Teaching the Graphical Method of Solving Equations

2014 ◽  
pp. 173-190
Author(s):  
Ida Ah Chee Mok
Keyword(s):  
Graphical Method ◽  
Solving Equations

SOLUTION OF EQUATIONS AND INEQUALITIES CONTAINING THE SUM OF MODULES

2020 ◽  
Author(s):  
Маирбек Сулейманович Бичегкуев ◽  
Эльбрус Георгиевич Олисаев
Keyword(s):  
Standard Method ◽  
Graphical Method ◽  
Equivalent System ◽  
Standard Methods ◽  
Solution Of Equations ◽  
Solving Equations

В работе приводится нестандартный метод решения уравнений и неравенств, содержащих сумму модулей, - метод перехода к равносильной системе или совокупности уравнений и неравенств. Это дает более рациональное и короткое решение рассматриваемых задач по сравнению со стандартными способами - методом последовательного раскрытия модулей или графическим методом. The paper presents a non-standard method for solving equations and inequalities containing the sum of modules - a method of transition to an equivalent system or set of equations and inequalities. This gives a more rational and shorter solution to the problems under consideration in comparison with standard methods - the method of sequential expansion of modules or the graphical method.

scholarly journals PPROBLEMS OF PHYSICAL CONTENT, REDUCED TO A SYSTEM OF LINEAR EQUATIONS WITH TWO VARIABLES

2020 ◽  
Vol 72 (4) ◽  
pp. 48-55
Author(s):  
Zh.А. Nurmaganbetova ◽  
◽  
N.К. Аshirbayev ◽  
А.M. Polatbek ◽  
А.О. Bаidibekova ◽  
...  
Keyword(s):  
Teaching Methods ◽  
Graphical Method ◽  
Linear Equations ◽  
Linear Functions ◽  
Teaching Mathematics ◽  
System Of Linear Equations ◽  
Physical Content ◽  
Concept Of Function ◽  
Solving Equations ◽  
Mathematics Teaching Methods

Functional and graphic lines are one of the foundations of mathematics teaching methods. The advantage of this line is that the study of other important lines of mathematics is carried out through the prism of the concept of function. Based on the experience of teaching mathematics, we know that the concept of function is abstract and very difficult for students to understand, so in order to enhance the visualization of the researching objects and concepts when implementing functional and graphic lines, students need to increase the system of physical content tasks for studying and understanding functions. In school course of algebra, the functional-graphical method is rarely used for solving a system of equations with two unknowns, as well as for solving equations with two unknowns. The article deals with the problems of solving problems of physical content when studying a system of linear equations with two variables in school course of algebra. The emphasis is on the fact that the considered problems with physical content are interconnected with functionalgraphic lines in algebra and allow deepening the topic, revealing the practical content. The problems with physical content presented in the article are intended for studying linear functions of algebra and their graphs, studying functions, constructing and solving equations and a system of linear equations associated with these functions.

Relation of Statistically Significant, Abnormal, and Typical WAIS-R VIQ-PIQ Discrepancies to Full Scale IQs

2000 ◽  
Vol 16 (2) ◽  
pp. 107-114 ◽  
Author(s):  
Louis M. Hsu ◽  
Judy Hayman ◽  
Judith Koch ◽  
Debbie Mandell
Keyword(s):  
Graphical Method ◽  
The United States ◽  
Full Scale ◽  
True Score ◽  
Absolute Value ◽  
Normative Population ◽  
The Us ◽  
The Mean ◽  
And Performance ◽  
Quadratic Models

Summary: In the United States' normative population for the WAIS-R, differences (Ds) between persons' verbal and performance IQs (VIQs and PIQs) tend to increase with an increase in full scale IQs (FSIQs). This suggests that norm-referenced interpretations of Ds should take FSIQs into account. Two new graphs are presented to facilitate this type of interpretation. One of these graphs estimates the mean of absolute values of D (called typical D) at each FSIQ level of the US normative population. The other graph estimates the absolute value of D that is exceeded only 5% of the time (called abnormal D) at each FSIQ level of this population. A graph for the identification of conventional “statistically significant Ds” (also called “reliable Ds”) is also presented. A reliable D is defined in the context of classical true score theory as an absolute D that is unlikely (p < .05) to be exceeded by a person whose true VIQ and PIQ are equal. As conventionally defined reliable Ds do not depend on the FSIQ. The graphs of typical and abnormal Ds are based on quadratic models of the relation of sizes of Ds to FSIQs. These models are generalizations of models described in Hsu (1996) . The new graphical method of identifying Abnormal Ds is compared to the conventional Payne-Jones method of identifying these Ds. Implications of the three juxtaposed graphs for the interpretation of VIQ-PIQ differences are discussed.

Dynamic Behavior Analysis of the Slider Crank Linkage using ANSYS Workbench and MATLAB Program

2013 ◽  
Vol 1 (1) ◽  
pp. 42-25
Author(s):  
Nabil N. Swadi
Keyword(s):  
Graphical Method ◽  
Joint Torque ◽  
Pressure Force ◽  
Matlab Program ◽  
Element Simulation ◽  
Acceleration Method ◽  
Complete Revolution ◽  
Two Phases ◽  
Good Agreement ◽  
Ansys Workbench

This paper is concerned with the study of the kinematic and kinetic analysis of a slider crank linkage using D'Alembert's principle. The links of the considered mechanism are assumed to be rigid. The analytical solution to observe the motion (displacement, velocity, and acceleration), reactions at each joint, torque required to drive the mechanism and the shaking force have been computed by a computer program written in MATLAB language over one complete revolution of the crank shaft. The results are compared with a finite element simulation carried out by using ANSYS Workbench software and are found to be in good agreement. A graphical method (relative velocity and acceleration method) has been also applied for two phases of the crank shaft (q2 = 10° and 130°). The results obtained from this method (graphical) are compared with those obtained from analytical and numerical method and are found very acceptable. To make the analysis linear the friction force on the joints and sliding interface are neglected. All results, in this work, are obtained when the crank shaft turns at a uniform angular velocity (w2 = 188.5 rad/s) and time dependent gas pressure force on the slider crown.

A Graphical Method to Study Electrostatic Potentials of 25 nm Channel Length DG SOI MOSFETs

2018 ◽  
Vol 10 (4) ◽  
pp. 04027-1-04027-4
Author(s):  
M. Djerioui ◽  
◽  
M. Hebali ◽  
D. Chalabi ◽  
A. Saidane ◽  
...  
Keyword(s):  
Graphical Method ◽  
Channel Length ◽  
Electrostatic Potentials

A Graphical Method for Storage Coefficient Determination from Quasi-Steady State Flow Data

1996 ◽  
Vol 27 (4) ◽  
pp. 247-254 ◽  
Author(s):  
Zekâi Şen
Keyword(s):  
Steady State ◽  
Graphical Method ◽  
Pumping Test ◽  
Quasi Steady State ◽  
Flow Data ◽  
Steady State Flow ◽  
Storage Coefficient ◽  
State Flow ◽  
Aquifer Test

A simple, approximate but practical graphical method is proposed for estimating the storage coefficient independently from the transmissivity value, provided that quasi-steady state flow data are available from a pumping test. In the past, quasi-steady state flow distance-drawdown data have been used for the determination of transmissivity only. The method is applicable to confined and leaky aquifers. The application of the method has been performed for various aquifer test data available in the groundwater literature. The results are within the practical limits of approximation compared with the unsteady state flow solutions.

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