False theta functions and companions to Capparelli's identities

Capparelli conjectured two modular identities for partitions whose parts satisfy certain gap conditions, where were motivated by the calculation of characters for the standard modules of certain affine Lie algebras and by vertex operator theory. These identities were subsequently proved and refined by Andrews, who related them to Jacobi theta functions, and also by Alladi-Andrews-Gordon, Capparelli, and Tamba-Xie. In this paper we prove two new companions to Capparelli's identities, where the evaluations are expressed in terms of Jacobi theta functions and false theta functions.Comment: 17 pages; references update

2 øko-planter sviner mindre end én

Samdyrkning kan bruges til at reducere kvælstofudvaskning. På ESOF konferencen om uddannelser i København viste lektor Hanne L. Kristensen og Ph.D. studerende Yue Xie fra Institut for Fødevarer Aarhus Universitet hvorledes rødder fra porrer, blomkål og farvevajd vokser når de vokser hver for sig eller sammen i lange jordfyldte rør. Samdyrkning af fx. porre der har et overfladisk rodsystem med farvevajd der har et dybt rodsystem øger planternes evne til at optage kvælstof fra jorden og nedsætter dermed risikoen for kvælstofudvaskning end når porre vokser alene. Demonstrationen var en del af projektet InterVeg under CORE organic II programmet (GUDP)

The molecular spiral arms of NGC 6946

From CO-12(J=1 to 0) observations at 45 seconds resolution Tacconi and Young (1989) have found evidence for enhancements in both the CO emissivity and the massive star formation efficiency (MSFE) on optical spiral arms of the bright spiral galaxy NGC 6946. In the optically luminous and well-defined spiral arm in the NE quadrant, there are enhancements in both the H2 surface density and MSFE relative to the interarm regions. In contrast, a poorly defined arm in the SW shows no arm-interarm contrast in the MSFE. To further investigate the molecular gas content of these two spiral arms, researchers have made CO-12 J=2 to 1 and 3 to 2 observations with the James Clerk Maxwell Telescope. In the J=2 to 1 line, they made observations of the NE and SW spiral arm and interarm regions in 4 x 9 10 seconds spaced grids (36 points per grid). Because of decreased sensitivity in the J=3 to 2 line, they were limited to mapping the two arm regions in 2 x 3 10 seconds spaced grids (6 points per grid). The centers of each of the grids lie 2.4 minutes to the NE and 2.3 minutes to the SW of the nucleus of NGC 6946. With the CO J=2 to 1 data researchers are able to fully resolve the two observed spiral arms in NGC 6946. In both cases the CO emission is largely confined to the optical spiral arm regions with the peak observed T asterisk sub A being up to 4 times higher on the spiral arms than in the interarm regions. Researchers are currently estimating massive star formation efficiencies on and off the spiral arms through direct comparison of the CO maps with an H alpha image. They are also comparing the CO J=2 to 1 data with an HI map made at similar resolution. Thus, they will be able to determine structure in all components of the IS on scales of less than 20 inches

A comparative study of early afterdepolarization-mediated fibrillation in two mathematical models for human ventricular cells

Early afterdepolarizations (EADs), which are abnormal oscillations of the membrane potential at the plateau phase of an action potential, are implicated in the development of cardiac arrhythmias like Torsade de Pointes. We carry out extensive numerical simulations of the TP06 and ORd mathematical models for human ventricular cells with EADs. We investigate the different regimes in both these models, namely, the parameter regimes where they exhibit (1) a normal action potential (AP) with no EADs, (2) an AP with EADs, and (3) an AP with EADs that does not go back to the resting potential. We also study the dependence of EADs on the rate of at which we pace a cell, with the specific goal of elucidating EADs that are induced by slow or fast rate pacing. In our simulations in two-and three-dimensional domains, in the presence of EADs, we find the following wave types: (A) waves driven by the fast sodium current and the L-type calcium current (Na-Ca-mediated waves); (B) waves driven only by the L-type calcium current (Ca-mediated waves); (C) phase waves, which are pseudo-travelling waves. Furthermore, we compare the wave patterns of the various wave-types (Na-Ca-mediated, Ca-mediated, and phase waves) in both these models. We find that the two models produce qualitatively similar results in terms of exhibiting Na-Ca-mediated wave patterns that are more chaotic than those for the Ca-mediated and phase waves. However, there are quantitative differences in the wave patterns of each wave type. The Na-Ca-mediated waves in the ORd model show short-lived spirals but the TP06 model does not. The TP06 model supports more Ca-mediated spirals than those in the ORd model, and the TP06 model exhibits more phase-wave patterns than does the ORd model

Chamber Music Recital, February 25, 1993

This is the concert program of the Chamber Music Recital on Thursday, February 25, 1993 at 8:00 p.m., at the Concert Hall, 855 Commonwealth Avenue. Works performed were Contrapunctus IX by Johann Sebastian Bach, Ricercar del primotuono by Giovanni Gabrieli, Morgan Musik by Paul Hindemith, Trio for Flute, Oboe and Clarinet, Op. 87 by Ludwig van Beethoven, Concerto for Two Horns and Piano by Francesco Anton Rosetti, Drie Equale by L. v. Beethoven. Digitization for Boston University Concert Programs was supported by the Boston University Humanities Library Endowed Fund

Assessing the benefits of Ajax in mobile learning systems design : a thesis submitted in partial fulfillment of the requirements for a Master of Information Studies at Massey University

Today, mobile technology is rapidly changing our life with increasing numbers of services supported by mobile phones, including mobile Internet access and Web-based mobile learning. The growth of the wireless Internet technology opens new path for people to study in anytime and any location. Using Web-based mobile application to present learning resources for mobile learners is a challenge for developers, because the mobile Internet access performance over GPRS networks is often unacceptably slow. A new Web development model, Ajax, may help to address this problem. Ajax (Asynchronous JavaScript and XML), is a new desktop approach to Web application development that uses client-side scripting to provide a seamless user application experience and reduce traffic between client and server. In this paper, we address the question of whether mobile Ajax provides measurable performance advantages over non-Ajax mobile learning applications. A real-life Web-based mobile learning application performance over a GPRS network study was done based on comparing an Ajax application and an Active Server Pages (ASP) application with identical functionality. Our results suggest that mobile Ajax can reduce the bandwidth requirement by 71%, and cut the server's response time in half. In addition, these performance improvements were noticed by users in our small group usability test

Student Chamber Music Concert, April 23, 1992

This is the concert program of the Student Chamber Music Concert on Thursday, April 23, 1992 at 6:30 p.m., at the Marshall Room, 855 Commonwealth Avenue. Works performed were III. Presto from Piano Trio No. 1 in D major, Op. 70 "The Ghost" by Ludwig van Beethoven, I. Adagio - Allegro from Quintet in E-flat major, Op. 71 by L. v. Beethoven, Suite for Four Trombones by Desiré Dondeyne, II. Canzona Variée from Quartet for Saxophones, Op. 109 by Alexander Glazunov, I. Modéré and II. Movement de Menuet from Trio Sonata by Maurice Ravel, Sonata "St. Mark" by Tomaso Albinoni, III. Adagio molto from String Quartet in A major, Op. 41 by Robert Schumann, and III. The Shepherd's Lament: Andante espressivo and IV. Finale: Allegro from Trio, Op. 63 by Carl Maria von Weber. Digitization for Boston University Concert Programs was supported by the Boston University Humanities Library Endowed Fund