Partially linear models on Riemannian manifolds

In partially linear models the dependence of the response y on (x^T,t) is modeled through the relationship y=\x^T \beta+g(t)+\epsilon where \epsilon is independent of (x^T,t). In this paper, estimators of \beta and g are constructed when the explanatory variables t take values on a Riemannian manifold. Our proposal combine the flexibility of these models with the complex structure of a set of explanatory variables. We prove that the resulting estimator of \beta is asymptotically normal under the suitable conditions. Through a simulation study, we explored the performance of the estimators. Finally, we applied the studied model to an example based on real dataset.Comment: 7 pages, 2 figure

Winds driven by super-star clusters: The self-consistent radiative solution

Here we present a self-consistent stationary solution for spherically symmetric winds driven by massive star clusters under the impact of radiative cooling. We demonstrate that cooling may modify drastically the distribution of temperature if the rate of injected energy approaches a critical value. We also prove that the stationary wind solution does not exist whenever the energy radiated away at the star cluster center exceeds ~ 30% of the energy deposition rate. Finally we thoroughly discuss the expected appearance of super-star cluster winds in the X-ray and visible line regimes. The three solutions here found: the quasi-adiabatic, the strongly radiative wind and the inhibited stationary solution, are then compared to the winds from Arches cluster, NGC 4303 central cluster and to the supernebula in NGC 5253.Comment: 9 pages, 5 figures, accepted for publication by The Astrophysical Journa

FIRE PROTECTION AND LIFE SAFETY ANALYSIS OF THE 2704-HV HANFORD BUILDING

This report analyzes multiple aspects of fire protection and life safety design for the 2704-HV Building located at the Hanford Nuclear Reservation Site in Washington State. The analysis contained within focuses on both prescriptive and performance-based designs for the fire systems within the structure. The 2704-HV building is a two-story office building containing approximately 90 individual full-office spaces on each floor along with approximately 60 individual cubicle office spaces on each floor. There are various other types of gathering spaces within the 2704-HV layout including: conference rooms, showers, kitchen and dining areas, training rooms, and lobbies. The 2704-HV building was constructed in 1990 with the intent to serve as the primary Waste Treatment Plant (WTP) Operations Center for the low activity nuclear waste left behind from the Manhattan Project. During the construction of the facility, the building was deemed inadequate to process nuclear waste and therefore repurposed to serve as office space for operations and support personnel. The overall area of 2704-HV is 126,769 ft2 and the overall height of the building is 32 ft. The building’s geometry is rectangular with dimensions of 348 ft by 182 ft. In the prescriptive analysis, the means of egress, construction type, fire alarm system, and water- based fire suppression system located within the building were analyzed. After the in-depth analysis was performed, no deficiencies were noted in any of the systems. The 2704-HV building construction type, building height, building area, number of stories, and structural fire ratings comply with the International Building Code (IBC). In the performance-based analysis, three design fire scenarios were selected based on the degree of hazard to the facility and the occupants. Hand calculations were performed for these three fire scenarios, but only one was selected to be modeled using computer-based software known as Fire Dynamics Simulator (FDS). The first design fire scenario takes place in the main entrance lobby where two upholstered chairs located in the center of the lobby are ignited. Based on the combined peak heat release rate from the fire of these two chairs and external heat flux calculations, a third chair located at a distance of 2 meters across from the on-going fire auto-ignites. For this design fire scenario 1, sprinkler activation and secondary ignition were analyzed. From the results of fire scenario 1, sprinkler activation occurs at approximately 2.5 minutes or 152 seconds from ignition of a lobby chair. The chair peak HRR output is 4,168 kW at 11.25 minutes. Secondary ignition for the chair at 2 meters across from the on-going fire auto-ignites at approximately 139 seconds or 2.3 minutes. The secondary auto-ignition of the chair at 2 meters is based on an external critical heat flux of 10 kW/m2. The second design fire scenario takes place in one of the second-floor conference rooms. This scenario assumes that a conference room table and six chairs around it ignite. The heat release rate produced is evaluated along with the time to ignition of one of the chairs located along the wall of the conference room and directly across from the conference room table. For this fire scenario 2, secondary ignition, tenability conditions, and flashover conditions were analyzed. From the results of fire scenario 2, secondary ignition for a chair directly across from the conference room table against the wall at a distance of 1.52 meters auto-ignites at 1,300 seconds or 21.6 minutes. This assumes a critical heat flux of 10 kW/m2 for the polypropylene chair. Sprinkler activation was not analyzed for this fire scenario, instead untenable conditions were calculated. Untenable conditions per the calculation results show that the conference room becomes untenable very quickly at 35 seconds from the initial fuel package igniting. If the fire is not controlled through fire suppression means, the conference room would experience flashover when the fire reaches 1,538 kW which is approximately 25 minutes from the initial fuel package igniting. The third design fire takes place on the second floor in a cubicle office. The fire comes from a computer igniting and then secondary ignition occurs when a 7-gallon plastic trash bin within the cubicle auto-ignites. For this fire scenario 3, sprinkler activation, secondary ignition, and tenability conditions were analyzed. From the results of fire scenario 3, sprinkler activation occurs at approximately 4.6 minutes or 280.0 seconds from ignition of the cubicle computer. Secondary ignition for the 7-gallon trash bin located 1.2 meters from the on-going computer fire auto-ignites at approximately 799.0 seconds or 13.3 minutes. The secondary auto-ignition of the trash bin is based on an external heat flux of 10 kW/m2. Secondary ignition would never occur in this scenario unless sprinkler activation is neglected. This is because the sprinkler located at an approximate distance of 3 meters activates 8.7 minutes before an external critical heat flux of 10 kW/m2 is radiated onto the trash bin. Untenable conditions per the calculation results show that the cubicle area becomes untenable at approximately 8 minutes from the initial fuel package igniting. In this scenario, untenable conditions would not be reached because the fire would be suppressed by the sprinkler. Fire scenario 3 is the only design fire that was modeled using Pyrosim and Pathfinder. Sprinkler activation was neglected to analyze tenability conditions and to evaluate the available safe egress time versus required safe egress time (ASET Vs. RSET). Heat detection was modeled to determine the RSET detection time. The results for ASET were 16 minutes and 20 seconds and for RSET 6 minutes and 12 seconds. The results from the modeling analysis are satisfactory and validate the fire safety strategy currently installed in the 2704-HV building

A Note on the Estimation of the Hölder Constant

In this article, we develop a nonparametric estimator for the Hölder constant of a density function. We consider a simulation study to evaluate the performance of the proposal and construct smooth bootstrap confidence intervals. Also, we give a brief review over the impossibility to decide whether a density function is Hölder.Fil: Henry, Guillermo Sebastian. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Rodriguez, Daniela Andrea. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Sued, Raquel Mariela. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentin

SYSTEM AND METHOD FOR GENERATING FUND SUFFICIENCY SCORE FOR A CARDHOLDER

The present disclosure provides a system and a method for generating fund sufficiency score for a cardholder. The proposed system generates a fund sufficiency score when there is not enough fund available in account of the cardholder to complete a transaction. The fund sufficiency score is communicated to an issuer through ISO message or API interface. Further the cardholder also receives a message stating confirmation of authorization for the transaction. The proposed system allows the cardholder to pay his bill even when the cardholder account has less funds. However, if the fund sufficiency score for the cardholder is less then transaction of the cardholder is rejected. The system increases revenue of merchants. Also, the system encourages electronic payment methods and saves time for both the merchant and the cardholder

International IT Transfer in Multinational Corporations

Multinational Corporations (MNCs) compete in a dynamic environment that calls for process integration and leverage of resources. MNCs require maximizing flexibility and local responsiveness, while maintaining control and integration. The appropriate global management of Information Technologies (IT) may aid in this endeavor by fostering the transfer of valuable IT, resulting in the reduction of development efforts duplication. Few research works have focused on the IT transfer process across national borders. Even fewer do so within the boundaries of organizations, rather than between firms. This research explores the factors that determine the extent to which subsidiaries of MNCs adopt usable IT that was developed at headquarters, thus fostering integration and leveraging the development resources

Computation of conformal representations of compact Riemann surfaces

We find a system of two polynomial equations in two unknowns, whose solution allows to give an explicit expression of the conformal representation of a simply connected three sheeted compact Riemann surface onto the extended complex plane. This function appears in the description of the ratio asymptotic of multiple orthogonal polynomials with respect to so called Nikishin systems of two measures.Comment: To appear in Mathematics of Computatio