2019 Research and Creative Work Faculty
On the Computability of the Integral
The contractive nature of the Riemann Integral and existence of an ordered set of partitions via refinements make it possible to develop an effective algorithm for the Riemann integral. The obvious limitation of the Riemann integral is that there are a lot of functions that we encounter in applications that are not Riemann integrable.
The search for approaches to integration that suggest effective computational algorithms was a major motivation for the development of the domain-theoretic generalization of the Riemann integral by Edalat and Lawson to the space to bounded Lebesgue integrable functions. However, many functions that we integrate in applications are actually unbounded. In most applications, the smallest set that we need is the set of continuous functions and their pointwise limits. This is the set of Baire on functions. The N-integral and the B1 integral developed by Racca and Cabral are integrals that integrate unbounded functions. Such functions are non-absolutely integrable. Nonabsolute means the functions. Such functions are nonabsolutely integrable. Nonabsolute means the function is integrable but its absolute value is not. Lebesgue integrable functions are absolutely integrable.
The set of B1 integrable functions is smaller set than the set of Baire one integrable functions although it remains to be confirmed whether it coincides with the set of Baire one functions. This project aims develop a domain-theoretics approach to the N-integral and then to the B1 integral.
Rene Juna Claveria
Text book in Earth Science: Introduction to the Earth Science: Identifying Geohazards and Managing Earth
The Objectives of this of this endeavor are to provide students, faculty, professionals and environmental practitioners a reference tool of which they use in any undertaking. Though this textbook is primarily catered to environmental scientist, the underlying concepts however can be used in other disciplines. Allied fields such as geochemistry, geophysics, material science, geobotany, mining and metallurgical engineering are some of the disciplines which extensively use a lot of geological concepts. As a reference tool, students are provided information on the following: a) the Theory of Plate Tectonics, b) the rock cycle and the associated geological processes, c) geological time, c) geological hazards and disasters and e) earth/geological resources.
Maria Aileen Leah Guzman
Through data gathering, knowledge exchange, fieldwork, numerical modelling, and stakeholder engagement, the Philippine Groundwater Outlook (PhiGO) project will assess population and climate change impacts on regional groundwater translate these into usable flood and drought risk forecasts. Project benefits will be realized through short term, seasonal-scale forecasts which will aid in reactive preparedness, and through long term, decadal-scale forecasts which can be used to take proactive steps towards reducing the future physical and economic impact of extreme hydro meteorological events. PhiGO also focuses on quantifying the impacts of flood and drought and analyzing the cost-benefit of differing water and urban planning scenarios.
Impact of Gradual Policy Reforms in the Power Sector; Evidence from the Philippines
We aim to assess the effect of EPIRA on power rates. Changes in power prices are evolutionary owing to the fact that reform implementation remains incomplete. We want to examine the trend of electricity price and determine how it behaves before and after the reform was implemented. The effect of various elements of EPIRA such as the unbundling of rates at the DU level and the privatization of the NPC assets would help inform the nature of this trend. The timing of implementation of these elements at the DU level are different across different regions, providing a potential basis for identification strategies.
Comprising articles/characters for the part II of imagination and the possibility of Signification in Husserl and Hegel, this project retraces Hegel’s genealogy of the nascent mind, in which he posits imagination’s successive creations (images, universal’s, symbols) as culminating in the sign- making imagination (Zeichen machende Phantasie) that creates language. Recontextualising the later Hegel within Poststructuralist understandings of sign-systems, I suggest that an imagination reproductive not of images resembling an original, but of conventional and repeatable elements of signification (signs, signifieds), effectivity resolves the perennials problematics of the ‘arbitrary sign’ by demonstrating how a de facto necessity between word and meaning is engendered.