scholarly journals Regresión lineal de mínimos cuadrados para la carga y descarga de un condensador

2015 ◽  
Vol 6 (1) ◽  
pp. 34
Author(s):  
José Libardo Santiago-Angarita ◽  
Olga Lucy Rincón-Leal
Keyword(s):  
Linear Regression ◽  
Least Squares ◽  
Current Source ◽  
Mathematical Software ◽  
Method Of Least Squares ◽  
In Series ◽  
Experimental Errors ◽  
Loading And Unloading ◽  
Lineal Regression ◽  
A Current

ResumenEl objetivo es determinar experimentalmente el proceso de carga y descarga de un condensador estando conectado en serie con una resistencia y una fuente de corriente  continua, utilizando para ello los métodos numéricos en el proceso de ajuste de curvas a través de la regresión lineal de mínimos cuadrados, y con ayuda del software matemático Matlab se realizó la construcción de las respectivas curvas. Se estableció una relación entre el voltaje y el tiempo, formándose así una gráfica exponencial; se dedujeron las relaciones existentes y el comportamiento del fenómeno, dadas las ecuaciones y con la ayuda de lasegunda Ley de Kirchhoff; se determinaron las contantes de tiempo utilizando el método de regresión lineal de mínimos cuadrados, encontrándose un error experimental del 5 % con respecto a la constate de tiempo teórica RC.Palabras Claves: Condensador, resistencia y regresión lineal.ABSTRACTThe objective is to determine experimentally S. Process Loading and unloading of un capacitor being connected in series with a resistor and a current source , using para This numerical methods in the process of adjustment curves Through linear regression Least Squares , with the help of mathematical software Matlab building the respective curves was performed.A relationship between the voltage and time, thus forming exponential graph A is established; the relationships and the behavior of the phenomenon were deducted, given the equations and with the help of the Second Law of Kirchhoff; the Time constants were determined using the method of least squares linear regression, experimental errors UN meeting 5% with respect to the I Theoretical RC time constant.Keywords: Condenser, resistance and lineal regression.

EFFICIENT AND ERGONOMIC LOAD FOR DIDACTIC ELECTRICAL PANELS

2018 ◽  
Vol 4 (1) ◽  
pp. 1-8
Author(s):  
Pablo Rodrigues Muniz ◽  
Priscila Ribeiro Amorim de Almeida ◽  
Raquel Perim Pereira
Keyword(s):  
Electric Power ◽  
Infrared Thermography ◽  
Classroom Environment ◽  
Current Source ◽  
Thermal Discomfort ◽  
Power Cost ◽  
In Series ◽  
Resistive Loads ◽  
Teaching Learning ◽  
A Current

Infrared thermography allows to detect defects even incipient, reducing maintenance costs and shutdown time. To accordingly perform the infrared inspection, the operator must be capacitated and well trained. There is difficulty nowadays in teaching thermographic inspection due to the lack of didactic equipment for this purpose. For that reason, a prototype set of switchgear was developed to be used as a didactic resource for teaching-learning infrared thermography applied to the predictive maintenance of electric installation in classrooms. Typically, an association of resistors as a load is used to generate a current large enough to cause a perceptible increase in temperature at the points of failure. But this load is large and overheating, making the class uncomfortable due to heat, and electric power cost is high. The purpose of this paper is to develop a new prototype that allows the circulation of electric current large enough to cause temperature rising dissipating low power. The present prototype connects the R, S and T switchgear phases in series from the original panel and feeds it through a direct current source, keeping it without internal modifications. This source can be adjusted to fit the need of current of the system, which was decided to be 20 A. The prototype has much lower cost than traditional resistive loads, is lightweight and easy to be transported. In addition, by reducing the dissipated power, it does not generate thermal discomfort in the classroom environment and reduces the costs with electric power about 90%.  

scholarly journals Gender Pay Gap in the Czech Economy with Accent on ICT Professionals

2021 ◽  
Author(s):  
Lea Nedomová ◽  
Petr Doucek
Keyword(s):  
Regression Analysis ◽  
Czech Republic ◽  
Linear Regression ◽  
Least Squares ◽  
Gender Pay Gap ◽  
Method Of Least Squares ◽  
Pay Gap ◽  
The Czech Republic ◽  
The Subject ◽  
Level Of Significance

The subject of our article is a comparison of the level and development of the gender pay gap between selected EU countries (especially the V4 countries and other selected countries such as Austria and Slovenia) for the period 2009 - 2019. The analysis for the Czech Republic will be then supplemented by a comparison with the development of the gender pay gap in the economy and in ICT Professionals. To approximate the development of wages and GDP, we used the method of linear regression together with the method of least squares. All regression analysis calculations are performed at the 5% level of significance.

Transforming the Method of Least Squares to the Dataflow Paradigm

2021 ◽  
pp. 114-121
Author(s):  
Ilir Murturi
Keyword(s):  
Linear Regression ◽  
Least Squares ◽  
Linear Algebra ◽  
Control Flow ◽  
Mathematical Statistics ◽  
Regression Equations ◽  
Method Of Least Squares ◽  
The Given ◽  
The Relationship ◽  
Best Fit

In mathematical statistics, an interesting and common problem is finding the best linear or non-linear regression equations that express the relationship between variables or data. The method of least squares (MLS) represents one of the oldest procedures among multiple techniques to determine the best fit line to the given data through simple calculus and linear algebra. Notably, numerous approaches have been proposed to compute the least-squares. However, the proposed methods are based on the control flow paradigm. As a result, this chapter presents the MLS transformation from control flow logic to the dataflow paradigm. Moreover, this chapter shows each step of the transformation, and the final kernel code is presented.

The limit state of concrete and reinforced concrete rods at complex and longitudinal-transverse bending

2020 ◽  
pp. 60-73
Author(s):  
Yu V Nemirovskii ◽  
S V Tikhonov
Keyword(s):  
General Solution ◽  
Least Squares ◽  
Nonlinear Differential Equations ◽  
Limit State ◽  
Algebraic Equations ◽  
Method Of Least Squares ◽  
Elasticity Limit ◽  
Limit Values ◽  
Symbolic Calculations ◽  
Deformation Diagrams

The work considers rods with a constant cross-section. The deformation law of each layer of the rod is adopted as an approximation by a polynomial of the second order. The method of determining the coefficients of the indicated polynomial and the limit deformations under compression and tension of the material of each layer is described with the presence of three traditional characteristics: modulus of elasticity, limit stresses at compression and tension. On the basis of deformation diagrams of the concrete grades B10, B30, B50 under tension and compression, these coefficients are determined by the method of least squares. The deformation diagrams of these concrete grades are compared on the basis of the approximations obtained by the limit values and the method of least squares, and it is found that these diagrams approximate quite well the real deformation diagrams at deformations close to the limit. The main problem in this work is to determine if the rod is able withstand the applied loads, before intensive cracking processes in concrete. So as a criterion of the conditional limit state this work adopts the maximum permissible deformation value under tension or compression corresponding to the points of transition to a falling branch on the deformation diagram level in one or more layers of the rod. The Kirchhoff-Lyav classical kinematic hypotheses are assumed to be valid for the rod deformation. The cases of statically determinable and statically indeterminable problems of bend of the rod are considered. It is shown that in the case of statically determinable loadings, the general solution of the problem comes to solving a system of three nonlinear algebraic equations which roots can be obtained with the necessary accuracy using the well-developed methods of computational mathematics. The general solution of the problem for statically indeterminable problems is reduced to obtaining a solution to a system of three nonlinear differential equations for three functions - deformation and curvatures. The Bubnov-Galerkin method is used to approximate the solution of this equation on the segment along the length of the rod, and specific examples of its application to the Maple system of symbolic calculations are considered.

scholarly journals Functional ratings in sports

2020 ◽  
Vol 16 (3) ◽  
pp. 183-191
Author(s):  
Brad Lowery ◽  
Abigail Slater ◽  
Kaison Thies
Keyword(s):  
Least Squares ◽  
Method Of Least Squares ◽  
Sports Teams ◽  
New Model ◽  
College Basketball ◽  
Division 1

AbstractIn this paper, we present a new model for ranking sports teams. Our model uses all scoring data from all games to produce a functional rating by the method of least squares. The functional rating can be interpreted as a team average point differential adjusted for strength of schedule. Using two team’s functional ratings we can predict the expected point differential at any time in the game. We looked at three variations of our model accounting for home-court advantage in different ways. We use the 2018–2019 NCAA Division 1 men’s college basketball season to test the models and determined that home-court advantage is statistically important but does not differ between teams.

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