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2021

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Knowtext: Auto-Generated Knowledge Graphs For Custom Domain Applications, Bojan Bozic, Jayadeep Kumar Sasikumar, Tamara Matthews Dec 2021

Knowtext: Auto-Generated Knowledge Graphs For Custom Domain Applications, Bojan Bozic, Jayadeep Kumar Sasikumar, Tamara Matthews

Articles

While industrial Knowledge Graphs enable information extraction from massive data volumes creating the backbone of the Semantic Web, the specialised, custom designed knowledge graphs focused on enterprise specific information are an emerging trend. We present “KnowText”, an application that performs automatic generation of custom Knowledge Graphs from unstructured text and enables fast information extraction based on graph visualisation and free text query methods designed for non-specialist users. An OWL ontology automatically extracted from text is linked to the knowledge graph and used as a knowledge base. A basic ontological schema is provided including 16 Classes and Data type Properties. The …


C∗-Extreme Points Of Positive Operator Valued Measures And Unital Completely Positive Maps, Tathagata Banerjee, B. V.Rajarama Bhat, Manish Kumar Dec 2021

C∗-Extreme Points Of Positive Operator Valued Measures And Unital Completely Positive Maps, Tathagata Banerjee, B. V.Rajarama Bhat, Manish Kumar

ISI Best Publications

We study the quantum (C∗) convexity structure of normalized positive operator valued measures (POVMs) on measurable spaces. In particular, it is seen that unlike extreme points under classical convexity, C∗-extreme points of normalized POVMs on countable spaces (in particular for finite sets) are always spectral measures (normalized projection valued measures). More generally it is shown that atomic C∗-extreme points are spectral. A Krein–Milman type theorem for POVMs has also been proved. As an application it is shown that a map on any commutative unital C∗-algebra with countable spectrum (in particular Cn) is C∗-extreme in the set of unital completely positive …


Activation Of Prp28 Atpase By Phosphorylated Npl3 At A Critical Step Of Spliceosome Remodeling, F.-L. Yeh, S.-L. Chang, G. R. Ahmed, H.-I. Liu, L. Tung, C.-S. Yeh, L. S. Lanier, Corina Maeder, C.-M. Lin, S.-C. Tsai, W.-Y. Hsiao, W.-H. Chang, T.-H. Chang Dec 2021

Activation Of Prp28 Atpase By Phosphorylated Npl3 At A Critical Step Of Spliceosome Remodeling, F.-L. Yeh, S.-L. Chang, G. R. Ahmed, H.-I. Liu, L. Tung, C.-S. Yeh, L. S. Lanier, Corina Maeder, C.-M. Lin, S.-C. Tsai, W.-Y. Hsiao, W.-H. Chang, T.-H. Chang

Chemistry Faculty Research

Splicing, a key step in the eukaryotic gene-expression pathway, converts precursor messenger RNA (pre-mRNA) into mRNA by excising introns and ligating exons. This task is accomplished by the spliceosome, a macromolecular machine that must undergo sequential conformational changes to establish its active site. Each of these major changes requires a dedicated DExD/H-box ATPase, but how these enzymes are activated remain obscure. Here we show that Prp28, a yeast DEAD-box ATPase, transiently interacts with the conserved 5' splice-site (5'SS) GU dinucleotide and makes splicing-dependent contacts with the U1 snRNP protein U1C, and U4/U6.U5 tri-snRNP proteins, Prp8, Brr2, and Snu114. We further …


Characterization And In Vitro And In Vivo Evaluation Of Tacrolimus-Loaded Poly(Ε-Caprolactone) Nanocapsules For The Management Of Atopic Dermatitis, Guilherme Dos Anjos Camargo, Leandro Ferreira, Diego José Schebelski, Amanda Martinez Lyra Dec 2021

Characterization And In Vitro And In Vivo Evaluation Of Tacrolimus-Loaded Poly(Ε-Caprolactone) Nanocapsules For The Management Of Atopic Dermatitis, Guilherme Dos Anjos Camargo, Leandro Ferreira, Diego José Schebelski, Amanda Martinez Lyra

Faculty and Student Publications

Background: Tacrolimus (TAC) is a drug of natural origin used in conventional topical dosage forms to control atopic dermatitis. However, direct application of the drug often causes adverse side effects in some patients. Hence, drug nanoencapsulation could be used as an improved novel therapy to mitigate the adverse effects and enhance bioavailability of the drug. Methods: Physicochemical properties, in vitro drug release experiments, and in vivo anti-inflammatory activity studies were performed. Results: TAC-loaded nanocapsules were successfully prepared by the interfacial deposition of preformed polymer using poly(ε-caprolactone) (PCL). The nanoparticu-late systems presented a spherical shape with a smooth and regular surface, …


(R1480) Heat Transfer In Peristaltic Motion Of Rabinowitsch Fluid In A Channel With Permeable Wall, Mahadev M. Channakote, Dilipkumar V. Kalse Dec 2021

(R1480) Heat Transfer In Peristaltic Motion Of Rabinowitsch Fluid In A Channel With Permeable Wall, Mahadev M. Channakote, Dilipkumar V. Kalse

Applications and Applied Mathematics: An International Journal (AAM)

This paper is intended to investigate the effect of heat transfer on the peristaltic flow of Rabinowitsch fluid in a channel lined with a porous material. The Navier -Stokes equation governs the channel's flow, and Darcy's law describes the permeable boundary. The Rabinowitsch fluid model's governing equations are solved by utilizing approximations of the long-wavelength and small number of Reynolds. The expressions for axial velocity, temperature distribution, pressure gradient, friction force, stream function are obtained. The influence on velocity, pressure gradient, friction force, and temperature on pumping action of different physical parameters is explored via graphs.


(R1519) On Some Geometric Properties Of Non-Null Curves Via Its Position Vectors In \Mathbb{R}_1^3, Emad Solouma, Ibrahim Al-Dayel Dec 2021

(R1519) On Some Geometric Properties Of Non-Null Curves Via Its Position Vectors In \Mathbb{R}_1^3, Emad Solouma, Ibrahim Al-Dayel

Applications and Applied Mathematics: An International Journal (AAM)

In this work, the geometric properties of non-null curves lying completely on spacelike surface via its position vectors in the dimensional Minkowski 3-space \mathbb{R}_1^3 are studied. Also, we give a few portrayals for the spacelike curves which lie on certain subspaces of \mathbb{R}_1^3. Finally, we present an application to demonstrate our insights.


(R1497) On The Invariant Subspaces Of The Fractional Integral Operator, Mehmet Gürdal, Anar Adiloglu Nabiev, Meral Ayyıldız Dec 2021

(R1497) On The Invariant Subspaces Of The Fractional Integral Operator, Mehmet Gürdal, Anar Adiloglu Nabiev, Meral Ayyıldız

Applications and Applied Mathematics: An International Journal (AAM)

In operator theory, there is an important problem called the invariant subspace problem. This important problem of mathematics has been clear for more than half a century. However the solution seems to be nowhere in sight. With this motivation, we investigate the invariant subspaces of the fractional integral operator in the Banach space with certain conditions in this paper. Also by using the Duhamel product method, unicellularity of the fractional integral operator on some space is obtained and the description of the invariant subspaces is given.


(R1468) Global Analysis Of An Seirs Model For Covid-19 Capturing Saturated Incidence With Treatment Response, David A. Oluyori, Helen O. Adebayo, Ángel G.C. Pérez Dec 2021

(R1468) Global Analysis Of An Seirs Model For Covid-19 Capturing Saturated Incidence With Treatment Response, David A. Oluyori, Helen O. Adebayo, Ángel G.C. Pérez

Applications and Applied Mathematics: An International Journal (AAM)

In this work, a new SEIRS model with saturated incidence rate and piecewise linear treatment response is proposed to describe the dynamics of COVID-19. It is assumed that the treatment response is proportional to the number of infected people as long as the incidence cases are within the capacity of the healthcare system, after which the value becomes constant, when the number of confirmed cases exceeds the carrying capacity of the available medical facilities. Thus, the basic reproduction number of the model is obtained. It is proved that the disease-free equilibrium is globally asymptotically stable when the basic reproduction number …


(R1056) Effect Of Rotation On Plane Waves Of Generalized Magneto-Thermoelastic Medium With Voids Under Thermal Loading Due To Laser Pulse, Mohamed I.A. Othman, Ezaira R.M. Edeeb Dec 2021

(R1056) Effect Of Rotation On Plane Waves Of Generalized Magneto-Thermoelastic Medium With Voids Under Thermal Loading Due To Laser Pulse, Mohamed I.A. Othman, Ezaira R.M. Edeeb

Applications and Applied Mathematics: An International Journal (AAM)

The investigation in this paper deals with the rotation of the magneto-thermoelastic solid and with voids subjected to thermal loading due to laser pulse. The problem is studied in the context of three theories of generalized magneto thermoelasticity: Lord-Schulman (L-S), Green-Lindsay (G-L) and the coupled theory (CD) with the effect of rotation, magnetic field, thermal loading and voids. The methodology applied here is using the normal mode analysis to solve the physical problem to obtain the exact expressions for the displacement components, the stresses, the temperature, and the change in the volume fraction field have been shown graphically by comparison …


(R1466) Ideals And Filters On A Lattice In Neutrosophic Setting, Lemnaouar Zedam, Soheyb Milles, Abdelhamid Bennoui Dec 2021

(R1466) Ideals And Filters On A Lattice In Neutrosophic Setting, Lemnaouar Zedam, Soheyb Milles, Abdelhamid Bennoui

Applications and Applied Mathematics: An International Journal (AAM)

The notions of ideals and filters have studied in many algebraic (crisp) fuzzy structures and used to study their various properties, representations and characterizations. In addition to their theoretical roles, they have used in some areas of applied mathematics. In a recent paper, Arockiarani and Antony Crispin Sweety have generalized and studied these notions with respect to the concept of neutrosophic sets introduced by Smarandache to represent imprecise, incomplete and inconsistent information. In this article, we aim to deepen the study of these important notions on a given lattice in the neutrosophic setting. We show their various properties and characterizations, …


(R1513) The Dynamical Study Of Variable Mass Test Particle In Nonlinear Sense Of Restricted 3-Body Problem With Heterogeneous Primaries, Sada Nand Prasad, Kumari Shalini, Abdullah A. Ansari Dec 2021

(R1513) The Dynamical Study Of Variable Mass Test Particle In Nonlinear Sense Of Restricted 3-Body Problem With Heterogeneous Primaries, Sada Nand Prasad, Kumari Shalini, Abdullah A. Ansari

Applications and Applied Mathematics: An International Journal (AAM)

The main idea of this paper is to study the non-linear stability property of the motion of the test particle which is moving under the influence of heterogeneous primaries having N-layers with different densities as well as varying its mass according to Jeans law. The system is also perturbed by the small perturbations in Coriolis as well as centrifugal forces. We evaluate the equations of motion of the test particle under the influence of the above said perturbations. From this system of equations of motion, we reveal analytically the locations of stationary points as well as the non-linear stability.


Chapter 3.1: Visualization Of The Nernst Equation Via 3-D Topo Surfaces: E⁰ Plateaus, Left-Hand Bluffs, Front Cliffs And Reaction Paths, Garon C. Smith, Md Mainul Hossain Dec 2021

Chapter 3.1: Visualization Of The Nernst Equation Via 3-D Topo Surfaces: E⁰ Plateaus, Left-Hand Bluffs, Front Cliffs And Reaction Paths, Garon C. Smith, Md Mainul Hossain

Water Topos: A 3-D Trend Surface Approach to Viewing and Teaching Aqueous Equilibrium Chemistry

A new 3-D graphical representation of oxidation–reduction (redox) processes in aqueous solutions has been developed utilizing a composition grid for which the x-axis carries the activity of the reduced form of the redox couple and the y-axis carries the activity of the oxidized form. The Nernst equation potential corresponding to the redox couple’s activities at each grid point is plotted above it as a z-coordinate. This creates a 3-D trend surface (a topo) over the grid. The topos typically have a steep left-hand bluff and a precipitous front cliff that are encountered when one or the other …


(R1488) Transformation Of Glucokinase Under Variable Rate Constants And Thermal Conditions: A Mathematical Model, Mukhtar Ahmad Khanday, Roohi Bhat Dec 2021

(R1488) Transformation Of Glucokinase Under Variable Rate Constants And Thermal Conditions: A Mathematical Model, Mukhtar Ahmad Khanday, Roohi Bhat

Applications and Applied Mathematics: An International Journal (AAM)

The glucokinase (GK) in cells plays a pivotal role in the regulation of carbohydrate metabolism and acts as a sensor of glucose. It helps us to control glucose levels during fast and food intake conditions through triggering shifts in metabolism or cell functions. Various forms of hypoglycaemia and hyperglycaemia occur due to the transformations of the gene of the Glucokinase. The mathematical modelling of enzyme dynamics is an emerging research area to serve its role in biological investigations. Thus, it is imperative to establish a mathematical model to understand the kinetics of native and denatured forms of enzyme-GK under thermal …


Quantum State Estimation And Tracking For Superconducting Processors Using Machine Learning, Shiva Lotfallahzadeh Barzili Dec 2021

Quantum State Estimation And Tracking For Superconducting Processors Using Machine Learning, Shiva Lotfallahzadeh Barzili

Computational and Data Sciences (PhD) Dissertations

Quantum technology has been rapidly growing; in particular, the experiments that have been performed with superconducting qubits and circuit QED have allowed us to explore the light-matter interaction at its most fundamental level. The study of coherent dynamics between two-level systems and resonator modes can provide insight into fundamental aspects of quantum physics, such as how the state of a system evolves while being continuously observed. To study such an evolving quantum system, experimenters need to verify the accuracy of state preparation and control since quantum systems are very fragile and sensitive to environmental disturbance. In this thesis, I look …


Beating The Odds: High-Growth Schools Based On The Act Aspire Examinations, Serving Low-Income Communities, Charlene A. Reid, Sarah C. Mckenzie Dec 2021

Beating The Odds: High-Growth Schools Based On The Act Aspire Examinations, Serving Low-Income Communities, Charlene A. Reid, Sarah C. Mckenzie

Arkansas Education Reports

This section highlights high-growth schools across Arkansas based on the ACT Aspire examinations in Math and English Language Arts (ELA) for the 2020-2021 academic year. For these awards, we consider schools where at least 66% of the student body is eligible for free or reduced-price lunch (FRL).

High-poverty schools are ranked by school level (Elementary, Middle, or High) based on Overall Growth (Math and ELA combined), as well as for growth in each content area independently. High-poverty schools are also ranked within each region of the state. Tables include the region in which the school is located, the number of …


Uhsp Faculty Handbook December 2021 Dec 2021

Uhsp Faculty Handbook December 2021

Handbooks

No abstract provided.


Parental Opinions And Perceptions Regarding Informal Stem Education, Christine L. Moskalik Dec 2021

Parental Opinions And Perceptions Regarding Informal Stem Education, Christine L. Moskalik

Publications & Research

The purpose of this research was 1) to develop a new instrument to explore factors parents value regarding informal science, technology, engineering, and mathematics (STEM) enrichment experiences for their children in Illinois, and 2) to adapt and use an existing instrument to assess the degree to which parental perceptions of their child’s STEM attitudes and beliefs align with the child’s actual STEM attitudes and beliefs. A quantitative cross-sectional survey design was implemented over two parts. During Part I, a new survey was developed to quantitatively measure the degree to which certain factors are valued by parents when considering STEM enrichment …


(R1505) A Note On Large Deviations In Insurance Risk, Stefan Gerhold Dec 2021

(R1505) A Note On Large Deviations In Insurance Risk, Stefan Gerhold

Applications and Applied Mathematics: An International Journal (AAM)

We study large and moderate deviations for an insurance portfolio, with the number of claims tending to infinity, without assuming identically distributed claims. The crucial assumption is that the centered claims are bounded, and that variances are bounded below. From a general large deviations upper bound, we obtain an exponential bound for the probability of the average loss exceeding a threshold. A counterexample shows that a full large deviation principle, including also a lower bound, does not follow from our assumptions. We argue that our assumptions make sense, in particular, for life insurance portfolios and discuss how to apply our …


A Comparison Of Drill And Broadcast Planting Methods Forbiomass Production Of Two Legume Cover Crops, Ricardo St Aime, Enoch Noh, William C. Bridges, Sruthi Narayanan Dec 2021

A Comparison Of Drill And Broadcast Planting Methods Forbiomass Production Of Two Legume Cover Crops, Ricardo St Aime, Enoch Noh, William C. Bridges, Sruthi Narayanan

Open Access Publishing Fund

The effects of drill and broadcast planting methods on cover crop biomass production depend on various environmental and operational factors. We investigated whether drilling and broadcasting result in different amounts of biomass production by crimson clover (Trifolium incarnatum L.) and hairy vetch (Vicia villosa Roth) in the upstate of South Carolina, and results vary when seeding rates are increased by 50% from the standard value (22.4 kg ha−1). Field trials were conducted during the fall–winter of 2019–2020 (season one) and 2020–2021 (season two) at the Piedmont Research and Education Center in Pendleton, SC, USA. Cover crop (hairy vetch, crimson clover), …


Whose Turn Now? The Enactment & Expansion Of Private School Choice Programs Across The Us, Yujie Sude, Patrick Wolf Dec 2021

Whose Turn Now? The Enactment & Expansion Of Private School Choice Programs Across The Us, Yujie Sude, Patrick Wolf

School Choice Demonstration Project

Private school choice policies have been enacted and expanded across the United States since the 1990s. By January 2021, 30 states plus the District of Columbia and Puerto Rico hosted 67 distinct private school choice policies. Why have some states adopted and expanded this education reform while others have demurred? Which states are more likely to adopt specific types of private school choice initiatives in the coming years? We present the results of an exploratory empirical analysis examining which state-level political, economic, and educational factors predict past policy decisions regarding the enactment and expansion of private school choice in 49 …


Learning Orbital Dynamics Of Binary Black Hole Systems From Gravitational Wave Measurements, Brendan Keith, Akshay Khadse, Scott E. Field Dec 2021

Learning Orbital Dynamics Of Binary Black Hole Systems From Gravitational Wave Measurements, Brendan Keith, Akshay Khadse, Scott E. Field

Faculty and Student Publications

We introduce a gravitational waveform inversion strategy that discovers mechanical models of binary black hole (BBH) systems. We show that only a single time series of (possibly noisy) waveform data is necessary to construct the equations of motion for a BBH system. Starting with a class of universal differential equations parameterized by feed-forward neural networks, our strategy involves the construction of a space of plausible mechanical models and a physics-informed constrained optimization within that space to minimize the waveform error. We apply our method to various BBH systems including extreme and comparable mass ratio systems in eccentric and noneccentric orbits. …


Monarch Science Observer, Volume 12, College Of Sciences, Old Dominion University Dec 2021

Monarch Science Observer, Volume 12, College Of Sciences, Old Dominion University

College of Sciences Newsletter

Winter 2021 issue of Monarch Science Observer, ODU College of Sciences Newsletter.


Essential Programs And Services Report Of Findings: Gifted And Talented Education, Lisa Morris, Amy Johnson Dec 2021

Essential Programs And Services Report Of Findings: Gifted And Talented Education, Lisa Morris, Amy Johnson

School Funding - Essential Programs and Services (EPS)

Report Overview

This review of the Gifted and Talented (G&T) funding component within the Essential Programs and Services (EPS) education cost model begins with a summary of our most recent (2019) analyses of the G&T funding patterns and trends in Maine. Next we provide updated data (Part I) about G&T program implementation and enrollment in Maine public schools in FY2020 and FY2021 to confirm that trends from prior studies persist. We then provide a summary of the available research literature on the rationale and effectiveness of G&T programming in order to revisit the underlying tenets of this aspect of Maine’s …


Hsva: Hierarchical Semantic-Visual Adaptation For Zero-Shot Learning, Shiming Chen, Guo Sen Xie, Yang Liu, Qinmu Peng, Baigui Sun, Hao Li, Xinge You, Ling Shao Dec 2021

Hsva: Hierarchical Semantic-Visual Adaptation For Zero-Shot Learning, Shiming Chen, Guo Sen Xie, Yang Liu, Qinmu Peng, Baigui Sun, Hao Li, Xinge You, Ling Shao

Machine Learning Faculty Publications

Zero-shot learning (ZSL) tackles the unseen class recognition problem, transferring semantic knowledge from seen classes to unseen ones. Typically, to guarantee desirable knowledge transfer, a common (latent) space is adopted for associating the visual and semantic domains in ZSL. However, existing common space learning methods align the semantic and visual domains by merely mitigating distribution disagreement through one-step adaptation. This strategy is usually ineffective due to the heterogeneous nature of the feature representations in the two domains, which intrinsically contain both distribution and structure variations. To address this and advance ZSL, we propose a novel hierarchical semantic-visual adaptation (HSVA) framework. …


Automated Discovery And Interpretation Of Ada-Compliant Door Placards, John J. Feilmeier Dec 2021

Automated Discovery And Interpretation Of Ada-Compliant Door Placards, John J. Feilmeier

Computer Science and Information Technology Faculty

A familiar difficulty to any new student on campus is making one’s way from classroom A to classroom B. Facilities with different wings, multiple floors, and irregular floorplans can magnify this challenge, while students with vision impairments are impacted even more by the challenge of identifying the destination. This thesis explored different methods of discovering Americans with Disabilities Act (ADA)- compliant room identifying placards (“plaques”) and identifying the text on the sign. The plaque detection was accomplished with both standard image manipulation techniques and a Histogram of Oriented Gradients (HOG) (Dalal & Triggs, 2005) object detector. The text reading utilized …


Quantum State Tomography Of Molecules By Ultrafast Diffraction, Ming Zhang, Shuqiao Zhang, Yanwei Xiong, Hankai Zhang, Anatoly A. Ischenko, Oriol Vendrell, Xiaolong Dong, Xiangxu Mu, Martin Centurion, Haitan Xu, R. J.Dwayne Miller, Zheng Li Dec 2021

Quantum State Tomography Of Molecules By Ultrafast Diffraction, Ming Zhang, Shuqiao Zhang, Yanwei Xiong, Hankai Zhang, Anatoly A. Ischenko, Oriol Vendrell, Xiaolong Dong, Xiangxu Mu, Martin Centurion, Haitan Xu, R. J.Dwayne Miller, Zheng Li

Martin Centurion Publications

Ultrafast electron diffraction and time-resolved serial crystallography are the basis of the ongoing revolution in capturing at the atomic level of detail the structural dynamics of molecules. However, most experiments capture only the probability density of the nuclear wavepackets to determine the time-dependent molecular structures, while the full quantum state has not been accessed. Here, we introduce a framework for the preparation and ultrafast coherent diffraction from rotational wave packets of molecules, and we establish a new variant of quantum state tomography for ultrafast electron diffraction to characterize the molecular quantum states. The ability to reconstruct the density matrix, which …


Identifying Functional Profiles Of Challenging Behaviors In Autism Spectrum Disorder With Unsupervised Machine Learning, Emily Daskas Dec 2021

Identifying Functional Profiles Of Challenging Behaviors In Autism Spectrum Disorder With Unsupervised Machine Learning, Emily Daskas

Computational and Data Sciences (MS) Theses

Machine learning and deep learning methods are becoming increasingly used in the understanding, identification, and improvement of the diagnosis and treatment of Autism Spectrum Disorder. People with ASD often exemplify challenging behaviors that can put their safety, education, and general quality of life at risk. Challenging behaviors are driven by one of four functions. The combination of common occurrences of challenging behaviors and their respective behavioral functions are unique to the individual and circumstance, and the most successful therapies account for both challenging behaviors and their respective functions. Therefore, it is important that research is done on these concepts to …


Synthesis Of Molecular Probes For The Detection Of Toxic Analytes, Rashid Mia Dec 2021

Synthesis Of Molecular Probes For The Detection Of Toxic Analytes, Rashid Mia

Dissertations

Two different types of molecular probes have been synthesized. The first family of probes is the coumarin class of compounds. These chemodosimters are referred to as Low Molecular Weight Fluorescent probes (LMFP). The other type of molecular probe is a macrocycle known as a pillar[5]arene receptor.

The chemodosimters (2.12a-c and 3.12a) were synthesized in four to five steps. The photophysical properties were extensively studied in various solvent systems (DMSO, CH3CN, DMF, MeOH, EtOH, Me2CO, MeCO2Et, CHCl3, C6H5Me, and C6H6). Dimethyl sulfoxide (DMSO) …


(R1463) On The Central Limit Theorem For Conditional Density Estimator In The Single Functional Index Model, Abbes Rabhi, Nadia Kadiri, Fatima Akkal Dec 2021

(R1463) On The Central Limit Theorem For Conditional Density Estimator In The Single Functional Index Model, Abbes Rabhi, Nadia Kadiri, Fatima Akkal

Applications and Applied Mathematics: An International Journal (AAM)

The main objective of this paper is to investigate the nonparametric estimation of the conditional density of a scalar response variable Y, given the explanatory variable X taking value in a Hilbert space when the sample of observations is considered as an independent random variables with identical distribution (i.i.d.) and are linked with a single functional index structure. First of all, a kernel type estimator for the conditional density function (cond-df) is introduced. Afterwards, the asymptotic properties are stated for a conditional density estimator when the observations are linked with a single-index structure from which we derive an central …


(R1508) Stability And Zero Velocity Curves In The Perturbed Restricted Problem Of 2 + 2 Bodies, Rajiv Aggarwal, Dinesh Kumar, Bhavneet Kaur Dec 2021

(R1508) Stability And Zero Velocity Curves In The Perturbed Restricted Problem Of 2 + 2 Bodies, Rajiv Aggarwal, Dinesh Kumar, Bhavneet Kaur

Applications and Applied Mathematics: An International Journal (AAM)

The present study investigates the existence and linear stability of the equilibrium points in the restricted problem of 2+2 bodies including the effect of small perturbations epsilon-1 and espilon-2 in the Coriolis and centrifugal forces respectively. The less massive primary is considered as a straight segment and the more massive primary a point mass. The equations of motion of the infinitesimal bodies are derived.We obtain fourteen equilibrium points of the model, out of which six are collinear and rest non-collinear with the centers of the primaries. The position of the equilibrium points are affected by the small perturbation in centrifugal …