Seifert surfaces in open books, and a new coding algorithm for links

We introduce a new standard form of a Seifert surface $F$. In that standard form, $F$ is obtained by successively plumbing flat annuli to a disk $D$, where the gluing regions are all in $D$. We show that any link has a Seifert surface in the standard form, and thereby present a new way of coding a link. We present an algorithm to read the code directly from a braid presentation.Comment: 10 page

Strong convergence of a fully discrete finite element approximation of the stochastic Cahn-Hilliard equation

We consider the stochastic Cahn-Hilliard equation driven by additive Gaussian noise in a convex domain with polygonal boundary in dimension $d\le 3$. We discretize the equation using a standard finite element method in space and a fully implicit backward Euler method in time. By proving optimal error estimates on subsets of the probability space with arbitrarily large probability and uniform-in-time moment bounds we show that the numerical solution converges strongly to the solution as the discretization parameters tend to zero.Comment: 25 page

Finite-difference schemes for nonlinear wave equation that inherit energy conservation property

AbstractWe propose two general finite-difference schemes that inherit energy conservation property from nonlinear wave equations, such as the nonlinear Klein–Gordon equation (NLKGE). One of proposed schemes is implicit and another is explicit. Many studies exist on FDSs that inherit energy conservation property from NLKGE and we can derive all of their schemes from the proposed general schemes in this paper. The most important feature of our procedure is a rigorous discretization of variational derivatives using summation by parts, which implies that the inherited properties are satisfied exactly. Because of this the derived schemes are expected to be numerically stable and yield solutions converging to PDE solutions. We make new FDSs for Fermi–Pasta–Ulam equation, string vibration equation, Shimoji–Kawai equation (SKE) and Ebihara equation and verify numerically the inheritance of the energy conservation property for NLKGE and SKE

CATATAN TENTANG PENGAJARAN LAFAL BAHASA INDONESIA TERHADAP PENUTUR JATI BAHASA JEPANG

Accurate pronunciation in learning Indonesian is one of the keys for a fluent communication and also a help in developing language skill. However, many native Japanese speakers do not pay much attention to their pronunciation. Generally, Japanese native speakers have difficulty in differentiation between /r/ and /l/, differentiation between /u/ and /ə/, pronunciation of ng /ŋ/ in syllable-initial, differentiation or pronunciation of consonants in syllable-final, and so on, in learning Indonesian. Furihata (2015) proposed his practice of teaching pronunciation for consonants in syllable-final with using the concept of mora phonemes in Japanese. This paper will discuss: (1) phonological features in Japanese, especially on mora phonemes, with focusing difference between Indonesian and Japanese, and (2) tendency of Indonesian pronunciation produced by Japanese native speakers

On the Beem-Nair Conjecture

For a simple linear algebraic group $G$, the chiral universal centralizer $\mathbf{I}_{G,k}$ is a vertex operator algebra, which is the chiralization of the universal centralizer $\mathfrak{Z}_G$. The variety $\mathfrak{Z}_G$ is identified with the spectrum of the equivariant Borel-Moore homology of the affine Grassmannian of the Langlands dual group of $G$. Beem and Nair conjectured that an open symplectic immersion from $\mathrm{KT}_G$, the Kostant-Toda lattice associated to a simple group $G$, to $\mathfrak{Z}_G$ gives rises to a free field realization of the chiral universal centralizer at the critical level. In this paper, we construct a free field realization of $\mathbf{I}_{G,k}$ at any level, which coincides with the one conjectured by Beem and Nair at the critical level. We give an explicit description of this construction in $SL_2(\mathbb{C})$-case.Comment: 14 page

STUDIES ON THE AGGLUTINATING AND HEMOLYSING FACTORS CONTAINED IN RICINUS COMMUNIS : II. STUDIES ON THE HEMOLYSING FACTOR

ArticleJournal of the Shinshu University. 2: 109-117(1952)departmental bulletin pape

Transfer function for vital infrasound pressures between the carotid artery and the tympanic membrane

While occupational injury is associated with numerous individual and work-related risk factors, including long working hours and short sleep duration, the complex mechanisms causing such injuries are not yet fully understood. The relationship between the infrasound pressures of the tympanic membrane [ear canal pressure (ECP)], detected using an earplug embedded with a low-frequency microphone, and the carotid artery [carotid artery pressure (CAP)], detected using a stethoscope fitted with the same microphone, can be quantitatively characterized using systems analysis. The transfer functions of 40 normal workers (19 to 57 years old) were characterized, involving the analysis of 446 data points. The ECP waveform exhibits a pulsatile character with a slow respiratory component, which is superimposed on a biphasic recording that is synchronous with the cardiac cycle. The respiratory ECP waveform correlates with the instantaneous heart rate. The results also revealed that various fatigue-related risk factors may affect the mean magnitudes of the measured pressures and the delay transfer functions between CAP and ECP in the study population; these factors include systolic blood pressure, salivary amylase activity, age, sleep duration, postural changes, chronic fatigue, and pulse rate. [https://doi.org/10.1121/1.4773270]ArticleJOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA. 133(2):1169-1186 (2013)journal articl

Development of Mine Hand: An Extended Prodder for Protected Demining Operations

Manual operations remain indispensable in the demining process despite the use of heavy machines in the field. Although considerable research has focused on demining sensors, automated machines and heavy machines, research has paid little attention to devices used in manual operations. The objective of this paper is to detail the development of a new device for manual operations. This machine increases the safety of manual operations and aids in the most dangerous process of APM removal

CEM2k and LAQGSM as Event Generators for Space-Radiation-Shielding and Cosmic-Ray-Propagation Applications

The CEM2k and LAQGSM codes have been recently developed at Los Alamos National Laboratory to simulate nuclear reactions for a number of applications. We have benchmarked our codes against most available measured data at incident particle energies from 10 MeV to 800 GeV and have compared our results with predictions of other current models used by the nuclear community. Here, we present a brief description of our codes and show illustrative results to show that CEM2k and LAQGSM can be used as reliable event generators for space-radiation-shielding, cosmic-ray-propagation, and other astrophysical applications. Finally, we show the use of our calculated cross sections together with experimental data from our LANL T-16 compilation to produce evaluated files which we use in the GALPROP model of galactic particle propagation to better constrain the size of the CR halo.Comment: 10 pages, 9 figures, LaTeX, talk given at the World Space Congress 2002, 34th COSPAR Scientific Assembly, Houston, Texas, USA, 10-19 October 2002, to appear in Advances in Space Researc