Let G be a simple graph with no isolated vertices. A set S of vertices of G is a total dominating set if every vertex of G is adjacent to some vertex in S . The total domination number of G , den...Let G be a simple graph with no isolated vertices. A set S of vertices of G is a total dominating set if every vertex of G is adjacent to some vertex in S . The total domination number of G , denoted by γ t (G) , is the minimum cardinality of a total dominating set of G . It is shown that if G is a graph of order n with minimum degree at least 3, then γ t (G)≤n/2 . Thus a conjecture of Favaron, Henning, Mynhart and Puech is settled in the affirmative.展开更多
The combined effects of vertical overturning circulation(VOC) zonal length scale and moist static energy(MSE)tendency zonal asymmetry on MJO phase speed were investigated based on diagnosis of ERA-Interim data over a ...The combined effects of vertical overturning circulation(VOC) zonal length scale and moist static energy(MSE)tendency zonal asymmetry on MJO phase speed were investigated based on diagnosis of ERA-Interim data over a 40-year period(1979-2019).In a key region(80°-100°E),128 MJO events were selected.It was found that the larger the VOC zonal length scale,the faster the MJO eastward propagation.The correlation coefficient between them was 0.52,exceeding the 99% confidence level.A significant positive correlation(0.59) was also identified between the phase speed and MSE tendency zonal asymmetry.A linear regression model based on the aforementioned two parameters was constructed,and the phase speed could be estimated based on the model.The correlation coefficient between the reconstructed phase speed and its observed counterpart was 0.73,exceeding the 99% confidence level with an F-test.A composite analysis of the fast and slow groups indicated that the VOC zonal length scale was modulated by the background state.An El Nino(La Ni?a)-like SST pattern and associated precipitation anomalies promoted a larger(smaller) VOC zonal length scale and thus a faster(slower)propagation speed.A sensitivity test with a reference point in a different longitudinal zone(120°-140°E) was conducted.Again,there were significant relationships between the MJO phase speed and the two parameters.The correlation between the reconstructed and observed phase speed was 0.67,exceeding the 99% confidence level.展开更多
This paper examines the relationship between small- and medium-sized enterprises' (SMEs) entrepreneurs' perceptions towards a proper accounting system with the level of accounting staff recruited, preparation of f...This paper examines the relationship between small- and medium-sized enterprises' (SMEs) entrepreneurs' perceptions towards a proper accounting system with the level of accounting staff recruited, preparation of final accounts, meetings with accounting staff, and entrepreneurs' ranking of accounting according to their priority. The methodology used to gather the data is survey questionnaire. It has been distributed to SMEs based on simple random sampling method. Three hundred businesses were selected from the total of 3,390 businesses listed in Kuala Lumpur, Malaysia area obtained from Small and Medium Industries Development Corporation (SMIDEC) website and a few random selected from Ampang and Cheras areas. Regression analysis has been used to analyze the data. The results of the study reveal that there was a significant relation between SMEs entrepreneurs' perceptions on the importance of a good accounting system and the level of professional accounting staff recruited. Furthermore, findings of this study also found that there was an insignificant relationship between SMEs entrepreneurs' perceptions on the importance of a good accounting system and preparation of final accounts of the company and frequency of meetings with accounting staff.展开更多
A nonincreasing sequence ( of n nonnegative integers is said to be graphic if it is the degree sequence of a simple graph G of order n. The set of all graphic sequences of n terms with even sum 2m and trace f is a pos...A nonincreasing sequence ( of n nonnegative integers is said to be graphic if it is the degree sequence of a simple graph G of order n. The set of all graphic sequences of n terms with even sum 2m and trace f is a poset G_(n,m,f) under majorization relation. The paper characterizes the minimal elements in the poset G_(n,m,f) and determines the number of minimal elements in various posets of graphic sequences.展开更多
For a Riemann surface X of conformally finite type (g, n), let dT, dL and dpi (i = 1, 2) be the Teichmuller metric, the length spectrum metric and Thurston's pseudometrics on the Teichmutler space T(X), respect...For a Riemann surface X of conformally finite type (g, n), let dT, dL and dpi (i = 1, 2) be the Teichmuller metric, the length spectrum metric and Thurston's pseudometrics on the Teichmutler space T(X), respectively. The authors get a description of the Teichmiiller distance in terms of the Jenkins-Strebel differential lengths of simple closed curves. Using this result, by relatively short arguments, some comparisons between dT and dL, dpi (i = 1, 2) on Tε(X) and T(X) are obtained, respectively. These comparisons improve a corresponding result of Li a little. As applications, the authors first get an alternative proof of the topological equivalence of dT to any one of dL, dp1 and dp2 on T(X). Second, a new proof of the completeness of the length spectrum metric from the viewpoint of Finsler geometry is given. Third, a simple proof of the following result of Liu-Papadopoulos is given: a sequence goes to infinity in T(X) with respect to dT if and only if it goes to infinity with respect to dL (as well as dpi (i = 1, 2)).展开更多
In this note we present the Adomian decomposition method for solving a simple model for the diffusion and absorption of oxygen in tissue. The method is examined for computational efficiency and accuracy.
文摘Let G be a simple graph with no isolated vertices. A set S of vertices of G is a total dominating set if every vertex of G is adjacent to some vertex in S . The total domination number of G , denoted by γ t (G) , is the minimum cardinality of a total dominating set of G . It is shown that if G is a graph of order n with minimum degree at least 3, then γ t (G)≤n/2 . Thus a conjecture of Favaron, Henning, Mynhart and Puech is settled in the affirmative.
基金jointly supported by the National Nature Science Foundation of China [grant number 42088101]NOAA [grant number NA18OAR4310298]+2 种基金the National Science Foundation (United States)[grant number AGS-2006553]the Educational Commission of Anhui Province of China [grant numbers KJ2021A1079 and KJ2021A1078]the Science and technology project of Chuzhou City of China [grant number 2021ZD007]。
文摘The combined effects of vertical overturning circulation(VOC) zonal length scale and moist static energy(MSE)tendency zonal asymmetry on MJO phase speed were investigated based on diagnosis of ERA-Interim data over a 40-year period(1979-2019).In a key region(80°-100°E),128 MJO events were selected.It was found that the larger the VOC zonal length scale,the faster the MJO eastward propagation.The correlation coefficient between them was 0.52,exceeding the 99% confidence level.A significant positive correlation(0.59) was also identified between the phase speed and MSE tendency zonal asymmetry.A linear regression model based on the aforementioned two parameters was constructed,and the phase speed could be estimated based on the model.The correlation coefficient between the reconstructed phase speed and its observed counterpart was 0.73,exceeding the 99% confidence level with an F-test.A composite analysis of the fast and slow groups indicated that the VOC zonal length scale was modulated by the background state.An El Nino(La Ni?a)-like SST pattern and associated precipitation anomalies promoted a larger(smaller) VOC zonal length scale and thus a faster(slower)propagation speed.A sensitivity test with a reference point in a different longitudinal zone(120°-140°E) was conducted.Again,there were significant relationships between the MJO phase speed and the two parameters.The correlation between the reconstructed and observed phase speed was 0.67,exceeding the 99% confidence level.
文摘This paper examines the relationship between small- and medium-sized enterprises' (SMEs) entrepreneurs' perceptions towards a proper accounting system with the level of accounting staff recruited, preparation of final accounts, meetings with accounting staff, and entrepreneurs' ranking of accounting according to their priority. The methodology used to gather the data is survey questionnaire. It has been distributed to SMEs based on simple random sampling method. Three hundred businesses were selected from the total of 3,390 businesses listed in Kuala Lumpur, Malaysia area obtained from Small and Medium Industries Development Corporation (SMIDEC) website and a few random selected from Ampang and Cheras areas. Regression analysis has been used to analyze the data. The results of the study reveal that there was a significant relation between SMEs entrepreneurs' perceptions on the importance of a good accounting system and the level of professional accounting staff recruited. Furthermore, findings of this study also found that there was an insignificant relationship between SMEs entrepreneurs' perceptions on the importance of a good accounting system and preparation of final accounts of the company and frequency of meetings with accounting staff.
文摘A nonincreasing sequence ( of n nonnegative integers is said to be graphic if it is the degree sequence of a simple graph G of order n. The set of all graphic sequences of n terms with even sum 2m and trace f is a poset G_(n,m,f) under majorization relation. The paper characterizes the minimal elements in the poset G_(n,m,f) and determines the number of minimal elements in various posets of graphic sequences.
基金supported by the National Natural Science Foundation of China (No. 10871211)
文摘For a Riemann surface X of conformally finite type (g, n), let dT, dL and dpi (i = 1, 2) be the Teichmuller metric, the length spectrum metric and Thurston's pseudometrics on the Teichmutler space T(X), respectively. The authors get a description of the Teichmiiller distance in terms of the Jenkins-Strebel differential lengths of simple closed curves. Using this result, by relatively short arguments, some comparisons between dT and dL, dpi (i = 1, 2) on Tε(X) and T(X) are obtained, respectively. These comparisons improve a corresponding result of Li a little. As applications, the authors first get an alternative proof of the topological equivalence of dT to any one of dL, dp1 and dp2 on T(X). Second, a new proof of the completeness of the length spectrum metric from the viewpoint of Finsler geometry is given. Third, a simple proof of the following result of Liu-Papadopoulos is given: a sequence goes to infinity in T(X) with respect to dT if and only if it goes to infinity with respect to dL (as well as dpi (i = 1, 2)).
文摘In this note we present the Adomian decomposition method for solving a simple model for the diffusion and absorption of oxygen in tissue. The method is examined for computational efficiency and accuracy.