The question of q, a look at the interplay of number theory and ergodic theory i 57:37 The value distribution of the Hurwitz zeta function with an irrational shift 51:58 Theta-finite pro-Hermitian vector bundles from loop groups elements 51:02 Torsion points and concurrent lines on Del...
Two neighbor directional methanes and the potential central methane form a three-body aggregate as a regular triangle with a distance of ~6.7 Å which is well within the range of typical methane-methane distances in hydrates or in solution. We further showed that hydrate nucleation and ...
A skew-embedded hexagon has, however, a lesser degree of symmetry, as one of its lines, called an axis by Coolsaet, plays a special role. Given the axis of a skew-embedded hexagon, the three lines through each point of the axis are coplanar i.e. they lie in a plane of W(5,2)....
To compare the right and left lines from the most superior point to the most inferior point of the EAM (MSP-MIP line), a new zero point, new sagittal axis, and new axial axis were determined for each patient and formed a midsagittal plane. This plane was used as a plane of symmetry...
Preferably the area enclosed with the first conductors is an equilateral triangle. The second conductors are either connected between the apices of the triangle with the center of gravity or extended along the median lines. A conductor plate to which the ports are connected through capacitors and ...
Here, the summation Σ is taken over the points ρjl that lie in a strip of width a/m along the axis rψi passing through the point xψi = ka/m. 4.2 Symmetry properties of projections One can get information on the three-dimensional structure of asymmetric objects only when one has ...
The little girl in the white dress dominated him, as she approached beauty in the hard symmetry of her desire. The fire blazing in her dark and injured heart seemed to glow around her like a flame. With some profound and uncharted pride she had made herself remote and so achieved her ...
A nanotube is obtained from a planar hexagonal grid by identifying objects (vertices, edges, faces) lying on two parallel lines, i.e., a hexagonal grid is wrapped into a tube. The wrapping of the hexagonal grid into a tube is determined by a pair of integers ( k , ℓ ) such that...
and if we define at the point 𝐯𝑖,vi, #𝑓#f—a number of adjacent triangular faces, and 𝜃𝑖𝑗θij—an angle of 𝑗jth adjacent triangle, and 𝒜𝐵AB—area of the first ring of triangles around the point 𝐯𝑖vi, we can find the Gaussian curvature and the mean curva...
Although numerous combinations are possible, those polygons having a degree of symmetry, such as isoceles triangles, rectangles, hexagons, octagons and decagons having two or three pair of equal length sides, and the like are preferred. The possible combinations of elements and three dimensional ...