| angle.str2end |
The angles to draw arcs between two line segments |
| angle3pnts |
The angle between two line segments |
| arcsAS |
The arcs of Arc Slice Proximity Catch Digraph (AS-PCD) for a 2D data set - multiple triangle case |
| arcsAStri |
The arcs of Arc Slice Proximity Catch Digraph (AS-PCD) for 2D data - one triangle case |
| arcsCS |
The arcs of Central Similarity Proximity Catch Digraph (CS-PCD) for 2D data - multiple triangle case |
| arcsCS1D |
The arcs of Central Similarity Proximity Catch Digraph (CS-PCD) for 1D data - multiple interval case |
| arcsCSend.int |
The arcs of Central Similarity Proximity Catch Digraph (CS-PCD) for 1D data - end-interval case |
| arcsCSint |
The arcs of Central Similarity Proximity Catch Digraph (CS-PCD) for 1D data - one interval case |
| arcsCSmid.int |
The arcs of Central Similarity Proximity Catch Digraph (CS-PCD) for 1D data - middle intervals case |
| arcsCStri |
The arcs of Central Similarity Proximity Catch Digraphs (CS-PCD) for 2D data - one triangle case |
| arcsPE |
The arcs of Proportional Edge Proximity Catch Digraph (PE-PCD) for 2D data - multiple triangle case |
| arcsPE1D |
The arcs of Proportional Edge Proximity Catch Digraph (PE-PCD) for 1D data - multiple interval case |
| arcsPEend.int |
The arcs of Proportional Edge Proximity Catch Digraph (PE-PCD) for 1D data - end-interval case |
| arcsPEint |
The arcs of Proportional Edge Proximity Catch Digraph (PE-PCD) for 1D data - one interval case |
| arcsPEmid.int |
The arcs of Proportional Edge Proximity Catch Digraph (PE-PCD) for 1D data - middle intervals case |
| arcsPEtri |
The arcs of Proportional Edge Proximity Catch Digraph (PE-PCD) for 2D data - one triangle case |
| area.polygon |
The area of a polygon in R^2 |
| as.basic.tri |
The labels of the vertices of a triangle in the basic triangle form |
| ASarc.dens.tri |
Arc density of Arc Slice Proximity Catch Digraphs (AS-PCDs) - one triangle case |
| asy.varCS1D |
Returning the mean and (asymptotic) variance of arc density of Central Similarity Proximity Catch Digraph (CS-PCD) for 1D data - middle interval case |
| asy.varCS2D |
Returns the mean and (asymptotic) variance of arc density of Central Similarity Proximity Catch Digraph (CS-PCD) for 2D uniform data in one triangle |
| asy.varCSend.int |
Returns the mean and (asymptotic) variance of arc density of Central Similarity Proximity Catch Digraph (CS-PCD) for 1D data - end-interval case |
| asy.varPE1D |
Returns the mean and (asymptotic) variance of arc density of Proportional Edge Proximity Catch Digraph (PE-PCD) for 1D data - middle interval case |
| asy.varPE2D |
Returns the mean and (asymptotic) variance of arc density of Proportional Edge Proximity Catch Digraph (PE-PCD) for 2D uniform data in one triangle |
| asy.varPEend.int |
Returns the mean and (asymptotic) variance of arc density of Proportional Edge Proximity Catch Digraph (PE-PCD) for 1D data - end-interval case |
| fr2edgesCMedge.reg.std.tri |
The furthest points in a data set from edges in each CM-edge region in the standard equilateral triangle |
| fr2vertsCCvert.reg |
The furthest points in a data set from vertices in each CC-vertex region in a triangle |
| fr2vertsCCvert.reg.basic.tri |
The furthest points from vertices in each CC-vertex region in a standard basic triangle |
| funsAB2CMTe |
The lines joining two vertices to the center of mass in standard equilateral triangle |
| funsAB2MTe |
The lines joining the three vertices of the standard equilateral triangle to a center, 'M', of it |
| funsCartBary |
Converts of a point in Cartesian coordinates to Barycentric coordinates and vice versa |
| funsCSEdgeRegs |
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 |
| funsCSGamTe |
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 |
| funsCSt1EdgeRegs |
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 |
| funsIndDelTri |
Functions provide the indices of the Delaunay triangles where the points reside |
| funsMuVarCS1D |
Returning the mean and (asymptotic) variance of arc density of Central Similarity Proximity Catch Digraph (CS-PCD) for 1D data - middle interval case |
| funsMuVarCS2D |
Returns the mean and (asymptotic) variance of arc density of Central Similarity Proximity Catch Digraph (CS-PCD) for 2D uniform data in one triangle |
| funsMuVarCSend.int |
Returns the mean and (asymptotic) variance of arc density of Central Similarity Proximity Catch Digraph (CS-PCD) for 1D data - end-interval case |
| funsMuVarPE1D |
Returns the mean and (asymptotic) variance of arc density of Proportional Edge Proximity Catch Digraph (PE-PCD) for 1D data - middle interval case |
| funsMuVarPE2D |
Returns the mean and (asymptotic) variance of arc density of Proportional Edge Proximity Catch Digraph (PE-PCD) for 2D uniform data in one triangle |
| funsMuVarPEend.int |
Returns the mean and (asymptotic) variance of arc density of Proportional Edge Proximity Catch Digraph (PE-PCD) for 1D data - end-interval case |
| funsPDomNum2PE1D |
The functions for probability of domination number = 2 for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - middle interval case |
| funsRankOrderTe |
Returns the ranks and orders of points in decreasing distance to the edges of the triangle |
| funsTbMid2CC |
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. |
| fvar1 |
Returns the mean and (asymptotic) variance of arc density of Proportional Edge Proximity Catch Digraph (PE-PCD) for 1D data - middle interval case |
| fvar2 |
Returns the mean and (asymptotic) variance of arc density of Proportional Edge Proximity Catch Digraph (PE-PCD) for 1D data - middle interval case |
| IarcASbasic.tri |
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 |
| IarcASset2pnt.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 |
| IarcAStri |
The indicator for the presence of an arc from a point to another for Arc Slice Proximity Catch Digraphs (AS-PCDs) - one 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) - first one-sixth of the standard equilateral 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 basic 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) - standard equilateral triangle case |
| IarcCSend.int |
The indicator for the presence of an arc from a point to another for Central Similarity Proximity Catch Digraphs (CS-PCDs) - end-interval case |
| IarcCSint |
The indicator for the presence of an arc from a point to another for Central Similarity Proximity Catch Digraphs (CS-PCDs) - one interval case |
| IarcCSmid.int |
The indicator for the presence of an arc from a point to another for Central Similarity Proximity Catch Digraphs (CS-PCDs) - middle interval 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) - standard equilateral triangle case |
| IarcCSset2pnt.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 |
| 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 |
| IarcCSstd.triRAB |
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 |
| IarcCSstd.triRAC |
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 |
| IarcCSstd.triRBC |
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 |
| IarcCSt1.std.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.triRAB |
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 |
| IarcCSt1.std.triRAC |
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 |
| IarcCSt1.std.triRBC |
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 |
| IarcCStri |
The indicator for the presence of an arc from one point to another for Central Similarity Proximity Catch Digraphs (CS-PCDs) |
| IarcCStri.alt |
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) |
| IarcPEbasic.tri |
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 |
| IarcPEend.int |
The indicator for the presence of an arc from a point to another for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - end-interval case |
| IarcPEint |
The indicator for the presence of an arc from a point to another for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one interval case |
| IarcPEmid.int |
The indicator for the presence of an arc from a point to another for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - middle interval case |
| IarcPEset2pnt.std.tri |
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.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 |
| IarcPEstd.tetra |
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.tri |
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 |
| IarcPEtetra |
The indicator for the presence of an arc from one 3D point to another 3D point for Proportional Edge Proximity Catch Digraphs (PE-PCDs) |
| IarcPEtri |
The indicator for the presence of an arc from a point to another for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one triangle case |
| Idom.num.up.bnd |
Indicator for an upper bound for the domination number by the exact algorithm |
| Idom.num1ASbasic.tri |
The indicator for a point being a dominating point for Arc Slice Proximity Catch Digraphs (AS-PCDs) - standard basic triangle case |
| Idom.num1AStri |
The indicator for a point being a dominating point for Arc Slice Proximity Catch Digraphs (AS-PCDs) - one triangle case |
| Idom.num1CS.Te.onesixth |
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.num1CSint |
The indicator for a point being a dominating point for Central Similarity Proximity Catch Digraphs (CS-PCDs) for an interval |
| Idom.num1CSstd.tri |
The indicator for a point being a dominating point for Central Similarity Proximity Catch Digraphs (CS-PCDs) - standard equilateral triangle case |
| Idom.num1CSt1std.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.num1PEbasic.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.num1PEint |
The indicator for a point being a dominating point for Proportional Edge Proximity Catch Digraphs (PE-PCDs) for an interval |
| Idom.num1PEstd.tetra |
The indicator for a 3D point being a dominating point for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - standard regular tetrahedron case |
| Idom.num1PEtetra |
The indicator for a 3D point being a dominating point for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one tetrahedron case |
| Idom.num1PEtri |
The indicator for a point being a dominating point for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one triangle case |
| Idom.num2ASbasic.tri |
The indicator for two points being a dominating set for Arc Slice Proximity Catch Digraphs (AS-PCDs) - standard basic triangle case |
| Idom.num2AStri |
The indicator for two points constituting a dominating set for Arc Slice Proximity Catch Digraphs (AS-PCDs) - one triangle case |
| Idom.num2CS.Te.onesixth |
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.num2CSstd.tri |
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 |
| Idom.num2PEbasic.tri |
The indicator for two points being a dominating set for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - standard basic triangle case |
| Idom.num2PEstd.tetra |
The indicator for two 3D points constituting a dominating set for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - standard regular tetrahedron case |
| Idom.num2PEtetra |
The indicator for two 3D points constituting a dominating set for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one tetrahedron case |
| Idom.num2PEtri |
The indicator for two points constituting a dominating set for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one triangle case |
| Idom.num3CSstd.tri |
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 |
| Idom.num3PEstd.tetra |
The indicator for three 3D points constituting a dominating set for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - standard regular tetrahedron case |
| Idom.num3PEtetra |
The indicator for three 3D points constituting a dominating set for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one tetrahedron case |
| Idom.num4CSstd.tri |
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 |
| Idom.num5CSstd.tri |
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 |
| Idom.num6CSstd.tri |
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 |
| Idom.numASup.bnd.tri |
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.numCSup.bnd.std.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.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.setAStri |
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.setCSstd.tri |
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.setCStri |
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.setPEstd.tri |
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.setPEtri |
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 |
| in.circle |
Check whether a point is inside a circle |
| in.tetrahedron |
Check whether a point is inside a tetrahedron |
| in.tri.all |
Check whether all points in a data set are inside the triangle |
| in.triangle |
Check whether a point is inside a triangle |
| inci.matAS |
Incidence matrix for Arc Slice Proximity Catch Digraphs (AS-PCDs) - multiple triangle case |
| inci.matAStri |
Incidence matrix for Arc Slice Proximity Catch Digraphs (AS-PCDs) - one triangle case |
| inci.matCS |
Incidence matrix for Central Similarity Proximity Catch Digraphs (CS-PCDs) - multiple triangle case |
| inci.matCS1D |
Incidence matrix for Central Similarity Proximity Catch Digraphs (CS-PCDs) for 1D data - multiple interval case |
| inci.matCSint |
Incidence matrix for Central Similarity Proximity Catch Digraphs (CS-PCDs) for 1D data - one interval case |
| inci.matCSstd.tri |
Incidence matrix for Central Similarity Proximity Catch Digraphs (CS-PCDs) - standard equilateral triangle case |
| inci.matCStri |
Incidence matrix for Central Similarity Proximity Catch Digraphs (CS-PCDs) - one triangle case |
| inci.matPE |
Incidence matrix for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - multiple triangle case |
| inci.matPE1D |
Incidence matrix for Proportional-Edge Proximity Catch Digraphs (PE-PCDs) for 1D data - multiple interval case |
| inci.matPEint |
Incidence matrix for Proportional-Edge Proximity Catch Digraphs (PE-PCDs) for 1D data - one interval case |
| inci.matPEstd.tri |
Incidence matrix for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - standard equilateral triangle case |
| inci.matPEtetra |
Incidence matrix for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one tetrahedron case |
| inci.matPEtri |
Incidence matrix for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one triangle case |
| index.delaunay.tri |
Functions provide the indices of the Delaunay triangles where the points reside |
| index.six.Te |
Region index inside the Gamma-1 region |
| indices.delaunay.tri |
Functions provide the indices of the Delaunay triangles where the points reside |
| intersect.line.circle |
The points of intersection of a line and a circle |
| intersect.line.plane |
The point of intersection of a line and a plane |
| intersect2lines |
The point of intersection of two lines defined by two pairs of points |
| interval.indices.set |
Indices of the intervals where the 1D point(s) reside |
| is.in.data |
Check a point belong to a given data set |
| is.point |
Check the argument is a point of a given dimension |
| is.std.eq.tri |
Check whether a triangle is a standard equilateral triangle |
| NASbasic.tri |
The vertices of the Arc Slice (AS) Proximity Region in the standard basic triangle |
| NAStri |
The vertices of the Arc Slice (AS) Proximity Region in a general triangle |
| NCSint |
The end points of the Central Similarity (CS) Proximity Region for a point - one interval case |
| NCStri |
The vertices of the Central Similarity (CS) Proximity Region in a general triangle |
| NPEbasic.tri |
The vertices of the Proportional Edge (PE) Proximity Region in a standard basic triangle |
| NPEint |
The end points of the Proportional Edge (PE) Proximity Region for a point - one interval case |
| NPEstd.tetra |
The vertices of the Proportional Edge (PE) Proximity Region in the standard regular tetrahedron |
| NPEtetra |
The vertices of the Proportional Edge (PE) Proximity Region in a tetrahedron |
| NPEtri |
The vertices of the Proportional Edge (PE) Proximity Region in a general triangle |
| num.arcsAS |
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.arcsAStri |
Number of arcs of Arc Slice Proximity Catch Digraphs (AS-PCDs) and quantities related to the triangle - one 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 Delaunay triangles - multiple triangle case |
| num.arcsCS1D |
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.arcsCSend.int |
Number of arcs of Central Similarity Proximity Catch Digraphs (CS-PCDs) - end-interval case |
| num.arcsCSint |
Number of arcs of Central Similarity Proximity Catch Digraphs (CS-PCDs) and quantities related to the interval - one interval case |
| num.arcsCSmid.int |
Number of Arcs of of Central Similarity Proximity Catch Digraphs (CS-PCDs) - middle interval case |
| num.arcsCSstd.tri |
Number of arcs of Central Similarity Proximity Catch Digraphs (CS-PCDs) and quantities related to the triangle - standard equilateral triangle case |
| num.arcsCStri |
Number of arcs of Central Similarity Proximity Catch Digraphs (CS-PCDs) and quantities related to the triangle - one 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 Delaunay triangles - multiple triangle case |
| num.arcsPE1D |
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.arcsPEend.int |
Number of arcs of Proportional Edge Proximity Catch Digraphs (PE-PCDs) - end-interval case |
| num.arcsPEint |
Number of arcs of Proportional Edge Proximity Catch Digraphs (PE-PCDs) and quantities related to the interval - one interval case |
| num.arcsPEmid.int |
Number of Arcs for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - middle interval case |
| num.arcsPEstd.tri |
Number of arcs of Proportional Edge Proximity Catch Digraphs (PE-PCDs) and quantities related to the triangle - standard equilateral triangle case |
| num.arcsPEtetra |
Number of arcs of Proportional Edge Proximity Catch Digraphs (PE-PCDs) and quantities related to the tetrahedron - one tetrahedron case |
| num.arcsPEtri |
Number of arcs of Proportional Edge Proximity Catch Digraphs (PE-PCDs) and quantities related to the triangle - one triangle case |
| num.delaunay.tri |
Number of Delaunay triangles based on a 2D data set |
| paraline |
The line at a point 'p' parallel to the line segment joining two distinct 2D points 'a' and 'b' |
| paraline3D |
The line crossing the 3D point 'p' and parallel to line joining 3D points 'a' and 'b' |
| paraplane |
The plane at a point and parallel to the plane spanned by three distinct 3D points 'a', 'b', and 'c' |
| pcds |
pcds: A package for Proximity Catch Digraphs and Their Applications |
| Pdom.num2A |
The functions for probability of domination number = 2 for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - middle interval case |
| Pdom.num2AI |
The functions for probability of domination number = 2 for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - middle interval case |
| Pdom.num2AII |
The functions for probability of domination number = 2 for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - middle interval case |
| Pdom.num2AIII |
The functions for probability of domination number = 2 for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - middle interval case |
| Pdom.num2AIV |
The functions for probability of domination number = 2 for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - middle interval case |
| Pdom.num2Asym |
The functions for probability of domination number = 2 for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - middle interval case |
| Pdom.num2B |
The functions for probability of domination number = 2 for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - middle interval case |
| Pdom.num2BIII |
The functions for probability of domination number = 2 for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - middle interval case |
| Pdom.num2Bsym |
The functions for probability of domination number = 2 for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - middle interval case |
| Pdom.num2C |
The functions for probability of domination number = 2 for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - middle interval case |
| Pdom.num2CIV |
The functions for probability of domination number = 2 for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - middle interval case |
| Pdom.num2Csym |
The functions for probability of domination number = 2 for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - middle interval case |
| Pdom.num2PE1D |
The functions for probability of domination number = 2 for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - middle interval case |
| Pdom.num2PE1Dasy |
The asymptotic probability of domination number = 2 for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - middle interval case |
| Pdom.num2PEtri |
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 |
| PEarc.dens.test |
A test of segregation/association based on arc density of Proportional Edge Proximity Catch Digraph (PE-PCD) for 2D data |
| PEarc.dens.test.int |
A test of uniformity of 1D data in a given interval based on Proportional Edge Proximity Catch Digraph (PE-PCD) |
| PEarc.dens.test1D |
A test of segregation/association based on arc density of Proportional Edge Proximity Catch Digraph (PE-PCD) for 1D data |
| PEarc.dens.tetra |
Arc density of Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one tetrahedron case |
| PEarc.dens.tri |
Arc density of Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one triangle case |
| PEdom.num |
The domination number of Proportional Edge Proximity Catch Digraph (PE-PCD) - multiple triangle case |
| PEdom.num.binom.test |
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.test1D |
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.test1Dint |
A test of uniformity for 1D data based on domination number of Proportional Edge Proximity Catch Digraph (PE-PCD) - Binomial Approximation |
| PEdom.num.nondeg |
The domination number of Proportional Edge Proximity Catch Digraph (PE-PCD) with non-degeneracy centers - multiple triangle case |
| PEdom.num.norm.test |
A test of segregation/association based on domination number of Proportional Edge Proximity Catch Digraph (PE-PCD) for 2D data - Normal Approximation |
| PEdom.num.tetra |
The domination number of Proportional Edge Proximity Catch Digraph (PE-PCD) - one tetrahedron case |
| PEdom.num.tri |
The domination number of Proportional Edge Proximity Catch Digraph (PE-PCD) - one triangle case |
| PEdom.num1D |
The domination number of Proportional Edge Proximity Catch Digraph (PE-PCD) for 1D data |
| PEdom.num1Dnondeg |
The domination number of Proportional Edge Proximity Catch Digraph (PE-PCD) with non-degeneracy centers - multiple interval case |
| perpline |
The line passing through a point and perpendicular to the line segment joining two points |
| perpline2plane |
The line crossing the 3D point 'p' and perpendicular to the plane spanned by 3D points 'a', 'b', and 'c' |
| Plane |
The plane passing through three distinct 3D points 'a', 'b', and 'c' |
| plot.Extrema |
Plot an 'Extrema' 'object' |
| plot.Lines |
Plot a 'Lines' 'object' |
| plot.Lines3D |
Plot a 'Lines3D' 'object' |
| plot.NumArcs |
Plot a 'NumArcs' 'object' |
| plot.Patterns |
Plot a 'Patterns' 'object' |
| plot.PCDs |
Plot a 'PCDs' 'object' |
| plot.Planes |
Plot a 'Planes' 'object' |
| plot.TriLines |
Plot a 'TriLines' 'object' |
| plot.Uniform |
Plot a 'Uniform' 'object' |
| plotASarcs |
The plot of the arcs of Arc Slice Proximity Catch Digraph (AS-PCD) for a 2D data set - multiple triangle case |
| plotASarcs.tri |
The plot of the arcs of Arc Slice Proximity Catch Digraph (AS-PCD) for a 2D data set - one triangle case |
| plotASregs |
The plot of the Arc Slice (AS) Proximity Regions for a 2D data set - multiple triangle case |
| plotASregs.tri |
The plot of the Arc Slice (AS) Proximity Regions for a 2D data set - one triangle case |
| plotCSarcs |
The plot of the arcs of Central Similarity Proximity Catch Digraph (CS-PCD) for a 2D data set - multiple triangle case |
| plotCSarcs.int |
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.tri |
The plot of the arcs of Central Similarity Proximity Catch Digraph (CS-PCD) for a 2D data set - one triangle case |
| plotCSarcs1D |
The plot of the arcs of Central Similarity Proximity Catch Digraphs (CS-PCDs) for 1D data (vertices jittered along y-coordinate) - multiple interval case |
| plotCSregs |
The plot of the Central Similarity (CS) Proximity Regions for a 2D data set - multiple triangle case |
| plotCSregs.int |
The plot of the Central Similarity (CS) Proximity Regions for a general interval (vertices jittered along y-coordinate) - one interval case |
| plotCSregs.tri |
The plot of the Central Similarity (CS) Proximity Regions for a 2D data set - one triangle case |
| plotCSregs1D |
The plot of the Central Similarity (CS) Proximity Regions (vertices jittered along y-coordinate) - multiple interval case |
| plotDelaunay.tri |
The scatterplot of points from one class and plot of the Delaunay triangulation of the other class |
| plotIntervals |
The plot of the subintervals based on 'Yp' points together with 'Xp' points |
| plotPEarcs |
The plot of the arcs of Proportional Edge Proximity Catch Digraph (PE-PCD) for a 2D data set - multiple triangle case |
| plotPEarcs.int |
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.tri |
The plot of the arcs of Proportional Edge Proximity Catch Digraph (PE-PCD) for a 2D data set - one triangle case |
| plotPEarcs1D |
The plot of the arcs of Proportional Edge Proximity Catch Digraphs (PE-PCDs) for 1D data (vertices jittered along y-coordinate) - multiple interval case |
| plotPEregs |
The plot of the Proportional Edge (PE) Proximity Regions for a 2D data set - multiple triangle case |
| plotPEregs.int |
The plot of the Proportional Edge (PE) Proximity Regions for a general interval (vertices jittered along y-coordinate) - one interval case |
| plotPEregs.std.tetra |
The plot of the Proportional Edge (PE) Proximity Regions for a 3D data set - standard regular tetrahedron case |
| plotPEregs.tetra |
The plot of the Proportional Edge (PE) Proximity Regions for a 3D data set - one tetrahedron case |
| plotPEregs.tri |
The plot of the Proportional Edge (PE) Proximity Regions for a 2D data set - one triangle case |
| plotPEregs1D |
The plot of the Proportional Edge (PE) Proximity Regions (vertices jittered along y-coordinate) - multiple interval case |
| print.Extrema |
Print a 'Extrema' 'object' |
| print.Lines |
Print a 'Lines' 'object' |
| print.Lines3D |
Print a 'Lines3D' 'object' |
| print.NumArcs |
Print a 'NumArcs' 'object' |
| print.Patterns |
Print a 'Patterns' 'object' |
| print.PCDs |
Print a 'PCDs' 'object' |
| print.Planes |
Print a 'Planes' 'object' |
| print.summary.Extrema |
Print a summary of a 'Extrema' 'object' |
| print.summary.Lines |
Print a summary of a 'Lines' 'object' |
| print.summary.Lines3D |
Print a summary of a 'Lines3D' 'object' |
| print.summary.NumArcs |
Print a summary of a 'NumArcs' 'object' |
| print.summary.Patterns |
Print a summary of a 'Patterns' 'object' |
| print.summary.PCDs |
Print a summary of a 'PCDs' 'object' |
| print.summary.Planes |
Print a summary of a 'Planes' 'object' |
| print.summary.TriLines |
Print a summary of a 'TriLines' 'object' |
| print.summary.Uniform |
Print a summary of a 'Uniform' 'object' |
| print.TriLines |
Print a 'TriLines' 'object' |
| print.Uniform |
Print a 'Uniform' 'object' |
| prj.cent2edges |
Projections of a point inside a triangle to its edges |
| prj.cent2edges.basic.tri |
Projections of a point inside the standard basic triangle form to its edges |
| prj.nondegPEcent2edges |
Projections of Centers for non-degenerate asymptotic distribution of domination number of Proportional Edge Proximity Catch Digraphs (PE-PCDs) to its edges |
| radii |
The radii of points from one class with respect to points from the other class |
| radius |
The radius of a point from one class with respect to points from the other class |
| rank.dist2edges.std.tri |
Returns the ranks and orders of points in decreasing distance to the edges of the triangle |
| rassoc.circular |
Generation of points associated (in a radial or circular fashion) with a given set of points |
| rassoc.matern |
Generation of points associated (in a Matern-like fashion) to a given set of points |
| rassoc.multi.tri |
Generation of points associated (in a Type I fashion) with a given set of points |
| rassoc.std.tri |
Generation of points associated (in a Type I fashion) with the vertices of T_e |
| rassoc.tri |
Generation of points associated (in a Type I fashion) with the vertices of a triangle |
| rassocII.std.tri |
Generation of points associated (in a Type II fashion) with the edges of T_e |
| rel.edge.basic.tri |
The index of the edge region in a standard basic triangle form that contains a point |
| rel.edge.basic.triCM |
The index of the CM-edge region in a standard basic triangle form that contains a point |
| rel.edge.std.triCM |
The index of the edge region in the standard equilateral triangle that contains a point |
| rel.edge.tri |
The index of the edge region in a triangle that contains the point |
| rel.edge.triCM |
The index of the CM-edge region in a triangle that contains the point |
| rel.edges.tri |
The indices of the 'M'-edge regions in a triangle that contains the points in a give data set |
| rel.edges.triCM |
The indices of the CM-edge regions in a triangle that contains the points in a give data set |
| rel.vert.basic.tri |
The index of the vertex region in a standard basic triangle form that contains a given point |
| rel.vert.basic.triCC |
The index of the CC-vertex region in a standard basic triangle form that contains a point |
| rel.vert.basic.triCM |
The index of the CM-vertex region in a standard basic triangle form that contains a point |
| rel.vert.end.int |
The index of the vertex region in an end-interval that contains a given point |
| rel.vert.mid.int |
The index of the vertex region in a middle interval that contains a given point |
| rel.vert.std.tri |
The index of the vertex region in the standard equilateral triangle that contains a given point |
| rel.vert.std.triCM |
The index of the CM-vertex region in the standard equilateral triangle that contains a given point |
| rel.vert.tetraCC |
The index of the CC-vertex region in a tetrahedron that contains a point |
| rel.vert.tetraCM |
The index of the CM-vertex region in a tetrahedron that contains a point |
| rel.vert.tri |
The index of the vertex region in a triangle that contains a given point |
| rel.vert.triCC |
The index of the CC-vertex region in a triangle that contains a point |
| rel.vert.triCM |
The index of the CM-vertex region in a triangle that contains a given point |
| 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 vertex regions in a triangle that contains the points in a give data set |
| rel.verts.triCC |
The indices of the CC-vertex regions in a triangle that contains the points in a give data set. |
| rel.verts.triCM |
The indices of the CM-vertex regions in a triangle that contains the points in a give data set |
| rel.verts.triM |
The alternative function for the indices of the M-vertex regions in a triangle that contains the points in a give data set |
| rseg.circular |
Generation of points segregated (in a radial or circular fashion) from a given set of points |
| rseg.multi.tri |
Generation of points segregated (in a Type I fashion) from a given set of points |
| rseg.std.tri |
Generation of points segregated (in a Type I fashion) from the vertices of T_e |
| rseg.tri |
Generation of points segregated (in a Type I fashion) from the vertices of a triangle |
| rsegII.std.tri |
Generation of points segregated (in a Type II fashion) from the vertices of T_e |
| runif.basic.tri |
Generation of Uniform Points in the standard basic triangle |
| runif.multi.tri |
Generation of Uniform Points in the Convex Hull of Points |
| runif.std.tetra |
Generation of Uniform Points in the Standard Regular Tetrahedron T_h |
| runif.std.tri |
Generation of Uniform Points in the Standard Equilateral Triangle |
| runif.std.tri.onesixth |
Generation of Uniform Points in the first one-sixth of standard equilateral triangle |
| runif.tetra |
Generation of Uniform Points in a tetrahedron |
| runif.tri |
Generation of Uniform Points in a Triangle |
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