In such a high population density society as China, especially in developed cities, the real estate market needs concept of micro-housing. Working people big cities like Beijing and Shanghai spend very little time at home while working socializing outside every day. High-density need to meet living many possible limited area. If we can solve this problem demand for houses will decrease prices f...

Given a set S of n pairwise interior-disjoint (d?1)-simplices in d-space, for d 3, a Convex Space Partition induced by S (denoted CSP(S)) is a partition of d-space into convex cells such that the interior of each cell does not intersect the interior of any simplex in S. In this paper it is shown that a CSP(S) of size O(n d?1) can be computed deterministically in time O(n d?1). These bounds are ...

In this manuscript, we consider the inverse problem for non self-adjoint Sturm--Liouville operator $-D^2+q$ with eigenparameter dependent boundary and discontinuity conditions inside a finite closed interval. We prove by defining a new Hilbert space and using spectral data of a kind, the potential function can be uniquely determined by a set of value of eigenfunctions at an interior point and p...