| 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 |