Search results for " Metrics"
showing 10 items of 149 documents
Removable sets for intrinsic metric and for holomorphic functions
2019
We study the subsets of metric spaces that are negligible for the infimal length of connecting curves; such sets are called metrically removable. In particular, we show that every totally disconnected set with finite Hausdorff measure of codimension 1 is metrically removable, which answers a question raised by Hakobyan and Herron. The metrically removable sets are shown to be related to other classes of "thin" sets that appeared in the literature. They are also related to the removability problems for classes of holomorphic functions with restrictions on the derivative.
Segmentation, involvement and the reach-engagementrelationship: evidence from a QR code advertising campaign
2013
This paper presents a procedure that practitioners must follow before assessing the reach-‐engagement relationship in a “pull” campaign. It is suggested to check for the independence between this relationship and that between segmentation and product involvement. If the two relationships are independent, then segmentation becomes less relevant when assessing the reach-‐engagement relationship. Otherwise, an unobservable segmentation variable must be accounted for in the reach-‐engagement relationship. These aspects of segmentation are never mentioned in the extant literature, which treats segmentation in “pull” campaigns the same way in which targeting is designed in “push” campaigns. Th…
Distortion of quasiconformal maps in terms of the quasihyperbolic metric
2013
Abstract We extend a theorem of Gehring and Osgood from 1979–relating to the distortion of the quasihyperbolic metric by a quasiconformal mapping between Euclidean domains–to the setting of metric measure spaces of Q -bounded geometry. When the underlying target space is bounded, we require that the boundary of the image has at least two points. We show that even in the manifold setting, this additional assumption is necessary.
A Proposal to Compare Consistently the Inequality Among the Poor
2013
A poverty index should be sensitive to the number of poor people, the extent of the shortfall of the poor, and the inequality among the poor. A difficulty arises when inequality among the poor needs to be assessed. The inequality may be analyzed in terms of either incomes or gaps. Depending on what side we focus on, the inequality level comparisons may be contradictory. This paper proposes a reinterpretation of the inequality component involved in the decompositions of well-known poverty indices. The alternative indices we introduce measure equally the income and gap inequality among the poor. The comparisons in inequality as measured by these indices are then independent of the viewpoint. …
Marketing communication metrics for social media
2011
The objective of this paper is to develop a conceptual framework for measuring the effectiveness of social media marketing communications. Specifically, we study whether the existing marketing communications performance metrics are still valid in the changing digitalised communications landscape, or whether it is time to rethink them, or even to devise entirely new metrics. Recent advances in information technology and marketing bring a need to re-examine measurement models. We combine two important research topics and set directions for potential future research. Metrics to measure marketing communications performance have developed towards a customer orientation. There is no broadly accep…
Realizing women´s right to maternal health: A study of awareness of rights and utilization of maternal health services among reproductive age women i…
2019
BackgroundMaternal mortality rates are still unacceptably high in many countries, indicating violation of women´s human right to life and health. Access to adequate information about maternal health rights and available services are essential aspects of realizing women´s right to accessible health care. This study aimed at assessing awareness of the right to access maternal health services among women who had recently given birth, and the association between such awareness and the utilization of maternal health services in two districts in Tanzania.MethodsThis study was cross sectional in design. Interviews were conducted with women who gave birth within one year prior to the survey in two …
About Combining Metric Learning and Prototype Generation
2014
Distance metric learning has been a major research topic in recent times. Usually, the problem is formulated as finding a Mahalanobis-like metric matrix that satisfies a set of constraints as much as possible. Different ways to introduce these constraints and to effectively formulate and solve the optimization problem have been proposed. In this work, we start with one of these formulations that leads to a convex optimization problem and generalize it in order to increase the efficiency by appropriately selecting the set of constraints. Moreover, the original criterion is expressed in terms of a reduced set of representatives that is learnt together with the metric. This leads to further im…
Landscape structure, resilience and ecogeographic relations between agro-forestry and forestry landscapes of Sicily: quantitative approaches
2014
Landscape ecology provides a wide spectrum of useful techniques for quantitative analysis of the land-mosaic patterns, on the basis of areal, linear and punctual parameters. According to the scale of analysis, data collection can be costly and time-consuming; this is especially true in areas with a very heterogeneous land-mosaic patterns and landscape-types for environmental variability and cultural reasons. Aims of this work are: 1) to assess the land-mosaic complexity of the traditional agricultural and agro-forestry landscapes (PAfT) of Sicily; 2) to highlight interfaces and structural gradients between main forest areas and closed PAfTs. These aims have the main purpose to pinpoint agri…
Applicazione dell’analisi tridimensionale negli studi di Ecologia del paesaggio
2010
Topography and terrain morphology play a key role in landscape structure and functionality. Landscape ecology modelling based on patch-corridor-matrix usually analyzes the area of study as a plane surface. However, this assumption could be critically far from reality, especially in mountainous areas, and lead to significant mistakes in calculation. Different areas of study were analyzed using both classical and more recent indices. Calculation was performed using a bi-dimensional terrain model and a three-dimensional model in which length and surface area values were much closer to real world values. Results were confronted to understand the different sensitivity of various analysis tools t…
The impact of the software’s choice on dynamic daylight simulations’ results: A comparison between Daysim and 3ds Max Design®
2015
Abstract Evaluating indoor daylight availability is extremely important in order to define the characteristics of an environment in terms of visual comfort and energy performances of lighting systems. The criticism of the static calculation approach based on Daylight Factor led to the development of the Climate Based Daylight Modeling (CBDM) one. Dynamic simulations are performed thanks to the use of specific software and the choice of a calculation tool or another could provide different output results. Therefore the aim of this paper is to compare results of dynamic daylight simulations carried out with two different software, Daysim and 3ds Max Design® and referred to a simple office loc…