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There is no clear relationship between the size of soil mineral components and their mineralogical nature: sand and silt particles can be calcareous as well as siliceous, [18] while textural clay (0.002 mm (7.9 × 10 −5 in)) can be made of very fine quartz particles as well as of multi-layered secondary minerals. [19]
Let H = {h 1, h 2, ..., h k} be the convex hull of P; then the farthest-point Voronoi diagram is a subdivision of the plane into k cells, one for each point in H, with the property that a point q lies in the cell corresponding to a site h i if and only if d(q, h i) > d(q, p j) for each p j ∈ S with h i ≠ p j, where d(p, q) is the Euclidean ...
A sample of a material is called dilative if its volume increases with increasing shear and contractive if the volume decreases with increasing shear. [7] [8] Dilatancy is a common feature of soils and sands. Its effect can be seen when the wet sand around the foot of a person walking on beach appears to dry up.
Distance geometry is the branch of mathematics concerned with characterizing and studying sets of points based only on given values of the distances between pairs of points. [ 1 ] [ 2 ] [ 3 ] More abstractly, it is the study of semimetric spaces and the isometric transformations between them.
The van der Waals radius, r w, of an atom is the radius of an imaginary hard sphere representing the distance of closest approach for another atom. It is named after Johannes Diderik van der Waals, winner of the 1910 Nobel Prize in Physics, as he was the first to recognise that atoms were not simply points and to demonstrate the physical consequences of their size through the van der Waals ...
The closest pair of points problem or closest pair problem is a problem of computational geometry: given points in metric space, find a pair of points with the smallest distance between them. The closest pair problem for points in the Euclidean plane [ 1 ] was among the first geometric problems that were treated at the origins of the systematic ...
In contrast the volume of the Sag Branch Tuliptree (Liriodendron tulipifera), height 167.7 feet, dbh 7.08 feet, crown spread 101 feet) had a trunk volume of 2430 ft 3 (68.6 m 3) and a branch volume of 1560 ft 3 (44.17 m 3). [15] The volume of the branches on the tuliptree was only 64.2% that of the trunk. [15] The President Tree (Sequoiadendron ...
[3] The novel Daantjie Dreamer (1993) is about a family from the 1950s. The narrator is the daughter Bubbles, who wants to free herself from the environment in which she grew up. Through her conversations with her philosophically inclined brother Daantjie Dreamer, she comes to new insights about political matters and she is aware of her own ...