pcds package - RDocumentation

ASarcdens.tri

Arc density of Arc Slice Proximity Catch Digraphs (AS-PCDs) - one triangle case

ArcsAStri

The arcs of Arc Slice Proximity Catch Digraph (AS-PCD) for 2D data - one triangle case

ArcsCSend1D

The arcs of Central Similarity Proximity Catch Digraph (CS-PCD) for 1D data - end interval case

ArcsCStri

The arcs of Central Similarity Proximity Catch Digraphs (CS-PCD) for 2D data - one triangle case

ArcsCS1D

The arcs of Central Similarity Proximity Catch Digraph (CS-PCD) for 1D data - multiple interval case

ArcsASMT

The arcs of Arc Slice Proximity Catch Digraph (AS-PCD) for a 2D data set - multiple triangle case

ArcsPE1D

The arcs of Proportional Edge Proximity Catch Digraph (PE-PCD) for 1D data - multiple interval case

ArcsCSMI

The arcs of Central Similarity Proximity Catch Digraph (CS-PCD) for 1D data - multiple interval case

ArcsCSmid1D

The arcs of Central Similarity Proximity Catch Digraph (CS-PCD) for 1D data - middle intervals case

ArcsCSMT

The arcs of Central Similarity Proximity Catch Digraph (CS-PCD) for 2D data - multiple triangle case

CSarcdens.tri

Arc density of Central Similarity Proximity Catch Digraphs (CS-PCDs) - one triangle case

Gam1CS1D

The indicator for a point being a dominating point for Central Similarity Proximity Catch Digraphs (CS-PCDs) for an interval

ArcsPEend1D

The arcs of Proportional Edge Proximity Catch Digraph (PE-PCD) for 1D data - end interval case

ArcsPEtri

The arcs of Proportional Edge Proximity Catch Digraph (PE-PCD) for 2D data - one triangle case

Gam1AStri

The indicator for a point being a dominating point for Arc Slice Proximity Catch Digraphs (AS-PCDs) - one triangle case

ArcsPEmid1D

The arcs of Proportional Edge Proximity Catch Digraph (PE-PCD) for 1D data - middle intervals case

Gam1PEstdTetra

The indicator for a 3D point being a dominating point for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - standard regular tetrahedron case

Gam1PEbastri

The indicator for a point being a dominating point or not for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - basic triangle case

Dist

The distance between two vectors, matrices, or data frames

Gam1PEtetra

The indicator for a 3D point being a dominating point 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

Gam1CSTet1

The indicator for a point being a dominating point for Central Similarity Proximity Catch Digraphs (CS-PCDs) - standard equilateral triangle case with \(t=1\)

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

Gam1PE1D

The indicator for a point being a dominating point for Proportional Edge Proximity Catch Digraphs (PE-PCDs) for an interval

IncMatPETe

Incidence matrix for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - standard equilateral triangle case

NPEint

The end points of the Proportional Edge (PE) Proximity Region for a point - one interval case

Gam1CSTe

The indicator for a point being a dominating point for Central Similarity Proximity Catch Digraphs (CS-PCDs) - standard equilateral triangle case

IncMatPEMT

Incidence matrix for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - multiple 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

Gam1ASbastri

The indicator for a point being a dominating point for Arc Slice Proximity Catch Digraphs (AS-PCDs) - basic triangle case

IndCSTe.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

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

Gam1PEtri

The indicator for a point being a dominating point for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one 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

Kfr2vTbVRCC

The k furthest points from vertices in each \(CC\)-vertex region in a basic triangle

IncMatCStri

Incidence matrix for Central Similarity Proximity Catch Digraphs (CS-PCDs) - one triangle case

IncMatPE1D

Incidence matrix for Proportional-Edge Proximity Catch Digraphs (PE-PCDs) for 1D data - multiple interval case

centMc

Parameterized center of an interval

IndNASbastri

The indicator for the presence of an arc from a point to another for Arc Slice Proximity Catch Digraphs (AS-PCDs) - 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

ArcsPEMT

The arcs of Proportional Edge Proximity Catch Digraph (PE-PCD) for 2D data - multiple triangle case

ArcsPEMI

The arcs of Proportional Edge Proximity Catch Digraph (PE-PCD) for 1D data - multiple interval case

Gam2PEbastri

The indicator for two points being a dominating set for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - basic triangle case

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

NASbastri

The vertices of the Arc Slice (AS) Proximity Region in the basic triangle

NPEstdtetra

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

NAStri

The vertices of the Arc Slice (AS) Proximity Region in a general triangle

Line

The line joining two distinct 2D points a and b

IndNCStri.alt

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

NumArcsASMT

Number of arcs of Arc Slice Proximity Catch Digraphs (AS-PCDs) - multiple triangle case

NumArcsPEtri

Number of arcs of Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one 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

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

IndNCStriSet

The indicator for the presence of an arc from a point in set S to the point pt for Central Similarity Proximity Catch Digraphs (CS-PCDs) - one triangle case

IndNAStriSet

The indicator for the presence of an arc from a point in set S to the point pt for Arc Slice Proximity Catch Digraphs (AS-PCDs) - one triangle case

NCStri

The vertices of the Central Similarity (CS) Proximity Region in a general triangle

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

Gam3PEtetra

The indicator for three 3D points constituting a dominating set for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one tetrahedron 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

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

Kfr2vVRCC

The k furthest points in a data set from vertices in each \(CC\)-vertex region in a triangle

NumArcsPEend1D

Number of arcs of Proportional Edge Proximity Catch Digraphs (PE-PCDs) - end interval case

IndCS.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

IndNPEstdtetra

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

IndCSdomUBTe

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

IndCSdomUBtri

Indicator for an upper bound for the domination number of Central Similarity Proximity Catch Digraph (CS-PCD) by the exact algorithm - one triangle case

PEdom1D

The domination number of Proportional Edge Proximity Catch Digraph (PE-PCD) for 1D data

angle3pnts

The angle between two line segments

PEdomMT

The domination number of Proportional Edge Proximity Catch Digraph (PE-PCD) - multiple triangle case

NumDelTri

Number of Delaunay triangles based on a 2D data set

Gam2ASbastri

The indicator for two points being a dominating set for Arc Slice Proximity Catch Digraphs (AS-PCDs) - basic triangle case

IndNPETeSet

The indicator for the presence of an arc from a point in set S to the point pt for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - standard equilateral triangle case

IncMatAStri

Incidence matrix for Arc Slice Proximity Catch Digraphs (AS-PCDs) - one triangle case

Gam2AStri

The indicator for two points constituting a dominating set for Arc Slice Proximity Catch Digraphs (AS-PCDs) - one triangle case

IncMatPEtetra

Incidence matrix for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one tetrahedron case

IndCSTeSet

The indicator for the presence of an arc from a point in set S to the point pt for Central Similarity Proximity Catch Digraphs (CS-PCDs) - standard equilateral triangle case

Line3D

The line crossing 3D point r0 in the direction of vector v (or if v is a point, in direction of \(v-r_0\))

Plane

The plane passing through three distinct 3D points a, b, and c

fr2vTbVRCC

The furthest points from vertices in each \(CC\)-vertex region in a basic triangle

IncMatCS1D

Incidence matrix for Central Similarity Proximity Catch Digraphs (CS-PCDs) for 1D data - multiple interval case

IncMatPEtri

Incidence matrix for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one triangle case

area.polygon

The area of a polygon in \(R^2\)

.onLoad

.onLoad getOption package settings

PEdomMTnd

The domination number of Proportional Edge Proximity Catch Digraph (PE-PCD) with non-degeneracy centers - multiple 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)

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

NumArcsAStri

Number of arcs of Arc Slice Proximity Catch Digraphs (AS-PCDs) - one triangle case

PEdom.tetra

The domination number of Proportional Edge Proximity Catch Digraph (PE-PCD) - one tetrahedron case

circ.cent.bastri

Circumcenter of a basic triangle

circ.cent.tetra

Circumcenter of a general tetrahedron

NPEbastri

The vertices of the Proportional Edge (PE) Proximity Region in a basic triangle

NumArcsPEint

Number of arcs of Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one interval case

NumArcsCSMT

Number of arcs of Central Similarity Proximity Catch Digraphs (CS-PCDs) - multiple triangle case

rascIITe

Generation of points associated (in a Type II fashion) with the edges of \(T_e\)

angle.str2end

The angles to draw arcs between two line segments

.onAttach

.onAttach start message

PEdomtri

The domination number of Proportional Edge Proximity Catch Digraph (PE-PCD) - one triangle case

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

NPEtri

The vertices of the Proportional Edge (PE) Proximity Region in a general triangle

funsAB2MTe

The lines joining the three vertices of the standard equilateral triangle to a center, M, of it

as.bastri

The labels of the vertices of a triangle in the (unscaled) basic triangle form

IndNPEmid1D

The indicator for the presence of an arc from a point to another for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - middle interval case

cl2eVRCM

The closest points in a data set to edges in each \(CM\)-vertex region in a triangle

summary.Lines3D

Return a summary of a Lines3D object

IndNPEtriSet

The indicator for the presence of an arc from a point in set S to the point pt for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one triangle case

IndCSTe

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

IncMatASMT

Incidence matrix for Arc Slice Proximity Catch Digraphs (AS-PCDs) - multiple triangle case

IncMatCSMT

Incidence matrix for Central Similarity Proximity Catch Digraphs (CS-PCDs) - multiple triangle case

IncMatCSTe

Incidence matrix for Central Similarity Proximity Catch Digraphs (CS-PCDs) - standard equilateral triangle case

IndNCSmid1D

The indicator for the presence of an arc from a point to another for Central Similarity Proximity Catch Digraphs (CS-PCDs) - middle 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

cl2eVRcent.alt

PEarcdens.tri

Arc density of Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one triangle case

paraline

The line parallel to the line segment joining two distinct 2D points a and b

IndNPEbastri

The indicator for the presence of an arc from a point to another for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - basic triangle case

fr2eTeER

The furthest points in a data set from edges in each \(CM\)-edge region in the standard equilateral triangle

cl2CC.VR

The closest points to circumcenter in each \(CC\)-vertex region in a triangle

IndNPEend1D

The indicator for the presence of an arc from a point to another for Proportional Edge Proximity Catch Digraphs (PE-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

IndCSTet1

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 \(t=1\)

IndNCSend1D

The indicator for the presence of an arc from a point to another for Central Similarity Proximity Catch Digraphs (CS-PCDs) - end interval case

NCSint

The end points of the Central Similarity (CS) Proximity Region for a point - one interval case

cl2CC.TbVR

The closest points to circumcenter in each \(CC\)-vertex region in a basic triangle

XinCHY

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

TSArcDensPE1D

A test of uniformity of 1D data in a given interval based on Proportional Edge Proximity Catch Digraph (PE-PCD)

NumArcsCSend1D

Number of arcs of Central Similarity Proximity Catch Digraphs (CS-PCDs) - end interval case

TSDomPEBin1D

A test of segregation/association based on domination number of Proportional Edge Proximity Catch Digraph (PE-PCD) for 1D data - Binomial Approximation

NumArcsPEmid1D

Number of Arcs for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - middle interval case

dom.exact

Exact domination number (i.e., domination number by the exact algorithm)

redges.tri.cent

The indices of the M-edge regions in a triangle that contains the points in a give data set

plot.Uniform

Plot a Uniform object

rv.triCM

The index of the \(CM\)-vertex region in a triangle that contains a given point

PG2PE1D.asy

The asymptotic probability of domination number \(= 2\) for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - middle interval case

NumArcsCSTe

Number of arcs of Central Similarity Proximity Catch Digraphs (CS-PCDs) - standard equilateral triangle case

TSArcDensCSMT

A test of segregation/association based on arc density of Central Similarity Proximity Catch Digraph (CS-PCD) for 2D data

NumArcsPETe

Number of arcs of Proportional Edge Proximity Catch Digraphs (PE-PCDs) - standard equilateral triangle case

pcds

pcds: A package for Proximity Catch Digraphs and Their Applications

NumArcsCSint

Number of arcs of Central Similarity Proximity Catch Digraphs (CS-PCDs) - one interval case

NumArcsCStri

Number of arcs of Central Similarity Proximity Catch Digraphs (CS-PCDs) - one triangle case

NumArcsCSmid1D

Number of Arcs of of Central Similarity Proximity Catch Digraphs (CS-PCDs) - middle interval case

funsCartBary

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

cp2edges.nd

Projections of Centers for non-degenerate asymptotic distribution of domination number of Proportional Edge Proximity Catch Digraphs (PE-PCDs) to its edges

TSArcDensCS1D

A test of uniformity of 1D data in a given interval based on Central Similarity Proximity Catch Digraph (CS-PCD)

NumArcsPEMT

Number of arcs of Proportional Edge Proximity Catch Digraphs (PE-PCDs) - multiple triangle case

cp2e.tri

Projections of a point inside a triangle to its edges

IndNCStri

The indicator for the presence of an arc from one point to another for Central Similarity Proximity Catch Digraphs (CS-PCDs)

TSArcDensPEMT

A test of segregation/association based on arc density of Proportional Edge Proximity Catch Digraph (PE-PCD) for 2D data

TSDomPEBin

A test of segregation/association based on domination number of Proportional Edge Proximity Catch Digraph (PE-PCD) for 2D data - Binomial Approximation

inTriAll

Check whether all points in a data set are inside the triangle

int.line.plane

The point of intersection of a line and a plane

cl2eVRcent

The closest points among a data set in the vertex regions to the respective edges in a triangle

funsMuVarCS1D

Returning the mean and (asymptotic) variance of arc density of Central Similarity Proximity Catch Digraph (CS-PCD) for 1D data - middle interval case

is.in.data

Check a point belong to a given data set

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

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

ind.int.set

Indices of the intervals where the 1D point(s) reside

centersMc

Parameterized centers of intervals

cl2Mc.int

The closest points to center in each vertex region in an interval

plot.Extrema

Plot an Extrema object

TSDomPENor

A test of segregation/association based on domination number of Proportional Edge Proximity Catch Digraph (PE-PCD) for 2D data - Normal Approximation

isStdEqTri

Check whether a triangle is a standard equilateral triangle

dom.greedy

Approximate domination number and approximate dominating set by the greedy algorithm

plotPEregsMI

The plot of the Proportional Edge (PE) Proximity Regions (vertices jittered along \(y\)-coordinate) - multiple interval case

plot.Lines3D

Plot a Lines3D object

runif.tri

Generation of Uniform Points in a Triangle

plotCSregsInt

The plot of the Central Similarity (CS) Proximity Regions for a general interval (vertices jittered along \(y\)-coordinate) - one interval case

funsIndDelTri

Functions provide the indices of the Delaunay triangles where the points reside

in.tetrahedron

Check whether a point is inside a tetrahedron

plot.Lines

Plot a Lines object

cent.nondeg

Centers for non-degenerate asymptotic distribution of domination number of Proportional Edge Proximity Catch Digraphs (PE-PCDs)

funsTbMid2CC

Two functions lD1CCinTb and lD2CCinTb which are of class "TriLines" --- The lines joining the midpoints of edges to the circumcenter (eqnCC) in the basic triangle.

fr2vVRCC

The furthest points in a data set from vertices in each \(CC\)-vertex region in a triangle

plotASarcsMT

The plot of the arcs of Arc Slice Proximity Catch Digraph (AS-PCD) for a 2D data set - multiple triangle case

plotPEregsMT

The plot of the Proportional Edge (PE) Proximity Regions for a 2D data set - multiple triangle case

IndUBdom

Indicator for an upper bound for the domination number by the exact algorithm

plotCSregsMI

The plot of the Central Similarity (CS) Proximity Regions (vertices jittered along \(y\)-coordinate) - multiple interval case

print.Planes

Print a Planes object

plot.Patterns

Plot a Patterns object

cl2edgesTe

The closest points in a data set to edges in the standard equilateral triangle

circ.cent.tri

Circumcenter of a general triangle

dimension

The dimension of a vector or matrix or a data frame

rsegTe

Generation of points segregated (in a Type I fashion) from the vertices of \(T_e\)

rv.mid.int

The index of the vertex region in a middle interval that contains a given point

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

plotASregsMT

The plot of the Arc Slice (AS) Proximity Regions for a 2D data set - multiple triangle case

rasc.disc

Generation of points associated (in a radial or circular fashion) with a given set of points

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 \(t=1\)

plotCSregsMT

The plot of the Central Similarity (CS) Proximity Regions for a 2D data set - multiple triangle case

print.summary.TriLines

Print a summary of a TriLines object

is.point

Check the argument is a point of a given dimension

dist.pt2set

Distance from a point to a set of finite cardinality

rsegMT

Generation of points segregated (in a Type I fashion) from a given set of points

rv.triCC

The index of the \(CC\)-vertex region in a triangle that contains a point

in.triangle

Check whether a point is inside a triangle

summary.Uniform

Return a summary of a Uniform object

paraplane

The plane parallel to the plane spanned by three distinct 3D points a, b, and c

plot.PCDs

Plot a PCDs object

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

plotIntervals

The plot of the subintervals based on Yp points together with Xp points

plotPEregsTH

The plot of the Proportional Edge (PE) Proximity Regions for a 3D data set - one tetrahedron case

funsMuVarPEend1D

Returns the mean and (asymptotic) variance of arc density of Proportional Edge Proximity Catch Digraph (PE-PCD) for 1D data - end interval case

plotCSarcsTri

The plot of the arcs of Central Similarity Proximity Catch Digraph (CS-PCD) for a 2D data set - one triangle case

redge.triCM

The vertices of the \(CM\)-edge region in a triangle that contains the point

funsAB2CMTe

The lines joining two vertices to the center of mass in standard equilateral triangle

print.TriLines

Print a TriLines object

print.summary.Uniform

Print a summary of a Uniform object

plotPEregsStdTH

The plot of the Proportional Edge (PE) Proximity Regions for a 3D data set - standard regular tetrahedron case

rascMT

Generation of points associated (in a Type I fashion) with a given set of points

runif.tetra

Generation of Uniform Points in a tetrahedron

print.summary.Extrema

Print a summary of a Extrema object

paraline3D

The line crossing the 3D point P and parallel to line joining 3D points A and B

print.Uniform

Print a Uniform object

print.summary.Lines

Print a summary of a Lines object

plotPEarcsMT

The plot of the arcs of Proportional Edge Proximity Catch Digraph (PE-PCD) for a 2D data set - multiple triangle case

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

rascTe

Generation of points associated (in a Type I fashion) with the vertices of \(T_e\)

rv.tetraCC

The index of the \(CC\)-vertex region in a tetrahedron that contains a point

reTeCM

The index of the edge region in the standard equilateral triangle that contains a point

rv.tetraCM

The index of the \(CM\)-vertex region in a tetrahedron that contains a point

rverts.tri.cent

The indices of the vertex regions in a triangle that contains the points in a give data set

rv.bastri.cent

The index of the vertex region in a basic triangle that contains a given point

runifTe.onesixth

Generation of Uniform Points in the first one-sixth of standard equilateral triangle

rvTeCM

The index of the \(CM\)-vertex region in the standard equilateral triangle that contains a given point

plot.Planes

Plot a Planes object

plotPEarcsTri

The plot of the arcs of Proportional Edge Proximity Catch Digraph (PE-PCD) for a 2D data set - one triangle case

rverts.tri.cent.alt

The alternative function for the indices of the vertex regions in a triangle that contains the points in a give data set

rverts.tri.nd

The indices of the vertex regions in a triangle that contains the points in a give data set

plotASregsTri

The plot of the Arc Slice (AS) Proximity Regions for a 2D data set - one triangle case

print.summary.Planes

Print a summary of a Planes object

six.ext

The closest points among a data set in the standard equilateral triangle to the median lines in the six half edge regions

plot.TriLines

Plot a TriLines object

plotCSregsTri

The plot of the Central Similarity (CS) Proximity Regions for a 2D data set - one triangle case Plots the points in and outside of the triangle tri and also the CS proximity regions which are also triangular for points inside the triangle tri with edge regions are based on the center of mass CM.

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

plotDeltri

The scatterplot of points from one class and plot of the Delaunay triangulation of the other class

plotCSarcsMT

The plot of the arcs of Central Similarity Proximity Catch Digraph (CS-PCD) for a 2D data set - multiple triangle case

print.Patterns

Print a Patterns object

rseg.disc

Generation of points segregated (in a radial or circular fashion) from a given set of points

funsMuVarCSend1D

Returns the mean and (asymptotic) variance of arc density of Central Similarity Proximity Catch Digraph (CS-PCD) for 1D data - end interval case

cl2eTbVRcent

The closest points among a data set in the vertex regions to the corresponding edges in a basic triangle

cl2eVRCC

The closest points in a data set to edges in each \(CC\)-vertex region in a triangle

rasc.tri

Generation of points associated (in a Type I fashion) with the vertices of a triangle

print.Extrema

Print a Extrema object

radii

The radii of points from one class with respect to points from the other class

seg.tri.supp

The auxiliary triangle to define the support of type I segregation

print.summary.Patterns

Print a summary of a Patterns object

plotASarcsTri

The plot of the arcs of Arc Slice Proximity Catch Digraph (AS-PCD) for a 2D data set - one triangle case

swamptrees

Tree Species in a Swamp Forest

cp2e.bastri

Projections of a point inside the basic triangle to its edges

dp2pl

The distance from a point to a plane

cl2fVRth

The closest points among a data set in the vertex regions to the respective faces in a tetrahedron

plotPEregsInt

The plot of the Proportional Edge (PE) Proximity Regions for a general interval (vertices jittered along \(y\)-coordinate) - one interval case

dp2l

The distance from a point to a line

funsPG2PE1D

The functions for probability of domination number \(= 2\) for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - middle interval case

in.circle

Check whether a point is inside a circle

int.circ.line

The points of intersection of a line and a circle

print.PCDs

Print a PCDs object

int.2lines

The point of intersection of two lines

funsRankOrderTe

Returns the ranks and orders of points in decreasing distance to the edges of the triangle

plotPEregsTri

The plot of the Proportional Edge (PE) Proximity Regions for a 2D data set - one triangle case

print.Lines

Print a Lines object

radius

The radius of a point from one class with respect to points from the other class

rasc.matern

Generation of points associated (in a Matern-like fashion) to a given set of points

slope

The slope of a line

rseg.tri

Generation of points segregated (in a Type I fashion) from the vertices of a triangle

runif.stdtetra

Generation of Uniform Points in the Standard Regular Tetrahedron \(T_h\)

redges.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

summary.PCDs

Return a summary of a PCDs object

rvTe.cent

The index of the vertex region in the standard equilateral triangle that contains a given point

perp.ln2pl

The line crossing the 3D point P and perpendicular to the plane spanned by 3D points A, B, and C

runifTe

Generation of Uniform Points in the Standard Equilateral Triangle

runifMT

Generation of Uniform Points in the Convex Hull of Points

summary.Lines

Return a summary of a Lines object

summary.Patterns

Return a summary of a Patterns object

summary.Planes

Return a summary of a Planes object

rv.tri.cent

The index of the vertex region in a triangle that contains a given point

summary.TriLines

Return a summary of a TriLines object

runif.bastri

Generation of Uniform Points in the basic triangle

rsegIITe

Generation of points segregated (in a Type II fashion) from the vertices of \(T_e\)

summary.Extrema

Return a summary of a Extrema object

perpline

The line passing through a point and perpendicular to the line segment joining two points

print.summary.Lines3D

Print a summary of a Lines3D object

print.Lines3D

Print a Lines3D object

rv.bastriCC

The index of the \(CC\)-vertex region in a basic triangle that contains a point

re.bastri.cent

The index of the edge region in a basic triangle that contains a point

rverts.triCC

The indices of the \(CC\)-vertex regions in a triangle that contains the points in a give data set.

print.summary.PCDs

Print a summary of a PCDs object

rv.end.int

The index of the vertex region in an end-interval that contains a given point

re.bastriCM

The index of the \(CM\)-edge region in a basic triangle that contains a point

rverts.triCM

The indices of the \(CM\)-vertex regions in a triangle that contains the points in a give data set

rv.bastriCM

The index of the \(CM\)-vertex region in a basic triangle that contains a point

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Functions in pcds (0.1.2)