of M$_A$ to various relativistic nuclear-structure effects.

Abstract:
Recently, Kim's work (in press) introduced -Bernstein polynomials which are different Phillips' -Bernstein polynomials introduced in the work by (Phillips, 1996; 1997). The purpose of this paper is to study some properties of several type Kim's -Bernstein polynomials to express the -adic -integral of these polynomials on associated with Carlitz's -Bernoulli numbers and polynomials. Finally, we also derive some relations on the -adic -integral of the products of several type Kim's -Bernstein polynomials and the powers of them on . 1. Introduction Let denote the set of continuous functions on . For and , Kim introduced the -extension of Bernstein linear operator of order for as follows: where (see [1]). Here is called Kim's -Bernstein operator of order for . For , are called the Kim's -Bernstein polynomials of degree (see [2–6]). In [7], Carlitz defined a set of numbers inductively by with the usual convention of replacing by . These numbers are -analogues of ordinary Bernoulli numbers , but they do not remain finite for . So he modified the definition as follows: with the usual convention of replacing by (see [7]). These numbers are called the th Carlitz -Bernoulli numbers. And Carlitz's -Bernoulli polynomials are defined by As , we have and , where and are the ordinary Bernoulli numbers and polynomials, respectively. Let be a fixed prime number. Throughout this paper, , , , , and will denote the ring of rational integers, the field of rational numbers, the ring of -adic integers, the field of -adic rational numbers and the completion of algebraic closure of , respectively. Let be the normalized exponential valuation of such that . Let be regarded as either a complex number or a -adic number . If , we assume , and if , we normally assume . We say that is a uniformly differentiable function at a point and denote this property by if the difference quotient has a limit as (see [1, 3, 8–13]). For , let us begin with the expression representing a -analogue of the Riemann sums for (see [11]). The integral of on is defined as the limit as of the sums (if exists). The -adic -integral on a function is defined by (see [11]). As was shown in [3], Carlitz's -Bernoulli numbers can be represented by -adic -integral on as follows: Also, Carlitz's -Bernoulli polynomials can be represented (see [3]). In this paper, we consider the -adic analogue of Kim's -Bernstein polynomials on and give some properties of the several type Kim's -Bernstein polynomials to represent the -adic -integral on of these polynomials. Finally, we derive some relations on the -adic -integral of

Abstract:
We study the effects of the Kaluza-Klein gravitons in the Randall-Sundrum model on the recent BNL measurements of the muon (g-2) deviation from the standard model prediction. By examining the J-partial wave unitarity bounds of the elastic process gamma+gamma->gamma+gamma, the cut-off on the number of massive KK gravitons, n_c, has been introduced. We found that the recently measured (Delta a_mu) can be accommodated in the RS model, within the natural parameter space allowed by the perturbative unitarity. For example, dozens (hundreds) of the n_c for Lambda_pi=1-2 TeV (3 TeV) can explain the reported Delta a_mu.