Search results for "FORMS"

Coherent Quantum Tomography

2016

We discuss a quantum mechanical indirect measurement method to recover a position dependent Hamilton matrix from time evolution of coherent quantum mechanical states through an object. A mathematical formulation of this inverse problem leads to weighted X-ray transforms where the weight is a matrix. We show that such X-ray transforms are injective with very rough weights. Consequently, we can solve our quantum mechanical inverse problem in several settings, but many physically relevant problems we pose also remain open. We discuss the physical background of the proposed imaging method in detail. We give a rigorous mathematical treatment of a neutrino tomography method that has been previous…

Exponential sums related to Maass forms

2019

We estimate short exponential sums weighted by the Fourier coefficients of a Maass form. This requires working out a certain transformation formula for non-linear exponential sums, which is of independent interest. We also discuss how the results depend on the growth of the Fourier coefficients in question. As a byproduct of these considerations, we can slightly extend the range of validity of a short exponential sum estimate for holomorphic cusp forms. The short estimates allow us to reduce smoothing errors. In particular, we prove an analogue of an approximate functional equation previously proven for holomorphic cusp form coefficients. As an application of these, we remove the logarithm …

Clustering of waveforms-data based on FPCA direction

2010

The necessity of nding similar features of waveforms data recorded for earthquakes at di erent time instants is here considered, since eventual similarity between these functions could suggest similar behavior of the source process of the corresponding earthquakes. In this paper we develop a clustering algorithm for curves based on directions de ned by an application of PCA to functional data.

Clustering of waveforms based on FPCA direction

2010

Looking for curves similarity could be a complex issue characterized by subjective choices related to continuous transformations of observed discrete data (Chiodi, 1989). Waveforms correlation techniques have been introduced to charac- terize the degree of seismic event similarity (Menke, 1999) and in facilitating more accurate relative locations within similar event clusters by providing more precise timing of seismic wave (P and S) arrivals (Phillips, 1997). In this paper functional analysis (Ramsey, and Silverman, 2006) is considered to highlight common characteristics of waveforms-data and to summarize these charac- teristics by few components, by applying a variant of a classical clust…

Functional Principal components direction to cluster earthquake waveforms

2010

Looking for curves similarity could be a complex issue characterized by subjective choices related to continuous transformations of observed discrete data (Chiodi, 1989). In this paper we combine the aim of finding clusters from a set of individual curves to the functional nature of data, applying a variant of a k-means algorithm based on the principal component rotation of data. We apply a classical clustering method to rotated data, according to the direction of maximum variance. A k-means clustering algorithm based on PCA rotation of data is proposed, as an alternative to methods that require previous interpolation of data based on splines or linear fitting (Garc´ıa- Escudero and Gordali…

FPCA Algorithm For Waveform Clustering

2011

Similar features between waveform data recorded for earthquakes at different time instants could suggest similar behavior of the source process of the corresponding source seismic process. In this paper we combine the aim of finding clusters from a set of individual waveform curves with the functional nature of data, applying a variant of a k-means algorithm based on the principal component rotation of data. This approach overcome the limitation of the cross-correlation, and represents an alternative to methods based on the interpolation of data by splines or linear fitting.

Human, Technologies and Quality of Education: Proceedings of Scientific Papers, 2019

2019

Isolation and differential expression of two isoforms of the ROBO2/Robo2 axon guidance receptor gene in humans and mice.

2006

AbstractExpression of Robo receptor molecules is important for axon guidance across the midline of the mammalian central nervous system. Here we describe novel isoform a of human ROBO2, which is initially strongly expressed in the fetal human brain but thereafter only weakly expressed in adult brain and a few other tissues. The known isoform b of ROBO2 shows a more or less ubiquitous expression pattern, suggesting diverse functional roles. The genomic structure and distinct expression patterns of Robo2a and Robo2b have been conserved in the mouse, but in contrast to human ROBO2a mouse Robo2a is also abundant in adult brain. Exons 1 and 2 of human ROBO2a lie in an inherently unstable DNA seg…

At the Risk of Exaggerating : How Do Listeners React to Hyperbole?

2003

The intensive focus on the reception process of figures of speech, in terms of the psychological processes operated on their understanding, explains that nowadays a crucial limitation in figurative language theories is the production process of non-literal forms, as joint activities between speaker and hearer. Since the object of study has traditionally been the figurative sentence, either in isolation or in the context of an artificially constructed text, it is not surprising that the collaborative nature of figures has been overlooked. This paper focuses on hyperbole, a long neglected trope, despite its pervasive frequency of occurrence and co-occurrence with other tropes in everyday spee…

Exploring the nexus between financial sector reforms and the emergence of digital banking culture – Evidences from a developing country

2017

Several financial and banking sector reform programs were instituted in different countries over the last three decades. The underlining purpose of these reforms was largely to improve banking sector supervision and regulation, introduce bank privatization mechanism, introduce clearance and settlement systems, infuse competition and to stimulate financial innovation. The objectives of this study are to 1) review the relevant published literature and market survey reports on the financial & banking sector reforms undertaken in Pakistan and elsewhere, 2) analyze how these reform programs develop digital banking culture and increase financial inclusion in the country and 3) guide future resear…