This study introduces the representation of natural number sets as row vectors and pretends to offer a new perspective on the strong Goldbach conjecture. The natural numbers are restructured and expanded with the incl...This study introduces the representation of natural number sets as row vectors and pretends to offer a new perspective on the strong Goldbach conjecture. The natural numbers are restructured and expanded with the inclusion of the zero element as the source of a strong Goldbach conjecture reformulation. A prime Boolean vector is defined, pinpointing the positions of prime numbers within the odd number sequence. The natural unit primality is discussed in this context and transformed into a source of quantum-like indetermination. This approach allows for rephrasing the strong Goldbach conjecture, framed within a Boolean scalar product between the prime Boolean vector and its reverse. Throughout the discussion, other intriguing topics emerge and are thoroughly analyzed. A final description of two empirical algorithms is provided to prove the strong Goldbach conjecture.展开更多
English reading,a key procedure of English learning and teaching in middle school,is an essential way of getting information from the globe and communicating with others.Therefore,efficient comprehension on reading ma...English reading,a key procedure of English learning and teaching in middle school,is an essential way of getting information from the globe and communicating with others.Therefore,efficient comprehension on reading materials will directly serve for accepting the information.And it is extremely important for middle school students to acquire certain reading ability.At present,great attention has been paid to the course of reading in the instruction of English by the Chinese Education Department.But middle school students'read ing ability is still much lower than the target they should reach because of a set of existing obstacles that prevent them from being effective English readers.What are these obstacles? How to break them down? This paper will first point out and then analyze the obstacles that af fect middle school students'reading ability from two aspects:linguistic obstacles(obstacles of lexicon,grammar and background knowl edge) and non-linguistic obstacles(obstacles of psychology,interest,skill,and habit).After demonstrating different obstacles,the paper also come up with some corresponding strategies in the hope of helping middle school students to be effective English readers.展开更多
Links Following recent fatal accident,school bus checks kick off nationwide in China According to Xinhua news, twenty-one people, including 19 preschoolers and two adults, died and 43 others were injured when a nine-s...Links Following recent fatal accident,school bus checks kick off nationwide in China According to Xinhua news, twenty-one people, including 19 preschoolers and two adults, died and 43 others were injured when a nine-seat school bus illegally carrying 64 people collided head-on with a展开更多
The school bus system in the United States took its form in 1939 when Frank W. Cyr, from the New York-based Teachers College of Columbia University, organized a national standards conference for school transportation....The school bus system in the United States took its form in 1939 when Frank W. Cyr, from the New York-based Teachers College of Columbia University, organized a national standards conference for school transportation. Representatives of education and transportation depart- ments from all 48 states, together with school bus manufacturers, attended the 7-day meeting. They worked out 45 standards and rules concerning school bus safety, specifying in detail school bus length, roof height, aisle width, etc.展开更多
Goldbach’s Conjecture (“Every even positive integer strictly larger than 4 is the sum of two primes”) has remained unproven since 1742. This paper contains the proof that every positive composite integer n strictly...Goldbach’s Conjecture (“Every even positive integer strictly larger than 4 is the sum of two primes”) has remained unproven since 1742. This paper contains the proof that every positive composite integer n strictly larger than 3, is located at the middle of the distance between two primes, which implicitly proves Goldbach’s Conjecture for 2n as well.展开更多
There is an extensive attention in developed countries to take full advantages of urban green spaces including green school grounds.Those spaces are assessed and established as environmental learning resources,where t...There is an extensive attention in developed countries to take full advantages of urban green spaces including green school grounds.Those spaces are assessed and established as environmental learning resources,where top-down or bottom-up initiatives encourage or initiate projects with the support of school staffs and students.Green school grounds are also used for gardening(food growing)that besides environmental education,those spaces provide health benefits and knowledge,also skills and behavioral benefits.Those approaches in some developing countries are still vague or inapplicable for several reasons.This paper addresses the use and value of school grounds in developing countries as it lacks the opportunities to make the most of green school grounds.This research elaborated five schools,in the city of Podujevo,Kosovo.The findings reveal that the potentials of green school grounds in most of the cases studied have not been utilized.Opportunities offered by the municipality and environmental NGOs(Non-governmental Organizations)are insufficient.The findings suggest the need to rethink the design and use of green school grounds in developing countries.展开更多
The oldest Goldbach’s Conjecture (“Every even positive integer strictly larger than 4 is the sum of two primes”) has remained unproven since 1742. The recent proof [1] connected Goldbach’s Conjecture with the fact...The oldest Goldbach’s Conjecture (“Every even positive integer strictly larger than 4 is the sum of two primes”) has remained unproven since 1742. The recent proof [1] connected Goldbach’s Conjecture with the fact that every positive composite integer n strictly larger than 3, is located at the middle of the distance between two primes. The present paper contains explicit additional and complementary details of the proof, insisting on the existence and the number of Goldbach’s representations of even positive integers as sums of pairs of primes.展开更多
Background: The prevention of cardiovascular disease (CVD) can substantially contribute to reducing the mortality rate across countries. The level of interest in cholesterol among experts increases when the subjects a...Background: The prevention of cardiovascular disease (CVD) can substantially contribute to reducing the mortality rate across countries. The level of interest in cholesterol among experts increases when the subjects are elderly and obese individuals. However, specialists do not recommend that children should receive the cholesterol test. The objective of this study was to investigate the distribution of cholesterol levels among the children of public school and their parents’ lifestyles that are associated with cholesterol levels, and to assess the need for and utility of cholesterol testing in school settings. Methods: The study investigated a group of 226 fourth-grade public school children aged between 9 and 10 years and guardians in Akitakatacity of Hiroshima Prefecture, Japan. Multiple regression analyses were performed with the logarithmic value of cholesterol levels as a response variable, awareness about lifestyles and health of children as an explanatory variable, and child’s sex and body mass index (BMI) as moderating variables. Using questionnaires about lifestyles, the step-down procedure was applied in multiple regression analyses to narrow down relevant lifestyle variables. Results: The percentage of children with the high total cholesterol (TC) value was about 15 and with low-density lipoprotein (LDL) cholesterol value was about 10. Children with low high-density lipoprotein (HDL) cholesterol value were 5%. Treatment was not required according to the comprehensive assessment. Cholesterol levels were associated with the situation of the children and their guardians as follows, guardian need to consider the food, and child has the correct knowledge about food like how to eat snacks. Conclusions: Children had poor cholesterol levels. From childhood, along with the parents, there is a need to learn about appropriate level of cholesterol for CVD prevention.展开更多
Dengue has been a critical problem for an Islamic School, Nakhon Si Thammarat province, Southern Thailand. Objectives: 1) to build student capacity;and 2) to evaluate the results of student capacity building. Method: ...Dengue has been a critical problem for an Islamic School, Nakhon Si Thammarat province, Southern Thailand. Objectives: 1) to build student capacity;and 2) to evaluate the results of student capacity building. Method: Participatory Action Research: PAR was applied in three phases: 1) the school-based preparation phase;2) the process of building student capacity phase, and 3) evaluation of the results of the student capacity building. Independent T-Test statistical method was used to analyze student capacity both before and after the intervention. Larval Indices were determined through ratio analysis. Results: Prior to the intervention, there was no clear strategy for combating dengue. In this study, three groups were formed to build student capacity: a leader group, a non-leader group, and a support group. The leader group (48 student leaders), critical to the study, was set as a dengue club named “Eliminate Ades Aegypti, the culprit of dengue” which focused on eight sets of activities: “Dengue or Death”, “Seniors educating juniors”, “Reward for good answers”, “Dengue monitoring team”, “Youth to expel mosquetoes”, “Mosquito or busy”, “Garbage elimination of Pondok”, and “Essential doctors”. The level of student capacity for the prevention and control of dengue of a sampling of 308 student representatives of the Pondok (Islamic school) showed an increase after intervention ( (SD);56.78 (17.06);65.33(15.36) and different statistic significant (P < 0.001). The Larval indices ratio levels had decreased from the original levels (BI = 244, HI = 45, and CI = 26) after intervention (BI = 137, HI = 39, and CI = 19). Dengue morbidity and mortality rates were not found during the study. Discussion: Although there had been an increase in student capacity, a decrease in the larval indices ratio, and the absence of a dengue epidemiology index, the high risk of a dengue epidemic might still be found in the school because the ratio of larval indices were higher than the standard index. Then, the committed participation of students, school, and communities around the school vicinity is needed in building student capacity of dengue prevention and control.展开更多
The metaphysical poetry,as a rather influential literary school,plays a momentous andpredominant part in eariy seventeenth century English literature.The marked quality ofmetaphysical poetry,as practiced by Donne and ...The metaphysical poetry,as a rather influential literary school,plays a momentous andpredominant part in eariy seventeenth century English literature.The marked quality ofmetaphysical poetry,as practiced by Donne and his successors,is their philosophical subtlety orintellectual rigor,while the quintessence of which consists in its peculiar blend of thought andpassion of realistic violence and meditative refinements.Doctor Johnson accused the展开更多
In this paper, we consider the Goldbach＇s problem for matrix rings, namely, we decompose an n × n （n 〉 1） matrix over a principal ideal domain R into a sum of two matrices in Mn,（R） with given determinants....In this paper, we consider the Goldbach＇s problem for matrix rings, namely, we decompose an n × n （n 〉 1） matrix over a principal ideal domain R into a sum of two matrices in Mn,（R） with given determinants. We prove the following result： Let n 〉 1 be a natural number and A = （aij） be a matrix in Mn（R）. Define d（A） ：= g.c.d{aij}. Suppose that p and q are two elements in R. Then （1） If n 〉 1 is even, then A can be written as a sum of two matrices X, Y in Mn（R） with det（X） = p and det（Y） = q if and only if d（A） [ p - q; （2） If n 〉 1 is odd, then A can be written as a sum of two matrices X, Y in Mn（R） with det（X） = p and det（Y） = q if and only if d（A） ｜ p ＋ q. We apply the result to the matrices in Mn（Z） and Mn（Q[x]） and prove that if R = 7. or Q[x], then any nonzero matrix A in Mn（R） can be written as a sum of two matrices in Mn（R） with prime determinants.展开更多
The famous strongly binary Goldbach’s conjecture asserts that every even number 2n ≥ 8 can always be expressible as a sum of two distinct odd prime numbers. We use a new approach to dealing with this conjecture. Spe...The famous strongly binary Goldbach’s conjecture asserts that every even number 2n ≥ 8 can always be expressible as a sum of two distinct odd prime numbers. We use a new approach to dealing with this conjecture. Specifically, we apply the element order prime graphs of alternating groups of degrees 2n and 2n −1 to characterize this conjecture, and present its six group-theoretic versions;and further prove that this conjecture is true for p +1 and p −1 whenever p ≥ 11 is a prime number.展开更多
From September this year, trial editions of Sex Health Guidance for Senior Middle School Students, and Sex Health Guidance for Junior Middle School Students, will be used in several schools in Haidian District, Beijin...From September this year, trial editions of Sex Health Guidance for Senior Middle School Students, and Sex Health Guidance for Junior Middle School Students, will be used in several schools in Haidian District, Beijing. Haidian Education Commission has sent out notices to all middle schools in the district, including secondary specialized schools,展开更多
Postmodern cultural school makes a deep exploration of women's social roles and values from the perspective of human beings' social naturalness,culture and social function,conducts deep introspection on women&...Postmodern cultural school makes a deep exploration of women's social roles and values from the perspective of human beings' social naturalness,culture and social function,conducts deep introspection on women's social status from both macro and micro levels and carries out a brand newinterpretation of the impetus effect of critical thinking on women's social development. Postmodern cultural school overthrows the definitions and viewpoints expressed in traditional social constructivism and power theory by other cultural schools,explaining objectively the measuring standards of women's social status and refuting male chauvinism,thus promoting newattention to be paid to women's equality in social status.展开更多
With a Critical Discourse Analysis approach, this essay reveals four types of discourses: discourse of examination, instruction, technology and regulation. Based on the analysis of power relation among those discourse...With a Critical Discourse Analysis approach, this essay reveals four types of discourses: discourse of examination, instruction, technology and regulation. Based on the analysis of power relation among those discourses, a vivid picture of teachers' identity at training-school has been clearly sketched. That is, teacher at training-school is a puppet acting as not only the transmitter of specific knowledge, but also the supervisor of rules and spokesman of institution.展开更多
Education has always been a deeply emotional topic for Chinese parents. A recent proposal calling for postponing boys＇ school starting age by one year has led to even more heated discussions on the topic.
文摘This study introduces the representation of natural number sets as row vectors and pretends to offer a new perspective on the strong Goldbach conjecture. The natural numbers are restructured and expanded with the inclusion of the zero element as the source of a strong Goldbach conjecture reformulation. A prime Boolean vector is defined, pinpointing the positions of prime numbers within the odd number sequence. The natural unit primality is discussed in this context and transformed into a source of quantum-like indetermination. This approach allows for rephrasing the strong Goldbach conjecture, framed within a Boolean scalar product between the prime Boolean vector and its reverse. Throughout the discussion, other intriguing topics emerge and are thoroughly analyzed. A final description of two empirical algorithms is provided to prove the strong Goldbach conjecture.
文摘English reading,a key procedure of English learning and teaching in middle school,is an essential way of getting information from the globe and communicating with others.Therefore,efficient comprehension on reading materials will directly serve for accepting the information.And it is extremely important for middle school students to acquire certain reading ability.At present,great attention has been paid to the course of reading in the instruction of English by the Chinese Education Department.But middle school students'read ing ability is still much lower than the target they should reach because of a set of existing obstacles that prevent them from being effective English readers.What are these obstacles? How to break them down? This paper will first point out and then analyze the obstacles that af fect middle school students'reading ability from two aspects:linguistic obstacles(obstacles of lexicon,grammar and background knowl edge) and non-linguistic obstacles(obstacles of psychology,interest,skill,and habit).After demonstrating different obstacles,the paper also come up with some corresponding strategies in the hope of helping middle school students to be effective English readers.
文摘Links Following recent fatal accident,school bus checks kick off nationwide in China According to Xinhua news, twenty-one people, including 19 preschoolers and two adults, died and 43 others were injured when a nine-seat school bus illegally carrying 64 people collided head-on with a
文摘The school bus system in the United States took its form in 1939 when Frank W. Cyr, from the New York-based Teachers College of Columbia University, organized a national standards conference for school transportation. Representatives of education and transportation depart- ments from all 48 states, together with school bus manufacturers, attended the 7-day meeting. They worked out 45 standards and rules concerning school bus safety, specifying in detail school bus length, roof height, aisle width, etc.
文摘Goldbach’s Conjecture (“Every even positive integer strictly larger than 4 is the sum of two primes”) has remained unproven since 1742. This paper contains the proof that every positive composite integer n strictly larger than 3, is located at the middle of the distance between two primes, which implicitly proves Goldbach’s Conjecture for 2n as well.
文摘There is an extensive attention in developed countries to take full advantages of urban green spaces including green school grounds.Those spaces are assessed and established as environmental learning resources,where top-down or bottom-up initiatives encourage or initiate projects with the support of school staffs and students.Green school grounds are also used for gardening(food growing)that besides environmental education,those spaces provide health benefits and knowledge,also skills and behavioral benefits.Those approaches in some developing countries are still vague or inapplicable for several reasons.This paper addresses the use and value of school grounds in developing countries as it lacks the opportunities to make the most of green school grounds.This research elaborated five schools,in the city of Podujevo,Kosovo.The findings reveal that the potentials of green school grounds in most of the cases studied have not been utilized.Opportunities offered by the municipality and environmental NGOs(Non-governmental Organizations)are insufficient.The findings suggest the need to rethink the design and use of green school grounds in developing countries.
文摘The oldest Goldbach’s Conjecture (“Every even positive integer strictly larger than 4 is the sum of two primes”) has remained unproven since 1742. The recent proof [1] connected Goldbach’s Conjecture with the fact that every positive composite integer n strictly larger than 3, is located at the middle of the distance between two primes. The present paper contains explicit additional and complementary details of the proof, insisting on the existence and the number of Goldbach’s representations of even positive integers as sums of pairs of primes.
文摘Background: The prevention of cardiovascular disease (CVD) can substantially contribute to reducing the mortality rate across countries. The level of interest in cholesterol among experts increases when the subjects are elderly and obese individuals. However, specialists do not recommend that children should receive the cholesterol test. The objective of this study was to investigate the distribution of cholesterol levels among the children of public school and their parents’ lifestyles that are associated with cholesterol levels, and to assess the need for and utility of cholesterol testing in school settings. Methods: The study investigated a group of 226 fourth-grade public school children aged between 9 and 10 years and guardians in Akitakatacity of Hiroshima Prefecture, Japan. Multiple regression analyses were performed with the logarithmic value of cholesterol levels as a response variable, awareness about lifestyles and health of children as an explanatory variable, and child’s sex and body mass index (BMI) as moderating variables. Using questionnaires about lifestyles, the step-down procedure was applied in multiple regression analyses to narrow down relevant lifestyle variables. Results: The percentage of children with the high total cholesterol (TC) value was about 15 and with low-density lipoprotein (LDL) cholesterol value was about 10. Children with low high-density lipoprotein (HDL) cholesterol value were 5%. Treatment was not required according to the comprehensive assessment. Cholesterol levels were associated with the situation of the children and their guardians as follows, guardian need to consider the food, and child has the correct knowledge about food like how to eat snacks. Conclusions: Children had poor cholesterol levels. From childhood, along with the parents, there is a need to learn about appropriate level of cholesterol for CVD prevention.
文摘Dengue has been a critical problem for an Islamic School, Nakhon Si Thammarat province, Southern Thailand. Objectives: 1) to build student capacity;and 2) to evaluate the results of student capacity building. Method: Participatory Action Research: PAR was applied in three phases: 1) the school-based preparation phase;2) the process of building student capacity phase, and 3) evaluation of the results of the student capacity building. Independent T-Test statistical method was used to analyze student capacity both before and after the intervention. Larval Indices were determined through ratio analysis. Results: Prior to the intervention, there was no clear strategy for combating dengue. In this study, three groups were formed to build student capacity: a leader group, a non-leader group, and a support group. The leader group (48 student leaders), critical to the study, was set as a dengue club named “Eliminate Ades Aegypti, the culprit of dengue” which focused on eight sets of activities: “Dengue or Death”, “Seniors educating juniors”, “Reward for good answers”, “Dengue monitoring team”, “Youth to expel mosquetoes”, “Mosquito or busy”, “Garbage elimination of Pondok”, and “Essential doctors”. The level of student capacity for the prevention and control of dengue of a sampling of 308 student representatives of the Pondok (Islamic school) showed an increase after intervention ( (SD);56.78 (17.06);65.33(15.36) and different statistic significant (P < 0.001). The Larval indices ratio levels had decreased from the original levels (BI = 244, HI = 45, and CI = 26) after intervention (BI = 137, HI = 39, and CI = 19). Dengue morbidity and mortality rates were not found during the study. Discussion: Although there had been an increase in student capacity, a decrease in the larval indices ratio, and the absence of a dengue epidemiology index, the high risk of a dengue epidemic might still be found in the school because the ratio of larval indices were higher than the standard index. Then, the committed participation of students, school, and communities around the school vicinity is needed in building student capacity of dengue prevention and control.
文摘The metaphysical poetry,as a rather influential literary school,plays a momentous andpredominant part in eariy seventeenth century English literature.The marked quality ofmetaphysical poetry,as practiced by Donne and his successors,is their philosophical subtlety orintellectual rigor,while the quintessence of which consists in its peculiar blend of thought andpassion of realistic violence and meditative refinements.Doctor Johnson accused the
文摘In this paper, we consider the Goldbach＇s problem for matrix rings, namely, we decompose an n × n （n 〉 1） matrix over a principal ideal domain R into a sum of two matrices in Mn,（R） with given determinants. We prove the following result： Let n 〉 1 be a natural number and A = （aij） be a matrix in Mn（R）. Define d（A） ：= g.c.d{aij}. Suppose that p and q are two elements in R. Then （1） If n 〉 1 is even, then A can be written as a sum of two matrices X, Y in Mn（R） with det（X） = p and det（Y） = q if and only if d（A） [ p - q; （2） If n 〉 1 is odd, then A can be written as a sum of two matrices X, Y in Mn（R） with det（X） = p and det（Y） = q if and only if d（A） ｜ p ＋ q. We apply the result to the matrices in Mn（Z） and Mn（Q[x]） and prove that if R = 7. or Q[x], then any nonzero matrix A in Mn（R） can be written as a sum of two matrices in Mn（R） with prime determinants.
文摘The famous strongly binary Goldbach’s conjecture asserts that every even number 2n ≥ 8 can always be expressible as a sum of two distinct odd prime numbers. We use a new approach to dealing with this conjecture. Specifically, we apply the element order prime graphs of alternating groups of degrees 2n and 2n −1 to characterize this conjecture, and present its six group-theoretic versions;and further prove that this conjecture is true for p +1 and p −1 whenever p ≥ 11 is a prime number.
文摘From September this year, trial editions of Sex Health Guidance for Senior Middle School Students, and Sex Health Guidance for Junior Middle School Students, will be used in several schools in Haidian District, Beijing. Haidian Education Commission has sent out notices to all middle schools in the district, including secondary specialized schools,
文摘Postmodern cultural school makes a deep exploration of women's social roles and values from the perspective of human beings' social naturalness,culture and social function,conducts deep introspection on women's social status from both macro and micro levels and carries out a brand newinterpretation of the impetus effect of critical thinking on women's social development. Postmodern cultural school overthrows the definitions and viewpoints expressed in traditional social constructivism and power theory by other cultural schools,explaining objectively the measuring standards of women's social status and refuting male chauvinism,thus promoting newattention to be paid to women's equality in social status.
文摘With a Critical Discourse Analysis approach, this essay reveals four types of discourses: discourse of examination, instruction, technology and regulation. Based on the analysis of power relation among those discourses, a vivid picture of teachers' identity at training-school has been clearly sketched. That is, teacher at training-school is a puppet acting as not only the transmitter of specific knowledge, but also the supervisor of rules and spokesman of institution.
文摘Education has always been a deeply emotional topic for Chinese parents. A recent proposal calling for postponing boys＇ school starting age by one year has led to even more heated discussions on the topic.
