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Patch Colorings and Rigid Colorings of the Rational n-Space
2002
Journal of combinatorial theory. Series B (Print)
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
Page 3214 of Mathematical Reviews Vol. , Issue 2003e
[page]
2003
Mathematical Reviews
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\,... ...
A SELF-RECORDING DEVICE FOR TESTING THE COLOR SENSE
1914
Journal of the American Medical Association
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
Highly accurate 5-axis flank CNC machining with conical tools
2018
The International Journal of Advanced Manufacturing Technology
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
Kernel principal component analysis network for image classification
[article]
2015
arXiv
pre-print
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
Tilings of the plane and Thurston semi-norm
[article]
2013
arXiv
pre-print
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
Tilings of the plane and Thurston semi-norm
2014
Geometriae Dedicata
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
Towards efficient 5-axis flank CNC machining of free-form surfaces via fitting envelopes of surfaces of revolution
2016
Computer-Aided Design
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
Function of 5-Hydroxytryptamine Type 3 Receptors-A Computational Approachq
Function of 5-Hydroxytryptamine Type 3 Receptors-A Computational Approach
2016
Neurology & Neurotherapy Open Access Journal
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
Recent Advances in Block Copolymer Self‐Assembly for the Fabrication of Photonic Films and Pigments
2021
Advanced Optical Materials
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
Conjugacies for Tiling Dynamical Systems
2004
Communications in Mathematical Physics
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
Shape-From-Silhouette Across Time Part I: Theory and Algorithms
2004
International Journal of Computer Vision
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 ® à ° Í ¤ » y À ¬ y c ¾ 3 ¬ y H 3 Ņ y H 3 Ñ ® à ° Ͱ 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
GIS-Based Urban Agglomeration Landscape Dynamic Observation and Simulation Prediction Algorithm
2022
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
A Preliminary Revision of the Lepidopterous Family Notodontidæ
1894
Transactions of the American Entomological Society (1890)
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
Page 175 of American Medical Times Vol. 1, Issue 10
[page]
1860
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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