Hasil untuk "math.KT"

Zhi-Qun Gong, Yong-Zhi Wang, Wei-Ke Zhou et al.

The analysis of the impact of the construction of the subway protection zone on the adjacent subway tunnel has become the premise on which to ensure the safe operation of the tunnel. The need for expert members to carry out safety assessments based on specific calculations to determine the impact of construction on the safety of protected tunnels is extremely inconvenient for safety management and significantly reduces management efficiency. This paper analyzes and qualitatively judges the influence range and disturbance size of pile foundation construction, shallow foundation engineering, and foundation pit excavation. Based on relevant research results from scholars and numerical simulation methods, quantitative analysis and comparison are performed on the parameter sensitivity of pile foundation engineering, shallow foundation engineering, and foundation pit engineering along the subway line, and the influence of multi-factor combination is studied and discussed to obtain the influence sensitivity of each factor. The results show that the increase in pile spacing can effectively reduce the pile group effect. The sensitivity of subway tunnel settlement displacement is mainly controlled by the settlement displacement value. The larger the settlement displacement is, the stronger the sensitivity is. The loaded pile foundation arranged along the direction of the subway tunnel has more obvious disturbance to the subway tunnel than that arranged perpendicular to the direction of the subway tunnel.

Yoomi Rho

Yoomi Rho

William Kerby

Vikramshila Research Private Limited, Neeraj Yadav

Vikramshila Research Private Limited, Neeraj Yadav

Babli Kumari, Anurag Jayswal

In this paper, we consider a vector optimization problem on Riemannian manifolds for which we define KT-B-invex and KT-B-pseudoinvex functions. Further, we prove that every vector Kuhn–Tucker point is a weak efficient solution for considered vector optimization problem under the suitable assumptions. Moreover, we also study the Mond–Weir dual problem for the aforesaid problem and establish its weak, strong and converse duality results.

Benjamin Sanderson

DERYA KESKİN TÜTÜNCÜ

Let SMR be an (S, R)-bimodule. We denote DS(N) = {s ∈ S |sM ⊆ N} for any submodule N of MR. We investigate the condition DS(K + T) = DS(K) + DS(T) for submodules K and T of MR. Various characterizations and properties are derived for modules with this property. In particular, for S = End (MR), the π-projective modules are those modules MR for which S = DS(K) + DS(T) whenever M = K+T, and we give some new results on these modules and lifting modules.

KT Klasson

Paul KT Liu