The habitat characteristics of Torreya were investigated based on high resolution DEM and remote sensing image. The distribution of Torreya was mapped by visual interpretation of IKONOS image. The landform and PCA analysis results showed that curvature, altitude, aspect and slope were found to be the dominant features controlling spatial distribution pattern of Torreya. A certain degree moistur...

We study the problem of estimating multivariate log-concave probability density functions. We prove the first sample complexity upper bound for learning log-concave densities on Rd, for all d ≥ 1. Prior to our work, no upper bound on the sample complexity of this learning problem was known for the case of d > 3. In more detail, we give an estimator that, for any d ≥ 1 and ǫ > 0, draws Õd ( (1/ǫ...

A model is discussed which describes the interaction between tidal currents, sediment transport and bedform changes in a one dimensional short embay-ment with a constant width. The water motions are described by the depth{ integrated shallow water equations. They are forced by prescribed free surface elevations at the entrance which consist of a basic tide and a rst overtide. For the sediment d...

In this paper, the concepts of $L$-concave structures, concave $L$-interior operators and concave $L$-neighborhood systems are introduced. It is shown that the category of $L$-concave spaces and the category of concave $L$-interior spaces are isomorphic, and they are both isomorphic to the category of concave $L$-neighborhood systems whenever $L$ is a completely distributive lattice. Also, it i...

The paper studies local convexity properties of digital curves. We locally define convex and concave parts from the slope of maximal digital straight segments and arithmetically characterize the smallest digital pattern required for checking convexity. Moreover, we introduce the concepts of digital edge and digital hull, a digital hull being a sequence of increasing or decreasing digital edges....

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Hillslopes have complex three-dimensional shapes that are characterized by their plan shape, profile curvature of surface and bedrock, and soil depth. To investigate the stability of complex hillslopes (with different slope curvatures and plan shapes), we combine the hillslopestorage Boussinesq (HSB) model with the infinite slope stability method. The HSB model is based on the continuity and Da...

Kaltenborn's convex-concave rule is a familiar concept in joint treatment techniques and arthrokinematics. Recent investigations on the glenohumeral joint appear to question this rule and thus accepted practice guidelines. An evidence-based systematic review was conducted to summarize and interpret the evidence on the direction of the accessory gliding movement of the head of the humerus (HOH) ...

We construct unconditionally stable, unconditionally uniquely solvable, and secondorder accurate (in time) schemes for gradient flows with energy of the form ∫ Ω(F (∇φ(x))+ 2 2 |Δφ(x)|2) dx. The construction of the schemes involves the appropriate combination and extension of two classical ideas: (i) appropriate convex-concave decomposition of the energy functional and (ii) the secant method. A...