Higher order thinking skills (HOTS) is a way of thinking that moves beyond memorization of facts to higher level thinking such as synthesis, analysis and evaluation. Mastering HOTS is important for students to excel in their education and real-life. Many factors are believed to promote HOTS among students. One such endeavour is integrating Information and Communication Tools (ICT) in teaching and learning activities. ICT is believed to enhance students' performance and higher-level thinking. It is understood that culture plays an important role in determining an individual's decision to adopt ICT to promote HOTS. The influence of cultural factor is more crucial to students from multinational countries such as Malaysia. Thus, this study aimed to investigate the influence of students' perceived culture (collectivism and uncertainty avoidance) and attitudes towards technology use on the promotion of HOTS in ICT integrated mathematics classes in higher education contexts. A total of 250 mathematics students from 3 local public universities in Malaysia participated in this study. Structural equation modelling revealed that students HOTS is significantly influence by attitudes towards technology use. Uncertainty avoidance strongly influence attitude towards technology use. However, collectivism is not a strong predictor of attitude towards technology use. The practical implications of the study are discussed.
{"title":"Determining the Influence of Cultural Values on Promotion of Higher Order Thinking Skills in Technology Enhanced Learning Environment","authors":"M. Letchumanan, S. Husain, A. F. Ayub","doi":"10.47836/mjms.17.2.01","DOIUrl":"https://doi.org/10.47836/mjms.17.2.01","url":null,"abstract":"Higher order thinking skills (HOTS) is a way of thinking that moves beyond memorization of facts to higher level thinking such as synthesis, analysis and evaluation. Mastering HOTS is important for students to excel in their education and real-life. Many factors are believed to promote HOTS among students. One such endeavour is integrating Information and Communication Tools (ICT) in teaching and learning activities. ICT is believed to enhance students' performance and higher-level thinking. It is understood that culture plays an important role in determining an individual's decision to adopt ICT to promote HOTS. The influence of cultural factor is more crucial to students from multinational countries such as Malaysia. Thus, this study aimed to investigate the influence of students' perceived culture (collectivism and uncertainty avoidance) and attitudes towards technology use on the promotion of HOTS in ICT integrated mathematics classes in higher education contexts. A total of 250 mathematics students from 3 local public universities in Malaysia participated in this study. Structural equation modelling revealed that students HOTS is significantly influence by attitudes towards technology use. Uncertainty avoidance strongly influence attitude towards technology use. However, collectivism is not a strong predictor of attitude towards technology use. The practical implications of the study are discussed.","PeriodicalId":43645,"journal":{"name":"Malaysian Journal of Mathematical Sciences","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42865264","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
N. A. F. O. Zai, N. Sarmin, S. Khasraw, I. Gambo, N. Zaid
The study of rings and graphs has been explored extensively by researchers. To gain a more effective understanding on the concepts of the rings and graphs, more researches on graphs of different types of rings are required. This manuscript provides a different study on the concepts of commutative rings and undirected graphs. The non-zero divisor graph, Γ(R) of a ring R is a simple undirected graph in which its set of vertices consists of all non-zero elements of R and two different vertices are joint by an edge if their product is not equal to zero. In this paper, the commutative rings are the ring of integers modulo n where n=8k and k≤3. The zero divisors are found first using the definition and then the non-zero divisor graphs are constructed. The manuscript explores some properties of non-zero divisor graph such as the chromatic number and the clique number. The result has shown that Γ(Z8k) is perfect.
{"title":"On the Non-Zero Divisor Graphs of Some Finite Commutative Rings","authors":"N. A. F. O. Zai, N. Sarmin, S. Khasraw, I. Gambo, N. Zaid","doi":"10.47836/mjms.17.2.02","DOIUrl":"https://doi.org/10.47836/mjms.17.2.02","url":null,"abstract":"The study of rings and graphs has been explored extensively by researchers. To gain a more effective understanding on the concepts of the rings and graphs, more researches on graphs of different types of rings are required. This manuscript provides a different study on the concepts of commutative rings and undirected graphs. The non-zero divisor graph, Γ(R) of a ring R is a simple undirected graph in which its set of vertices consists of all non-zero elements of R and two different vertices are joint by an edge if their product is not equal to zero. In this paper, the commutative rings are the ring of integers modulo n where n=8k and k≤3. The zero divisors are found first using the definition and then the non-zero divisor graphs are constructed. The manuscript explores some properties of non-zero divisor graph such as the chromatic number and the clique number. The result has shown that Γ(Z8k) is perfect.","PeriodicalId":43645,"journal":{"name":"Malaysian Journal of Mathematical Sciences","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46601836","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Let G be a finite group and let T be a non-empty subset of G. For any positive integer k, let Tk={t1…tk∣t1,…,tk∈T}. The set T is called exhaustive if Tn=G for some positive integer n where the smallest positive integer n, if it exists, such that Tn=G is called the exhaustion number of T and is denoted by e(T). If Tk≠G for any positive integer k, then T is a non-exhaustive subset and we write e(T)=∞. In this paper, we investigate the exhaustion numbers of subsets of the generalized quaternion group Q2n=⟨x, y∣x2n−1=1, x2n−2=y2, yx=x2n−1−1y⟩ where n≥3. We show that Q2n has no exhaustive subsets of size 2 and that the smallest positive integer k such that any subset T⊆Q2n of size greater than or equal to k is exhaustive is 2n−1+1. We also show that for any integer k∈{3,…,2n}, there exists an exhaustive subset T of Q2n such that |T|=k .
{"title":"The Exhaustion Numbers of the Generalized Quaternion Groups","authors":"H. V. Chen, C. S. Sin","doi":"10.47836/mjms.17.2.07","DOIUrl":"https://doi.org/10.47836/mjms.17.2.07","url":null,"abstract":"Let G be a finite group and let T be a non-empty subset of G. For any positive integer k, let Tk={t1…tk∣t1,…,tk∈T}. The set T is called exhaustive if Tn=G for some positive integer n where the smallest positive integer n, if it exists, such that Tn=G is called the exhaustion number of T and is denoted by e(T). If Tk≠G for any positive integer k, then T\u0000 is a non-exhaustive subset and we write e(T)=∞. In this paper, we investigate the exhaustion numbers of subsets of the generalized quaternion group Q2n=⟨x, y∣x2n−1=1, x2n−2=y2, yx=x2n−1−1y⟩ where n≥3. We show that Q2n has no exhaustive subsets of size 2 and that the smallest positive integer k such that any subset T⊆Q2n of size greater than or equal to k is exhaustive is 2n−1+1. We also show that for any integer k∈{3,…,2n}, there exists an exhaustive subset T of Q2n such that |T|=k\u0000.","PeriodicalId":43645,"journal":{"name":"Malaysian Journal of Mathematical Sciences","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44274817","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This paper proposes a model that addresses the interaction and dynamics of malaria and rotavirus co-infection. The model incorporates various epidemiological and biological features of both the malaria and rotavirus. The mode of transmission of both the diseases is different as malaria is vector borne disease causing infection through infected arthropod and rotavirus is a contagious virus causing diarrhoea by the inflammation of intestines and stomach. It is being assumed in the model that humans are susceptible to malaria and rotavirus simultaneously. It is further assumed that the recovered population, whether naturally or through treatment is prone to the infection again. The co-infection dynamics of diseases is studied with different control measures in the form of treatments to both human and vector compartments. In order to visualize the effect of diverse control strategies, we studied three models, that is, one, in the absence of malaria disease, second, in the absence of rotavirus disease and third, for co-infection of both the diseases. To understand the dynamics of co-infection, the stability analysis of the full model for disease-free equilibrium and the threshold value, which is, the basic reproduction number is calculated. Bifurcation analysis is performed for full co-infection model along with that of malaria-only model. Both rotavirus-only model and malaria-only models are found to be globally asymptotically stable at disease-free equilibrium. Sensitivity indices have been calculated to study the effect of model parameters on the basic reproduction number. Results are illustrated with numerical simulation.
{"title":"Study of Disease Dynamics of Co-infection of Rotavirus and Malaria with Control Strategies","authors":"I. Ratti, P. Kalra","doi":"10.47836/mjms.17.2.05","DOIUrl":"https://doi.org/10.47836/mjms.17.2.05","url":null,"abstract":"This paper proposes a model that addresses the interaction and dynamics of malaria and rotavirus co-infection. The model incorporates various epidemiological and biological features of both the malaria and rotavirus. The mode of transmission of both the diseases is different as malaria is vector borne disease causing infection through infected arthropod and rotavirus is a contagious virus causing diarrhoea by the inflammation of intestines and stomach. It is being assumed in the model that humans are susceptible to malaria and rotavirus simultaneously. It is further assumed that the recovered population, whether naturally or through treatment is prone to the infection again. The co-infection dynamics of diseases is studied with different control measures in the form of treatments to both human and vector compartments. In order to visualize the effect of diverse control strategies, we studied three models, that is, one, in the absence of malaria disease, second, in the absence of rotavirus disease and third, for co-infection of both the diseases. To understand the dynamics of co-infection, the stability analysis of the full model for disease-free equilibrium and the threshold value, which is, the basic reproduction number is calculated. Bifurcation analysis is performed for full co-infection model along with that of malaria-only model. Both rotavirus-only model and malaria-only models are found to be globally asymptotically stable at disease-free equilibrium. Sensitivity indices have been calculated to study the effect of model parameters on the basic reproduction number. Results are illustrated with numerical simulation.","PeriodicalId":43645,"journal":{"name":"Malaysian Journal of Mathematical Sciences","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49501190","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Hyperbolic matrix functions are essential for solving hyperbolic coupled partial differential equations. In fact the best analytic-numerical approximations for resolving these equations come from the use of hyperbolic matrix functions. The hyperbolic matrix sine and cosine sh(A), ch(A) (A∈Mr(C)) can be calculated using numerous different techniques. In this article we derive some explicit formulas of sh(tA) and ch(tA) (t∈R) using the Fibonacci-H"{o}rner and the polynomial decomposition, these decompositions are calculated using the generalized Fibonacci sequences combinatorial properties in the algebra of square matrices. Finally we introduce a third approach based on the homogeneous linear differential equations. And we provide some examples to illustrate your methods.
{"title":"On Explicit Formulas of Hyperbolic Matrix Functions","authors":"Y. Laarichi, Y. Elkettani, D. Gretete, M. Barmaki","doi":"10.47836/mjms.17.2.08","DOIUrl":"https://doi.org/10.47836/mjms.17.2.08","url":null,"abstract":"Hyperbolic matrix functions are essential for solving hyperbolic coupled partial differential equations. In fact the best analytic-numerical approximations for resolving these equations come from the use of hyperbolic matrix functions. The hyperbolic matrix sine and cosine sh(A), ch(A) (A∈Mr(C)) can be calculated using numerous different techniques. In this article we derive some explicit formulas of sh(tA) and ch(tA) (t∈R) using the Fibonacci-H\"{o}rner and the polynomial decomposition, these decompositions are calculated using the generalized Fibonacci sequences combinatorial properties in the algebra of square matrices. Finally we introduce a third approach based on the homogeneous linear differential equations. And we provide some examples to illustrate your methods.","PeriodicalId":43645,"journal":{"name":"Malaysian Journal of Mathematical Sciences","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41864046","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In the current wave of educational reforms, understanding teaching styles of mathematics can help modify strategies for effective teaching. This survey research which using quantitative approach was aimed to identify teaching styles pattern by primary school mathematics Year 5 teachers. The research population consists of 506 Year 5 mathematics teachers from Malacca primary school. A total of 217 mathematics teachers were randomly selected as respondents. Data were collected through a translated version of Grasha Teaching Style Inventory. Descriptive statistics were analyzing the finding. Statistical inference is used to analyze the difference in teaching style based on the teachers' background, which is gender and teaching experience. In direction of the data with means, frequencies, t-test and one way ANOVA; the formal authority is the dominant, which is for male year 5 mathematics teachers, while female mathematics teachers prefer to personal model teaching style. Meanwhile, formal authority was the highest means for teaching experience over 21 years. The was a statistically significant difference between the male and female teacher in delegator style. Likewise, there was a significant difference in teachers teaching style based on teaching experience in expert style and formal authority style. Teachers need to diversify teaching styles in teaching.
{"title":"Teaching Styles Pattern: A Survey of Mathematics Teacher's Preferences in Primary School","authors":"Mahmad","doi":"10.47836/mjms.17.2.04","DOIUrl":"https://doi.org/10.47836/mjms.17.2.04","url":null,"abstract":"In the current wave of educational reforms, understanding teaching styles of mathematics can help modify strategies for effective teaching. This survey research which using quantitative approach was aimed to identify teaching styles pattern by primary school mathematics Year 5 teachers. The research population consists of 506 Year 5 mathematics teachers from Malacca primary school. A total of 217 mathematics teachers were randomly selected as respondents. Data were collected through a translated version of Grasha Teaching Style Inventory. Descriptive statistics were analyzing the finding. Statistical inference is used to analyze the difference in teaching style based on the teachers' background, which is gender and teaching experience. In direction of the data with means, frequencies, t-test and one way ANOVA; the formal authority is the dominant, which is for male year 5 mathematics teachers, while female mathematics teachers prefer to personal model teaching style. Meanwhile, formal authority was the highest means for teaching experience over 21 years. The was a statistically significant difference between the male and female teacher in delegator style. Likewise, there was a significant difference in teachers teaching style based on teaching experience in expert style and formal authority style. Teachers need to diversify teaching styles in teaching.","PeriodicalId":43645,"journal":{"name":"Malaysian Journal of Mathematical Sciences","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70928647","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Peaceful cohabitation in a marriage institution is challenged with separation/divorce because of distinct individual psychological build-up. A deterministic model for the divorce epidemic was proposed using standard incidence as a forcing function. The stability theory of differential equations was used to perform the model analysis qualitatively on which the equilibria obtained are locally and globally stable. Bifurcation and sensitivity analysis of the model were performed; parameters responsible for managing and eradicating the spread of divorce in marriages were determined. A numerical simulation was performed with results that showed pre-marriage preparedness and conscientious growth in tolerance of individual differences as a stabilizer to marriages.
{"title":"Asymptotic Study of Divorce Model with Pre-Marriage Preparedness as Control","authors":"M. Ekahtor","doi":"10.47836/mjms.17.2.03","DOIUrl":"https://doi.org/10.47836/mjms.17.2.03","url":null,"abstract":"Peaceful cohabitation in a marriage institution is challenged with separation/divorce because of distinct individual psychological build-up. A deterministic model for the divorce epidemic was proposed using standard incidence as a forcing function. The stability theory of differential equations was used to perform the model analysis qualitatively on which the equilibria obtained are locally and globally stable. Bifurcation and sensitivity analysis of the model were performed; parameters responsible for managing and eradicating the spread of divorce in marriages were determined. A numerical simulation was performed with results that showed pre-marriage preparedness and conscientious growth in tolerance of individual differences as a stabilizer to marriages.","PeriodicalId":43645,"journal":{"name":"Malaysian Journal of Mathematical Sciences","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45603815","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper, we study the one-parameter Lie groups of point transformations that leave invariant the biharmonic partial differential equation (PDE) uxxxx+2uxxyy+uyyyy=f(u) . To this end, we construct the Lie and Noether symmetry generators and present reductions of biharmonic PDE. When f is arbitrary function of u, we obtain the solution of biharmonic equation in terms of Green function. The equation is further analysed when f is exponential function and for general power law. Furthermore, we use Noether's theorem and the 'multiplier approach' to construct conservation laws of the PDE.
{"title":"An Invariance and Closed Form Analysis of the Nonlinear Biharmonic Beam Equation","authors":"Y. Masood, A. Kara, F. Zaman","doi":"10.47836/mjms.17.2.09","DOIUrl":"https://doi.org/10.47836/mjms.17.2.09","url":null,"abstract":"In this paper, we study the one-parameter Lie groups of point transformations that leave invariant the biharmonic partial differential equation (PDE) uxxxx+2uxxyy+uyyyy=f(u)\u0000. To this end, we construct the Lie and Noether symmetry generators and present reductions of biharmonic PDE. When f is arbitrary function of u, we obtain the solution of biharmonic equation in terms of Green function. The equation is further analysed when f\u0000 is exponential function and for general power law. Furthermore, we use Noether's theorem and the 'multiplier approach' to construct conservation laws of the PDE.","PeriodicalId":43645,"journal":{"name":"Malaysian Journal of Mathematical Sciences","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48551240","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The group of rational points on an elliptic curve over Q is always a finitely generated Abelian group, hence isomorphic to Zr×G with G a finite Abelian group. Here, r is the rank of the elliptic curve. In this paper, we determine sufficient conditions that need to be set on the prime numbers p and q so that the elliptic curve E:y2=x3−3pqx over Q would possess a rank zero or one. Specifically, we verify that if distinct primes p and q satisfy the congruence p≡q≡5(mod24), then E has rank zero. Furthermore, if p≡5(mod12) is considered instead of a modulus of 24, then E has rank zero or one. Lastly, for primes of the form p=24k+17 and q=24ℓ+5, where 9k+3ℓ+7 is a perfect square, we show that E has rank one.
{"title":"Elliptic Curves of Type y2=x3−3pqx Having Ranks Zero and One","authors":"R. Mina, J. B. Bacani","doi":"10.47836/mjms.17.1.06","DOIUrl":"https://doi.org/10.47836/mjms.17.1.06","url":null,"abstract":"The group of rational points on an elliptic curve over Q is always a finitely generated Abelian group, hence isomorphic to Zr×G with G a finite Abelian group. Here, r is the rank of the elliptic curve. In this paper, we determine sufficient conditions that need to be set on the prime numbers p and q so that the elliptic curve E:y2=x3−3pqx over Q would possess a rank zero or one. Specifically, we verify that if distinct primes p and q satisfy the congruence p≡q≡5(mod24), then E has rank zero. Furthermore, if p≡5(mod12) is considered instead of a modulus of 24, then E has rank zero or one. Lastly, for primes of the form p=24k+17 and q=24ℓ+5, where 9k+3ℓ+7 is a perfect square, we show that E has rank one.","PeriodicalId":43645,"journal":{"name":"Malaysian Journal of Mathematical Sciences","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48779591","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The main aim of this work is to derive the q-recurrence relations, q-partial derivative relations and summation formula of bibasic Humbert hypergeometric function Φ1 on two independent bases q and q1 of two variables and some developments formulae, believed to be new, by using the conception of q-calculus.
{"title":"On Bibasic Humbert Hypergeometric Function Φ1","authors":"A. AL E’damat, A. Shehata","doi":"10.47836/mjms.17.1.07","DOIUrl":"https://doi.org/10.47836/mjms.17.1.07","url":null,"abstract":"The main aim of this work is to derive the q-recurrence relations, q-partial derivative relations and summation formula of bibasic Humbert hypergeometric function Φ1 on two independent bases q and q1 of two variables and some developments formulae, believed to be new, by using the conception of q-calculus.","PeriodicalId":43645,"journal":{"name":"Malaysian Journal of Mathematical Sciences","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47072457","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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