.onAttach start message | .onAttach |
.onLoad getOption package settings | .onLoad |
The angles to draw arcs between two line segments | angle.str2end |
The angle between two line segments | angle3pnts |
The arcs of Arc Slice Proximity Catch Digraph (AS-PCD) for a 2D data set - multiple triangle case | arcsAS |
The arcs of Arc Slice Proximity Catch Digraph (AS-PCD) for 2D data - one triangle case | arcsAStri |
The arcs of Central Similarity Proximity Catch Digraph (CS-PCD) for 2D data - multiple triangle case | arcsCS |
The arcs of Central Similarity Proximity Catch Digraph (CS-PCD) for 1D data - multiple interval case | arcsCS1D |
The arcs of Central Similarity Proximity Catch Digraph (CS-PCD) for 1D data - end interval case | arcsCSend.int |
The arcs of Central Similarity Proximity Catch Digraph (CS-PCD) for 1D data - one interval case | arcsCSint |
The arcs of Central Similarity Proximity Catch Digraph (CS-PCD) for 1D data - middle intervals case | arcsCSmid.int |
The arcs of Central Similarity Proximity Catch Digraphs (CS-PCD) for 2D data - one triangle case | arcsCStri |
The arcs of Proportional Edge Proximity Catch Digraph (PE-PCD) for 2D data - multiple triangle case | arcsPE |
The arcs of Proportional Edge Proximity Catch Digraph (PE-PCD) for 1D data - multiple interval case | arcsPE1D |
The arcs of Proportional Edge Proximity Catch Digraph (PE-PCD) for 1D data - end interval case | arcsPEend.int |
The arcs of Proportional Edge Proximity Catch Digraph (PE-PCD) for 1D data - one interval case | arcsPEint |
The arcs of Proportional Edge Proximity Catch Digraph (PE-PCD) for 1D data - middle intervals case | arcsPEmid.int |
The arcs of Proportional Edge Proximity Catch Digraph (PE-PCD) for 2D data - one triangle case | arcsPEtri |
The area of a polygon in R^2 | area.polygon |
The labels of the vertices of a triangle in the basic triangle form | as.basic.tri |
Arc density of Arc Slice Proximity Catch Digraphs (AS-PCDs) - one triangle case | ASarc.dens.tri |
Centers for non-degenerate asymptotic distribution of domination number of Proportional Edge Proximity Catch Digraphs (PE-PCDs) | center.nondegPE |
Parameterized center of an interval | centerMc |
Parameterized centers of intervals | centersMc |
Circumcenter of a standard basic triangle form | circumcenter.basic.tri |
Circumcenter of a general tetrahedron | circumcenter.tetra |
Circumcenter of a general triangle | circumcenter.tri |
The closest points to circumcenter in each CC-vertex region in a triangle | cl2CCvert.reg |
The closest points to circumcenter in each CC-vertex region in a standard basic triangle | cl2CCvert.reg.basic.tri |
The closest points in a data set to edges in the standard equilateral triangle | cl2edges.std.tri |
The closest points among a data set in the vertex regions to the corresponding edges in a standard basic triangle | cl2edges.vert.reg.basic.tri |
The closest points in a data set to edges in each CC-vertex region in a triangle | cl2edgesCCvert.reg |
The closest points in a data set to edges in each CM-vertex region in a triangle | cl2edgesCMvert.reg |
The closest points among a data set in the vertex regions to the respective edges in a triangle | cl2edgesMvert.reg |
The closest points among a data set in the vertex regions to the respective faces in a tetrahedron | cl2faces.vert.reg.tetra |
The closest points to center in each vertex region in an interval | cl2Mc.int |
A test of segregation/association based on arc density of Central Similarity Proximity Catch Digraph (CS-PCD) for 2D data | CSarc.dens.test |
A test of uniformity of 1D data in a given interval based on Central Similarity Proximity Catch Digraph (CS-PCD) | CSarc.dens.test.int |
A test of segregation/association based on arc density of Central Similarity Proximity Catch Digraph (CS-PCD) for 1D data | CSarc.dens.test1D |
Arc density of Central Similarity Proximity Catch Digraphs (CS-PCDs) - one triangle case | CSarc.dens.tri |
The dimension of a 'vector' or matrix or a data frame | dimension |
The distance between two vectors, matrices, or data frames | Dist |
The distance from a point to a line defined by two points | dist.point2line |
The distance from a point to a plane spanned by three 3D points | dist.point2plane |
Distance from a point to a set of finite cardinality | dist.point2set |
Exact domination number (i.e., domination number by the exact algorithm) | dom.num.exact |
Approximate domination number and approximate dominating set by the greedy algorithm | dom.num.greedy |
The vertices of the CM-edge region in a triangle that contains the point | edge.reg.triCM |
The furthest points in a data set from edges in each CM-edge region in the standard equilateral triangle | fr2edgesCMedge.reg.std.tri |
The furthest points in a data set from vertices in each CC-vertex region in a triangle | fr2vertsCCvert.reg |
The furthest points from vertices in each CC-vertex region in a standard basic triangle | fr2vertsCCvert.reg.basic.tri |
The lines joining two vertices to the center of mass in standard equilateral triangle | funsAB2CMTe lineA2CMinTe lineB2CMinTe |
The lines joining the three vertices of the standard equilateral triangle to a center, 'M', of it | funsAB2MTe lineA2MinTe lineB2MinTe lineC2MinTe |
Converts of a point in Cartesian coordinates to Barycentric coordinates and vice versa | bary2cart cart2bary funsCartBary |
Each function is for the presence of an arc from a point in one of the edge regions to another for Central Similarity Proximity Catch Digraphs (CS-PCDs) - standard equilateral triangle case | funsCSEdgeRegs IarcCSstd.triRAB IarcCSstd.triRAC IarcCSstd.triRBC |
The function 'gammakCSstd.tri' is for k (k=2,3,4,5) points constituting a dominating set for Central Similarity Proximity Catch Digraphs (CS-PCDs) - standard equilateral triangle case | funsCSGamTe Idom.num2CSstd.tri Idom.num3CSstd.tri Idom.num4CSstd.tri Idom.num5CSstd.tri Idom.num6CSstd.tri |
Each function is for the presence of an arc from a point in one of the edge regions to another for Central Similarity Proximity Catch Digraphs (CS-PCDs) - standard equilateral triangle case with t=1 | funsCSt1EdgeRegs IarcCSt1.std.triRAB IarcCSt1.std.triRAC IarcCSt1.std.triRBC |
Functions provide the indices of the Delaunay triangles where the points reside | funsIndDelTri index.delaunay.tri indices.delaunay.tri |
Returning the mean and (asymptotic) variance of arc density of Central Similarity Proximity Catch Digraph (CS-PCD) for 1D data - middle interval case | asyvarCS1D funsMuVarCS1D muCS1D |
Returns the mean and (asymptotic) variance of arc density of Central Similarity Proximity Catch Digraph (CS-PCD) for 2D uniform data in one triangle | asyvarCS2D funsMuVarCS2D muCS2D |
Returns the mean and (asymptotic) variance of arc density of Central Similarity Proximity Catch Digraph (CS-PCD) for 1D data - end interval case | asyvarCSend.int funsMuVarCSend.int muCSend.int |
Returns the mean and (asymptotic) variance of arc density of Proportional Edge Proximity Catch Digraph (PE-PCD) for 1D data - middle interval case | asyvarPE1D funsMuVarPE1D fvar1 fvar2 mu1PE1D muPE1D |
Returns the mean and (asymptotic) variance of arc density of Proportional Edge Proximity Catch Digraph (PE-PCD) for 2D uniform data in one triangle | asyvarPE2D funsMuVarPE2D muPE2D |
Returns the mean and (asymptotic) variance of arc density of Proportional Edge Proximity Catch Digraph (PE-PCD) for 1D data - end interval case | asyvarPEend.int funsMuVarPEend.int muPEend.int |
The functions for probability of domination number = 2 for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - middle interval case | funsPDomNum2PE1D Pdom.num2A Pdom.num2AI Pdom.num2AII Pdom.num2AIII Pdom.num2AIV Pdom.num2Asym Pdom.num2B Pdom.num2BIII Pdom.num2Bsym Pdom.num2C Pdom.num2CIV Pdom.num2Csym Pdom.num2PE1D |
Returns the ranks and orders of points in decreasing distance to the edges of the triangle | funsRankOrderTe order.dist2edges.std.tri rank.dist2edges.std.tri |
Two functions 'lineD1CCinTb' and 'lineD2CCinTb' which are of class '"TriLines"' - The lines joining the midpoints of edges to the circumcenter (CC) in the standard basic triangle. | funsTbMid2CC lineD1CCinTb lineD2CCinTb |
The indicator for the presence of an arc from a point to another for Arc Slice Proximity Catch Digraphs (AS-PCDs) - standard basic triangle case | IarcASbasic.tri |
The indicator for the presence of an arc from a point in set 'S' to the point 'p' for Arc Slice Proximity Catch Digraphs (AS-PCDs) - one triangle case | IarcASset2pnt.tri |
The indicator for the presence of an arc from a point to another for Arc Slice Proximity Catch Digraphs (AS-PCDs) - one triangle case | IarcAStri |
The indicator for the presence of an arc from a point to another for Central Similarity Proximity Catch Digraphs (CS-PCDs) - first one-sixth of the standard equilateral triangle case | IarcCS.Te.onesixth |
The indicator for the presence of an arc from a point to another for Central Similarity Proximity Catch Digraphs (CS-PCDs) - standard basic triangle case | IarcCSbasic.tri |
The indicator for the presence of an arc from a point to another for Central Similarity Proximity Catch Digraphs (CS-PCDs) - standard equilateral triangle case | IarcCSedge.reg.std.tri |
The indicator for the presence of an arc from a point to another for Central Similarity Proximity Catch Digraphs (CS-PCDs) - end interval case | IarcCSend.int |
The indicator for the presence of an arc from a point to another for Central Similarity Proximity Catch Digraphs (CS-PCDs) - one interval case | IarcCSint |
The indicator for the presence of an arc from a point to another for Central Similarity Proximity Catch Digraphs (CS-PCDs) - middle interval case | IarcCSmid.int |
The indicator for the presence of an arc from a point in set 'S' to the point 'p' for Central Similarity Proximity Catch Digraphs (CS-PCDs) - standard equilateral triangle case | IarcCSset2pnt.std.tri |
The indicator for the presence of an arc from a point in set 'S' to the point 'p' for Central Similarity Proximity Catch Digraphs (CS-PCDs) - one triangle case | IarcCSset2pnt.tri |
The indicator for the presence of an arc from a point to another for Central Similarity Proximity Catch Digraphs (CS-PCDs) - standard equilateral triangle case | IarcCSstd.tri |
The indicator for the presence of an arc from a point to another for Central Similarity Proximity Catch Digraphs (CS-PCDs) - standard equilateral triangle case with t=1 | IarcCSt1.std.tri |
The indicator for the presence of an arc from one point to another for Central Similarity Proximity Catch Digraphs (CS-PCDs) | IarcCStri |
An alternative to the function 'IarcCStri' which yields the indicator for the presence of an arc from one point to another for Central Similarity Proximity Catch Digraphs (CS-PCDs) | IarcCStri.alt |
The indicator for the presence of an arc from a point to another for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - standard basic triangle case | IarcPEbasic.tri |
The indicator for the presence of an arc from a point to another for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - end interval case | IarcPEend.int |
The indicator for the presence of an arc from a point to another for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one interval case | IarcPEint |
The indicator for the presence of an arc from a point to another for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - middle interval case | IarcPEmid.int |
The indicator for the presence of an arc from a point in set 'S' to the point 'p' or Proportional Edge Proximity Catch Digraphs (PE-PCDs) - standard equilateral triangle case | IarcPEset2pnt.std.tri |
The indicator for the presence of an arc from a point in set 'S' to the point 'p' for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one triangle case | IarcPEset2pnt.tri |
The indicator for the presence of an arc from a point to another for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - standard regular tetrahedron case | IarcPEstd.tetra |
The indicator for the presence of an arc from a point to another for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - standard equilateral triangle case | IarcPEstd.tri |
The indicator for the presence of an arc from one 3D point to another 3D point for Proportional Edge Proximity Catch Digraphs (PE-PCDs) | IarcPEtetra |
The indicator for the presence of an arc from a point to another for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one triangle case | IarcPEtri |
Indicator for an upper bound for the domination number by the exact algorithm | Idom.num.up.bnd |
The indicator for a point being a dominating point for Arc Slice Proximity Catch Digraphs (AS-PCDs) - standard basic triangle case | Idom.num1ASbasic.tri |
The indicator for a point being a dominating point for Arc Slice Proximity Catch Digraphs (AS-PCDs) - one triangle case | Idom.num1AStri |
The indicator for a point being a dominating point for Central Similarity Proximity Catch Digraphs (CS-PCDs) - first one-sixth of the standard equilateral triangle case | Idom.num1CS.Te.onesixth |
The indicator for a point being a dominating point for Central Similarity Proximity Catch Digraphs (CS-PCDs) for an interval | Idom.num1CSint |
The indicator for a point being a dominating point for Central Similarity Proximity Catch Digraphs (CS-PCDs) - standard equilateral triangle case | Idom.num1CSstd.tri |
The indicator for a point being a dominating point for Central Similarity Proximity Catch Digraphs (CS-PCDs) - standard equilateral triangle case with t=1 | Idom.num1CSt1std.tri |
The indicator for a point being a dominating point or not for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - standard basic triangle case | Idom.num1PEbasic.tri |
The indicator for a point being a dominating point for Proportional Edge Proximity Catch Digraphs (PE-PCDs) for an interval | Idom.num1PEint |
The indicator for a 3D point being a dominating point for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - standard regular tetrahedron case | Idom.num1PEstd.tetra |
The indicator for a 3D point being a dominating point for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one tetrahedron case | Idom.num1PEtetra |
The indicator for a point being a dominating point for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one triangle case | Idom.num1PEtri |
The indicator for two points being a dominating set for Arc Slice Proximity Catch Digraphs (AS-PCDs) - standard basic triangle case | Idom.num2ASbasic.tri |
The indicator for two points constituting a dominating set for Arc Slice Proximity Catch Digraphs (AS-PCDs) - one triangle case | Idom.num2AStri |
The indicator for two points constituting a dominating set for Central Similarity Proximity Catch Digraphs (CS-PCDs) - first one-sixth of the standard equilateral triangle case | Idom.num2CS.Te.onesixth |
The indicator for two points being a dominating set for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - standard basic triangle case | Idom.num2PEbasic.tri |
The indicator for two 3D points constituting a dominating set for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - standard regular tetrahedron case | Idom.num2PEstd.tetra |
The indicator for two 3D points constituting a dominating set for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one tetrahedron case | Idom.num2PEtetra |
The indicator for two points constituting a dominating set for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one triangle case | Idom.num2PEtri |
The indicator for three 3D points constituting a dominating set for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - standard regular tetrahedron case | Idom.num3PEstd.tetra |
The indicator for three 3D points constituting a dominating set for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one tetrahedron case | Idom.num3PEtetra |
Indicator for an upper bound for the domination number of Arc Slice Proximity Catch Digraph (AS-PCD) by the exact algorithm - one triangle case | Idom.numASup.bnd.tri |
The indicator for 'k' being an upper bound for the domination number of Central Similarity Proximity Catch Digraph (CS-PCD) by the exact algorithm - standard equilateral triangle case | Idom.numCSup.bnd.std.tri |
Indicator for an upper bound for the domination number of Central Similarity Proximity Catch Digraph (CS-PCD) by the exact algorithm - one triangle case | Idom.numCSup.bnd.tri |
The indicator for the set of points 'S' being a dominating set or not for Arc Slice Proximity Catch Digraphs (AS-PCDs) - one triangle case | Idom.setAStri |
The indicator for the set of points 'S' being a dominating set or not for Central Similarity Proximity Catch Digraphs (CS-PCDs) - standard equilateral triangle case | Idom.setCSstd.tri |
The indicator for the set of points 'S' being a dominating set or not for Central Similarity Proximity Catch Digraphs (CS-PCDs) - one triangle case | Idom.setCStri |
The indicator for the set of points 'S' being a dominating set or not for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - standard equilateral triangle case | Idom.setPEstd.tri |
The indicator for the set of points 'S' being a dominating set or not for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one triangle case | Idom.setPEtri |
Check whether a point is inside a circle | in.circle |
Check whether a point is inside a tetrahedron | in.tetrahedron |
Check whether all points in a data set are inside the triangle | in.tri.all |
Check whether a point is inside a triangle | in.triangle |
Incidence matrix for Arc Slice Proximity Catch Digraphs (AS-PCDs) - multiple triangle case | inci.matAS |
Incidence matrix for Arc Slice Proximity Catch Digraphs (AS-PCDs) - one triangle case | inci.matAStri |
Incidence matrix for Central Similarity Proximity Catch Digraphs (CS-PCDs) - multiple triangle case | inci.matCS |
Incidence matrix for Central Similarity Proximity Catch Digraphs (CS-PCDs) for 1D data - multiple interval case | inci.matCS1D |
Incidence matrix for Central Similarity Proximity Catch Digraphs (CS-PCDs) for 1D data - one interval case | inci.matCSint |
Incidence matrix for Central Similarity Proximity Catch Digraphs (CS-PCDs) - standard equilateral triangle case | inci.matCSstd.tri |
Incidence matrix for Central Similarity Proximity Catch Digraphs (CS-PCDs) - one triangle case | inci.matCStri |
Incidence matrix for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - multiple triangle case | inci.matPE |
Incidence matrix for Proportional-Edge Proximity Catch Digraphs (PE-PCDs) for 1D data - multiple interval case | inci.matPE1D |
Incidence matrix for Proportional-Edge Proximity Catch Digraphs (PE-PCDs) for 1D data - one interval case | inci.matPEint |
Incidence matrix for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - standard equilateral triangle case | inci.matPEstd.tri |
Incidence matrix for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one tetrahedron case | inci.matPEtetra |
Incidence matrix for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one triangle case | inci.matPEtri |
Region index inside the Gamma-1 region | index.six.Te |
The points of intersection of a line and a circle | intersect.line.circle |
The point of intersection of a line and a plane | intersect.line.plane |
The point of intersection of two lines defined by two pairs of points | intersect2lines |
Indices of the intervals where the 1D point(s) reside | interval.indices.set |
Check a point belong to a given data set | is.in.data |
Check the argument is a point of a given dimension | is.point |
Check whether a triangle is a standard equilateral triangle | is.std.eq.tri |
The 'k' furthest points in a data set from vertices in each CC-vertex region in a triangle | kfr2vertsCCvert.reg |
The line joining two distinct 2D points 'a' and 'b' | Line |
The line crossing 3D point 'p' in the direction of 'vector' 'v' (or if 'v' is a point, in direction of v-r_0) | Line3D |
The vertices of the Arc Slice (AS) Proximity Region in the standard basic triangle | NASbasic.tri |
The vertices of the Arc Slice (AS) Proximity Region in a general triangle | NAStri |
The end points of the Central Similarity (CS) Proximity Region for a point - one interval case | NCSint |
The vertices of the Central Similarity (CS) Proximity Region in a general triangle | NCStri |
The vertices of the Proportional Edge (PE) Proximity Region in a standard basic triangle | NPEbasic.tri |
The end points of the Proportional Edge (PE) Proximity Region for a point - one interval case | NPEint |
The vertices of the Proportional Edge (PE) Proximity Region in the standard regular tetrahedron | NPEstd.tetra |
The vertices of the Proportional Edge (PE) Proximity Region in a tetrahedron | NPEtetra |
The vertices of the Proportional Edge (PE) Proximity Region in a general triangle | NPEtri |
Number of arcs of Arc Slice Proximity Catch Digraphs (AS-PCDs) and related quantities of the induced subdigraphs for points in the Delaunay triangles - multiple triangle case | num.arcsAS |
Number of arcs of Arc Slice Proximity Catch Digraphs (AS-PCDs) and quantities related to the triangle - one triangle case | num.arcsAStri |
Number of arcs of Central Similarity Proximity Catch Digraphs (CS-PCDs) and related quantities of the induced subdigraphs for points in the Delaunay triangles - multiple triangle case | num.arcsCS |
Number of arcs of Central Similarity Proximity Catch Digraphs (CS-PCDs) and related quantities of the induced subdigraphs for points in the partition intervals - multiple interval case | num.arcsCS1D |
Number of arcs of Central Similarity Proximity Catch Digraphs (CS-PCDs) - end interval case | num.arcsCSend.int |
Number of arcs of Central Similarity Proximity Catch Digraphs (CS-PCDs) and quantities related to the interval - one interval case | num.arcsCSint |
Number of Arcs of of Central Similarity Proximity Catch Digraphs (CS-PCDs) - middle interval case | num.arcsCSmid.int |
Number of arcs of Central Similarity Proximity Catch Digraphs (CS-PCDs) and quantities related to the triangle - standard equilateral triangle case | num.arcsCSstd.tri |
Number of arcs of Central Similarity Proximity Catch Digraphs (CS-PCDs) and quantities related to the triangle - one triangle case | num.arcsCStri |
Number of arcs of Proportional Edge Proximity Catch Digraphs (PE-PCDs) and related quantities of the induced subdigraphs for points in the Delaunay triangles - multiple triangle case | num.arcsPE |
Number of arcs of Proportional Edge Proximity Catch Digraphs (PE-PCDs) and related quantities of the induced subdigraphs for points in the partition intervals - multiple interval case | num.arcsPE1D |
Number of arcs of Proportional Edge Proximity Catch Digraphs (PE-PCDs) - end interval case | num.arcsPEend.int |
Number of arcs of Proportional Edge Proximity Catch Digraphs (PE-PCDs) and quantities related to the interval - one interval case | num.arcsPEint |
Number of Arcs for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - middle interval case | num.arcsPEmid.int |
Number of arcs of Proportional Edge Proximity Catch Digraphs (PE-PCDs) and quantities related to the triangle - standard equilateral triangle case | num.arcsPEstd.tri |
Number of arcs of Proportional Edge Proximity Catch Digraphs (PE-PCDs) and quantities related to the tetrahedron - one tetrahedron case | num.arcsPEtetra |
Number of arcs of Proportional Edge Proximity Catch Digraphs (PE-PCDs) and quantities related to the triangle - one triangle case | num.arcsPEtri |
Number of Delaunay triangles based on a 2D data set | num.delaunay.tri |
The line at a point 'p' parallel to the line segment joining two distinct 2D points 'a' and 'b' | paraline |
The line crossing the 3D point 'p' and parallel to line joining 3D points 'a' and 'b' | paraline3D |
The plane at a point and parallel to the plane spanned by three distinct 3D points 'a', 'b', and 'c' | paraplane |
pcds: A package for Proximity Catch Digraphs and Their Applications | pcds |
The asymptotic probability of domination number = 2 for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - middle interval case | Pdom.num2PE1Dasy |
Asymptotic probability that domination number of Proportional Edge Proximity Catch Digraphs (PE-PCDs) equals 2 where vertices of the digraph are uniform points in a triangle | Pdom.num2PEtri |
A test of segregation/association based on arc density of Proportional Edge Proximity Catch Digraph (PE-PCD) for 2D data | PEarc.dens.test |
A test of uniformity of 1D data in a given interval based on Proportional Edge Proximity Catch Digraph (PE-PCD) | PEarc.dens.test.int |
A test of segregation/association based on arc density of Proportional Edge Proximity Catch Digraph (PE-PCD) for 1D data | PEarc.dens.test1D |
Arc density of Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one tetrahedron case | PEarc.dens.tetra |
Arc density of Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one triangle case | PEarc.dens.tri |
The domination number of Proportional Edge Proximity Catch Digraph (PE-PCD) - multiple triangle case | PEdom.num |
A test of segregation/association based on domination number of Proportional Edge Proximity Catch Digraph (PE-PCD) for 2D data - Binomial Approximation | PEdom.num.binom.test |
A test of segregation/association based on domination number of Proportional Edge Proximity Catch Digraph (PE-PCD) for 1D data - Binomial Approximation | PEdom.num.binom.test1D |
A test of uniformity for 1D data based on domination number of Proportional Edge Proximity Catch Digraph (PE-PCD) - Binomial Approximation | PEdom.num.binom.test1Dint |
The domination number of Proportional Edge Proximity Catch Digraph (PE-PCD) with non-degeneracy centers - multiple triangle case | PEdom.num.nondeg |
A test of segregation/association based on domination number of Proportional Edge Proximity Catch Digraph (PE-PCD) for 2D data - Normal Approximation | PEdom.num.norm.test |
The domination number of Proportional Edge Proximity Catch Digraph (PE-PCD) - one tetrahedron case | PEdom.num.tetra |
The domination number of Proportional Edge Proximity Catch Digraph (PE-PCD) - one triangle case | PEdom.num.tri |
The domination number of Proportional Edge Proximity Catch Digraph (PE-PCD) for 1D data | PEdom.num1D |
The domination number of Proportional Edge Proximity Catch Digraph (PE-PCD) with non-degeneracy centers - multiple interval case | PEdom.num1Dnondeg |
The line passing through a point and perpendicular to the line segment joining two points | perpline |
The line crossing the 3D point 'p' and perpendicular to the plane spanned by 3D points 'a', 'b', and 'c' | perpline2plane |
The plane passing through three distinct 3D points 'a', 'b', and 'c' | Plane |
Plot an 'Extrema' 'object' | plot.Extrema |
Plot a 'Lines' 'object' | plot.Lines |
Plot a 'Lines3D' 'object' | plot.Lines3D |
Plot a 'NumArcs' 'object' | plot.NumArcs |
Plot a 'Patterns' 'object' | plot.Patterns |
Plot a 'PCDs' 'object' | plot.PCDs |
Plot a 'Planes' 'object' | plot.Planes |
Plot a 'TriLines' 'object' | plot.TriLines |
Plot a 'Uniform' 'object' | plot.Uniform |
The plot of the arcs of Arc Slice Proximity Catch Digraph (AS-PCD) for a 2D data set - multiple triangle case | plotASarcs |
The plot of the arcs of Arc Slice Proximity Catch Digraph (AS-PCD) for a 2D data set - one triangle case | plotASarcs.tri |
The plot of the Arc Slice (AS) Proximity Regions for a 2D data set - multiple triangle case | plotASregs |
The plot of the Arc Slice (AS) Proximity Regions for a 2D data set - one triangle case | plotASregs.tri |
The plot of the arcs of Central Similarity Proximity Catch Digraph (CS-PCD) for a 2D data set - multiple triangle case | plotCSarcs |
The plot of the arcs of Central Similarity Proximity Catch Digraphs (CS-PCDs) for 1D data (vertices jittered along y-coordinate) - one interval case | plotCSarcs.int |
The plot of the arcs of Central Similarity Proximity Catch Digraph (CS-PCD) for a 2D data set - one triangle case | plotCSarcs.tri |
The plot of the arcs of Central Similarity Proximity Catch Digraphs (CS-PCDs) for 1D data (vertices jittered along y-coordinate) - multiple interval case | plotCSarcs1D |
The plot of the Central Similarity (CS) Proximity Regions for a 2D data set - multiple triangle case | plotCSregs |
The plot of the Central Similarity (CS) Proximity Regions for a general interval (vertices jittered along y-coordinate) - one interval case | plotCSregs.int |
The plot of the Central Similarity (CS) Proximity Regions for a 2D data set - one triangle case | plotCSregs.tri |
The plot of the Central Similarity (CS) Proximity Regions (vertices jittered along y-coordinate) - multiple interval case | plotCSregs1D |
The scatterplot of points from one class and plot of the Delaunay triangulation of the other class | plotDelaunay.tri |
The plot of the subintervals based on 'Yp' points together with 'Xp' points | plotIntervals |
The plot of the arcs of Proportional Edge Proximity Catch Digraph (PE-PCD) for a 2D data set - multiple triangle case | plotPEarcs |
The plot of the arcs of Proportional Edge Proximity Catch Digraphs (PE-PCDs) for 1D data (vertices jittered along y-coordinate) - one interval case | plotPEarcs.int |
The plot of the arcs of Proportional Edge Proximity Catch Digraph (PE-PCD) for a 2D data set - one triangle case | plotPEarcs.tri |
The plot of the arcs of Proportional Edge Proximity Catch Digraphs (PE-PCDs) for 1D data (vertices jittered along y-coordinate) - multiple interval case | plotPEarcs1D |
The plot of the Proportional Edge (PE) Proximity Regions for a 2D data set - multiple triangle case | plotPEregs |
The plot of the Proportional Edge (PE) Proximity Regions for a general interval (vertices jittered along y-coordinate) - one interval case | plotPEregs.int |
The plot of the Proportional Edge (PE) Proximity Regions for a 3D data set - standard regular tetrahedron case | plotPEregs.std.tetra |
The plot of the Proportional Edge (PE) Proximity Regions for a 3D data set - one tetrahedron case | plotPEregs.tetra |
The plot of the Proportional Edge (PE) Proximity Regions for a 2D data set - one triangle case | plotPEregs.tri |
The plot of the Proportional Edge (PE) Proximity Regions (vertices jittered along y-coordinate) - multiple interval case | plotPEregs1D |
Print a 'Extrema' 'object' | print.Extrema |
Print a 'Lines' 'object' | print.Lines |
Print a 'Lines3D' 'object' | print.Lines3D |
Print a 'NumArcs' 'object' | print.NumArcs |
Print a 'Patterns' 'object' | print.Patterns |
Print a 'PCDs' 'object' | print.PCDs |
Print a 'Planes' 'object' | print.Planes |
Print a summary of a 'Extrema' 'object' | print.summary.Extrema |
Print a summary of a 'Lines' 'object' | print.summary.Lines |
Print a summary of a 'Lines3D' 'object' | print.summary.Lines3D |
Print a summary of a 'NumArcs' 'object' | print.summary.NumArcs |
Print a summary of a 'Patterns' 'object' | print.summary.Patterns |
Print a summary of a 'PCDs' 'object' | print.summary.PCDs |
Print a summary of a 'Planes' 'object' | print.summary.Planes |
Print a summary of a 'TriLines' 'object' | print.summary.TriLines |
Print a summary of a 'Uniform' 'object' | print.summary.Uniform |
Print a 'TriLines' 'object' | print.TriLines |
Print a 'Uniform' 'object' | print.Uniform |
Projections of a point inside a triangle to its edges | prj.cent2edges |
Projections of a point inside the standard basic triangle form to its edges | prj.cent2edges.basic.tri |
Projections of Centers for non-degenerate asymptotic distribution of domination number of Proportional Edge Proximity Catch Digraphs (PE-PCDs) to its edges | prj.nondegPEcent2edges |
The radii of points from one class with respect to points from the other class | radii |
The radius of a point from one class with respect to points from the other class | radius |
Generation of points associated (in a radial or circular fashion) with a given set of points | rassoc.circular |
Generation of points associated (in a Matern-like fashion) to a given set of points | rassoc.matern |
Generation of points associated (in a Type I fashion) with a given set of points | rassoc.multi.tri |
Generation of points associated (in a Type I fashion) with the vertices of T_e | rassoc.std.tri |
Generation of points associated (in a Type I fashion) with the vertices of a triangle | rassoc.tri |
Generation of points associated (in a Type II fashion) with the edges of T_e | rassocII.std.tri |
The index of the edge region in a standard basic triangle form that contains a point | rel.edge.basic.tri |
The index of the CM-edge region in a standard basic triangle form that contains a point | rel.edge.basic.triCM |
The index of the edge region in the standard equilateral triangle that contains a point | rel.edge.std.triCM |
The index of the edge region in a triangle that contains the point | rel.edge.tri |
The index of the CM-edge region in a triangle that contains the point | rel.edge.triCM |
The indices of the 'M'-edge regions in a triangle that contains the points in a give data set | rel.edges.tri |
The indices of the CM-edge regions in a triangle that contains the points in a give data set | rel.edges.triCM |
The index of the vertex region in a standard basic triangle form that contains a given point | rel.vert.basic.tri |
The index of the CC-vertex region in a standard basic triangle form that contains a point | rel.vert.basic.triCC |
The index of the CM-vertex region in a standard basic triangle form that contains a point | rel.vert.basic.triCM |
The index of the vertex region in an end-interval that contains a given point | rel.vert.end.int |
The index of the vertex region in a middle interval that contains a given point | rel.vert.mid.int |
The index of the vertex region in the standard equilateral triangle that contains a given point | rel.vert.std.tri |
The index of the CM-vertex region in the standard equilateral triangle that contains a given point | rel.vert.std.triCM |
The index of the CC-vertex region in a tetrahedron that contains a point | rel.vert.tetraCC |
The index of the CM-vertex region in a tetrahedron that contains a point | rel.vert.tetraCM |
The index of the vertex region in a triangle that contains a given point | rel.vert.tri |
The index of the CC-vertex region in a triangle that contains a point | rel.vert.triCC |
The index of the CM-vertex region in a triangle that contains a given point | rel.vert.triCM |
The indices of the vertex regions in a triangle that contains the points in a give data set | rel.verts.tri |
The indices of the vertex regions in a triangle that contains the points in a give data set | rel.verts.tri.nondegPE |
The indices of the CC-vertex regions in a triangle that contains the points in a give data set. | rel.verts.triCC |
The indices of the CM-vertex regions in a triangle that contains the points in a give data set | rel.verts.triCM |
The alternative function for the indices of the M-vertex regions in a triangle that contains the points in a give data set | rel.verts.triM |
Generation of points segregated (in a radial or circular fashion) from a given set of points | rseg.circular |
Generation of points segregated (in a Type I fashion) from a given set of points | rseg.multi.tri |
Generation of points segregated (in a Type I fashion) from the vertices of T_e | rseg.std.tri |
Generation of points segregated (in a Type I fashion) from the vertices of a triangle | rseg.tri |
Generation of points segregated (in a Type II fashion) from the vertices of T_e | rsegII.std.tri |
Generation of Uniform Points in the standard basic triangle | runif.basic.tri |
Generation of Uniform Points in the Convex Hull of Points | runif.multi.tri |
Generation of Uniform Points in the Standard Regular Tetrahedron T_h | runif.std.tetra |
Generation of Uniform Points in the Standard Equilateral Triangle | runif.std.tri |
Generation of Uniform Points in the first one-sixth of standard equilateral triangle | runif.std.tri.onesixth |
Generation of Uniform Points in a tetrahedron | runif.tetra |
Generation of Uniform Points in a Triangle | runif.tri |
The auxiliary triangle to define the support of type I segregation | seg.tri.support |
The closest points among a data set in the standard equilateral triangle to the median lines in the six half edge regions | six.extremaTe |
The slope of a line | slope |
Return a summary of a 'Extrema' 'object' | summary.Extrema |
Return a summary of a 'Lines' 'object' | summary.Lines |
Return a summary of a 'Lines3D' 'object' | summary.Lines3D |
Return a summary of a 'NumArcs' 'object' | summary.NumArcs |
Return a summary of a 'Patterns' 'object' | summary.Patterns |
Return a summary of a 'PCDs' 'object' | summary.PCDs |
Return a summary of a 'Planes' 'object' | summary.Planes |
Return a summary of a 'TriLines' 'object' | summary.TriLines |
Return a summary of a 'Uniform' 'object' | summary.Uniform |
Tree Species in a Swamp Forest | swamptrees |
Converting a triangle to the standard basic triangle form form | tri2std.basic.tri |
Points from one class inside the convex hull of the points from the other class | Xin.convex.hullY |