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Mathematical Formulation
"... Bartlett Window Functions represent a group of linear apodisation filters. In the present paper, we have studied the intensity Point Spread Functions of optical systems with these filters. Our studies reveal that apodising and superresolving characters of this filter oscillate in the range of value ..."
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Bartlett Window Functions represent a group of linear apodisation filters. In the present paper, we have studied the intensity Point Spread Functions of optical systems with these filters. Our studies reveal that apodising and superresolving characters of this filter oscillate in the range of values of 0.5 � � � 0.7. Another advantage of this type of filters is that linear apodisation filters are easiest to be fabricated __________________________________________________________________________________________
Mathematical Formulation
"... CO2 sequestration (capture, separation, and long term storage) in various geologic media (such as depleted oil reservoirs, saline aquifers, oceanic sediments) is a possible solution to reduce green house gas emissions. In this study we utilize the PFLOTRAN simulator to investigate geologic sequestra ..."
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CO2 sequestration (capture, separation, and long term storage) in various geologic media (such as depleted oil reservoirs, saline aquifers, oceanic sediments) is a possible solution to reduce green house gas emissions. In this study we utilize the PFLOTRAN simulator to investigate geologic sequestration of CO2. PFLOTRAN is a massively parallel 3D reservoir simulator for modeling subsurface multiphase (CO2, H2O), and multicomponent reactive flow and transport based on continuum scale mass and energy conservation equations. PFLOTRAN has an efficient and modular mechanism to handle variable switching during multiphase transitions, bringing great flexibility in choosing the set of primary variables, addition of new EoS, mixing rules, etc. The multiphase flow equations are sequentially coupled to reactive transport equations describing multicomponent chemical reactions within the formation. These reactions consist of aqueous speciation, and precipitation and dissolution of minerals including CO2bearing phases to describe aqueous and mineral CO2 sequestration. The effect of the injected CO2 on pH, CO2 concentration within the aqueous phase, mineral stability, and other factors can be evaluated with this model. This work is focused on complex density driven flow patterns within both CO2rich and aqueous phases, and their effect on the longterm containment of injected supercritical CO2. The efficiency of sequestration processes could be affected by many factors, including variations in fluid properties caused by CO2 dissolution and reservoir salinity, changes in geochemical and geophysical properties caused by mineral dissolution and precipitation, etc. This investigation will help provide criteria for site selection and to investigate leakage rates of CO2 to the surface.
Mathematical Formulations of Hebbian Learning
 Biol Cybern
, 2002
"... Several formulations of correlationbased Hebbian learning are reviewed. On the presynaptic side, activity is described either by a firing rate or by presynaptic spike arrival. The state of the postsynaptic neuron can be described by its membrane potential, its firing rate, or the timing of backprop ..."
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Cited by 93 (7 self)
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Several formulations of correlationbased Hebbian learning are reviewed. On the presynaptic side, activity is described either by a firing rate or by presynaptic spike arrival. The state of the postsynaptic neuron can be described by its membrane potential, its firing rate, or the timing
A Mathematical Formulation of the Equivalence Principle
"... AhstructA mathematical formulation of the equivalence principle is presented. This may lead to a better understanding and easier applications of the principle. _.____......_......_______.____. ..."
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Cited by 8 (0 self)
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AhstructA mathematical formulation of the equivalence principle is presented. This may lead to a better understanding and easier applications of the principle. _.____......_......_______.____.
The Heisenberg relation  mathematical formulations
"... Abstract. We study some of the possibilities for formulating the Heisenberg relation of quantum mechanics in mathematical terms. In particular, we examine the framework discussed by Murray and von Neumann, the family (algebra) of operators affiliated with a finite factor (of infinite linear dimensi ..."
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Cited by 1 (0 self)
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Abstract. We study some of the possibilities for formulating the Heisenberg relation of quantum mechanics in mathematical terms. In particular, we examine the framework discussed by Murray and von Neumann, the family (algebra) of operators affiliated with a finite factor (of infinite linear
On the Mathematical Formulation of Radiance
"... Radiance is widely regarded as the principal quantity in light transport theory. Yet, the concept of radiance in use today has remained mostly unchanged since Lambert’s work in the 18th century. His formulation of the measurement of light intensity is based on classical differentials, and is known t ..."
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Radiance is widely regarded as the principal quantity in light transport theory. Yet, the concept of radiance in use today has remained mostly unchanged since Lambert’s work in the 18th century. His formulation of the measurement of light intensity is based on classical differentials, and is known
Compact mathematical formulation for graph partitioning
 Optimization and Engineering
"... The graph partitioning problem consists of dividing the vertices of a graph into clusters, such that the weight of the edges crossing between clusters is minimized. We present a new compact mathematical formulation of this problem, based on the use of binary representation for the index of clusters ..."
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Cited by 8 (0 self)
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The graph partitioning problem consists of dividing the vertices of a graph into clusters, such that the weight of the edges crossing between clusters is minimized. We present a new compact mathematical formulation of this problem, based on the use of binary representation for the index of clusters
The Coordination of Arm Movements: An Experimentally Confirmed Mathematical Model
 Journal of neuroscience
, 1985
"... This paper presents studies of the coordination of voluntary human arm movements. A mathematical model is formulated which is shown to predict both the qualitative features and the quantitative details observed experimentally in planar, multijoint arm movements. Coordination is modeled mathematic ..."
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Cited by 688 (18 self)
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This paper presents studies of the coordination of voluntary human arm movements. A mathematical model is formulated which is shown to predict both the qualitative features and the quantitative details observed experimentally in planar, multijoint arm movements. Coordination is modeled
AN APPROACH FOR MATHEMATICAL FORMULATION OF THE SUSTAINABLE ECONOMY
"... Assuming that the concepts included in the fundamental description level of the sustainable economy are the concepts of sum and direction, a model is formulated herein using a mathematical structure used by the equilibrium Macroscopic Thermodynamic Theory. For this formulation, the following items a ..."
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Assuming that the concepts included in the fundamental description level of the sustainable economy are the concepts of sum and direction, a model is formulated herein using a mathematical structure used by the equilibrium Macroscopic Thermodynamic Theory. For this formulation, the following items
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