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Articles 31 - 60 of 481

Full-Text Articles in Engineering

An Integrated Model Of Optofluidic Biosensor Function And Performance, Joel Greig Wright, Jr. Aug 2021

An Integrated Model Of Optofluidic Biosensor Function And Performance, Joel Greig Wright, Jr.

Theses and Dissertations

Optofluidic flow-through biosensor devices have been in development for fast bio-target detection. Utilizing the fabrication processes developed by the microelectronics industry, these biosensors can be fabricated into lab-on-a-chip devices with a degree of platform portability. This biosensor technology can be used to detect a variety of targets, and is particularly useful for the detection single molecules and nucleic acid strands. Microfabrication also offers the possibility of production at scale, and this will offer a fast detection method for a range of applications with promising economic viability. The development of this technology has advanced to now warrant a descriptive model that …


Sensitivity Analysis Of Transportation Emissions On Near-Road Air Dispersion Using The Epa-Approved Gaussian Air Dispersion Model Aermod, Ivan Mauricio Ramirez Aug 2021

Sensitivity Analysis Of Transportation Emissions On Near-Road Air Dispersion Using The Epa-Approved Gaussian Air Dispersion Model Aermod, Ivan Mauricio Ramirez

Open Access Theses & Dissertations

Departments of transportation across the United States have presented concerns over making the American Meteorological Society (AMS) and U.S. Environmental Protection Agency (EPA) Regulatory Model (AERMOD) the new regulatory air dispersion model for federally funded transportations projects. Concerns arose from the lack of data presented on its use in transportation projects. AERMOD was developed to present a steady-state air dispersion model used on industrial complexes which present static emission sources unlike the dynamic sources presented by transportation projects. We used multiple analytical and statistical methods to further understand the sensitivity of the model results based on different factors and therefore …


Assessing The Feasibility Of A Biofilter In Medium-To-High Scale Industries, Javier A. Garcia May 2021

Assessing The Feasibility Of A Biofilter In Medium-To-High Scale Industries, Javier A. Garcia

Theses and Dissertations

The removal of volatile organic compounds, VOCs, from contaminated sources of air stream has become a major air pollution risk. Excessive amounts discharged to the atmosphere are highly risky to human health and to the environmental system. Demand for sustainable VOC control technologies has become crucial for the reduction of emissions. Biological treatments of waste gas streams, such as biofiltration, have proven to be cost effective and environmentally friendly compared to conventional pollution control technologies. The goal of this research is to simulate data for a given biofilter model, and to evaluate if it is economically and environmentally feasible to …


Numerical Simulation Of Losses In Four-Way Pipe Junctions, Simon Barth May 2021

Numerical Simulation Of Losses In Four-Way Pipe Junctions, Simon Barth

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

To design pipelines, engineers need to know how much energy the fluid in the pipe has at different locations in the pipe network. The energy the fluid has comes in the form of pressure, velocity, and elevation. As fluid travels through a pipe, it loses energy for many different reasons. Some of those reasons include friction between the fluid and the pipe wall, shear forces within the fluid, changes in flow direction, changes in elevation, or various pipe fittings like elbows, tee’s, valves, reducers, and expanders. Many of the causes of energy loss are well researched. One cause of energy …


Corrosion Rate Prediction In Frp-Concrete Repair, Mohammad A. Khawaja Apr 2021

Corrosion Rate Prediction In Frp-Concrete Repair, Mohammad A. Khawaja

USF Tampa Graduate Theses and Dissertations

Research has proven that wrapping structural elements with fiber-reinforced polymers (FRPs) slows down chloride-induced corrosion rate but does not stop it. Although FRP has been used for corrosion repair for over 40 years, predictive corrosion rate models for FRP-concrete systems are limited in literature. This dissertation presents an oxygen diffusion-based predictive framework to estimate corrosion rate in FRP-concrete systems.

The dissertation has three main components. First, a core framework that is referred to as Khawaja-Sen-Bhethanabotla (KSB) model. In the KSB model, statistical methods were used to extend experimental data on oxygen permeation coefficients. These data were for one and two …


Raising Dielectric Permittivity Mitigates Dopant-Induced Disorder In Conjugated Polymers, Meenakshi Upadhyaya, Michael Lu-Díaz, Subhayan Samanta, Muhammad Abdullah, Keith Dusoe, Kevin R. Kittilstved, Dhandapani Venkataraman, Zlatan Akšamija Jan 2021

Raising Dielectric Permittivity Mitigates Dopant-Induced Disorder In Conjugated Polymers, Meenakshi Upadhyaya, Michael Lu-Díaz, Subhayan Samanta, Muhammad Abdullah, Keith Dusoe, Kevin R. Kittilstved, Dhandapani Venkataraman, Zlatan Akšamija

Electrical and Computer Engineering Faculty Publication Series

Conjugated polymers need to be doped to increase charge carrier density and reach the electrical conductivity necessary for electronic and energy applications. While doping increases carrier density, Coulomb interactions between the dopant molecules and the localized carriers are poorly screened, causing broadening and a heavy tail in the electronic density-of-states (DOS). The authors examine the effects of dopant-induced disorder on two complimentary charge transport properties of semiconducting polymers, the Seebeck coefficient and electrical conductivity, and demonstrate a way to mitigate them. Their simulations, based on a modified Gaussian disorder model with Miller-Abrahams hopping rates, show that dopant-induced broadening of the …


Towards A More Effective Bidirectional Lstm-Based Learning Model For Human-Bacterium Protein-Protein Interactions, Huaming Chen, Jun Shen, Lei Wang, Yaochu Jin Jan 2021

Towards A More Effective Bidirectional Lstm-Based Learning Model For Human-Bacterium Protein-Protein Interactions, Huaming Chen, Jun Shen, Lei Wang, Yaochu Jin

Faculty of Engineering and Information Sciences - Papers: Part B

The identification of protein-protein interaction (PPI) is one of the most important tasks to understand the biological functions and disease mechanisms. Although numerous databases of biological interactions have been published in debt to advanced high-throughput technology, the study of inter-species protein-protein interactions, especially between human and bacterium pathogens, remains an active yet challenging topic to harness computational models tackling the complex analysis and prediction tasks. In this paper, we comprehensively revisit the prediction task of human-bacterium protein-protein interactions (HB-PPI), which is a first ever endeavour to report an empirical evaluation in learning and predicting HB-PPI based on machine learning models. …


Evaluation Of Characteristics Of Wireless Sensor Networks With Analytical Modeling, Halim Khujamatov, Ernazar Reypnazarov, Doston Hasanov, Elaman Nurullaev, Shahzod Sobirov Dec 2020

Evaluation Of Characteristics Of Wireless Sensor Networks With Analytical Modeling, Halim Khujamatov, Ernazar Reypnazarov, Doston Hasanov, Elaman Nurullaev, Shahzod Sobirov

Bulletin of TUIT: Management and Communication Technologies

In this paper, a mathematical model of the operation process of the ZigBee standard wireless network for remote monitoring systems based on the Markov chain apparatus was developed. Using the model was evaluated of the operation process of the CSMA/CA algorithm of the MAC level of the IEEE 802.15.4 ZigBee standard. The peculiarity of this mathematical model is that it takes into account the level of loading of network elements and potential distortions in the transmitted packets as a result of the influence of interference. Using the developed mathematical model, the main characteristics of the network operation process, such as …


Imitation Modeling The Discrete Communication Chanel In Matlab Stateflow On Basis Of Petrovich Model, Sh.Y. Djabborov, Sh.K. Ismailov, I.I. Omonov Nov 2020

Imitation Modeling The Discrete Communication Chanel In Matlab Stateflow On Basis Of Petrovich Model, Sh.Y. Djabborov, Sh.K. Ismailov, I.I. Omonov

Chemical Technology, Control and Management

The article defines the study of a discrete communication channel based on the Petrovich model, amending the faults and its simulation model using MATLAB software. In addition, to reduce the probability of multiple errors in data transmission, coding the discrete channel up to a fault tolerance level, to investigate the distribution of error-free transmission intervals in the discrete channel based on the Petrovich model, to construct the Petrovich model for the discrete channel, The State-flow diagram of Petrovich model is presented for the under research discrete channel. The processes meant by the article save real-time mode of technical engineers in …


Research On Multi-Objective Optimization Method Based On Model, Jianjun Liu, Guangya Si, Yanzheng Wang, Dachuan He Nov 2020

Research On Multi-Objective Optimization Method Based On Model, Jianjun Liu, Guangya Si, Yanzheng Wang, Dachuan He

Journal of System Simulation

Abstract: There is a model-based algorithm for the optimization of multiple objective functions by means of black-box evaluation is proposed. The algorithm iteratively generates candidate solutions from a mixture distribution over the solution space and updates the mixture distribution based on the sampled solutions’ domination count, such that the future search is biased towards the set of Pareto optimal solutions. The proposed algorithm seeks to find a mixture distribution on the solution space so that each component of the mixture distribution is a degenerate distribution centered at a Pareto optimal solution and each estimated Pareto optimal solution is uniformly spread …


Modeling And Simulation Of Wx And Interference Display Of Aew Radar Simulator, Xiaojun Chu Sep 2020

Modeling And Simulation Of Wx And Interference Display Of Aew Radar Simulator, Xiaojun Chu

Journal of System Simulation

Abstract: Three are two bottlenecks during training: irregular form display simulation of weather target and display simulation of electromagnetic interference in AEW radar training simulator. The weather target display was realized by building weather controlling model and irregular form of weather target based on Bezier Curve and path developed was simulated by VC++. Interference display of AEW radar was realized by building model of various interference patterns and rejecting operation was simulated by building operating model. A lot of difficulties of PPI for AEW radar training simulator were settled: such as random distribution of weather target, irregular form of …


Research And Simulation Of Cross Flow Heat Exchanger, Chengyun Wu, Guangwen Wang, Geping Li, Xudong Xin Aug 2020

Research And Simulation Of Cross Flow Heat Exchanger, Chengyun Wu, Guangwen Wang, Geping Li, Xudong Xin

Journal of System Simulation

Abstract: Based on cell concept, the lumped parameter method was applied and the parameters in single heat exchanger cell were deduced. Thereafter 1, 4, 9,100 cells heat exchanger simulation model was set up and the simulation error and its influencing factors were analyzed. To simplify the algorithm and increase the calculation speed, as well as improve the accuracy of cross flow heat exchanger, the simplified heat exchanger model was proposed and reviewed. The research results show that the calculation of simplified heat exchanger is precise and the algorithm is simple. The model could be widely applied in cross flow heat …


A Novel Path Loss Forecast Model To Support Digital Twins For High Frequency Communications Networks, James Marvin Taylor Jr Jul 2020

A Novel Path Loss Forecast Model To Support Digital Twins For High Frequency Communications Networks, James Marvin Taylor Jr

Department of Electrical and Computer Engineering: Dissertations, Theses, and Student Research

The need for long-distance High Frequency (HF) communications in the 3-30 MHz frequency range seemed to diminish at the end of the 20th century with the advent of space-based communications and the spread of fiber optic-connected digital networks. Renewed interest in HF has emerged as an enabler for operations in austere locations and for its ability to serve as a redundant link when space-based and terrestrial communication channels fail. Communications system designers can create a “digital twin” system to explore the operational advantages and constraints of the new capability. Existing wireless channel models can adequately simulate communication channel conditions with …


Research Properties Of Solving Problems Of Parametric Optimization, Dilnoz Tulkunovna Muhamediyeva Jun 2020

Research Properties Of Solving Problems Of Parametric Optimization, Dilnoz Tulkunovna Muhamediyeva

Chemical Technology, Control and Management

A model of parametric optimization with fuzzy initial information is constructed. The conditions and areas of application of the main methods of the theory of fuzzy sets in studies of parametric optimization are determined. A connection is established between the stability of parametric optimization problems and fuzzy optimization problems. An algorithm for solving problems by the method of parametric programming is developed for fuzzy given initial information. The admissible region of the parametric programming problem and the value of its objective function at each point of this region depend on the parameter t. A description of the method for solving …


Memcapacitor Model Based On Memristor, Zhaohui Gan, Yuxin Wu, Jiang Min, Shiying Zhang Jun 2020

Memcapacitor Model Based On Memristor, Zhaohui Gan, Yuxin Wu, Jiang Min, Shiying Zhang

Journal of System Simulation

Abstract: After physical model discovery of memristor in HP lab, the researchers put forward the concept of memcapacitor according to circuit theory. However, the physical object of the memcapacitor has not been found so far. In order to research the memcapacitor, researchers often use other components and circuits to simulate a memcapacitor. After analyzing the existing model of memcapacitor, a new nonlinear transformation method is proposed to transform a memristor into a memcapacitor, by which a nonlinear model of memcapacitor based on the memristor is constructed. The Pspice simulation experiments showed that the model successfully simulated the basic characteristics of …


Experimental Research Methodology For The Crack Resistance Of Large-Panel Buildings In Seismic Areas, Nigmat Baxramovich Shaumarov, Ulugbek Xakimovich Abdullayev May 2020

Experimental Research Methodology For The Crack Resistance Of Large-Panel Buildings In Seismic Areas, Nigmat Baxramovich Shaumarov, Ulugbek Xakimovich Abdullayev

Journal of Tashkent Institute of Railway Engineers

The experience of the Tashkent, Spitak, Kyrgyz and Kamchatka earthquakes of recent years has led to the conclusion that there is a sufficient good seismic resistance of large-panel buildings with a narrow step of transverse load-bearing walls. One of the distinguishing structural features of buildings is considered to be the overlapping of individual multi-hollow panels with their support on special cantilevered outlets along the lateral surfaces of the transverse walls. Elements of the outer walls were made of expanded clay concrete with a compressive strength of about 200 kg / cm2. All structures were reinforced with flat welded frames made …


Discrete Vortex Modeling Of Aerodynamic Flutter Of A Flat Plate With Damped Oscillations, Emma Chao May 2020

Discrete Vortex Modeling Of Aerodynamic Flutter Of A Flat Plate With Damped Oscillations, Emma Chao

UNLV Theses, Dissertations, Professional Papers, and Capstones

Aerodynamic flutter is the unstable oscillation of a body caused by the interaction of aerodynamic forces, structural elasticity, and inertial effects induced by vortex shedding. Current models of this phenomenon require finite element analysis and extensive computational power and processing time. The purpose of this study was to develop and validate a program that is faster and more efficient than existing approaches by using the discrete vortex method (DVM). By reducing the complexities of flutter to the shedding of vortices in an inviscid model of a two-dimensional flat plate with a torsional spring constant at its center, this phenomenon can …


Thermal Chemical Energy Storage, William Miller, Samuel Swayne, Jonathan West, John Davis, James Mcbroom, Tennessee Bryant May 2020

Thermal Chemical Energy Storage, William Miller, Samuel Swayne, Jonathan West, John Davis, James Mcbroom, Tennessee Bryant

Chancellor’s Honors Program Projects

No abstract provided.


Emergency Eye Simulation Model, Gavin L. Warrington, Christopher Forsyth, Lexus Morris, Natalie Ledezma May 2020

Emergency Eye Simulation Model, Gavin L. Warrington, Christopher Forsyth, Lexus Morris, Natalie Ledezma

Chancellor’s Honors Program Projects

No abstract provided.


To The Conclusion Of The Variational Equation Of Motion Of Shell Structures Supported By Frames And Stringers, Farkhod Erkinovich Abdukadirov Mar 2020

To The Conclusion Of The Variational Equation Of Motion Of Shell Structures Supported By Frames And Stringers, Farkhod Erkinovich Abdukadirov

Journal of Tashkent Institute of Railway Engineers

In this article is given the construction of the variational equation of motion of the shell structure supported by frames and stringers. Using the Hamilton - Ostrogradsky variational principle, systems of differential equations of motion of shell elements are obtained.


Neuro-Fuzzy Modeling For Predictive Control Systems With Complex Technological Processes And Production, Yusupbekov Nodirbek, Shukhrat Gulyamov, Malika Doshchanova Feb 2020

Neuro-Fuzzy Modeling For Predictive Control Systems With Complex Technological Processes And Production, Yusupbekov Nodirbek, Shukhrat Gulyamov, Malika Doshchanova

Chemical Technology, Control and Management

The paper implements a modification of a fuzzy neural network, which is suitable for predictive control purposes. Adaptation of a multidimensional programmable controller based on a neural algorithm for the back propagation of forecasting errors is proposed, as well as neural parametric identification of a fuzzy mathematical model of complex technological processes and production based on experimental data and expert estimates.


Diseño De Un Modelo Para La Gestión De La Innovación En Wm Wireless & Mobile Sas En Bogotá, Manuel Sebastián Bernal Díaz, Silvana Soto Ocampo Jan 2020

Diseño De Un Modelo Para La Gestión De La Innovación En Wm Wireless & Mobile Sas En Bogotá, Manuel Sebastián Bernal Díaz, Silvana Soto Ocampo

Ingeniería Industrial

En un mercado globalizado, donde las empresas cada vez son más competitivas y productivas, la innovación es una de las herramientas para mantenerse vigente, ya que ofrecer un amplio portafolio de productos y servicios lleva a las organizaciones a competir con base al costo, entorpeciendo él desarrollo normal de la economía, por lo que estas deben salir de los commodities hacia los océanos azules (Mauborgne & Kim, 2016). Es por esto que el Gobierno Nacional promueve nuevas políticas, planes de gobierno, incentivos y manuales de buenas prácticas, entre otros, para que, desde los diferentes organismos, como la Cámara de Comercio …


Establecimiento De Dos Cultivos (Frijol Y Arracacha) Como Modelo De Diversificación De La Producción Agrícola Familiar En El Municipio De Guavatá Santander, Brayan Orlando Ariza Velasco Jan 2020

Establecimiento De Dos Cultivos (Frijol Y Arracacha) Como Modelo De Diversificación De La Producción Agrícola Familiar En El Municipio De Guavatá Santander, Brayan Orlando Ariza Velasco

Ingeniería Agronómica

El proyecto Productivo se llevó a cabo en el municipio de Guavatá Santander mediante el apoyo de Universidad de La Salle proyecto Utopía. El componente de ingeniería agronómica para el cual se establecieron dos cultivos, Fríjol (Phaseolus Vulgaris) y Arracacha (Arracacia xanthorrhiza) como modelo de diversificación de la producción agrícola familiar en el municipio; este componente fue exitoso ya que se realizó un manejo técnico adecuado se dio a conocer esta alternativa en la región y se obtuvieron altos rendimientos. El componente de investigación el cual tuvo como objetivo analizar los sistemas actuales de producción de guayaba del municipio de …


Hybrid Translation And Language Model For Micro Learning Material Recommendation, Jiayin Lin Jan 2020

Hybrid Translation And Language Model For Micro Learning Material Recommendation, Jiayin Lin

Faculty of Engineering and Information Sciences - Papers: Part A

As an emerging pedagogy, micro learning aims to make use of people’s fragmented spare time and provide personalized online learning service, for example, by pushing fragmented knowledge to specific learners. In the context of big data, the recommender system is the key factor for realizing the online personalization service, which significantly determines what information will be fmally accessed by the target learners. In the education discipline, due to the pedagogical requirements and the domain characteristics, ranking recommended learning materials is essential for maintaining the outcome of the massive learning scenario. However, many widely used recommendation strategies in other domains showed …


A Novel Monte Carlo-Based Neural Network Model For Electricity Load Forecasting, Binbin Yong, Zijian Xu, Jun Shen, Huaming Chen, Jianqing Wu, Fucun Li, Qingguo Zhou Jan 2020

A Novel Monte Carlo-Based Neural Network Model For Electricity Load Forecasting, Binbin Yong, Zijian Xu, Jun Shen, Huaming Chen, Jianqing Wu, Fucun Li, Qingguo Zhou

Faculty of Engineering and Information Sciences - Papers: Part B

The ongoing rapid growth of electricity over the past few decades greatly promotes the necessity of accurate electricity load forecasting. However, despite a great number of studies, electricity load forecasting is still an enormous challenge for its complexity. Recently, the developments of machine learning technologies in different research areas have demonstrated its great advantages. General Vector Machine (GVM) is a new machine learning model, which has been proven very effective in time series prediction. In this article, we firstly review the basic concepts and implementation of GVM. Then we apply it in electricity load forecasting, which is based on the …


Apex2s: A Two-Layer Machine Learning Model For Discovery Of Host-Pathogen Protein-Protein Interactions On Cloud-Based Multiomics Data, Huaming Chen, Jun Shen, Lei Wang, Chi-Hung Chi Jan 2020

Apex2s: A Two-Layer Machine Learning Model For Discovery Of Host-Pathogen Protein-Protein Interactions On Cloud-Based Multiomics Data, Huaming Chen, Jun Shen, Lei Wang, Chi-Hung Chi

Faculty of Engineering and Information Sciences - Papers: Part B

No abstract provided.


Deep Sequence Labelling Model For Information Extraction In Micro Learning Service, Jiayin Lin, Zhexuan Zhou, Geng Sun, Jun Shen, David Pritchard, Tingru Cui, Dongming Xu, Li Li, Ghassan Beydoun Jan 2020

Deep Sequence Labelling Model For Information Extraction In Micro Learning Service, Jiayin Lin, Zhexuan Zhou, Geng Sun, Jun Shen, David Pritchard, Tingru Cui, Dongming Xu, Li Li, Ghassan Beydoun

Faculty of Engineering and Information Sciences - Papers: Part B

Micro learning aims to assist users in making good use of smaller chunks of spare time and provides an effective online learning service. However, to provide such personalized online services on the Web, a number of information overload challenges persist. Effectively and precisely mining and extracting valuable information from massive and redundant information is a significant preprocessing procedure for personalizing online services. In this study, we propose a deep sequence labelling model for locating, extracting, and classifying key information for micro learning services. The proposed model is general and combines the advantages of different types of classical neural network. Early …


A New Data Driven Long-Term Solar Yield Analysis Model Of Photovoltaic Power Plants, Biplob Ray, Rakibuzzaman Shah, Md Rabiul Islam, Syed Islam Jan 2020

A New Data Driven Long-Term Solar Yield Analysis Model Of Photovoltaic Power Plants, Biplob Ray, Rakibuzzaman Shah, Md Rabiul Islam, Syed Islam

Faculty of Engineering and Information Sciences - Papers: Part B

Historical data offers a wealth of knowledge to the users. However, often restrictively mammoth that the information cannot be fully extracted, synthesized, and analyzed efficiently for an application such as the forecasting of variable generator outputs. Moreover, the accuracy of the prediction method is vital. Therefore, a trade-off between accuracy and efficacy is required for the data-driven energy forecasting method. It has been identified that the hybrid approach may outperform the individual technique in minimizing the error while challenging to synthesize. A hybrid deep learning-based method is proposed for the output prediction of the solar photovoltaic systems (i.e. proposed PV …


Model Predictive Control For A New Magnetic Linked Multilevel Inverter To Integrate Solar Photovoltaic Systems With The Power Grids, A M. Mahfuz-Ur-Rahman, Md Rabiul Islam, Kashem M. Muttaqi, Danny Sutanto Jan 2020

Model Predictive Control For A New Magnetic Linked Multilevel Inverter To Integrate Solar Photovoltaic Systems With The Power Grids, A M. Mahfuz-Ur-Rahman, Md Rabiul Islam, Kashem M. Muttaqi, Danny Sutanto

Faculty of Engineering and Information Sciences - Papers: Part B

The multilevel inverters are becoming increasingly popular for use in the grid integration of wind and photovoltaic (PV) power plants due to their higher voltage handling capability and the better output power quality. There are several types of multilevel inverters that have been proposed in the literature; among them the active neutral point clamp (ANPC) multilevel inverters have been drawing significant attention specially for solving the problems with other multilevel inverters. However, with the increase of number of levels, the ANPC requires more electronic switches and flying capacitors, by which the complexity and the cost increases. In this paper, an …


Fórmula Sintética Para El Cálculo De La Reactancia De Dispersión En Transformadores De Núcleo Arrollado, Darwin Felipe Alcócer Torres, Cristian David Bermúdez Gutiérrez Jan 2020

Fórmula Sintética Para El Cálculo De La Reactancia De Dispersión En Transformadores De Núcleo Arrollado, Darwin Felipe Alcócer Torres, Cristian David Bermúdez Gutiérrez

Ingeniería Eléctrica

En este trabajo se presenta una fórmula sintética para el cálculo de la reactancia de dispersión en transformadores de núcleo arrollado. La fórmula propuesta en esta tesis tomó como base inicial la fórmula obtenida en el trabajo de maestría de Castañeda Hernández (2019). Los resultados calculados con la fórmula sintética mostraron una exactitud promedio superior a los obtenidos con la fórmula propuesta en Castañeda Hernández (2019). La fórmula sintética se obtuvo incluyendo más grados de libertad a la fórmula de Castañeda y realizando una regresión no lineal para determinar el valor de los grados de libertad. La regresión no lineal …