In general, a physical system consists of a finite or infinite number of degrees of freedom which may or may not interact. The dynamics is prescribed by a set of evolution equations which follow from varying the action with respect to the different degrees of freedom. A symmetry then corresponds to a group of transformations on the space time coordinates and/or the degrees of freedom that leave...

We present and discuss the properties and the main results of a cosmological model with a spontaneously-broken chiral symmetry. The model contains and relates dynamically, two spin-zero fields. The scalar field can provide the dynamical basis for inflation in the early universe. The pseudoscalar, Goldstone field can provide an early, small residual vacuum energy density, the absolute value of w...

Given a matroid M represented by a linear subspace L ⊂ C (equivalently by an arrangement of n hyperplanes in L), we define a graded ring R(L) which degenerates to the Stanley-Reisner ring of the broken circuit complex for any choice of ordering of the ground set. In particular, R(L) is Cohen-Macaulay, and may be used to compute the h-vector of the broken circuit complex of M . We give a geometr...

This paper questions whether it is possible to integrate free (or controlled) improvisation with electroacoustic materials with pre-composed soundfiles in a ‘live’ performance. It contributes to the on-going debate about the role of the performer and the advantages and disadvantages of working live. At the heart of this paper is a compositional drive that remains rooted within the acousmatic tr...

chipped stones, like many other archaeological artifacts, change in their original context. one of the most important changes is breakage. although it is clear that chipped stones which are gathered by archaeologists might have been broken, there have been few discussions made on the estimating the original number of chipped stones before breaking. in this article we have introduced different m...

With a high spatial resolution imaging instrument such as the Chandra/ACIS, one can confidently identify an X-ray source with only a few detected counts. The detection threshold of such sources, however, varies strongly across the field-of-view of the instrument. Furthermore, the low detection counting statistics, together with a typical steep source number-flux relation, causes more intrinsica...

We have further developed our rapid cell analyzer and sorter, so that we can now identify and separate functionally distinct groups of viable cells that have, or can be made to have, either different fluorescence intensities, different light-scattering characteristics, or different combinations of these two variables. In this instrument, cells are observed individually in suspension in the cent...

We examine the supersymmetric non-linear O(N) sigma model with a soft breaking term. In two dimensions, we found that the mass difference between supersymmetric partner fields vanishes accidentally. In three dimensions, the mass difference is observed but O(N) symmetry is always broken also in the strong coupling region. [email protected] 1