Proximity Catch Digraphs and Their Applications


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Documentation for package ‘pcds’ version 0.1.6

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A B C D E F G I K L M N O P R S T X misc

-- A --

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

-- B --

bary2cart Converts of a point in Cartesian coordinates to Barycentric coordinates and vice versa

-- C --

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

-- D --

dimension The dimension of a 'vector' or matrix or a data frame
Dist The distance between two vectors, matrices, or data frames
dist.point2line The distance from a point to a line defined by two points
dist.point2plane The distance from a point to a plane spanned by three 3D points
dist.point2set Distance from a point to a set of finite cardinality
dom.exact Exact domination number (i.e., domination number by the exact algorithm)
dom.greedy Approximate domination number and approximate dominating set by the greedy algorithm

-- E --

edge.reg.triCM The vertices of the CM-edge region in a triangle that contains the point

-- F --

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

-- G --

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

-- I --

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

-- K --

kfr2vertsCC_VR The 'k' furthest points in a data set from vertices in each CC-vertex region in a triangle
kfr2vertsCC_VRbas.tri The 'k' furthest points from vertices in each CC-vertex region in a standard basic triangle

-- L --

lA_CM.Te The lines joining two vertices to the center of mass in standard equilateral triangle
lA_M.Te The lines joining the three vertices of the standard equilateral triangle to a center, 'M', of it
lB_CM.Te The lines joining two vertices to the center of mass in standard equilateral triangle
lB_M.Te The lines joining the three vertices of the standard equilateral triangle to a center, 'M', of it
lC_M.Te The lines joining the three vertices of the standard equilateral triangle to a center, 'M', of it
lD1CCinTb 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.
lD2CCinTb 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.
Line The line joining two distinct 2D points 'a' and 'b'
Line3D The line crossing 3D point 'p' in the direction of 'vector' 'v' (or if 'v' is a point, in direction of v-r_0)

-- M --

mu1PE1D Returns the mean and (asymptotic) variance of arc density of Proportional Edge Proximity Catch Digraph (PE-PCD) for 1D data - middle interval case
muCS1D Returning the mean and (asymptotic) variance of arc density of Central Similarity Proximity Catch Digraph (CS-PCD) for 1D data - middle interval case
muCS2D Returns the mean and (asymptotic) variance of arc density of Central Similarity Proximity Catch Digraph (CS-PCD) for 2D uniform data in one triangle
muCSend.int Returns the mean and (asymptotic) variance of arc density of Central Similarity Proximity Catch Digraph (CS-PCD) for 1D data - end interval case
muPE1D Returns the mean and (asymptotic) variance of arc density of Proportional Edge Proximity Catch Digraph (PE-PCD) for 1D data - middle interval case
muPE2D Returns the mean and (asymptotic) variance of arc density of Proportional Edge Proximity Catch Digraph (PE-PCD) for 2D uniform data in one triangle
muPEend.int Returns the mean and (asymptotic) variance of arc density of Proportional Edge Proximity Catch Digraph (PE-PCD) for 1D data - end interval case
my_round The function to round to 'n' decimals or to the nearest non-zero decimal place, if rounding to 'n' yields zero.

-- N --

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

-- O --

order.d2e.Te Returns the ranks and orders of points in decreasing distance to the edges of the triangle

-- P --

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'

-- R --

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

-- S --

seg.tri.supp The auxiliary triangle to define the support of type I segregation
six.ext The closest points among a data set in the standard equilateral triangle to the median lines in the six half edge regions
slope The slope of a line
summary.Extrema Return a summary of a 'Extrema' 'object'
summary.Lines Return a summary of a 'Lines' 'object'
summary.Lines3D Return a summary of a 'Lines3D' 'object'
summary.Patterns Return a summary of a 'Patterns' 'object'
summary.PCDs Return a summary of a 'PCDs' 'object'
summary.Planes Return a summary of a 'Planes' 'object'
summary.TriLines Return a summary of a 'TriLines' 'object'
summary.Uniform Return a summary of a 'Uniform' 'object'
swamptrees Tree Species in a Swamp Forest

-- T --

tri2std.bas.tri Converting a triangle to the standard basic triangle form form
TSArcDensCS A test of segregation/association based on arc density of Central Similarity Proximity Catch Digraph (CS-PCD) for 2D data
TSArcDensCS1D A test of segregation/association based on arc density of Central Similarity Proximity Catch Digraph (CS-PCD) for 1D data
TSArcDensCSint A test of uniformity of 1D data in a given interval based on Central Similarity Proximity Catch Digraph (CS-PCD)
TSArcDensPE A test of segregation/association based on arc density of Proportional Edge Proximity Catch Digraph (PE-PCD) for 2D data
TSArcDensPE1D A test of segregation/association based on arc density of Proportional Edge Proximity Catch Digraph (PE-PCD) for 1D data
TSArcDensPEint A test of uniformity of 1D data in a given interval based on Proportional Edge Proximity Catch Digraph (PE-PCD)
TSDomPEBin A test of segregation/association based on domination number of Proportional Edge Proximity Catch Digraph (PE-PCD) for 2D data - Binomial Approximation
TSDomPEBin1D A test of segregation/association based on domination number of Proportional Edge Proximity Catch Digraph (PE-PCD) for 1D data - Binomial Approximation
TSDomPEBin1Dint A test of uniformity for 1D data based on domination number of Proportional Edge Proximity Catch Digraph (PE-PCD) - Binomial Approximation
TSDomPENorm A test of segregation/association based on domination number of Proportional Edge Proximity Catch Digraph (PE-PCD) for 2D data - Normal Approximation

-- X --

XinConvHullY Points from one class inside the convex hull of the points from the other class

-- misc --

.onAttach .onAttach start message
.onLoad .onLoad getOption package settings