Twitter Google Share on Facebook Cartesian product Thesaurus Encyclopedia Wikipedia Cartesian product n. A set of all pairs of elements (x, y) that can be constructed from given sets, X and Y, such that x belongs to X and y to Y. ...
The crossing number cr(G) of a graph G is the minimal number of crossings over all drawings of G in the plane. According to their special structure, the class of Cartesian products of two graphs is one of few graph classes for which some exact values of crossing numbers were obtained. ...
The crossing number of a graph is the minimum number of pairwise intersections of edges in a drawing of in the plane.It is well known that the crossing number of a graph is attained only in good drawings of the graph,which are those drawings where no edge crosses itself,no adjacent edges...
a system of coordinates for locating a point on a plane by its distance from each of two intersecting lines, or in space by its distance from each of three planes intersecting at a point. Comparex-axis, y-axis, z-axis. [1885–90] ...
Given a plane setE, we denote byExthe set of its points whose abscissae are equal tox. Throughout this paper we use the lettersAandBto denote subsets of thex-axis andy-axis respectively, and we denote byA×Btheir Cartesian product set. We use the letterssandtto denote positive numbers; ...
Consider a line segment identified by using the coordinates on a Cartesian plane. To determine the distance between the two coordinates, consider this segment as a segment of a triangle. The distance formula can be obtained by creating a triangle and using thePythagorean Theoremto find the length...
2 Let G be a simple graph. We say G has reflective symmetry if it is invariant un- der the reflection across some straight line or plane l (the symmetry plane or axis) (see Ciucu’s paper [2]). Ciucu [2] gave a matching factorization theorem of the number of per- ...
while CACE is somewhere between them and ACE. We then compared the dihedral potential energy surface of the molecule. Figure4shows the complex energy landscapes of theα-γplane predicted by DFT and by CACE, for the case ofβ = 120∘, the plane with the fewest training points. Nevert...
SCARA robots can move in the X, Y and Z axes like Cartesians, but the arms are linked and the movement is primarily rotational about the linkages. They can also include movements in the Θ (theta) end of the Z plane to rotate end-of-arm tooling (EOAT). ...
The paper presents some simple solutions to plane stress non-homogeneous isotropic elasticity problems described in Cartesian coordinates. The general prob... MH Sadd - 《Mechanics Research Communications》 被引量: 23发表: 2010年 Spiral tissue phase velocity mapping in a breath-hold with non-cartesi...