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Articles 1 - 30 of 7845
Full-Text Articles in Physical Sciences and Mathematics
Hitch Cart “Landing Gear”, Rebekah White, Jose Raygoza, Randy Hernandez, Brandon Leon
Hitch Cart “Landing Gear”, Rebekah White, Jose Raygoza, Randy Hernandez, Brandon Leon
Mechanical Engineering
This report aims to allow our sponsor, to review our design process of the Hitch Cart Landing Gear Prototype. In the design overview section of this report, we discuss the primary design modifications we made to the wheel mechanism of the existing hitch cart prototype, including the addition of the ACME screws and the folding brackets. This allows our sponsor to see the intended improvements made to the past prototype and understand the primary goal of our project. Then, in the implementation section, we cover the entire manufacturing process to allow our sponsor to understand what manufacturing steps must be …
On Weak Solutions And The Navier-Stokes Equations, Aryan Prabhudesai
On Weak Solutions And The Navier-Stokes Equations, Aryan Prabhudesai
Mathematical Sciences Undergraduate Honors Theses
In this paper, I will discuss a partial differential equation that has solutions that are discontinuous. This example motivates the need for distribution theory, which will provide an interpretation of what it means for a discontinuous function to be a “solution” to a PDE. Then I will give a detailed foundation of distributions, including the definition of the derivative of a distribution. Then I will introduce and give background on the Navier-Stokes equations. Following that, I will explain the Millennium Problem concerning global regularity for the Navier-Stokes equations and share mathematical results regarding weak solutions. Finally, I will go over …
Circling The Square: Computing Radical Two, Isaiah Mellace, Joshua Kroeker
Circling The Square: Computing Radical Two, Isaiah Mellace, Joshua Kroeker
NEXUS: The Liberty Journal of Interdisciplinary Studies
Discoveries of equations for irrational numbers are not new. From Newton’s Method to Taylor Series,there are many ways to calculate the square root of two to arbitrary precision. The following method is similar in this way, but it is also a fascinating derivation from geometry that has applications to other irrationals. Additionally, the equation derived has some properties that may lead to fast computation. The first part of this paper is dedicated to deriving the equation, and the second is focused on computer science implementations and optimizations.
A Meta-Ensemble Predictive Model For The Risk Of Lung Cancer, Sideeqoh Oluwaseun Olawale-Shosanya, Olayinka Olufunmilayo Olusanya, Adeyemi Omotayo Joseph, Kabir Oluwatobi Idowu, Oyelade Babatunde Eriwa, Adedeji Oladimeji Adebare, Morufat Adebola Usman
A Meta-Ensemble Predictive Model For The Risk Of Lung Cancer, Sideeqoh Oluwaseun Olawale-Shosanya, Olayinka Olufunmilayo Olusanya, Adeyemi Omotayo Joseph, Kabir Oluwatobi Idowu, Oyelade Babatunde Eriwa, Adedeji Oladimeji Adebare, Morufat Adebola Usman
Al-Bahir Journal for Engineering and Pure Sciences
The lungs play a vital role in supplying oxygen to every cell, filtering air to prevent harmful substances, and supporting defense mechanisms. However, they remain susceptible to the risk of diseases such as infections, inflammation, and cancer that affect the lungs. Meta-ensemble techniques are prominent methods used in machine learning to enhance the accuracy of classifier learning systems in making predictions. This work proposes a robust predictive model using a meta-ensemble method to identify high-risk individuals with lung cancer, thereby taking early action to prevent long-term problems benchmarked upon the Kaggle Machine Learning practitioners' Lung Cancer Dataset. Three machine learning …
(R2070) Poisson-Exponentiated Weibull Distribution: Properties, Applications And Extension, Alphonsa George, Dais George
(R2070) Poisson-Exponentiated Weibull Distribution: Properties, Applications And Extension, Alphonsa George, Dais George
Applications and Applied Mathematics: An International Journal (AAM)
In this article, we introduce a new member of the Poisson-X family namely, the Poisson-exponentiated Weibull distribution. The statistical as well as the distributional properties of the new distribution are studied, and the performance of the maximum likelihood method of estimation is verified by a simulation study. The flexibility of the distribution is illustrated by a real data set. We develop and study a reliability test plan for the acceptance or rejection of a lot of products submitted for inspection when their lifetimes follow the new distribution. A real data example is also given to illustrate the feasibility of the …
(R2071) Global Stability Analysis Of Chikv Dynamics Model With Adaptive Immunity And Distributed Time Delays, Taofeek O. Alade, Samson Olaniyi, Hassan A. Idris, Yaqoob Al Rahbi, Mohammad Alnegga
(R2071) Global Stability Analysis Of Chikv Dynamics Model With Adaptive Immunity And Distributed Time Delays, Taofeek O. Alade, Samson Olaniyi, Hassan A. Idris, Yaqoob Al Rahbi, Mohammad Alnegga
Applications and Applied Mathematics: An International Journal (AAM)
The application of mathematical biology and dynamical systems has proven to be an effective approach for studying viral infection models. To contribute to this research, our paper proposes a new CHIKV model that takes into account an adaptive immune response and distributed time delays, which accurately reflects the time lag between initial viral contacts and the production of new active CHIKV particles. By analyzing the model’s qualitative behavior, we establish a biological threshold number that can predict whether CHIKV will be cleared from or persist in the body. We demonstrate the global stability of both CHIKV-present and CHIKV-free steady states …
(R2067) Solutions Of Hyperbolic System Of Time Fractional Partial Differential Equations For Heat Propagation, Sagar Sankeshwari, Vinayak Kulkarni
(R2067) Solutions Of Hyperbolic System Of Time Fractional Partial Differential Equations For Heat Propagation, Sagar Sankeshwari, Vinayak Kulkarni
Applications and Applied Mathematics: An International Journal (AAM)
Hyperbolic linear theory of heat propagation has been established in the framework of a Caputo time fractional order derivative. The solution of a system of integer and fractional order initial value problems is achieved by employing the Adomian decomposition approach. The obtained solution is in convergent infinite series form, demonstrating the method’s strengths in solving fractional differential equations. Moreover, the double Laplace transform method is employed to acquire the solution of a system of integer and fractional order boundary conditions in the Laplace domain. An inversion of double Laplace transforms has been achieved numerically by employing the Xiao algorithm in …
(R2074) A Comparative Study Of Two Novel Analytical Methods For Solving Time-Fractional Coupled Boussinesq-Burger Equation, Jyoti U. Yadav, Twinkle R. Singh
(R2074) A Comparative Study Of Two Novel Analytical Methods For Solving Time-Fractional Coupled Boussinesq-Burger Equation, Jyoti U. Yadav, Twinkle R. Singh
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, a comparative study between two different methods for solving nonlinear timefractional coupled Boussinesq-Burger equation is conducted. The techniques are denoted as the Natural Transform Decomposition Method (NTDM) and the Variational Iteration Transform Method (VITM). To showcase the efficacy and precision of the proposed approaches, a pair of different numerical examples are presented. The outcomes garnered indicate that both methods exhibit robustness and efficiency, yielding approximations of heightened accuracy and the solutions in a closed form. Nevertheless, the VITM boasts a distinct advantage over the NTDM by addressing nonlinear predicaments without recourse to the application of Adomian polynomials. …
(R2076) New Exact Solution Of Gilson–Pickering Equation In Plasma, Bingnuo Yang, Weinan Wu, Hongfeng Yu, Peng Guo
(R2076) New Exact Solution Of Gilson–Pickering Equation In Plasma, Bingnuo Yang, Weinan Wu, Hongfeng Yu, Peng Guo
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, we use Paul-Painlev´e approach method, extended rational sine-cosine method and extended rational sinh-cosh method to construct the exact solution of the nonlinear Gilson-Pickering (GP) equation in plasma. The exact solution of GP equation obtained by the above three methods is new, and we use mathematical software to draw the two-dimensional and three-dimensional graphs of the new exact solutions. Through the study of nonlinear equations in plasma, this study will enrich the research and connotation of nonlinear development equations in plasma.
(R2086) Circular Restricted Three-Body Interaction Problem With Various Perturbations, Shiv K. Sahdev, Abdullah .
(R2086) Circular Restricted Three-Body Interaction Problem With Various Perturbations, Shiv K. Sahdev, Abdullah .
Applications and Applied Mathematics: An International Journal (AAM)
The motion properties of the infinitesimal body is studied under the forces due to kerr-like oblate heterogeneous primary, continuation fractional potential for secondary, solar sail, three-body interactions, Coriolis and centrifugal forces in the circular restricted three-body problem. The equations of motion of infinitesimal body are evaluated under the above-said perturbations. Using these equations of motion, we illustrate the locations of equilibrium points, their stability, the periodic orbits and Poincaré surfaces of section. This study will applicable on the motion of the artificial satellite.
Modified Optimal Homotopy Asymptotic Method For Kdv Family Of Equations, Mubashir Qayyum, Muhammad Faisal, Naveed Imran
Modified Optimal Homotopy Asymptotic Method For Kdv Family Of Equations, Mubashir Qayyum, Muhammad Faisal, Naveed Imran
International Journal of Emerging Multidisciplinaries: Mathematics
In this manuscript a hybrid of optimal homotopy asymptotic method (OHAM) with Daftardar - Jafari (DJ) polynomials has been introduced for time dependent KdV family of equations. Proposed methodology is applied to (1+1) and (2+1) soliton KdV equations and results are compared with classical OHAM. Analysis reveals that proposed modification is an effective way of getting better accuracy with less computational cost, and can be applied to more complex phenomena.
Time Scale Separation In Life-Long Ovarian Follicles Population Dynamics Model, Romain Yvinec, Frédérique Clément, Guillaume Ballif
Time Scale Separation In Life-Long Ovarian Follicles Population Dynamics Model, Romain Yvinec, Frédérique Clément, Guillaume Ballif
Biology and Medicine Through Mathematics Conference
No abstract provided.
Multi-Type Branching Processes In Time-Varying Environments, Arash Jamshidpey
Multi-Type Branching Processes In Time-Varying Environments, Arash Jamshidpey
Biology and Medicine Through Mathematics Conference
No abstract provided.
Benefit Of Medication Reconciliation Practices On Patient Health Outcomes In A Healthcare Setting, Helen Harris, David Petrulis, Lauren Trepp, Bryan Chong, Jillian Haas, David Chan, Laura Ellwein Fix
Benefit Of Medication Reconciliation Practices On Patient Health Outcomes In A Healthcare Setting, Helen Harris, David Petrulis, Lauren Trepp, Bryan Chong, Jillian Haas, David Chan, Laura Ellwein Fix
Biology and Medicine Through Mathematics Conference
No abstract provided.
A Model Of Oocyte Population Dynamics For Fish Oogenesis, Louis Fostier, Frédérique Clément, Romain Yvinec, Violette Thermes
A Model Of Oocyte Population Dynamics For Fish Oogenesis, Louis Fostier, Frédérique Clément, Romain Yvinec, Violette Thermes
Biology and Medicine Through Mathematics Conference
No abstract provided.
Modeling Fast Information And Slow(Er) Disease Spreading: A Geometric Analysis, Iulia Martina Bulai, Mattia Sensi, Sara Sottile
Modeling Fast Information And Slow(Er) Disease Spreading: A Geometric Analysis, Iulia Martina Bulai, Mattia Sensi, Sara Sottile
Biology and Medicine Through Mathematics Conference
No abstract provided.
Reaction-Diffusions System Simulated On Irregular Shapes And Surfaces Model Petal Spot Patterns In Monkeyflower Hybrids, Emily Simmons, Arielle M. Cooley, Joshua R. Puzey, Gregory D. Conradi Smith
Reaction-Diffusions System Simulated On Irregular Shapes And Surfaces Model Petal Spot Patterns In Monkeyflower Hybrids, Emily Simmons, Arielle M. Cooley, Joshua R. Puzey, Gregory D. Conradi Smith
Biology and Medicine Through Mathematics Conference
No abstract provided.
Modeling And Control Of Drug Resistance In Cancer Dynamics, James Greene
Modeling And Control Of Drug Resistance In Cancer Dynamics, James Greene
Biology and Medicine Through Mathematics Conference
No abstract provided.
Exploring The Evolution Of Altruistic Punishment Using A Pde Model For Multilevel Selection, Daniel Cooney
Exploring The Evolution Of Altruistic Punishment Using A Pde Model For Multilevel Selection, Daniel Cooney
Biology and Medicine Through Mathematics Conference
No abstract provided.
Using Splines To Investigate The Effects Of Temperature On The Within-Mosquito Malaria Parasite Forms, Alexander J. Diefes, Miranda I. Teboh-Ewungkem
Using Splines To Investigate The Effects Of Temperature On The Within-Mosquito Malaria Parasite Forms, Alexander J. Diefes, Miranda I. Teboh-Ewungkem
Biology and Medicine Through Mathematics Conference
No abstract provided.
Tracking Food Quality In Algae-Daphnia Ecosystems Through Stage Structured Models And Colimitation, Tomas Ascoli
Tracking Food Quality In Algae-Daphnia Ecosystems Through Stage Structured Models And Colimitation, Tomas Ascoli
Biology and Medicine Through Mathematics Conference
No abstract provided.
Identifiability For Pde Models Of Fluorescence Microscopy Experiments, Veronica Ciocanel
Identifiability For Pde Models Of Fluorescence Microscopy Experiments, Veronica Ciocanel
Biology and Medicine Through Mathematics Conference
No abstract provided.
Statistical Mobility Of Aggregated Microswimmers, Yonatan Ashenafi
Statistical Mobility Of Aggregated Microswimmers, Yonatan Ashenafi
Biology and Medicine Through Mathematics Conference
No abstract provided.
Multiscale Modeling Of Microtubule Polarity Mechanisms Following Neuronal Axotomy, Hannah Scanlon
Multiscale Modeling Of Microtubule Polarity Mechanisms Following Neuronal Axotomy, Hannah Scanlon
Biology and Medicine Through Mathematics Conference
No abstract provided.
A Comparative Analysis Of Source Identification Algorithms, Pablo A. Curiel
A Comparative Analysis Of Source Identification Algorithms, Pablo A. Curiel
Biology and Medicine Through Mathematics Conference
No abstract provided.
Chemoattractant Distribution In The Drosophila Egg Chamber, Lara Scott
Chemoattractant Distribution In The Drosophila Egg Chamber, Lara Scott
Biology and Medicine Through Mathematics Conference
No abstract provided.
Impacts Of Hematodinium Infection In A Seasonal Population Model Of The Chesapeake Bay Blue Crab, Gwendolyn R. Sargent, Romuald Lipcius, Leah Shaw, Junping Shi, Jeffrey D. Shields
Impacts Of Hematodinium Infection In A Seasonal Population Model Of The Chesapeake Bay Blue Crab, Gwendolyn R. Sargent, Romuald Lipcius, Leah Shaw, Junping Shi, Jeffrey D. Shields
Biology and Medicine Through Mathematics Conference
No abstract provided.
Sperm-Egg Interaction For Fertilization Success, Prajakta P. Bedekar
Sperm-Egg Interaction For Fertilization Success, Prajakta P. Bedekar
Biology and Medicine Through Mathematics Conference
No abstract provided.
Incorporating Awareness, Misinformation And Optimal Control In A Model Of Sars-Cov-2, Eric Numfor
Incorporating Awareness, Misinformation And Optimal Control In A Model Of Sars-Cov-2, Eric Numfor
Biology and Medicine Through Mathematics Conference
No abstract provided.
Information Feedback Delays Within Epidemic Models And Their Effect On Model Dynamics., Maria K. Bouka, Christopher Strickland Dr
Information Feedback Delays Within Epidemic Models And Their Effect On Model Dynamics., Maria K. Bouka, Christopher Strickland Dr
Biology and Medicine Through Mathematics Conference
No abstract provided.