On the continuity of lyapunov exponents of random walks in random potentials

We consider a simple random walk in an i.i.d. non-negative potential on the d-dimensional integer lattice, $d\geq 3$. We study the quenched Lyapunov exponents, and present a probabilistic proof of its continuity when the potentials converge in distribution.Comment: 24

New summation inequalities and their applications to discrete-time delay systems

This paper provides new summation inequalities in both single and double forms to be used in stability analysis of discrete-time systems with time-varying delays. The potential capability of the newly derived inequalities is demonstrated by establishing less conservative stability conditions for a class of linear discrete-time systems with an interval time-varying delay in the framework of linear matrix inequalities. The effectiveness and least conservativeness of the derived stability conditions are shown by academic and practical examples.Comment: 15 pages, 01 figur

Liberal Democracy in America and Socialism in Vietnam Impact on Health Insurance Policy

The world is distinguished by a variety of economic and social systems, which have a number of distinctive features, including obvious benefits and implications. The comparison of capitalism that dominates in the United States of America and Vietnamese socialism, presented in this work, made it possible to draw certain conclusions regarding the effectiveness of both political directions. Their definitions and basic provisions contain inherently some pitfalls, the negative consequences of which can be observed in the social spheres of the United States and Vietnam. The United States has traveled its own special development path, which allowed it to reach a quality level in health care, while Vietnam is at the beginning of its evolution, which can lead the country to any result. This study also drew attention to the functioning of the medical sector during the global pandemic that affected all countries without exception. The paper also looked at the health insurance systems existing in these countries and their ability to respond to the needs and demands of the citizens. In general, it is quite difficult to compare the United States and Vietnam because of the fundamental differences in lifestyles and the general approach to medical care. In the context of this pandemic, which has not yet passed its active phase to a greater extent, it is reckless to make long-term forecasts. However, it is possible to identify greater adequacy of the American approach to health insurance compared to the Vietnamese system after using combined research methods

A Note on the Asymptotic Stability of Fuzzy Differential Equations

We study the stability of solutions of fuzzy differential equations by Lyapunov's second method. By using scale equations and the comparison principle for Lyapunov-like functions, we give sufficient criteria for the stability and asymptotic stability of solutions of fuzzy differential equations.Вивчено стійкість розв'язків нечітких диференціальних рівнянь за допомогою другого методу Ляпунова. За допомогою масштабних рівнянь та принципу порівняння для рівнянь типу Ляпунова встановлено достатні умови стабільності та асимптотичної стабільності розв'язків нечітких диференціальних рівнянь

Study to process abnormal data for GNSS monitoring system of a long-span cable-stayed bridge in Vietnam

Global Positioning System (GPS) or currently upgraded to Global Navigation Satellite System (GNSS) has been applied in many SHM systems of the super-structures, especially in the long-span bridges. A GNSS system has the ability in monitoring the global deformation of a long-span cable-stayed bridge at the millimeter level of accuracy in real-time. However, the GNSS monitoring dataset acquired from a SHM system includes various noise data such as abnormal data, missing data, and so on. This paper studies de-noising methods to detect and replace the abnormal data of a GPS monitoring dataset acquired from a real cable-stayed bridge in Vietnam. Firstly, a GPS monitoring dataset of an actual long-span cable-stayed bridge was acquired to study processing abnormal data. A scenario of abnormal data was created in a time-series GPS data, and then the Hampel identifier method was applied to detect and replace the abnormal data. The replacing data were then assessed for precision and reliability by using correlation analysis and RMSE criterion. Finally, a long-term GNSS monitoring dataset processed the abnormal data automatically. The results show, that abnormal data in GPS monitoring data can be detected and replaced with high accuracy and reliability

Study to process abnormal data for GNSS monitoring system of a long-span cable-stayed bridge in Vietnam

Global Positioning System (GPS) or currently upgraded to Global Navigation Satellite System (GNSS) has been applied in many SHM systems of the super-structures, especially in the long-span bridges. A GNSS system has the ability in monitoring the global deformation of a long-span cable-stayed bridge at the millimeter level of accuracy in real-time. However, the GNSS monitoring dataset acquired from a SHM system includes various noise data such as abnormal data, missing data, and so on. This paper studies de-noising methods to detect and replace the abnormal data of a GPS monitoring dataset acquired from a real cable-stayed bridge in Vietnam. Firstly, a GPS monitoring dataset of an actual long-span cable-stayed bridge was acquired to study processing abnormal data. A scenario of abnormal data was created in a time-series GPS data, and then the Hampel identifier method was applied to detect and replace the abnormal data. The replacing data were then assessed for precision and reliability by using correlation analysis and RMSE criterion. Finally, a long-term GNSS monitoring dataset processed the abnormal data automatically. The results show, that abnormal data in GPS monitoring data can be detected and replaced with high accuracy and reliability

On the existence and exponential attractivity of a unique positive almost periodic solution to an impulsive hematopoiesis model with delays

In this paper, a generalized model of hematopoiesis with delays and impulses is considered. By employing the contraction mapping principle and a novel type of impulsive delay inequality, we prove the existence of a unique positive almost periodic solution of the model. It is also proved that, under the proposed conditions in this paper, the unique positive almost periodic solution is globally exponentially attractive. A numerical example is given to illustrate the effectiveness of the obtained results.Comment: Accepted for publication in AM

Stability of Solutions of Fuzzy Differential Equations

In this paper, We study the stability of solutions of fuzzy differential equations by Lyapunov's second method. By using scale equations and comparison principle for Lyapunov - like functions, we give some sufficient criterias for the stability and asymptotic stability of solutions of fuzzy differential equations.Comment: 10 pages, 5 Theorems, interesting result in Exponential Stabilit

Artificial De Novo Tetramer Hydrogenase Mimic, Co-Metallopeptide Titration, and Photocatalysis

Alternative energy is more imperative than ever as we continue to exhaust nonrenewable resources. There is promise in artificial hydrogenases that produce hydrogen gas which can be an alternate source of clean, sustainable renewable energy. Moreover, artificial metalloenzymes were designed for solar H2 production using de novo designed metallopeptides. A computer-guided design approach was used to conceive the peptides. These peptides are 30 amino acids long and are designed to self-assemble into tetrameric structures. There are suitably positioned cysteine residues that bind the metal Co and form metallic clusters within these artificial proteins. The Co-metallopeptides were then characterized by employing spectroscopic techniques. They were found to have varying binding activity and optimal photocatalytic activity with 2 equivalents of Cobalt at pH 5 out of pH’s 4, 5, and 6.3

EFFECT OF MUSIC ON PHYSICAL FITNESS FOR GRADE 11 IN FEMALE VOVINAM STUDENTS AT TRAN QUANG KHAI HIGH SCHOOL, HOCHIMINH CITY, VIETNAM

The purpose of this study was to evaluate the application of music to female students when participating in Vovinam sessions at Tran Quang Khai High School, Hochiminh City, Vietnam, to improve their physical fitness. 80 healthy female students were chosen and divided into two groups: 40 female students were in the experimental group with the application of music, and the 40 female students remaining were in the 36 training sessions without music. The music tempos were around 120-140 bpm. Two famous Vietnamese songs were chosen to use in Vovinam for training. Six fitness tests, such as 30 seconds sit-up test (evaluated the core strength), 30m sprint test (speed), 4x10m Shuttle run test (agility), standing long jump test (the explosive power of the legs), handgrip strength test (strength of the hand), 5 minutes running field test (maximal aerobic speed-MAS) were used to evaluate the physical fitness for female students. The results indicated that the application of music improved the power of the legs, agility, speed, core strength, strength of the hand, and MAS. In short, the application of music for female students participating in badminton had many benefits in increasing their physical fitness. More studies should evaluate the influence of music on many kinds of sports and assess the concentration of participants when applying music.  Article visualizations