39 research outputs found
Athanasius' contra arianos iv: a reconsideration
No full textThe purpose of this thesis is to provide a through reconsideration of the treatise Oratio IV Contra Arianos (hereinafter referred to as CAR IV), which historically is attributed to St. Athanasius. This reconsideration addresses three main areas of inquiry:1. Is it defensible to consider Athanasius to be the author of CAR IV in terms of linguistics and theology?2. Since the Athanasian premise is not universally accepted, what other authors are suggested by patristics scholars?3. Regardless of authorship, what theological value does CAR IV hold for the contemporary reader? It is this author's contention that CAR IV, though a lesser-known writing of the Nicene period, is a very significant treatise. CAR IV offers a valuable insight into the theologically rich and complex world of the fourth century church. In CAR IV, by way of refutation, we are introduced to a view as radical and persistent as Arianism but less often discussed - modalistic monarchianism. An understanding of all the varied doctrines that did battle at Nicea leads to a greater appreciation for the endurance of the tradition expressed in the Nicene creed. In conclusion, the present author finds the argument that CAR IV is genuinely Athanasian but separate from the other three Orations to be the most convincing theory yet expounded. CAR IV would be more properly titled Contra Marcellum. Perhaps Athanasius never gave this title to the work in deference to Marcellus. Only Athanasius, Marcellus' friend, would demonstrate this consideration. It is also suggested that CAR IV was an incomplete rough draft. The author of this thesis agrees with this reasoning also, and after contemplation would further this explanation by hypothesizing that CAR IV was an incomplete text of Athanasius that was collected and arranged in its current form posthumously by students of the Bishop
Self-similarity of higher order moving averages
No full textIn this work, higher-order moving average polynomials are defined by straightforward generalization of the standard moving average. The self-similarity of the polynomials is analyzed for fractional Brownian series and quantified in terms of the Hurst exponent H by using the detrending moving average method. We prove that the exponentH of the fractional Brownian series and of the detrending moving average variance asymptotically agree for the first-order polynomial. Such asymptotic values are compared with the results obtained by the simulations. The higher-order polynomials correspond to trend estimates at shorter time scales as the degree of the polynomial increases. Importantly, the increase of polynomial degree does not require to change the moving average window. Thus trends at different time scales can be obtained on data sets with the same size. These polynomials could be interesting for those applications relying on trend estimates over different time horizons (financial markets) or on filtering at different frequencies (image analysis)
Design of multi-band compact antennas for automotive communications
No full textThis paper presents the design of two different quad-band antennas for GSM/DCS/PCS communication equipment to be mounted inside vehicles (cars, trucks, ...). The first solution is an antenna printed on a printed circuit board (PCB), thus reducing the cost virtually to zero, while the second solution is a three-dimensional patch antenna. Both antennas have been designed to be integrated on the PCB, with many other electronic components. The simulated return loss and radiation patterns are reported and analyzed
MATRIX FORMULATION OF SUPERSPACE ON 1D LATTICE WITH TWO SUPERCHARGES
No full textFollowing the approach developed by some of the authors in recent papers and using a matrix representation for the superfields, we formulate an exact supersymmetric theory with two supercharges on a one dimensional lattice. In the superfield formalism supersymmetry transformations are uniquely defined and do not suffer of the ambiguities recently pointed out by some authors. The action can be written in a unique way and it is invariant under all supercharges. A modified Leibniz rule applies when supercharges act on a superfield product and the corresponding Ward identities take a modified form but hold exactly at least at the tree level, while their validity in presence of radiative corrections is still an open problem and is not considered here
