Erasure-Resilient Sublinear-Time Graph Algorithms

We investigate sublinear-time algorithms that take partially erased graphs represented by adjacency lists as input. Our algorithms make degree and neighbor queries to the input graph and work with a specified fraction of adversarial erasures in adjacency entries. We focus on two computational tasks: testing if a graph is connected or ε-far from connected and estimating the average degree. For testing connectedness, we discover a threshold phenomenon: when the fraction of erasures is less than ε, this property can be tested efficiently (in time independent of the size of the graph); when the fraction of erasures is at least ε, then a number of queries linear in the size of the graph representation is required. Our erasure-resilient algorithm (for the special case with no erasures) is an improvement over the previously known algorithm for connectedness in the standard property testing model and has optimal dependence on the proximity parameter ε. For estimating the average degree, our results provide an “interpolation” between the query complexity for this computational task in the model with no erasures in two different settings: with only degree queries, investigated by Feige (SIAM J. Comput. ‘06), and with degree queries and neighbor queries, investigated by Goldreich and Ron (Random Struct. Algorithms ‘08) and Eden et al. (ICALP ‘17). We conclude with a discussion of our model and open questions raised by our work.

OBSTACLES OF APPLYING SCIENCE AND MATHEMATICS TEACHERS’ OF FUTURE SKILLS IN BASIC EDUCATION SCHOOLS IN THE SULTANATE OF OMAN FROM THE POINT OF VIEW OF TEACHERS AND EDUCATIONAL SUPERVISORS

This study aimed to show the obstacles that prevent the employment of science and mathematics teachers in employing future skills in basic education schools. A sample of (157) male and female teachers, and (51) supervisors. The results of the study revealed that the degree of obstacles faced by science and mathematics teachers in employing future skills in basic education schools in the Sultanate of Oman. From the point of view of teachers and educational supervisors, it came to a large extent with an arithmetic mean (3,64). The results also indicated that there were no statistically significant differences at the level of significance (α = 0.05) between the average degree of obstacles due to job variables, while the results indicated that there were statistically significant differences at the level of significance (α = 0.05) between The average degree of obstacles is due to the variable of specialization in favor of mathematics teachers. The researchers recommended the necessity of urging teachers to apply modern teaching strategies and assessment activities that focus on future skills, and to reduce administrative burdens on teachers.

Influence of environment, temperature and time of the thermal modification of ash wood (Fraxinus excelsior L.) on the cellulose weight average degree of polymerization

Influence of environment, temperature and time of the thermal modification of ash wood (Fraxinus excelsior L.) on the cellulose weight average degree of polymerization . Using the size-exclusion chromatography (HPLC SEC) method, the weight average degree of cellulose polymerization was determined. The polymer was isolated by the Kürschner-Hoffer method from ash wood (Fraxinus excelsior L.). The wood was thermally modified in different environments (nitrogen, steam and air) at 190°C and modification times of 2, 6 and 10 hours. Depending on the anaerobic atmosphere used, the highest values of the weight average degree of cellulose polymerization were obtained for the nitrogen environment, followed by steam and air. The effect of modification time on the weight average degree of polymerization was observed. The highest values were obtained for wood modified at 2 hours, then 6 and 10 hours of modification. The native wood showed the highest degree of polymerization. On the basis of the results obtained, it can be concluded that for the material studied the oxidation and degradation reactions occurring depend on the environment and time for a given temperature of wood modification.

Quality of Life and its Relation with Psychological Loneliness and Depression Among the Teachers of the Ministry of Education in Ajloun Province- Jordan: جودة الحياة وعلاقتها بالوحدة النفسية والاكتئاب لدى معلمي وزارة التربية والتعليم في محافظة عجلون- الأردن

This study aimed to identify the quality of life and its relationship to psychological unity and depression among teachers of the Ministry of Education in Ajloun Governorate, and the study used the descriptive analytical approach, the study population consisted of teachers of the Ministry of Education in Ajloun Governorate, the study sample consisted of (387) teachers in The Ministry of Education in Ajloun Governorate, they were randomly selected, and to achieve the goals of the study, the researcher designed a questionnaire as a tool to collect data from members of the study sample, and the study reached the most important results: The study showed: There is an average degree in the level of quality of life for teachers of the Ministry of Education in the province Ajloun, the presence of an average degree in the level of psychological unity among the teachers of the Ministry of Education in Ajloun Governorate, the presence of a degree of level of depression among the teachers of the Ministry of Education in Ajloun Governorate, and the study also showed an inverse relationship between the quality of life and psychological Loneliness, and the existence of an inverse relationship between the quality of life and depression, Based on the results, the study recommended the following: Developing a system of rewards and incentives for advertisers to improve their living conditions, to satisfy their needs in order to reach a neighborhood Ah good. Reducing the academic burden and other activities by increasing the number of teachers in schools, reducing the administrative tasks assigned to teachers, especially new teachers, and developing training and qualification programs for them to be better able to face psychological unity and depression, conducting more studies on quality of life, psychological unity, and depression among teachers to reveal the extent of Its spread and its negative effects on the educational process.

The Degree of Secondary School Managers' Practice of Servant Leadership in Gaza from the Teachers’ Perspective

The study aims to know the degree of secondary school managers' practice of servant leadership in Gaza from their teachers’ perspective. It further aims to examine whether there are any statistically significant differences at (α 0.05≥) between the means of the study sample’s members attributed to variables such as (gender, educational qualification, and years of experience). To achieve the objectives of the study, the study adopted the descriptive survey method, using a questionnaire consisting of (30) items distributed to four domains: (workers service, ethical dealing, motivation & influence, and building an organized, integrated society). Then, the questionnaire was distributed to the sample, which consisted of (262) teachers. The study has shown that the total estimation degree of the sample regarding their managers’ use of servant leadership is great at a mean of (3.94) and a relative weight equal to (78.8%). The study has further revealed that the dimension of (ethical dealing) occupied the first rank with a relative weight of (81.4%), whereas the dimension of “workers service and motivation & influence”, scored the second rank with a relative weight of (78.7%). As for the dimension of building an organized and integrated society, it took the last rank with a relative weight of (75%). It has been further noticed that there are no statistically significant differences at (α 0.05 ≥) between the average degree of the study sample in relation to the variables (gender, educational qualification, and years of experience).

Network Robustness Analysis Based on Maximum Flow

Network robustness is the ability of a network to maintain a certain level of structural integrity and its original functions after being attacked, and it is the key to whether the damaged network can continue to operate normally. We define two types of robustness evaluation indicators based on network maximum flow: flow capacity robustness, which assesses the ability of the network to resist attack, and flow recovery robustness, which assesses the ability to rebuild the network after an attack on the network. To verify the effectiveness of the robustness indicators proposed in this study, we simulate four typical networks and analyze their robustness, and the results show that a high-density random network is stronger than a low-density network in terms of connectivity and resilience; the growth rate parameter of scale-free network does not have a significant impact on robustness changes in most cases; the greater the average degree of a regular network, the greater the robustness; the robustness of small-world network increases with the increase in the average degree. In addition, there is a critical damage rate (when the node damage rate is less than this critical value, the damaged nodes and edges can almost be completely recovered) when examining flow recovery robustness, and the critical damage rate is around 20%. Flow capacity robustness and flow recovery robustness enrich the network structure indicator system and more comprehensively describe the structural stability of real networks.

CONTRIBUTIONS TO THE INDIAN JOURNAL OF VETERINARY AND ANIMAL SCIENCES RESEARCH (IJVASR): A SCIENTOMETRIC ANALYSIS

A Scientometric study was performed on 235 research articles published in the Indian Journal of Veterinary and Animal Sciences Research (IJVASR). For the current analysis, six volumes of the journal totalling 30 issues from 2016 to 2020 were considered. The amounts of contributions, authorship patterns, author productivity, average article length, and average keyword density have all been examined. Only 20 of the 235 contributions were single-authored, while the rest were multi-authored, with an average degree of collaboration of 0.91 and a week of collaboration between the writers. The increasing tendency of co-authored publications was highlighted by the pattern of co-authorship. According to the research, author productivity is 0.26.

Temporary cardiointerval organization with varying degrees of acute normobaric hypoxia in a healthy person

The influence of acute normobaric hypoxia (ANH) on the male heart chronotropic effects was studied. Thus, a mild degree of ANH (14.5 % O2, 20 min), causing a decrease in blood oxygenation by 6.3 abs. %, accompanied by an initial (by 5 min) decrease in the RR and QT intervals. The average degree of ANH (12.3% O2) leads to a decrease in blood oxygenation by 19.7 abs. %. At the same time, in inverse relationship to the developing hypoxemia, RR and QT significantly decrease. Corrected values (Pc, PQc, QRSc, QTc) increase during the action period of an average degree of hypoxia, indicating an increase in the proportion of atrial contraction time, atrioventricular conduction of excitation and electrical ventricular systole in the total RR duration, which, apparently, provides optimal systolic heart effect. Key words: human, hypoxia, blood oxygenation, cardiointervals.

The degree of career polarization among educational leaders in the Jordanian Education Directorates

<p><span>The study aimed to identify the degree of career polarization among educational leaders in the Jordanian–education directorates of Ajloun and Jersah. The researchers adopted the descriptive -analytical approach for its suitability for such studies. The researchers used the questionnaire as the study instrument, which comprised 20 items. The researchers distributed the items in two domains, 10 items were for each domain as the study instrument. The sample of the study comprised 250 educational leaders for the first semester of the academic year 2019-2020. The study results showed that the degree of career polarization among educational leaders in the Jordanian Ministry of Education came with an average degree of rating in all its domains and for all items. The results also showed that there were no statistically significant differences at the level of statistical significance (α=0.05) attributed to the two study variables. Gender and the number of years of experience are the two study variables.</span></p>