Double-wall nanotube as vibrational system: Mathematical approach

2008 ◽  
Vol 31 (16) ◽  
pp. 1887-1904 ◽  
Author(s):  
Marianna A. Shubov ◽  
Miriam Rojas-Arenaza
Keyword(s):  
Mathematical Approach ◽  
Vibrational System ◽  
Double Wall

A mathematical approach to data evaluation with focus on prediction of minimal residual disease in pediatric ALL

2012 ◽  
Vol 224 (03) ◽  
Author(s):  
A Torge ◽  
M Zimmermann ◽  
A Möricke ◽  
R Köhler ◽  
A Schrauder ◽  
...  
Keyword(s):  
Minimal Residual Disease ◽  
Residual Disease ◽  
Data Evaluation ◽  
Mathematical Approach ◽  
Pediatric All ◽  
Minimal Residual

269. Use of an Objective Mathematical Approach to Facilitate Assigning Skin Notations

2000 ◽  
Author(s):  
M. Boeniger ◽  
H. Ahlers ◽  
B. Lushniak ◽  
R. Mickelsen ◽  
A. Morton ◽  
...  
Keyword(s):  
Mathematical Approach

The Effect of Realistic Mathematic Approach on Students’ Learning Motivation

2019 ◽  
Vol 2 (2) ◽  
pp. 145
Author(s):  
Shindy Lestari ◽  
Syahrilfuddin Syahrilfuddin ◽  
Neni Hermita ◽  
Zetra Hainul Putra
Keyword(s):  
Public School ◽  
Research Method ◽  
T Test ◽  
Learning Motivation ◽  
Fifth Grade ◽  
Average Score ◽  
Mathematical Approach ◽  
Fifth Grade Students ◽  
Post Test ◽  
Realistic Mathematic

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.

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

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.

Bending fatigue of single-wall and double-wall corrugated paperboards under sinusoidal and random loads

2021 ◽  
pp. 109963622110204
Author(s):  
Zhi-Wei Wang ◽  
Yang-Zhou Lai ◽  
Li-Jun Wang
Keyword(s):  
Energy Dissipation ◽  
Fatigue Failure ◽  
Fatigue Tests ◽  
Stiffness Degradation ◽  
Random Load ◽  
Bending Fatigue ◽  
Random Loads ◽  
Vibration Fatigue ◽  
Sinusoidal Load ◽  
Double Wall

The bending fatigue tests of single-wall and double-wall corrugated paperboards were conducted to obtain the εrms– N curves under sinusoidal and random loads in this paper. The εrms– N equation of corrugated paperboard can be described by modified Coffin–Manson model considering the effect of mean stress. Four independent fatigue parameters are obtained for single-wall and double-wall corrugated paperboards. The εrms– N curve under random load moves left and rotates clockwise compared with that under sinusoidal load. The fatigue life under random load is much less than that under sinusoidal load, and the fatigue design of corrugated box should be based on the fatigue result under random load. The stiffness degradation and energy dissipation of double-wall corrugated paperboard before approaching fatigue failure are very different from that of single-wall one. For double-wall corrugated paperboard, two turning points occur in the stiffness degradation, and fluctuation occurs in the energy dissipation. Different from metal materials, the bending fatigue failure of corrugated paperboard is a process of wrinkle forming, spreading, and folding. The results obtained have practical values for the design of vibration fatigue of corrugated box.

scholarly journals Isoscattering strings of concatenating graphs and networks

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.

Sign in / Sign up

Export Citation Format

Share Document