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.bas.tri |
The labels of the vertices of a triangle in the basic triangle form |
ASarcdens.tri |
Arc density of Arc Slice Proximity Catch Digraphs (AS-PCDs) - one triangle case |
asyvarCS1D |
Returning the mean and (asymptotic) variance of arc density of Central Similarity Proximity Catch Digraph (CS-PCD) for 1D data - middle interval case |
asyvarCS2D |
Returns the mean and (asymptotic) variance of arc density of Central Similarity Proximity Catch Digraph (CS-PCD) for 2D uniform data in one triangle |
asyvarCSend.int |
Returns the mean and (asymptotic) variance of arc density of Central Similarity Proximity Catch Digraph (CS-PCD) for 1D data - end interval case |
asyvarPE1D |
Returns the mean and (asymptotic) variance of arc density of Proportional Edge Proximity Catch Digraph (PE-PCD) for 1D data - middle interval case |
asyvarPE2D |
Returns the mean and (asymptotic) variance of arc density of Proportional Edge Proximity Catch Digraph (PE-PCD) for 2D uniform data in one triangle |
asyvarPEend.int |
Returns the mean and (asymptotic) variance of arc density of Proportional Edge Proximity Catch Digraph (PE-PCD) for 1D data - end interval case |
cart2bary |
Converts of a point in Cartesian coordinates to Barycentric coordinates and vice versa |
cent.ndPE2edges |
Projections of Centers for non-degenerate asymptotic distribution of domination number of Proportional Edge Proximity Catch Digraphs (PE-PCDs) to its edges |
cent.nondegPE |
Centers for non-degenerate asymptotic distribution of domination number of Proportional Edge Proximity Catch Digraphs (PE-PCDs) |
cent2edges.bas.tri |
Projections of a point inside the standard basic triangle form to its edges |
cent2edges.tri |
Projections of a point inside a triangle to its edges |
centersMc |
Parameterized centers of intervals |
centMc |
Parameterized center of an interval |
circ.cent.bas.tri |
Circumcenter of a standard basic triangle form |
circ.cent.tetra |
Circumcenter of a general tetrahedron |
circ.cent.tri |
Circumcenter of a general triangle |
cl2CC.VR |
The closest points to circumcenter in each CC-vertex region in a triangle |
cl2CC.VRbas.tri |
The closest points to circumcenter in each CC-vertex region in a standard basic triangle |
cl2edges.std.tri |
The closest points in a data set to edges in the standard equilateral triangle |
cl2edgesCC_VR |
The closest points in a data set to edges in each CC-vertex region in a triangle |
cl2edgesCM_VR |
The closest points in a data set to edges in each CM-vertex region in a triangle |
cl2edgesM_VR |
The closest points among a data set in the vertex regions to the respective edges in a triangle |
cl2edgesVRbas.tri |
The closest points among a data set in the vertex regions to the corresponding edges in a standard basic triangle |
cl2facesVRtetra |
The closest points among a data set in the vertex regions to the respective faces in a tetrahedron |
cl2Mc.int |
The closest points to center in each vertex region in an interval |
CSarcdens.tri |
Arc density of Central Similarity Proximity Catch Digraphs (CS-PCDs) - one triangle case |
fr2edgesCM_ERstd.tri |
The furthest points in a data set from edges in each CM-edge region in the standard equilateral triangle |
fr2vertsCC_VR |
The furthest points in a data set from vertices in each CC-vertex region in a triangle |
fr2vertsCC_VRbas.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 'GamkCSTe' 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 |
funsPG2PE1D |
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 'lD1CCinTb' and 'lD2CCinTb' 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 |
Gam1ASbas.tri |
The indicator for a point being a dominating point for Arc Slice Proximity Catch Digraphs (AS-PCDs) - standard basic triangle case |
Gam1AStri |
The indicator for a point being a dominating point for Arc Slice Proximity Catch Digraphs (AS-PCDs) - one triangle case |
Gam1CS.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 |
Gam1CSint |
The indicator for a point being a dominating point for Central Similarity Proximity Catch Digraphs (CS-PCDs) for an interval |
Gam1CSTe |
The indicator for a point being a dominating point for Central Similarity Proximity Catch Digraphs (CS-PCDs) - standard equilateral triangle case |
Gam1CSTet1 |
The indicator for a point being a dominating point for Central Similarity Proximity Catch Digraphs (CS-PCDs) - standard equilateral triangle case with t=1 |
Gam1PEbas.tri |
The indicator for a point being a dominating point or not for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - standard basic triangle case |
Gam1PEint |
The indicator for a point being a dominating point for Proportional Edge Proximity Catch Digraphs (PE-PCDs) for an interval |
Gam1PEstdTetra |
The indicator for a 3D point being a dominating point for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - standard regular tetrahedron case |
Gam1PEtetra |
The indicator for a 3D point being a dominating point for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one tetrahedron case |
Gam1PEtri |
The indicator for a point being a dominating point for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one triangle case |
Gam2ASbas.tri |
The indicator for two points being a dominating set for Arc Slice Proximity Catch Digraphs (AS-PCDs) - standard basic triangle case |
Gam2AStri |
The indicator for two points constituting a dominating set for Arc Slice Proximity Catch Digraphs (AS-PCDs) - one triangle case |
Gam2CS.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 |
Gam2CSTe |
The function 'GamkCSTe' 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 |
Gam2PEbas.tri |
The indicator for two points being a dominating set for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - standard basic triangle case |
Gam2PEstdTetra |
The indicator for two 3D points constituting a dominating set for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - standard regular tetrahedron case |
Gam2PEtetra |
The indicator for two 3D points constituting a dominating set for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one tetrahedron case |
Gam2PEtri |
The indicator for two points constituting a dominating set for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one triangle case |
Gam3CSTe |
The function 'GamkCSTe' 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 |
Gam3PEstdTetra |
The indicator for three 3D points constituting a dominating set for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - standard regular tetrahedron case |
Gam3PEtetra |
The indicator for three 3D points constituting a dominating set for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one tetrahedron case |
Gam4CSTe |
The function 'GamkCSTe' 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 |
Gam5CSTe |
The function 'GamkCSTe' 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 |
Gam6CSTe |
The function 'GamkCSTe' 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 |
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 |
IncMatAS |
Incidence matrix for Arc Slice Proximity Catch Digraphs (AS-PCDs) - multiple triangle case |
IncMatAStri |
Incidence matrix for Arc Slice Proximity Catch Digraphs (AS-PCDs) - one triangle case |
IncMatCS |
Incidence matrix for Central Similarity Proximity Catch Digraphs (CS-PCDs) - multiple triangle case |
IncMatCS1D |
Incidence matrix for Central Similarity Proximity Catch Digraphs (CS-PCDs) for 1D data - multiple interval case |
IncMatCSint |
Incidence matrix for Central Similarity Proximity Catch Digraphs (CS-PCDs) for 1D data - one interval case |
IncMatCSTe |
Incidence matrix for Central Similarity Proximity Catch Digraphs (CS-PCDs) - standard equilateral triangle case |
IncMatCStri |
Incidence matrix for Central Similarity Proximity Catch Digraphs (CS-PCDs) - one triangle case |
IncMatPE |
Incidence matrix for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - multiple triangle case |
IncMatPE1D |
Incidence matrix for Proportional-Edge Proximity Catch Digraphs (PE-PCDs) for 1D data - multiple interval case |
IncMatPEint |
Incidence matrix for Proportional-Edge Proximity Catch Digraphs (PE-PCDs) for 1D data - one interval case |
IncMatPETe |
Incidence matrix for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - standard equilateral triangle case |
IncMatPEtetra |
Incidence matrix for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one tetrahedron case |
IncMatPEtri |
Incidence matrix for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one triangle case |
ind.del.tri |
Functions provide the indices of the Delaunay triangles where the points reside |
ind.int.set |
Indices of the intervals where the 1D point(s) reside |
IndASdomUBtri |
Indicator for an upper bound for the domination number of Arc Slice Proximity Catch Digraph (AS-PCD) by the exact algorithm - one triangle case |
indices.del.tri |
Functions provide the indices of the Delaunay triangles where the points reside |
IndNASbas.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 |
IndNAStri |
The indicator for the presence of an arc from a point to another for Arc Slice Proximity Catch Digraphs (AS-PCDs) - one triangle case |
IndNAStri.domset |
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 |
IndNAStriSet |
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 |
IndNCS.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 |
IndNCSbas.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 |
IndNCSdomUBTe |
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 |
IndNCSdomUBtri |
Indicator for an upper bound for the domination number of Central Similarity Proximity Catch Digraph (CS-PCD) by the exact algorithm - one triangle case |
IndNCSedge.regTe |
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 |
IndNCSend.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 |
IndNCSint |
The indicator for the presence of an arc from a point to another for Central Similarity Proximity Catch Digraphs (CS-PCDs) - one interval case |
IndNCSmid.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 |
IndNCSTe |
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 |
IndNCSTe.domset |
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 |
IndNCSTeRAB |
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 |
IndNCSTeRABt1 |
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 |
IndNCSTeRAC |
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 |
IndNCSTeRACt1 |
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 |
IndNCSTeRBC |
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 |
IndNCSTeRBCt1 |
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 |
IndNCSTeSet |
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 |
IndNCSTet1 |
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 |
IndNCStri |
The indicator for the presence of an arc from one point to another for Central Similarity Proximity Catch Digraphs (CS-PCDs) |
IndNCStri.alt |
An alternative to the function 'IndNCStri' which yields the indicator for the presence of an arc from one point to another for Central Similarity Proximity Catch Digraphs (CS-PCDs) |
IndNCStri.domset |
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 |
IndNCStriSet |
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 |
IndNPEbas.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 |
IndNPEend.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 |
IndNPEint |
The indicator for the presence of an arc from a point to another for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one interval case |
IndNPEmid.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 |
IndNPEstd.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 |
IndNPETe |
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 |
IndNPETe.domset |
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 |
IndNPETeSet |
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) - standard equilateral triangle case |
IndNPEtetra |
The indicator for the presence of an arc from one 3D point to another 3D point for Proportional Edge Proximity Catch Digraphs (PE-PCDs) |
IndNPEtri |
The indicator for the presence of an arc from a point to another for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one triangle case |
IndNPEtri.domset |
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 |
IndNPEtriSet |
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 |
IndUBdom |
Indicator for an upper bound for the domination number by the exact algorithm |
int.2lines |
The point of intersection of two lines defined by two pairs of points |
int.circ.line |
The points of intersection of a line and a circle |
int.line.plane |
The point of intersection of a line and a plane |
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 |
NASbas.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 |
NPEbas.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.del.tri |
Number of Delaunay triangles based on a 2D data set |
NumArcsAS |
Number of arcs of Arc Slice Proximity Catch Digraphs (AS-PCDs) - multiple triangle case |
NumArcsAStri |
Number of arcs of Arc Slice Proximity Catch Digraphs (AS-PCDs) - one triangle case |
NumArcsCS |
Number of arcs of Central Similarity Proximity Catch Digraphs (CS-PCDs) - multiple triangle case |
NumArcsCS1D |
Number of arcs of Central Similarity Proximity Catch Digraphs (CS-PCDs) for 1D data - multiple interval case |
NumArcsCSend.int |
Number of arcs of Central Similarity Proximity Catch Digraphs (CS-PCDs) - end interval case |
NumArcsCSint |
Number of arcs of Central Similarity Proximity Catch Digraphs (CS-PCDs) - one interval case |
NumArcsCSmid.int |
Number of Arcs of of Central Similarity Proximity Catch Digraphs (CS-PCDs) - middle interval case |
NumArcsCSTe |
Number of arcs of Central Similarity Proximity Catch Digraphs (CS-PCDs) - standard equilateral triangle case |
NumArcsCStri |
Number of arcs of Central Similarity Proximity Catch Digraphs (CS-PCDs) - one triangle case |
NumArcsPE |
Number of arcs and related quantities of Proportional Edge Proximity Catch Digraphs (PE-PCDs) - multiple triangle case |
NumArcsPE1D |
Number of arcs and related quantities of Proportional Edge Proximity Catch Digraphs (PE-PCDs) - multiple interval case |
NumArcsPEend.int |
Number of arcs of Proportional Edge Proximity Catch Digraphs (PE-PCDs) - end interval case |
NumArcsPEint |
Number of arcs of Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one interval case |
NumArcsPEmid.int |
Number of Arcs for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - middle interval case |
NumArcsPETe |
Number of arcs of Proportional Edge Proximity Catch Digraphs (PE-PCDs) - standard equilateral triangle case |
NumArcsPEtetra |
Number of arcs of Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one tetrahedron case |
NumArcsPEtri |
Number of arcs of Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one triangle case |
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 |
PEarcdens.tetra |
Arc density of Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one tetrahedron case |
PEarcdens.tri |
Arc density of Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one triangle case |
PEdom |
The domination number of Proportional Edge Proximity Catch Digraph (PE-PCD) - multiple triangle case |
PEdom.nd |
The domination number of Proportional Edge Proximity Catch Digraph (PE-PCD) with non-degeneracy centers - multiple triangle case |
PEdom1D |
The domination number of Proportional Edge Proximity Catch Digraph (PE-PCD) for 1D data |
PEdom1D.nd |
The domination number of Proportional Edge Proximity Catch Digraph (PE-PCD) with non-degeneracy centers - multiple interval case |
PEdomTetra |
The domination number of Proportional Edge Proximity Catch Digraph (PE-PCD) - one tetrahedron case |
PEdomTri |
The domination number of Proportional Edge Proximity Catch Digraph (PE-PCD) - one triangle 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' |
PG2A |
The functions for probability of domination number = 2 for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - middle interval case |
PG2AI |
The functions for probability of domination number = 2 for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - middle interval case |
PG2AII |
The functions for probability of domination number = 2 for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - middle interval case |
PG2AIII |
The functions for probability of domination number = 2 for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - middle interval case |
PG2AIV |
The functions for probability of domination number = 2 for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - middle interval case |
PG2Asym |
The functions for probability of domination number = 2 for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - middle interval case |
PG2B |
The functions for probability of domination number = 2 for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - middle interval case |
PG2BIII |
The functions for probability of domination number = 2 for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - middle interval case |
PG2Bsym |
The functions for probability of domination number = 2 for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - middle interval case |
PG2C |
The functions for probability of domination number = 2 for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - middle interval case |
PG2CIV |
The functions for probability of domination number = 2 for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - middle interval case |
PG2Csym |
The functions for probability of domination number = 2 for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - middle interval case |
PG2PE1D |
The functions for probability of domination number = 2 for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - middle interval case |
PG2PE1D.asy |
The asymptotic probability of domination number = 2 for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - middle interval case |
PG2PEtri |
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 |
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.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 |
plotDeltri |
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.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.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' |
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.d2e.Te |
Returns the ranks and orders of points in decreasing distance to the edges of the triangle |
rasc.circ |
Generation of points associated (in a radial or circular fashion) with a given set of points |
rasc.matern |
Generation of points associated (in a Matern-like fashion) to a given set of points |
rasc.std.tri |
Generation of points associated (in a Type I fashion) with the vertices of T_e |
rasc.tri |
Generation of points associated (in a Type I fashion) with the vertices of a triangle |
rascII.std.tri |
Generation of points associated (in a Type II fashion) with the edges of T_e |
rascMT |
Generation of points associated (in a Type I fashion) with a given set of points |
re.bas.tri.cent |
The index of the edge region in a standard basic triangle form that contains a point |
re.bas.triCM |
The index of the CM-edge region in a standard basic triangle form that contains a point |
re.tri.cent |
The index of the edge region in a triangle that contains the point |
re.triCM |
The index of the CM-edge region in a triangle that contains the point |
rel.edges.tri.cent |
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.six.Te |
Region index inside the Gamma-1 region |
rel.verts.tri.cent |
The indices of the vertex regions in a triangle that contains the points in a give data set |
rel.verts.tri.nd |
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 |
reTeCM |
The index of the edge region in the standard equilateral triangle that contains a point |
rseg.circ |
Generation of points segregated (in a radial or circular 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 |
rsegMT |
Generation of points segregated (in a Type I fashion) from a given set of points |
runif.bas.tri |
Generation of Uniform Points in the standard basic triangle |
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 |
runifMT |
Generation of Uniform Points in the Convex Hull of Points |
rv.bas.tri.cent |
The index of the vertex region in a standard basic triangle form that contains a given point |
rv.bas.triCC |
The index of the CC-vertex region in a standard basic triangle form that contains a point |
rv.bas.triCM |
The index of the CM-vertex region in a standard basic triangle form that contains a point |
rv.end.int |
The index of the vertex region in an end-interval that contains a given point |
rv.mid.int |
The index of the vertex region in a middle interval that contains a given point |
rv.tetraCC |
The index of the CC-vertex region in a tetrahedron that contains a point |
rv.tetraCM |
The index of the CM-vertex region in a tetrahedron that contains a point |
rv.tri.cent |
The index of the vertex region in a triangle that contains a given point |
rv.triCC |
The index of the CC-vertex region in a triangle that contains a point |
rv.triCM |
The index of the CM-vertex region in a triangle that contains a given point |
rvTe.cent |
The index of the vertex region in the standard equilateral triangle that contains a given point |
rvTeCM |
The index of the CM-vertex region in the standard equilateral triangle that contains a given point |