Gauge theories induced by bosons in fundamental representation

A lattice theory of scalar bosons in the fundamental representation of the gauge group $SU(N_c)$ and of the global symmetry group $SU(N_f)$ is shown to induce a standard gauge theory only at large $N_f$. The system is in a deconfined phase at strong scalar self-coupling and any finite $N_f$. The requirement of convergence of the effective gauge action imposes a lower limit on the scalar mass.Comment: 11 page

The Development of an Interpersonal-Developmental-Existential Assessment Inventory for Determining Therapeutic Focus

Increasingly, insurance companies, legislators, and funding agencies have examined the efficacy of psychotherapy and counseling, and have moved towards the briefer forms of therapy. Though some clinicians resist a move to greater accountability, the majority are concerned with providing an effective service to individuals, couples, and families experiencing biopsychosocial difficulties. This study involved the development of an instrument that will assist therapists in determining a therapeutic focus, which is seen as an important component in brief psychotherapy. There were two distinct phases to this study. In Phase One, intake interviews at a large Midwestern university counseling center were audiotaped. Using a content analysis these interviews were examined using Budman and Gurman\u27s (1986) Interpersonal-Developmental-Existential model as a coding strategy. Client statements were then translated into item form, using the client\u27s actual statement with changes made to fit the item response options. In Phase Two, the test constructed, the 129 item IDE Assessment Inventory (IDEA), was given to 394 undergraduate psychology students. Items were analyzed using Principal Components Analysis, a correlation matrix of item to scale Pearson correlation coefficients, and a measure of scale homogeneity, the separation index. Estimates of scale reliability were made using Chronbach\u27s coefficient alpha. Results showed that the four scales were relatively homogeneous and reliable. Using the item analysis statistics, items were moved, deleted or retained. In the final obtained composition there were 16 items in the Interpersonal scale, 14 in the Developmental, 15 in Existential, and 20 in the Defense Style scale. Further research is needed in using the IDE Assessment Form with actual counseling clients, to determine its utility. Additionally, future studies will be aimed at establishing construct validity of the inventory

Asymptotic boundary forms for tight Gabor frames and lattice localization domains

We consider Gabor localization operators $G_{\phi,\Omega}$ defined by two parameters, the generating function $\phi$ of a tight Gabor frame $\{\phi_\lambda\}_{\lambda \in \Lambda}$, parametrized by the elements of a given lattice $\Lambda \subset \Bbb{R}^2$, i.e. a discrete cocompact subgroup of $\Bbb{R}^2$, and a lattice localization domain $\Omega \subset \Bbb{R}^2$ with its boundary consisting of line segments connecting points of $\Lambda$. We find an explicit formula for the boundary form $BF(\phi,\Omega)=\text{A}_\Lambda \lim_{R\rightarrow \infty}\frac{PF(G_{\phi,R\Omega})}{R}$, the normalized limit of the projection functional $PF(G_{\phi,\Omega})=\sum_{i=0}^{\infty}\lambda_i(G_{\phi,\Omega})(1-\lambda_i(G_{\phi,\Omega}))$, where $\lambda_i(G_{\phi,\Omega})$ are the eigenvalues of the localization operators $G_{\phi,\Omega}$ applied to dilated domains $R\Omega$, $R$ is an integer and $\text{A}_\Lambda$ is the area of the fundamental domain of the lattice $\Lambda$.Comment: 35 page

Asymptotic inference for nearly unstable AR(p) processes

In this paper nearly unstable AR( p) processes (in other words, models with characteristic roots near the unit circle) are studied. Our main aim is to describe the asymptotic behavior of the least-squares estimators of the coefficients. A convergence result is presented for the general complex-valued case, The limit distribution is given by the help of some continuous time AR processes. We apply the results for real-valued nearly unstable AR(p) models. In this case the limit distribution can be identified with the maximum likelihood estimator of the coefficients of the corresponding continuous time AR processes

REED-SOLOMON CODED FREQUENCY-HOPPED PACKET RADIO NETWORKS WITH RECEIVER MEMORY, THROUGHPUT-DELAY ANALYSIS

This paper investigates the performance of frequency hopped packet radio networks which employ a memory at the receiver. The main feature of the memory is that all successive transmissions are utilized for packet reconstruction. Two schemes based on RS codes are investigated. System performance is analyzed in both slotted and unslotted channels. Fixed and adaptive packet lengths are considered. It is demonstrated that it is possible to achieve high throughput even in dense jamming environments

The Effects of Iron Filling On Some Mechanical and Physical Properties of a Sawdust Particleboard

This research work was aimed at producing particleboard from sawdust (matrix) and iron filling (particulate) under the same conditions as ordinary particleboard produced from sawdust alone and their properties compared. Sawdust –iron fillings particleboards were produced using a sawdust of particle size 1.18mm and iron fillings of size 300μm, 20g binder (urea formaldehyde) concentration, hot pressing temperature of 160°C, applied pressure of 10 tons equivalent to 12.5Mpa, hot pressing time of 12 minutes throughout the production of the particleboards. The weight of sawdust was kept constant (50g) while the weight of iron filling was varied (i.e from 10, 20, 30, 40 and 50g). A controlled sample of only sawdust particleboard was produced and tested under the same condition as those of the sawdust- iron filling particleboard. The mechanical properties tested showed that the particleboard from 40g iron filling has the highest mechanical properties (MOR, MOE and UTS of 255.20Mpa, 432.43Mpa and 22Mpa). Particleboard produced from only sawdust alone was found to have the least mechanical properties that is MOR, MOE and UTS of 140.63Mpa, 46.19Mpa and 7Mpa respectively. The water absorption and thickness swell test results showed that the particleboard of 40g iron fillings has the highest water resistance capacity and least thickness swell of 33.69% and 5.87% respectively