in this paper a new method is proposed for interpretation of 2d magnetic data, using multiples of the analytic signal method, in which the analytic signal of magnetic anomaly is used directly to compute the depth and the structural index of the source instead of using its higher order derivatives. this method only needs the computation of the first order derivatives of the magnetic anomaly, so ...

In this paper, by combining modular forms and characteristic forms, we obtain general anomaly cancellation formulas of any dimension. For .4kC 2/–dimensional manifolds, our results include the gravitational anomaly cancellation formulas of Alvarez-Gaumé and Witten in dimensions 2, 6 and 10 [1] as special cases. In dimension 4k C 1 , we derive anomaly cancellation formulas for index gerbes. In d...

Anomaly is an incident or event that cannot be explained by the dominant theories. Anomalies are situated in confronting with the efficient market theory, so that it provides conditions for stock trading strategies with additional returns in case of existing predetermined returns. Therefore, in this study, the anomaly due to monthly effects on the stock volume trading and the Tehran Stock Excha...

We have studied the spatial and temporal variation of the downward shortwave radiation (DSR) at the surface of the Earth during ENSO events for a 21-year period over the tropical and subtropical Pacific Ocean (40 S–40 N, 90 E–75 W). The fluxes were computed using a deterministic model for atmospheric radiation transfer, along with satellite data from the ISCCP-D2 database, reanalysis data from ...

Near infrared (NIR) optical tomography is an imaging technique in which internal images of optical properties are reconstructed with the boundary measurements of light propagation through the medium. Recent advances in instrumentation and theory have led to the use of this method for the detection and characterization of tumors within the female breast tissue. Most image reconstruction approach...

An index relation dim ker a†a− dim ker aa† = 1 is satisfied by the creation and annihilation operators a† and a of a harmonic oscillator. A hermitian phase operator, which inevitably leads to dim ker a†a − dim ker aa† = 0, cannot be consistently defined. If one considers an s + 1 dimensional truncated theory, a hermitian phase operator of Pegg and Barnett which carries a vanishing index can be ...

We present ALARM (HierarchicAL AppRoach for AnoMaly Detection), a hierarchical approach for correlation and prioritization of alerts in distributed networks. The goal is to monitor, classify, correlate and assess a large number of alerts generated at spatially distributed sites on the Internet. The alerts correspond to anomalies and hence potential unknown threats. To facilitate our analysis, w...

A new method is presented to study supersymmetric quantum mechanics. Using relative scattering techniques, basic relations are derived between Krein's spectral shift function, the Witten index, and the anomaly. The topological invariance of the spectral shift function is discussed. The power of this method is illustrated by treating various models and calculating explicitly the spectral shift f...