Let G be a graph with vertex set V(G) and edge set E(G) and let g and f betwo integer-valued functions defined on V(G) such that 2k - 2 ≤ g(x) ≤ f(x) for all x ∈ V(G).Let H be a subgraph of G with mk edges. In this...Let G be a graph with vertex set V(G) and edge set E(G) and let g and f betwo integer-valued functions defined on V(G) such that 2k - 2 ≤ g(x) ≤ f(x) for all x ∈ V(G).Let H be a subgraph of G with mk edges. In this paper, it is proved that every (mg + m - 1, mf - m +l)-graph G has (g, f)-factorizations randomly k-orthogonal to H under some special conditions.展开更多
Let G be a graph with vertex set V(G) and edge set E(G) and let g and f be two integer-valued functions defined on V(G) such that 2k-1≤g(x) ≤ f(x) for all x ∈ V(G). Let H be a subgraph of G with mk edges . In this ...Let G be a graph with vertex set V(G) and edge set E(G) and let g and f be two integer-valued functions defined on V(G) such that 2k-1≤g(x) ≤ f(x) for all x ∈ V(G). Let H be a subgraph of G with mk edges . In this paper it is proved that every (mg + m - 1,mf- m + 1)-graph G has (g, f)-factorizations randomly κ-orthogonal to H and shown that the result is best possible.展开更多
Ring footings are suitable for the structures like tall transmission towers, chimneys, silos and oil storages.These types of structures are susceptible to horizontal loads(wind load) in addition to their dead weight.I...Ring footings are suitable for the structures like tall transmission towers, chimneys, silos and oil storages.These types of structures are susceptible to horizontal loads(wind load) in addition to their dead weight.In the literature, very little or no effort has been made to study the effect of ring footing resting on reinforced sand when subjected to eccentric, inclined and/or eccentric-inclined loadings. This paper aims to study the behavior of ring footing resting on loose sand and/or compacted randomly distributed fiberreinforced sand(RDFS) when subjected to eccentric(0 B, 0.05 B and 0.1 B, where B is the outer diameter of ring footing), inclined(0°,5°,10°, 15°,-5°,-10° and-15°)and eccentric-inclined loadings by using a finite element(FE) software PLAXIS 3 D. The behavior of ring footing is studied by using a dimensionless factor called reduction factor(RF). The numerical model used in the PLAXIS 3 D has been validated by conducting model plate load tests. Moreover, an empirical expression using regression analysis has been presented which will be helpful in plotting a load-settlement curve for the ring footing.展开更多
This paper obtains the uniform estimate for maximum of sums of independent and heavy-tailed random variables with nonnegative random weights, which can be arbitrarily dependent of each other. Then the applications to ...This paper obtains the uniform estimate for maximum of sums of independent and heavy-tailed random variables with nonnegative random weights, which can be arbitrarily dependent of each other. Then the applications to ruin probabilities in a discrete time risk model with dependent stochastic returns are considered.展开更多
基金The work is partially supported by NNSF of China(10471078)RSDP of China
文摘Let G be a graph with vertex set V(G) and edge set E(G) and let g and f betwo integer-valued functions defined on V(G) such that 2k - 2 ≤ g(x) ≤ f(x) for all x ∈ V(G).Let H be a subgraph of G with mk edges. In this paper, it is proved that every (mg + m - 1, mf - m +l)-graph G has (g, f)-factorizations randomly k-orthogonal to H under some special conditions.
基金the National Natural Science Foundation of China (No.60172003,19831080) by NSF of Shandong Province.
文摘Let G be a graph with vertex set V(G) and edge set E(G) and let g and f be two integer-valued functions defined on V(G) such that 2k-1≤g(x) ≤ f(x) for all x ∈ V(G). Let H be a subgraph of G with mk edges . In this paper it is proved that every (mg + m - 1,mf- m + 1)-graph G has (g, f)-factorizations randomly κ-orthogonal to H and shown that the result is best possible.
文摘Ring footings are suitable for the structures like tall transmission towers, chimneys, silos and oil storages.These types of structures are susceptible to horizontal loads(wind load) in addition to their dead weight.In the literature, very little or no effort has been made to study the effect of ring footing resting on reinforced sand when subjected to eccentric, inclined and/or eccentric-inclined loadings. This paper aims to study the behavior of ring footing resting on loose sand and/or compacted randomly distributed fiberreinforced sand(RDFS) when subjected to eccentric(0 B, 0.05 B and 0.1 B, where B is the outer diameter of ring footing), inclined(0°,5°,10°, 15°,-5°,-10° and-15°)and eccentric-inclined loadings by using a finite element(FE) software PLAXIS 3 D. The behavior of ring footing is studied by using a dimensionless factor called reduction factor(RF). The numerical model used in the PLAXIS 3 D has been validated by conducting model plate load tests. Moreover, an empirical expression using regression analysis has been presented which will be helpful in plotting a load-settlement curve for the ring footing.
基金The National Natural Science Foundation of China(No.11502037)the Chongqing Research Program of Basic Research and Frontier Technology(No.cstc2018jcyjA3066)the Fundamental Research Funds for the Central Universities(No.2018CDGFHK0019)
基金This work was supported by the National Natural Science Foundation of China(Grant Nos.70272001&10371117)The first author's work was also supported by China Postdoctoral Science Foundation(Grant No.2005037809) Foundation from the Youth Science and Technology of Uestc(Grant No.JX 03038).
文摘This paper obtains the uniform estimate for maximum of sums of independent and heavy-tailed random variables with nonnegative random weights, which can be arbitrarily dependent of each other. Then the applications to ruin probabilities in a discrete time risk model with dependent stochastic returns are considered.
