Elliptical Curves are Reducible: A Mathematical Approach

This research is to determine the effect of realistic mathematical approach on students’ learning motivation. The research method is pre-experiment of one group pretest posttest design. This study was conducted with 34 fifth grade students from a public school in Pekanbaru, Indonesia. The results indicate that students’ learning motivation significantly increases. Among six indicators measuring students’ learning motivation, the indicator of interesting activities in learning is the most increase, from 80.76% in pre-test to 86.40% in post-test. The average score of pretest in form of students’ learning motivation questionnaire before applying treatment was 90.56 while score posttest after treatment was 95,09 and the results of the research hypotheses using the comparative t-test tcount (6.997) > ttable (2.039). This means that there is an effect of applying the realistic mathematical approach to students’ learning motivation.

Download Full-text

Arm's Length Principle and Fix Length Principle Mathematical Approach

SSRN Electronic Journal ◽

10.2139/ssrn.3148276 ◽

2018 ◽

Cited By ~ 37

Author(s):

Constantinos Challoumis

Keyword(s):

Mathematical Approach ◽

Arm’S Length Principle

Download Full-text

Mathematical myocardium elasticity properties modeling in echocardiography study of diastolic and systolic function of the left ventricle (Preprint)

10.2196/preprints.20459 ◽

2020 ◽

Author(s):

Lucian Popescu ◽

Nelu-Mihai Trofenciuc ◽

Simina Crisan ◽

Aurora Diana Bordejevic ◽

Alexandru Mischie ◽

...

Keyword(s):

Left Ventricle ◽

Cardiac Cycle ◽

Systolic Function ◽

Study Group ◽

Mathematical Approach ◽

Energetic Approach ◽

Elasticity Property ◽

Property Modeling ◽

Coefficient Of Elasticity ◽

Mechanical Movement

BACKGROUND A systematic and quantitative comparative analysis for this subject has not been done so far. Thus defined, the coefficient of elasticity is a whole new dimension. OBJECTIVE This study proposes a new mathematical myocardium elasticity property modeling in characterizing of the ventricular diastole and systole. METHODS The study group consisted of 2283 consecutive patients evaluated by echocardiography. The mathematical approach is made starting from energetic consideration, by applying the energy conservation low for the blood entering from left atrium into left ventricle during diastole period. RESULTS Analyzing all the data obtained we developed two brand new coefficients to describe the cardiac cycle and we had verified if the coefficients are correlated with classically used parameters. We consider that the energetic approach take into consideration the whole mechanical movement that is happening inside the heart and can offer a very synthetic and scientific solid view about the cardiac cycle. CONCLUSIONS The new coefficients are simply to be calculated and as you will see from our research the correlation with other classically used parameters is obvious. The direct physical approach of blood flow within the heart can generate new, beneficial perspectives in diagnosing various heart conditions, or even in understanding how works the filling of the ventricles and atria during a heartbeat.

Download Full-text

Mathematical Approach to Generate Efficiency Maps for Induction Motor and Optimization for EV

2020 IEEE First International Conference on Smart Technologies for Power, Energy and Control (STPEC) ◽

10.1109/stpec49749.2020.9297758 ◽

2020 ◽

Author(s):

Soumik Ghosh ◽

Anurag Gupta ◽

Hemant Dashora ◽

Sant Ranjan

Keyword(s):

Induction Motor ◽

Mathematical Approach

Download Full-text

Isoscattering strings of concatenating graphs and networks

Scientific Reports ◽

10.1038/s41598-020-80950-6 ◽

2021 ◽

Vol 11 (1) ◽

Author(s):

Michał Ławniczak ◽

Adam Sawicki ◽

Małgorzata Białous ◽

Leszek Sirko

Keyword(s):

Trace Function ◽

Quantum Graphs ◽

Mathematical Approach ◽

Large Graphs ◽

Graphs And Networks ◽

Scattering Matrices ◽

Theoretical Predictions ◽

Infinite Strings ◽

Microwave Networks ◽

Insight Into

AbstractWe identify and investigate isoscattering strings of concatenating quantum graphs possessing n units and 2n infinite external leads. We give an insight into the principles of designing large graphs and networks for which the isoscattering properties are preserved for $$n \rightarrow \infty $$ n → ∞ . The theoretical predictions are confirmed experimentally using $$n=2$$ n = 2 units, four-leads microwave networks. In an experimental and mathematical approach our work goes beyond prior results by demonstrating that using a trace function one can address the unsettled until now problem of whether scattering properties of open complex graphs and networks with many external leads are uniquely connected to their shapes. The application of the trace function reduces the number of required entries to the $$2n \times 2n $$ 2 n × 2 n scattering matrices $${\hat{S}}$$ S ^ of the systems to 2n diagonal elements, while the old measures of isoscattering require all $$(2n)^2$$ ( 2 n ) 2 entries. The studied problem generalizes a famous question of Mark Kac “Can one hear the shape of a drum?”, originally posed in the case of isospectral dissipationless systems, to the case of infinite strings of open graphs and networks.

Download Full-text