.onAttach               .onAttach start message
.onLoad                 .onLoad getOption package settings
ASarc.dens.tri          Arc density of Arc Slice Proximity Catch
                        Digraphs (AS-PCDs) - one triangle case
CSarc.dens.test         A test of segregation/association based on arc
                        density of Central Similarity Proximity Catch
                        Digraph (CS-PCD) for 2D data
CSarc.dens.test.int     A test of uniformity of 1D data in a given
                        interval based on Central Similarity Proximity
                        Catch Digraph (CS-PCD)
CSarc.dens.test1D       A test of segregation/association based on arc
                        density of Central Similarity Proximity Catch
                        Digraph (CS-PCD) for 1D data
CSarc.dens.tri          Arc density of Central Similarity Proximity
                        Catch Digraphs (CS-PCDs) - one triangle case
Dist                    The distance between two vectors, matrices, or
                        data frames
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
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
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.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.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.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
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)
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
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
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
Plane                   The plane passing through three distinct 3D
                        points 'a', 'b', and 'c'
Xin.convex.hullY        Points from one class inside the convex hull of
                        the points from the other class
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
center.nondegPE         Centers for non-degenerate asymptotic
                        distribution of domination number of
                        Proportional Edge Proximity Catch Digraphs
                        (PE-PCDs)
centerMc                Parameterized center of an interval
centersMc               Parameterized centers of intervals
circumcenter.basic.tri
                        Circumcenter of a standard basic triangle form
circumcenter.tetra      Circumcenter of a general tetrahedron
circumcenter.tri        Circumcenter of a general triangle
cl2CCvert.reg           The closest points to circumcenter in each
                        CC-vertex region in a triangle
cl2CCvert.reg.basic.tri
                        The closest points to circumcenter in each
                        CC-vertex region in a standard basic triangle
cl2Mc.int               The closest points to center in each vertex
                        region in an interval
cl2edges.std.tri        The closest points in a data set to edges in
                        the standard equilateral triangle
cl2edges.vert.reg.basic.tri
                        The closest points among a data set in the
                        vertex regions to the corresponding edges in a
                        standard basic triangle
cl2edgesCCvert.reg      The closest points in a data set to edges in
                        each CC-vertex region in a triangle
cl2edgesCMvert.reg      The closest points in a data set to edges in
                        each CM-vertex region in a triangle
cl2edgesMvert.reg       The closest points among a data set in the
                        vertex regions to the respective edges in a
                        triangle
cl2faces.vert.reg.tetra
                        The closest points among a data set in the
                        vertex regions to the respective faces in a
                        tetrahedron
dimension               The dimension of a 'vector' or matrix or a data
                        frame
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.num.exact           Exact domination number (i.e., domination
                        number by the exact algorithm)
dom.num.greedy          Approximate domination number and approximate
                        dominating set by the greedy algorithm
edge.reg.triCM          The vertices of the CM-edge region in a
                        triangle that contains the point
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
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
funsCartBary            Converts of a point in Cartesian coordinates to
                        Barycentric coordinates and vice versa
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.
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.six.Te            Region index inside the Gamma-1 region
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
kfr2vertsCCvert.reg     The 'k' furthest points in a data set from
                        vertices in each CC-vertex region in a triangle
kfr2vertsCCvert.reg.basic.tri
                        The 'k' furthest points from vertices in each
                        CC-vertex region in a standard basic 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-package            pcds: A package for Proximity Catch Digraphs
                        and Their Applications
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'
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.PCDs               Plot a 'PCDs' 'object'
plot.Patterns           Plot a 'Patterns' '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.PCDs              Print a 'PCDs' 'object'
print.Patterns          Print a 'Patterns' 'object'
print.Planes            Print a 'Planes' 'object'
print.TriLines          Print a 'TriLines' 'object'
print.Uniform           Print a 'Uniform' '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.PCDs      Print a summary of a 'PCDs' 'object'
print.summary.Patterns
                        Print a summary of a 'Patterns' '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'
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
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
seg.tri.support         The auxiliary triangle to define the support of
                        type I segregation
six.extremaTe           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.NumArcs         Return a summary of a 'NumArcs' 'object'
summary.PCDs            Return a summary of a 'PCDs' 'object'
summary.Patterns        Return a summary of a 'Patterns' '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
tri2std.basic.tri       Converting a triangle to the standard basic
                        triangle form form
