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We investigate k-colorings of the rational n-space, Q n , such that any two points at distance one get distinct colors. ... We prove that the existence of a patch k-coloring of Q n implies the existence of a k-coloring of R n . We show that every 2-coloring of Q 2 or Q 3 , and every 4-coloring of Q 4 is rigid. ... ACKNOWLEDGMENTS The authors are grateful to both referees for the careful reading and for their helpful comments. ...doi:10.1006/jctb.2001.2062 fatcat:hzgr5bu2xjhjlbzdndbybgtqia
of the rational n-space. ... +. for all x € A, and if A has a patch k- coloring, then there exists a k-coloring of R”; in particular, if Q” has a patch k-coloring then there exists a k-coloring of R”. If @ =(C\,... ...
The position of the patches of color and the circular openings have been arranged in an absolutely symmetrical design, so iiiÜBlI n n ni h es m n n HBBii illBlBIÏ n n n n o n n n liiiiiii Jennings* self-recording ... cord, and a half dilated rigid cervix. ...doi:10.1001/jama.1914.25710120002016c fatcat:mt4e7rus7bg4vkhjcnm2pai5dq
The space of lines that admit tangential motion of an associated truncated cone along a general, doubly curved, free-form surface is explored. ... These lines serve as discrete positions of conical axes in 3D space. ... The first and third authors have been supported by the Spanish Ministry of economy (MIMECOR) Implantacin de una solucin integral para la fabricacin y reparacin de componentes de turbo maquinaria (Turbo ...doi:10.1007/s00170-018-2033-7 fatcat:pkesmjzhlnaz7c6jr3trmwjb6y
First, mapping the data into higher space with kernel principal component analysis to make the data linearly separable. Then building a two-layer KPCANet to obtain the principal components of image. ... In order to classify the nonlinear feature with linear classifier and improve the classification accuracy, a deep learning network named kernel principal component analysis network (KPCANet) is proposed ... Suppose that the patch size is 1 2 k k × at all stages, and all the input images are of size m n × . ...arXiv:1512.06337v1 fatcat:qnwldiyk3fe37hb7rpxoyiqxim
We show that the problem of tiling the Euclidean plane with a finite set of polygons (up to translation) boils down to prove the existence of zeros of a non-negative convex function defined on a finite-dimensional ... This function is a generalisation, in the framework of branched surfaces, of the Thurston semi-norm originally defined for compact 3-manifolds. ... Figure 5 5 shows now a patch tiled with rational prototiles. Figure 5 . 5 A patch of the rational Penrose tiling. ...arXiv:1205.5118v2 fatcat:vxhuwt3rjfe3bm6cethkzpegky
We show that the problem of tiling the Euclidean plane with a finite set of polygons (up to translation) boils down to prove the existence of zeros of a non-negative convex function defined on a finite-dimensional ... This function is a generalisation, in the framework of branched surfaces, of the Thurston semi-norm originally defined for compact 3-manifolds. ... Figure 5 . 5 A patch of the rational Penrose tiling. Remark 3.2. ...doi:10.1007/s10711-013-9932-4 fatcat:srsrqvegircipa5agb2knotdaa
We seek both an optimal shape of the milling tool as well as its optimal path in 3D space and propose an optimization based framework where these entities are the unknowns. ... We present several examples showing that the proposed method recovers exact envelopes, including semi-envelopes and incomplete data, and for general free-form objects it detects envelope sub-patches. ... The first author was partially supported by The National Natural Science Foundation of China ...doi:10.1016/j.cad.2016.04.004 fatcat:sayhu4xry5g6xa4t7zbonjxy2e
Neurology & Neurotherapy Open Access Journal
Function of 5-Hydroxytryptamine Type 3 Receptors-A Computational Approach
Function of 5-Hydroxytryptamine Type 3 Receptors-A Computational Approach
Flexible and rigid docking simulations around key residues resulted in a number of low-energy (high affinity) configurations of ligand binding. ... Antagonists of the 5-HT3 receptor are currently one of the most effective therapeutic agents in treatment of chemotherapy-induced nausea, vomiting, and irritable bowel syndrome. ... Click 'Hydrogen Bonding' -choose 'Activate as Spheres' (color green -default) and adjust radii + spacing for optimum view. ...doi:10.23880/nnoaj-16000102 fatcat:6yjz62l5jjapjjqhnebi75q5ku
In the third section, recent advances in exploiting confined self-assembly of block copolymers to produce photonic pigments are introduced and the diversity of structures that can be achieved with this ... history and recent progress of 1D photonic films, also commonly referred to as photonic multilayer structures. ... By selectively swelling the QP2VP block, both the domain spacing (d) and the refractive index contrast (Δn = n PS -n QP2VP ) of the multilayered photonic crystal increase, allowing for reflection of visible ...doi:10.1002/adom.202100519 fatcat:d6inoynljfeq7kshxxjsx24b3a
We consider tiling dynamical systems and topological conjugacies between them. We prove that the criterion of being finite type is invariant under topological conjugacy. ... For substitution tiling systems under rather general conditions, including the Penrose and pinwheel systems, we show that substitutions are invertible and that conjugacies are generalized sliding block ... The authors are grateful for the support of the Banff International Research Station, at which we formulated and proved Theorem 3. ...doi:10.1007/s00220-004-1195-3 fatcat:26b7vwpn4famhpnx75m72b7nly
The algorithm is first developed for rigid objects and then extended to articulated objects. ... To break the alignment ambiguity, we combine stereo information with silhouette information and derive a Temporal SFS algorithm which consists of two steps: (1) estimate the motion of the objects over ... Ñ ® Ã ° Í ¤ » y À ¬ y c ¾ 3 ¬ y H 3 Ņ y H 3 Ñ ® Ã ° Í° Ó (7) (R T , -R T t) 2D Color Images Initial motion estimate (R, t) t 1 t 2 Time Colored Surface Touching Points ("3D Images") R T -R T t W 2 i Error ...doi:10.1007/s11263-005-4881-5 fatcat:pumir6crzveidku4f2ynua4nkm
Journal of Sensors
Raster data is to determine the specific position of each pixel through the vertical and horizontal row and column relationship of the pixel, which is relatively simple in structure and easy to topology ... has a very large space to play. ... Therefore, urban ecological corridors should be constructed rationally and used as links to connect discrete patches to form a scientific and rational ecological network and urban green space system. ...doi:10.1155/2022/8117539 fatcat:gefuseuyd5hbhp2m2pfdo2moli
The marks are confused and largely reduced to irro rations, while the color is pale. Base and median space shaded with yellowish Expanse 25 mm. Hab.?Central United States to Mexico. ... A deep smoky brown shade obtains over the space between the third and fourth lines, and also subapically ; fourth line widened and white on costa, the rusty patch outside of it very obscure. ... Synopsis of Species. ...fatcat:tejwlimlczf7rkkjbun67xwwye
American Medical Times
These fat-containing cells were found not only in the white patches, but in parts of the retina which were unchanged in color. ... and its border indistinct ; then appear the white specks and patches scattered over the fundus in the vicinity of the optic nerve: lastly, extravasations of blood usually take place upon the white spots ...
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