Open Access. Powered by Scholars. Published by Universities.®

Physical Sciences and Mathematics Commons™

Open Access. Powered by Scholars. Published by Universities.®

Discipline
Institution
Keyword
Publication Year
Publication
Publication Type
File Type

Articles 68581 - 68610 of 294411

Full-Text Articles in Physical Sciences and Mathematics

Chemical And Physical Weathering Rates Of Basaltic Volcanic Regions: Utilizing Space In Place Of Time In The Hawaiian Archipelago, Benjamin Clyde Barton Dec 2021

Chemical And Physical Weathering Rates Of Basaltic Volcanic Regions: Utilizing Space In Place Of Time In The Hawaiian Archipelago, Benjamin Clyde Barton

Theses and Dissertations

With large populations living in tropical regions of the world with volcanic substrates, understanding basalt weathering processes is vital. The Hawaiian Islands are an excellent natural analogue to study chemical weathering rates due to a uniform bedrock (basalt), large variations in rainfall, and varying ages across the islands. Laterite weathering profiles (LWP) develop over time through chemical weathering, where LWP thickness is influenced by many factors, including precipitation and time. Using the rapid, non-invasive horizontal-to-vertical spectral ratio (HVSR) method, LWP thicknesses can be estimated to constrain chemical weathering rates. Studying the laterite weathering profiles developed from basaltic bedrock of varying …


Evidence For Surface Effects On The Intermolecular Interactions In Fe (Ii) Spin Crossover Coordination Polymers, Thilini K. Ekanayaka, Hannah Kurz, Kayleigh A. Mcelveen, Guanhua Hao, Esha Mishra, Alpha T. N’Diaye, Rebecca Lai, Birgit Weber, Peter A. Dowben Dec 2021

Evidence For Surface Effects On The Intermolecular Interactions In Fe (Ii) Spin Crossover Coordination Polymers, Thilini K. Ekanayaka, Hannah Kurz, Kayleigh A. Mcelveen, Guanhua Hao, Esha Mishra, Alpha T. N’Diaye, Rebecca Lai, Birgit Weber, Peter A. Dowben

Department of Physics and Astronomy: Faculty Publications

From X-ray absorption spectroscopy (XAS) and X-ray photoemission spectroscopy (XPS) it is evident that the spin state transition behavior of Fe(II) spin crossover coordination polymer crystallites at the surface differs from the bulk. A comparison of four different coordination polymers reveals that the observed surface properties may differ from bulk for a variety of reasons. There are Fe(II) spin crossover coordination polymers with either almost complete switching of the spin state at the surface or no switching at all. Oxidation, differences in surface packing, and changes in coordination could all contribute to making the surface very different from the bulk. …


Butte-Silver Bow Medical Monitoring Program Plan, Mike Mcanulty, Eric Hassler Dec 2021

Butte-Silver Bow Medical Monitoring Program Plan, Mike Mcanulty, Eric Hassler

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.


Single-Variable Porous Nanomaterial Series From Polymer Structure-Directing Agents, Morgan Stefik Dec 2021

Single-Variable Porous Nanomaterial Series From Polymer Structure-Directing Agents, Morgan Stefik

Faculty Publications

Block polymer structure-directing agents (SDA) enable the production of porous nanoscale materials. Most strategies rely upon polymer equilibration where diverse morphologies are realized in porous functional materials. This review details how solvent selectivity determines the polymer SDA behaviors, spanning from bulk-type to solution-type. Equilibrating behavior of either type, however, obscures nanostructure cause-and-effect since the resulting sample series convolve multiple spatial variations. Solution-type SDA behaviors include both dynamic and persistent micelles. Persistent micelle templates (PMT) use high solvent selectivity for kinetic entrapment. PMTs enable independent wall thickness control with demonstrated 2 Å precision alterations. Unimodal PMT pore size distributions have spanned …


Semantically Meaningful Sentence Embeddings, Rojina Deuja Dec 2021

Semantically Meaningful Sentence Embeddings, Rojina Deuja

School of Computing: Dissertations, Theses, and Student Research

Text embedding is an approach used in Natural Language Processing (NLP) to represent words, phrases, sentences, and documents. It is the process of obtaining numeric representations of text to feed into machine learning models as vectors (arrays of numbers). One of the biggest challenges in text embedding is representing longer text segments like sentences. These representations should capture the meaning of the segment and the semantic relationship between its constituents. Such representations are known as semantically meaningful embeddings. In this thesis, we seek to improve upon the quality of sentence embeddings that capture semantic information.

The current state-of-the-art models are …


An Analysis Of Comparison-Based Sorting Algorithms, Jacob M. Gomez, Edgar Aponte, Brad Isaacson Dec 2021

An Analysis Of Comparison-Based Sorting Algorithms, Jacob M. Gomez, Edgar Aponte, Brad Isaacson

Publications and Research

Our names are Edgar Aponte and Jacob Gomez and we are Applied Mathematics students at City Tech. Our mentor is Prof. Isaacson and we conducted an analysis of comparison-based sorting algorithms, meaning that they can sort items of any type for which a “less-than” relation is defined. We implemented 24 comparison-based sorting algorithms and elaborated on 6 for our poster. We analyzed the running times of these sorting algorithms with various sets of unsorted data and found that introspective sort and timsort were the fastest and most efficient, with introspective sort being the very fastest.


Analyze And Examine Wildfire Events In California, Aleena Hoodith, Sakim Zaman, Safoan Hossain, Jiehao Huang Dec 2021

Analyze And Examine Wildfire Events In California, Aleena Hoodith, Sakim Zaman, Safoan Hossain, Jiehao Huang

Publications and Research

•A wildfire is an unplanned, unwanted, uncontrolled fire in an area of combustible vegetation starting in rural areas and urban areas. •Recent studies have shown that the effect of anthropogenic climate change has fueled the wildfire events, leading to an increase in the annual burned areas and number of events. •California is one of the places having the most deadliest and destructive wildfire seasons. With the global warming effect of 1°C since 1850, the 20 largest wildfires events that have occurred in California, 8 of them were in 2017. (Center For Climate And Energy Solutions) •Climate change is primarily caused …


How Community Participation In Water And Sanitation Interventions Impacts Human Health, Wash Infrastructure And Service Longevity In Low-Income And Middle-Income Countries: A Realist Review, Sarah Nelson, Dorothy Drabarek, Aaron Jenkins, Joel Negin, Seye Abimbola Dec 2021

How Community Participation In Water And Sanitation Interventions Impacts Human Health, Wash Infrastructure And Service Longevity In Low-Income And Middle-Income Countries: A Realist Review, Sarah Nelson, Dorothy Drabarek, Aaron Jenkins, Joel Negin, Seye Abimbola

Research outputs 2014 to 2021

Objective:

To understand how, and under what circumstances community participation in water and sanitation interventions impacts the availability of safe water and sanitation, a change in health status or behaviour and the longevity of water, sanitation and hygiene (WASH) resources and services.

Design:

Realist review.

Data sources:

PubMed, Web of Science and Scopus databases were used to identify papers from low-income and middle-income countries from 2010 to 2020.

Eligibility criteria for selecting studies:

Criteria were developed for papers to be included. The contribution of each paper was assessed based on its relevance and rigour (eg, can it contribute to context, …


Fermentation And Cell Wall Degradation In Guineagrass And Italian Ryegrass Silages, Mitsuhiro Niimi, O. Kawamura Dec 2021

Fermentation And Cell Wall Degradation In Guineagrass And Italian Ryegrass Silages, Mitsuhiro Niimi, O. Kawamura

IGC Proceedings (1977-2023)

Guineagrass (Panicum maximum Jacq.) was ensiled at the room temperature and Italian ryegrass (Lolium multiflorum L.) was ensiled at the room temperature and at 30 under the laboratory conditions. As a result, the acetic acid silage was made from Guineagrass and the lactic acid silages were made from Italian ryegrass. The loss of cell wall components during ensiling was the most in hemicellulose followed by NDF, but those of cellulose and AD-lignin were slight. In the hemicellulosic monosaccharides, the loss of hexose (galactose and glucose) was relatively high and that of pentose (arabinose and xylose) was relatively low …


Evaluation Of Forage Sorghum Silages With The Addition Of Sorghum Grain, M. De León, E. Ustarroz, M. A. Brunetti, C. Boetto, M. Bulaschevich Dec 2021

Evaluation Of Forage Sorghum Silages With The Addition Of Sorghum Grain, M. De León, E. Ustarroz, M. A. Brunetti, C. Boetto, M. Bulaschevich

IGC Proceedings (1977-2023)

The aim of this experiment was to evaluate the effect of additional sorghum grain and stage of maturity of forage sorghum silage on the animal performance. Two feeding trials were conducted with forage sorghum silage made at different stage of plant maturity. In trial 1, early silage was made with the crop harvested in early bloom stage. Four diets based on different ratios of silage: sorghum grain were evaluated: 100% silage (ES); 80% silage: 20% dry grain (ES20D); 60% silage: 40% dry grain (ES40D) and 60% silage: 40% wet grain silage (ES40W). In trial 2, late silage was made with …


Influence Of Additive Aiv-2000 And Pre-Wilted Big Bale On Silage Quality, Animal Performance And Rumen Metabolism, Jonas Jatkauskas, V. Vrotniakienė Dec 2021

Influence Of Additive Aiv-2000 And Pre-Wilted Big Bale On Silage Quality, Animal Performance And Rumen Metabolism, Jonas Jatkauskas, V. Vrotniakienė

IGC Proceedings (1977-2023)

Silage treatment with AIV-2000 or making of silage big bales resulted in a higher level of lactic acid and organic matter digestibilities and reduced concentrations of butyric acid and ammonia-N. Feeding AIV-2000 treated and big bale silages increased weight gains of young fattening bulls by, respectively, 5.44 and 6.77% in comparison with the ordinary made silage. AIV-2000 treated and big bale silages affected microflora activity in the rumen. Infusoria count was higher by 13.5 and 30.34% (P < 0.05), VFA concentration increased by 0.39 and 8.45%, the pH value decreased by 0.05 and 0.1 unit, the content of total nitrogen was by 14.67 and 18.73 mg/100 ml, protein nitrogen by 14.12 and 16.63 mg/100 ml and non-protein nitrogen by 0.53 and 1.39 mg/100 ml higher, respectively for AIV-2000 and big bale groups in comparison with the control group.


Quality And Nutritive Value Of Mott Dwarf Elephantgrass Silage With Biological Additives, T. Clavero Dec 2021

Quality And Nutritive Value Of Mott Dwarf Elephantgrass Silage With Biological Additives, T. Clavero

IGC Proceedings (1977-2023)

This experiment was conducted to study the effects of cellulase enzymes and lactic acid bacteria on the fermentation characteristics, chemical composition and nutritive value of Pennisetum purpureum cv Mott silage. Five kinds of preparation were tested: sugar molasses (control); sugar molasses and cellulase enzymes; cellulase enzymes; concentrate of lactic acid bacteria and sugar molasses and concentrate of lactic acid bacteria. Significant differences (P< 0.05) were found in fermentation quality and chemical composition of control silage as compared to the biological additives treated silage. Addition of cellulase enzymes and lactic acid bacteria resulted in decrease of pH value, cell wall content and increased lactic acid concentration. The biological additives increased silage intake and daily live weight by growing steers.


Effects Of Different Additives On Silage Quality Of Napiergrass, Y. K. Cheng, C. S. Chen, P. W. Peng Dec 2021

Effects Of Different Additives On Silage Quality Of Napiergrass, Y. K. Cheng, C. S. Chen, P. W. Peng

IGC Proceedings (1977-2023)

Objectives of this experiment were to determine the effects of different additives on silage quality of napiergrass (Pennisetum purpureum). The cultivar of TLG2 with high water soluble carbohydrates was used to making silages added with or without 5 and 10% corn meal or wheat bran, and then treated with or without enzyme. Crude protein, acid detergent fiber, neutral detergent fiber, water soluble carbohydrates and volatile fatty acid contents of silage were determined to evaluate silage quality. From the results, it showed that var.TLG2 could be making good silages without any additives but the dry matter was low. Adding …


Constraints To Waterfowl Hunting By Hunters And Anglers In The Central United States, Matthew P. Hinrichs, Matthew P. Gruntorad, Julia A. Nawrocki, Mark P. Vrtiska, Mark A. Pegg, Christopher J. Chizinski Dec 2021

Constraints To Waterfowl Hunting By Hunters And Anglers In The Central United States, Matthew P. Hinrichs, Matthew P. Gruntorad, Julia A. Nawrocki, Mark P. Vrtiska, Mark A. Pegg, Christopher J. Chizinski

School of Natural Resources: Faculty Publications

Waterfowl hunting participation has been on the decline since the mid‐1980s. We used a web‐based survey to better understand waterfowl hunting constraints (i.e., factors that limit or prohibit participation and enjoyment in leisure activities) among hunters and anglers that hunted or did not hunt waterfowl in the central United States. Forty‐eight constraint items were condensed into 10 constraint factors: Rules and Regulations, Waterfowl Identification, Cost, Waterfowl Hunting Skills, Land Access and Permissions, Interference by Other Hunters, Travel, Social, Waterfowl Populations, and Views of Others. We observed significant effects of both state of residence and activity type (i.e., frequent waterfowl hunters, …


A Physiological Signal Derived From Sun-Induced Chlorophyll Fluorescence Quantifies Crop Physiological Response To Environmental Stresses In The U.S. Corn Belt, Hyungsuk Kimm, Kaiyu Guan, Chongya Jiang, Guofang Miao, Genghong Wu, Andrew Suyker, Elizabeth A. Ainsworth, Carl J. Bernacchi, Christopher M. Montes, Joseph A. Berry, Xi Yang, Christian Frankenberg, Min Chen, Philipp Köhler Dec 2021

A Physiological Signal Derived From Sun-Induced Chlorophyll Fluorescence Quantifies Crop Physiological Response To Environmental Stresses In The U.S. Corn Belt, Hyungsuk Kimm, Kaiyu Guan, Chongya Jiang, Guofang Miao, Genghong Wu, Andrew Suyker, Elizabeth A. Ainsworth, Carl J. Bernacchi, Christopher M. Montes, Joseph A. Berry, Xi Yang, Christian Frankenberg, Min Chen, Philipp Köhler

School of Natural Resources: Faculty Publications

Sun-induced chlorophyll fluorescence (SIF) measurements have shown unique potential for quantifying plant physiological stress. However, recent investigations found canopy structure and radiation largely control SIF, and physiological relevance of SIF remains yet to be fully understood. This study aims to evaluate whether the SIF-derived physiological signal improves quantification of crop responses to environmental stresses, by analyzing data at three different spatial scales within the U.S. Corn Belt, i.e. experiment plot, field, and regional scales, where ground-based portable, stationary and space-borne hyperspectral sensing systems are used, respectively. We found that, when controlling for variations in incoming radiation and canopy structure, crop …


(R1491) Numerical Solution Of The Time-Space Fractional Diffusion Equation With Caputo Derivative In Time By A-Polynomial Method, Saeid Abbasbandy, Jalal Hajishafieiha Dec 2021

(R1491) Numerical Solution Of The Time-Space Fractional Diffusion Equation With Caputo Derivative In Time By A-Polynomial Method, Saeid Abbasbandy, Jalal Hajishafieiha

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, a novel type of polynomial is defined which is equipped with an auxiliary parameter a. These polynomials are a combination of the Chebyshev polynomials of the second kind. The approximate solution of each equation is assumed as the sum of these polynomials and then, with the help of the collocation points, the unknown coefficients of each polynomial, as well as auxiliary parameter, is obtained optimally. Now, by placing the optimal value of a in polynomials, the polynomials are obtained without auxiliary parameter, which is the restarted step of the present method. The time discretization is performed …


Oscillation Of Nonlinear Third-Order Difference Equations With Mixed Neutral Terms, Jehad Alzabut, Martin Bohner, Said R. Grace Dec 2021

Oscillation Of Nonlinear Third-Order Difference Equations With Mixed Neutral Terms, Jehad Alzabut, Martin Bohner, Said R. Grace

Mathematics and Statistics Faculty Research & Creative Works

In this paper, new oscillation results for nonlinear third-order difference equations with mixed neutral terms are established. Unlike previously used techniques, which often were based on Riccati transformation and involve limsup or liminf conditions for the oscillation, the main results are obtained by means of a new approach, which is based on a comparison technique. Our new results extend, simplify, and improve existing results in the literature. Two examples with specific values of parameters are offered.


Fourth Derivative Singularly P-Stable Method For The Numerical Solution Of The Schrödinger Equation, Ali Shokri, Higinio Ramos, Mohammad Mehdizadeh Khalsaraei, Fikret A. Aliev, Martin Bohner Dec 2021

Fourth Derivative Singularly P-Stable Method For The Numerical Solution Of The Schrödinger Equation, Ali Shokri, Higinio Ramos, Mohammad Mehdizadeh Khalsaraei, Fikret A. Aliev, Martin Bohner

Mathematics and Statistics Faculty Research & Creative Works

In this paper, we construct a method with eight steps that belongs to the family of Obrechkoff methods. Due to the explicit nature of the new method, not only does it not require another method as predictor, but it can also be considered as a suitable predictive technique to be used with implicit methods. Periodicity and error terms are studied when applied to solve the radial Schrödinger equation, considering different energy levels. We show its advantages in terms of accuracy, consistency, and convergence in comparison with other methods of the same order appearing in the literature.


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 …


(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 …


(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 …


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. …