id stringlengths 16 152 | package stringclasses 563
values | symbol stringlengths 1 125 | headline stringlengths 0 249 | usage stringlengths 0 722 | description stringclasses 11
values | example_code stringlengths 0 2.87k | example_output stringclasses 42
values | see_also stringlengths 0 1.59k | source_file stringclasses 602
values | branch stringclasses 1
value | text_for_embedding stringlengths 0 4.44k | raw_text stringlengths 14 77.1k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
doc_76b61803_[bertiniImageMonodromyCollect,NameB'InputFile] | doc | [bertiniImageMonodromyCollect,NameB'InputFile] | This option or key is for a function that is in active development. | M2_git/M2/M2/Macaulay2/packages/Bertini/doc.m2 | stable | HEADLINE: This option or key is for a function that is in active development. | Key
StartFileDirectory
InputFileDirectory
StartParameterFileDirectory
NumSolBound
OrderPaths
NumberOfLoops
BranchPoints
SpecifyLoops
SaveData
ListB'Sections
TextScripts
PreparePH2
SpecifyDim
MonodromyStartPoints
PathNumber
TestSolutions
SpecifyComponent
ContainsMult... | |||||
doc_76b61803_[bertiniImageMonodromyCollect,NameParameterFile] | doc | [bertiniImageMonodromyCollect,NameParameterFile] | This option or key is for a function that is in active development. | M2_git/M2/M2/Macaulay2/packages/Bertini/doc.m2 | stable | HEADLINE: This option or key is for a function that is in active development. | Key
StartFileDirectory
InputFileDirectory
StartParameterFileDirectory
NumSolBound
OrderPaths
NumberOfLoops
BranchPoints
SpecifyLoops
SaveData
ListB'Sections
TextScripts
PreparePH2
SpecifyDim
MonodromyStartPoints
PathNumber
TestSolutions
SpecifyComponent
ContainsMult... | |||||
doc_76b61803_[bertiniImageMonodromyCollect,NameSolutionsFile] | doc | [bertiniImageMonodromyCollect,NameSolutionsFile] | This option or key is for a function that is in active development. | M2_git/M2/M2/Macaulay2/packages/Bertini/doc.m2 | stable | HEADLINE: This option or key is for a function that is in active development. | Key
StartFileDirectory
InputFileDirectory
StartParameterFileDirectory
NumSolBound
OrderPaths
NumberOfLoops
BranchPoints
SpecifyLoops
SaveData
ListB'Sections
TextScripts
PreparePH2
SpecifyDim
MonodromyStartPoints
PathNumber
TestSolutions
SpecifyComponent
ContainsMult... | |||||
doc_76b61803_[bertiniImageMonodromyCollect,OnlyMoveParameters] | doc | [bertiniImageMonodromyCollect,OnlyMoveParameters] | This option or key is for a function that is in active development. | M2_git/M2/M2/Macaulay2/packages/Bertini/doc.m2 | stable | HEADLINE: This option or key is for a function that is in active development. | Key
StartFileDirectory
InputFileDirectory
StartParameterFileDirectory
NumSolBound
OrderPaths
NumberOfLoops
BranchPoints
SpecifyLoops
SaveData
ListB'Sections
TextScripts
PreparePH2
SpecifyDim
MonodromyStartPoints
PathNumber
TestSolutions
SpecifyComponent
ContainsMult... | |||||
doc_76b61803_[bertiniUserHomotopy,OutputStyle] | doc | [bertiniUserHomotopy,OutputStyle] | This option or key is for a function that is in active development. | M2_git/M2/M2/Macaulay2/packages/Bertini/doc.m2 | stable | HEADLINE: This option or key is for a function that is in active development. | Key
StartFileDirectory
InputFileDirectory
StartParameterFileDirectory
NumSolBound
OrderPaths
NumberOfLoops
BranchPoints
SpecifyLoops
SaveData
ListB'Sections
TextScripts
PreparePH2
SpecifyDim
MonodromyStartPoints
PathNumber
TestSolutions
SpecifyComponent
ContainsMult... | |||||
doc_76b61803_[bertiniImageMonodromyCollect,PrintMidStatus] | doc | [bertiniImageMonodromyCollect,PrintMidStatus] | This option or key is for a function that is in active development. | M2_git/M2/M2/Macaulay2/packages/Bertini/doc.m2 | stable | HEADLINE: This option or key is for a function that is in active development. | Key
StartFileDirectory
InputFileDirectory
StartParameterFileDirectory
NumSolBound
OrderPaths
NumberOfLoops
BranchPoints
SpecifyLoops
SaveData
ListB'Sections
TextScripts
PreparePH2
SpecifyDim
MonodromyStartPoints
PathNumber
TestSolutions
SpecifyComponent
ContainsMult... | |||||
doc_76b61803_[bertiniUserHomotopy,RandomReal] | doc | [bertiniUserHomotopy,RandomReal] | This option or key is for a function that is in active development. | M2_git/M2/M2/Macaulay2/packages/Bertini/doc.m2 | stable | HEADLINE: This option or key is for a function that is in active development. | Key
StartFileDirectory
InputFileDirectory
StartParameterFileDirectory
NumSolBound
OrderPaths
NumberOfLoops
BranchPoints
SpecifyLoops
SaveData
ListB'Sections
TextScripts
PreparePH2
SpecifyDim
MonodromyStartPoints
PathNumber
TestSolutions
SpecifyComponent
ContainsMult... | |||||
doc_76b61803_[bertiniImageMonodromyCollect,ReturnPoints] | doc | [bertiniImageMonodromyCollect,ReturnPoints] | This option or key is for a function that is in active development. | M2_git/M2/M2/Macaulay2/packages/Bertini/doc.m2 | stable | HEADLINE: This option or key is for a function that is in active development. | Key
StartFileDirectory
InputFileDirectory
StartParameterFileDirectory
NumSolBound
OrderPaths
NumberOfLoops
BranchPoints
SpecifyLoops
SaveData
ListB'Sections
TextScripts
PreparePH2
SpecifyDim
MonodromyStartPoints
PathNumber
TestSolutions
SpecifyComponent
ContainsMult... | |||||
doc_76b61803_[makeB'InputFile,SetParameterGroup] | doc | [makeB'InputFile,SetParameterGroup] | This option or key is for a function that is in active development. | M2_git/M2/M2/Macaulay2/packages/Bertini/doc.m2 | stable | HEADLINE: This option or key is for a function that is in active development. | Key
StartFileDirectory
InputFileDirectory
StartParameterFileDirectory
NumSolBound
OrderPaths
NumberOfLoops
BranchPoints
SpecifyLoops
SaveData
ListB'Sections
TextScripts
PreparePH2
SpecifyDim
MonodromyStartPoints
PathNumber
TestSolutions
SpecifyComponent
ContainsMult... | |||||
doc_76b61803_[bertiniUserHomotopy,TopDirectory] | doc | [bertiniUserHomotopy,TopDirectory] | This option or key is for a function that is in active development. | M2_git/M2/M2/Macaulay2/packages/Bertini/doc.m2 | stable | HEADLINE: This option or key is for a function that is in active development. | Key
StartFileDirectory
InputFileDirectory
StartParameterFileDirectory
NumSolBound
OrderPaths
NumberOfLoops
BranchPoints
SpecifyLoops
SaveData
ListB'Sections
TextScripts
PreparePH2
SpecifyDim
MonodromyStartPoints
PathNumber
TestSolutions
SpecifyComponent
ContainsMult... | |||||
doc_76b61803_[bertiniImageMonodromyCollect,B'Exe] | doc | [bertiniImageMonodromyCollect,B'Exe] | This option or key is for a function that is in active development. | M2_git/M2/M2/Macaulay2/packages/Bertini/doc.m2 | stable | HEADLINE: This option or key is for a function that is in active development. | Key
StartFileDirectory
InputFileDirectory
StartParameterFileDirectory
NumSolBound
OrderPaths
NumberOfLoops
BranchPoints
SpecifyLoops
SaveData
ListB'Sections
TextScripts
PreparePH2
SpecifyDim
MonodromyStartPoints
PathNumber
TestSolutions
SpecifyComponent
ContainsMult... | |||||
doc_76b61803_[bertiniImageMonodromyCollect,MonodromyStartParameters] | doc | [bertiniImageMonodromyCollect,MonodromyStartParameters] | This option or key is for a function that is in active development. | M2_git/M2/M2/Macaulay2/packages/Bertini/doc.m2 | stable | HEADLINE: This option or key is for a function that is in active development. | Key
StartFileDirectory
InputFileDirectory
StartParameterFileDirectory
NumSolBound
OrderPaths
NumberOfLoops
BranchPoints
SpecifyLoops
SaveData
ListB'Sections
TextScripts
PreparePH2
SpecifyDim
MonodromyStartPoints
PathNumber
TestSolutions
SpecifyComponent
ContainsMult... | |||||
doc_76b61803_[bertiniImageMonodromyCollect,MonodromyStartPoints] | doc | [bertiniImageMonodromyCollect,MonodromyStartPoints] | This option or key is for a function that is in active development. | M2_git/M2/M2/Macaulay2/packages/Bertini/doc.m2 | stable | HEADLINE: This option or key is for a function that is in active development. | Key
StartFileDirectory
InputFileDirectory
StartParameterFileDirectory
NumSolBound
OrderPaths
NumberOfLoops
BranchPoints
SpecifyLoops
SaveData
ListB'Sections
TextScripts
PreparePH2
SpecifyDim
MonodromyStartPoints
PathNumber
TestSolutions
SpecifyComponent
ContainsMult... | |||||
doc_76b61803_[bertiniImageMonodromyCollect,NameStartFile] | doc | [bertiniImageMonodromyCollect,NameStartFile] | This option or key is for a function that is in active development. | M2_git/M2/M2/Macaulay2/packages/Bertini/doc.m2 | stable | HEADLINE: This option or key is for a function that is in active development. | Key
StartFileDirectory
InputFileDirectory
StartParameterFileDirectory
NumSolBound
OrderPaths
NumberOfLoops
BranchPoints
SpecifyLoops
SaveData
ListB'Sections
TextScripts
PreparePH2
SpecifyDim
MonodromyStartPoints
PathNumber
TestSolutions
SpecifyComponent
ContainsMult... | |||||
doc_76b61803_[bertiniImageMonodromyCollect,NumberOfLoops] | doc | [bertiniImageMonodromyCollect,NumberOfLoops] | This option or key is for a function that is in active development. | M2_git/M2/M2/Macaulay2/packages/Bertini/doc.m2 | stable | HEADLINE: This option or key is for a function that is in active development. | Key
StartFileDirectory
InputFileDirectory
StartParameterFileDirectory
NumSolBound
OrderPaths
NumberOfLoops
BranchPoints
SpecifyLoops
SaveData
ListB'Sections
TextScripts
PreparePH2
SpecifyDim
MonodromyStartPoints
PathNumber
TestSolutions
SpecifyComponent
ContainsMult... | |||||
doc_76b61803_[bertiniImageMonodromyCollect,NumSolBound] | doc | [bertiniImageMonodromyCollect,NumSolBound] | This option or key is for a function that is in active development. | M2_git/M2/M2/Macaulay2/packages/Bertini/doc.m2 | stable | HEADLINE: This option or key is for a function that is in active development. | Key
StartFileDirectory
InputFileDirectory
StartParameterFileDirectory
NumSolBound
OrderPaths
NumberOfLoops
BranchPoints
SpecifyLoops
SaveData
ListB'Sections
TextScripts
PreparePH2
SpecifyDim
MonodromyStartPoints
PathNumber
TestSolutions
SpecifyComponent
ContainsMult... | |||||
doc_76b61803_[bertiniImageMonodromyCollect,SaveData] | doc | [bertiniImageMonodromyCollect,SaveData] | This option or key is for a function that is in active development. | M2_git/M2/M2/Macaulay2/packages/Bertini/doc.m2 | stable | HEADLINE: This option or key is for a function that is in active development. | Key
StartFileDirectory
InputFileDirectory
StartParameterFileDirectory
NumSolBound
OrderPaths
NumberOfLoops
BranchPoints
SpecifyLoops
SaveData
ListB'Sections
TextScripts
PreparePH2
SpecifyDim
MonodromyStartPoints
PathNumber
TestSolutions
SpecifyComponent
ContainsMult... | |||||
doc_76b61803_[bertiniImageMonodromyCollect,SpecifyLoops] | doc | [bertiniImageMonodromyCollect,SpecifyLoops] | This option or key is for a function that is in active development. | M2_git/M2/M2/Macaulay2/packages/Bertini/doc.m2 | stable | HEADLINE: This option or key is for a function that is in active development. | Key
StartFileDirectory
InputFileDirectory
StartParameterFileDirectory
NumSolBound
OrderPaths
NumberOfLoops
BranchPoints
SpecifyLoops
SaveData
ListB'Sections
TextScripts
PreparePH2
SpecifyDim
MonodromyStartPoints
PathNumber
TestSolutions
SpecifyComponent
ContainsMult... | |||||
doc_76b61803_[bertiniImageMonodromyCollect,StorageFolder] | doc | [bertiniImageMonodromyCollect,StorageFolder] | This option or key is for a function that is in active development. | M2_git/M2/M2/Macaulay2/packages/Bertini/doc.m2 | stable | HEADLINE: This option or key is for a function that is in active development. | Key
StartFileDirectory
InputFileDirectory
StartParameterFileDirectory
NumSolBound
OrderPaths
NumberOfLoops
BranchPoints
SpecifyLoops
SaveData
ListB'Sections
TextScripts
PreparePH2
SpecifyDim
MonodromyStartPoints
PathNumber
TestSolutions
SpecifyComponent
ContainsMult... | |||||
doc_76b61803_[bertiniImageMonodromyCollect,Verbose] | doc | [bertiniImageMonodromyCollect,Verbose] | This option or key is for a function that is in active development. | M2_git/M2/M2/Macaulay2/packages/Bertini/doc.m2 | stable | HEADLINE: This option or key is for a function that is in active development. | Key
StartFileDirectory
InputFileDirectory
StartParameterFileDirectory
NumSolBound
OrderPaths
NumberOfLoops
BranchPoints
SpecifyLoops
SaveData
ListB'Sections
TextScripts
PreparePH2
SpecifyDim
MonodromyStartPoints
PathNumber
TestSolutions
SpecifyComponent
ContainsMult... | |||||
doc_76b61803_[bertiniUserHomotopy,HomVariableGroup] | doc | [bertiniUserHomotopy,HomVariableGroup] | This option or key is for a function that is in active development. | M2_git/M2/M2/Macaulay2/packages/Bertini/doc.m2 | stable | HEADLINE: This option or key is for a function that is in active development. | Key
StartFileDirectory
InputFileDirectory
StartParameterFileDirectory
NumSolBound
OrderPaths
NumberOfLoops
BranchPoints
SpecifyLoops
SaveData
ListB'Sections
TextScripts
PreparePH2
SpecifyDim
MonodromyStartPoints
PathNumber
TestSolutions
SpecifyComponent
ContainsMult... | |||||
doc_76b61803_[bertiniUserHomotopy,RandomComplex] | doc | [bertiniUserHomotopy,RandomComplex] | This option or key is for a function that is in active development. | M2_git/M2/M2/Macaulay2/packages/Bertini/doc.m2 | stable | HEADLINE: This option or key is for a function that is in active development. | Key
StartFileDirectory
InputFileDirectory
StartParameterFileDirectory
NumSolBound
OrderPaths
NumberOfLoops
BranchPoints
SpecifyLoops
SaveData
ListB'Sections
TextScripts
PreparePH2
SpecifyDim
MonodromyStartPoints
PathNumber
TestSolutions
SpecifyComponent
ContainsMult... | |||||
doc_66331cbf_bertiniSegmentHomotopy | doc | bertiniSegmentHomotopy | constructs and tracks a straight-line homotopy | S0 = bertiniSegmentHomotopy() | R=CC[x,y]
start={x^3-1, y^3-1}
tar={x^3+y^3-4,x^3+2*y-1}
--input start system, target system, list of start points
bertiniSegmentHomotopy(
start,tar,{{1,1},{-.5-0.86603*ii,1},{1,-0.5+0.86603*ii}}) | M2_git/M2/M2/Macaulay2/packages/Bertini/doc.m2 | stable | HEADLINE: constructs and tracks a straight-line homotopy
USAGE: S0 = bertiniSegmentHomotopy()
INPUTS: start:List
start system, list of polynomial equations
tar:List
target system, list of polynomial equations
S1:List
start solutions (solutions of start system when t=1)
OUTPUTS: S0:List
targ... | Key
bertiniSegmentHomotopy
(bertiniSegmentHomotopy,List, List, List)
Headline
constructs and tracks a straight-line homotopy
Usage
S0 = bertiniSegmentHomotopy()
Inputs
start:List
start system, list of polynomial equations
tar:List
target system, list of polynomial equations
S1:List
... | |||
doc_66331cbf_(bertiniSegmentHomotopy,List,_List,_List) | doc | (bertiniSegmentHomotopy,List, List, List) | constructs and tracks a straight-line homotopy | S0 = bertiniSegmentHomotopy() | R=CC[x,y]
start={x^3-1, y^3-1}
tar={x^3+y^3-4,x^3+2*y-1}
--input start system, target system, list of start points
bertiniSegmentHomotopy(
start,tar,{{1,1},{-.5-0.86603*ii,1},{1,-0.5+0.86603*ii}}) | M2_git/M2/M2/Macaulay2/packages/Bertini/doc.m2 | stable | HEADLINE: constructs and tracks a straight-line homotopy
USAGE: S0 = bertiniSegmentHomotopy()
INPUTS: start:List
start system, list of polynomial equations
tar:List
target system, list of polynomial equations
S1:List
start solutions (solutions of start system when t=1)
OUTPUTS: S0:List
targ... | Key
bertiniSegmentHomotopy
(bertiniSegmentHomotopy,List, List, List)
Headline
constructs and tracks a straight-line homotopy
Usage
S0 = bertiniSegmentHomotopy()
Inputs
start:List
start system, list of polynomial equations
tar:List
target system, list of polynomial equations
S1:List
... | |||
doc_d597e3e7_importPoints | doc | importPoints | importPoints reads solutions from a Bertini solution file to store as points in M2 | S=importPoints(l,n) | M2_git/M2/M2/Macaulay2/packages/Bertini/doc.m2 | stable | HEADLINE: importPoints reads solutions from a Bertini solution file to store as points in M2
USAGE: S=importPoints(l,n)
INPUTS: l: String
A string giving the location of a Bertini solution file.
n: ZZ
Number of coordinates for each solution.
OUTPUTS: S: List
of solutions of type Point | Key
importPoints
(importPoints,String,ZZ)
Headline
importPoints reads solutions from a Bertini solution file to store as points in M2
Usage
S=importPoints(l,n)
Inputs
l: String
A string giving the location of a Bertini solution file.
n: ZZ
Number of coordinates for each solution.
Outputs... | ||||
doc_d597e3e7_(importPoints,String,ZZ) | doc | (importPoints,String,ZZ) | importPoints reads solutions from a Bertini solution file to store as points in M2 | S=importPoints(l,n) | M2_git/M2/M2/Macaulay2/packages/Bertini/doc.m2 | stable | HEADLINE: importPoints reads solutions from a Bertini solution file to store as points in M2
USAGE: S=importPoints(l,n)
INPUTS: l: String
A string giving the location of a Bertini solution file.
n: ZZ
Number of coordinates for each solution.
OUTPUTS: S: List
of solutions of type Point | Key
importPoints
(importPoints,String,ZZ)
Headline
importPoints reads solutions from a Bertini solution file to store as points in M2
Usage
S=importPoints(l,n)
Inputs
l: String
A string giving the location of a Bertini solution file.
n: ZZ
Number of coordinates for each solution.
Outputs... | ||||
doc_95e7b894_phPostProcess | doc | phPostProcess | Does post processing parameter homotopy. | S=phPostProcess(sIn,L,n) | M2_git/M2/M2/Macaulay2/packages/Bertini/doc.m2 | stable | HEADLINE: Does post processing parameter homotopy.
USAGE: S=phPostProcess(sIn,L,n)
INPUTS: sIn: String
A string giving the directory of the input files.
L: List
A list of parameters.
n: ZZ
Number of coordinates in a solution. | Key
phPostProcess
(phPostProcess,String,List,ZZ)
Headline
Does post processing parameter homotopy.
Usage
S=phPostProcess(sIn,L,n)
Inputs
sIn: String
A string giving the directory of the input files.
L: List
A list of parameters.
n: ZZ
Number of coordinates in a solution.
Descript... | ||||
doc_95e7b894_(phPostProcess,String,List,ZZ) | doc | (phPostProcess,String,List,ZZ) | Does post processing parameter homotopy. | S=phPostProcess(sIn,L,n) | M2_git/M2/M2/Macaulay2/packages/Bertini/doc.m2 | stable | HEADLINE: Does post processing parameter homotopy.
USAGE: S=phPostProcess(sIn,L,n)
INPUTS: sIn: String
A string giving the directory of the input files.
L: List
A list of parameters.
n: ZZ
Number of coordinates in a solution. | Key
phPostProcess
(phPostProcess,String,List,ZZ)
Headline
Does post processing parameter homotopy.
Usage
S=phPostProcess(sIn,L,n)
Inputs
sIn: String
A string giving the directory of the input files.
L: List
A list of parameters.
n: ZZ
Number of coordinates in a solution.
Descript... | ||||
doc_1abafb35_phMonodromy | doc | phMonodromy | Does a sequence of parameter homotopies. | S=phMonodromy(sIn,p,n) | M2_git/M2/M2/Macaulay2/packages/Bertini/doc.m2 | stable | HEADLINE: Does a sequence of parameter homotopies.
USAGE: S=phMonodromy(sIn,p,n)
INPUTS: sIn: String
A string giving the directory of start files: input, start, start_parameters
p: ZZ
Number of parameters.
n: ZZ
Number of coordinates of a point. | Key
phMonodromy
(phMonodromy,String,ZZ,ZZ)
Headline
Does a sequence of parameter homotopies.
Usage
S=phMonodromy(sIn,p,n)
Inputs
sIn: String
A string giving the directory of start files: input, start, start_parameters
p: ZZ
Number of parameters.
n: ZZ
Number of coordinates of a po... | ||||
doc_1abafb35_(phMonodromy,String,ZZ,ZZ) | doc | (phMonodromy,String,ZZ,ZZ) | Does a sequence of parameter homotopies. | S=phMonodromy(sIn,p,n) | M2_git/M2/M2/Macaulay2/packages/Bertini/doc.m2 | stable | HEADLINE: Does a sequence of parameter homotopies.
USAGE: S=phMonodromy(sIn,p,n)
INPUTS: sIn: String
A string giving the directory of start files: input, start, start_parameters
p: ZZ
Number of parameters.
n: ZZ
Number of coordinates of a point. | Key
phMonodromy
(phMonodromy,String,ZZ,ZZ)
Headline
Does a sequence of parameter homotopies.
Usage
S=phMonodromy(sIn,p,n)
Inputs
sIn: String
A string giving the directory of start files: input, start, start_parameters
p: ZZ
Number of parameters.
n: ZZ
Number of coordinates of a po... | ||||
doc_1239faf2_SpecifyPoints | doc | SpecifyPoints | optional argument to specify which solutions to import | importPoints(...,SpecifyPoints=>List) | M2_git/M2/M2/Macaulay2/packages/Bertini/doc.m2 | stable | HEADLINE: optional argument to specify which solutions to import
USAGE: importPoints(...,SpecifyPoints=>List) | Key
SpecifyPoints
[importPoints, SpecifyPoints]
Headline
optional argument to specify which solutions to import
Usage
importPoints(...,SpecifyPoints=>List) | ||||
doc_1239faf2_[importPoints,_SpecifyPoints] | doc | [importPoints, SpecifyPoints] | optional argument to specify which solutions to import | importPoints(...,SpecifyPoints=>List) | M2_git/M2/M2/Macaulay2/packages/Bertini/doc.m2 | stable | HEADLINE: optional argument to specify which solutions to import
USAGE: importPoints(...,SpecifyPoints=>List) | Key
SpecifyPoints
[importPoints, SpecifyPoints]
Headline
optional argument to specify which solutions to import
Usage
importPoints(...,SpecifyPoints=>List) | ||||
doc_69c5915c_AffVariableGroup | doc | AffVariableGroup | An option which designates the Affine Variable Groups. | R=QQ[x1,x2,y]
makeB'InputFile(storeBM2Files,
BertiniInputConfiguration=>{{"MPTYPE",2}},
AffVariableGroup=>{{x1,x2},{y}},
B'Polynomials=>{y*(x1+x2+1)^2+1,x1-x2+1,y-2}); | M2_git/M2/M2/Macaulay2/packages/Bertini/doc.m2 | stable | HEADLINE: An option which designates the Affine Variable Groups.
EXAMPLE CODE:
```macaulay2
R=QQ[x1,x2,y]
makeB'InputFile(storeBM2Files,
BertiniInputConfiguration=>{{"MPTYPE",2}},
AffVariableGroup=>{{x1,x2},{y}},
B'Polynomials=>{y*(x1+x2+1)^2+1,x1-x2+1,y-2});
``` | Key
AffVariableGroup
[makeB'InputFile, AffVariableGroup]
Headline
An option which designates the Affine Variable Groups.
Description
Text
We can group variables together when using zero-dimensional runs in Bertini.
Example
R=QQ[x1,x2,y]
makeB'InputFile(storeBM2Files,
BertiniInputConfig... | ||||
doc_69c5915c_[makeB'InputFile,_AffVariableGroup] | doc | [makeB'InputFile, AffVariableGroup] | An option which designates the Affine Variable Groups. | R=QQ[x1,x2,y]
makeB'InputFile(storeBM2Files,
BertiniInputConfiguration=>{{"MPTYPE",2}},
AffVariableGroup=>{{x1,x2},{y}},
B'Polynomials=>{y*(x1+x2+1)^2+1,x1-x2+1,y-2}); | M2_git/M2/M2/Macaulay2/packages/Bertini/doc.m2 | stable | HEADLINE: An option which designates the Affine Variable Groups.
EXAMPLE CODE:
```macaulay2
R=QQ[x1,x2,y]
makeB'InputFile(storeBM2Files,
BertiniInputConfiguration=>{{"MPTYPE",2}},
AffVariableGroup=>{{x1,x2},{y}},
B'Polynomials=>{y*(x1+x2+1)^2+1,x1-x2+1,y-2});
``` | Key
AffVariableGroup
[makeB'InputFile, AffVariableGroup]
Headline
An option which designates the Affine Variable Groups.
Description
Text
We can group variables together when using zero-dimensional runs in Bertini.
Example
R=QQ[x1,x2,y]
makeB'InputFile(storeBM2Files,
BertiniInputConfig... | ||||
doc_cac99666_NameIncidenceMatrixFile | doc | NameIncidenceMatrixFile | An optional argument to import an incidence matrix that has a different name than "incidence_matrix". | M2_git/M2/M2/Macaulay2/packages/Bertini/doc.m2 | stable | HEADLINE: An optional argument to import an incidence matrix that has a different name than "incidence_matrix". | Key
NameIncidenceMatrixFile
[importIncidenceMatrix, NameIncidenceMatrixFile]
Headline
An optional argument to import an incidence matrix that has a different name than "incidence_matrix".
Description
Text
When this option is set to "another_incidence_matrix", a file named "another_incidence_matrix" i... | |||||
doc_cac99666_[importIncidenceMatrix,_NameIncidenceMatrixFile] | doc | [importIncidenceMatrix, NameIncidenceMatrixFile] | An optional argument to import an incidence matrix that has a different name than "incidence_matrix". | M2_git/M2/M2/Macaulay2/packages/Bertini/doc.m2 | stable | HEADLINE: An optional argument to import an incidence matrix that has a different name than "incidence_matrix". | Key
NameIncidenceMatrixFile
[importIncidenceMatrix, NameIncidenceMatrixFile]
Headline
An optional argument to import an incidence matrix that has a different name than "incidence_matrix".
Description
Text
When this option is set to "another_incidence_matrix", a file named "another_incidence_matrix" i... | |||||
doc_d8c86129_NameStartFile | doc | NameStartFile | An optional argument to write a start file that has a different name than "start". | M2_git/M2/M2/Macaulay2/packages/Bertini/doc.m2 | stable | HEADLINE: An optional argument to write a start file that has a different name than "start". | Key
NameStartFile
[writeStartFile, NameStartFile]
Headline
An optional argument to write a start file that has a different name than "start".
Description
Text
When this option is set to "another_start_file", a file named "another_start_file" is written. The default is "start". | |||||
doc_d8c86129_[writeStartFile,_NameStartFile] | doc | [writeStartFile, NameStartFile] | An optional argument to write a start file that has a different name than "start". | M2_git/M2/M2/Macaulay2/packages/Bertini/doc.m2 | stable | HEADLINE: An optional argument to write a start file that has a different name than "start". | Key
NameStartFile
[writeStartFile, NameStartFile]
Headline
An optional argument to write a start file that has a different name than "start".
Description
Text
When this option is set to "another_start_file", a file named "another_start_file" is written. The default is "start". | |||||
doc_1f6717db_makeWitnessSetFiles | doc | makeWitnessSetFiles | This function creates a witness point file and a slice file. | makeWitnessSetFiles(theDir,d) | makeB'InputFile(storeBM2Files,
AffVariableGroup=>{x,y,z},
BertiniInputConfiguration=>{{TrackType,1}},
B'Polynomials=>{"(x^2+y^2+z^2-1)*y"});
runBertini(storeBM2Files)
makeWitnessSetFiles(storeBM2Files,2)--creats a witness point file for all dimension 2 components and a linear slice file f... | M2_git/M2/M2/Macaulay2/packages/Bertini/doc.m2 | stable | HEADLINE: This function creates a witness point file and a slice file.
USAGE: makeWitnessSetFiles(theDir,d)
INPUTS: theDir:String
The directory where Bertini will store files and the witness_data file and input file are located.
d:Number
The dimension of the variety that we intersect with the slice defin... | Key
makeWitnessSetFiles
(makeWitnessSetFiles,String,Number)
Headline
This function creates a witness point file and a slice file.
Usage
makeWitnessSetFiles(theDir,d)
Inputs
theDir:String
The directory where Bertini will store files and the witness_data file and input file are located.
d:Number... | |||
doc_1f6717db_(makeWitnessSetFiles,String,Number) | doc | (makeWitnessSetFiles,String,Number) | This function creates a witness point file and a slice file. | makeWitnessSetFiles(theDir,d) | makeB'InputFile(storeBM2Files,
AffVariableGroup=>{x,y,z},
BertiniInputConfiguration=>{{TrackType,1}},
B'Polynomials=>{"(x^2+y^2+z^2-1)*y"});
runBertini(storeBM2Files)
makeWitnessSetFiles(storeBM2Files,2)--creats a witness point file for all dimension 2 components and a linear slice file f... | M2_git/M2/M2/Macaulay2/packages/Bertini/doc.m2 | stable | HEADLINE: This function creates a witness point file and a slice file.
USAGE: makeWitnessSetFiles(theDir,d)
INPUTS: theDir:String
The directory where Bertini will store files and the witness_data file and input file are located.
d:Number
The dimension of the variety that we intersect with the slice defin... | Key
makeWitnessSetFiles
(makeWitnessSetFiles,String,Number)
Headline
This function creates a witness point file and a slice file.
Usage
makeWitnessSetFiles(theDir,d)
Inputs
theDir:String
The directory where Bertini will store files and the witness_data file and input file are located.
d:Number... | |||
Bertini_df60b8b7_Bertini | Bertini | Bertini | software for numerical algebraic geometry | R = CC[x,y]
F = {x^2-1,y^2-2}
solns = bertiniZeroDimSolve(F) | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: software for numerical algebraic geometry
EXAMPLE CODE:
```macaulay2
R = CC[x,y]
F = {x^2-1,y^2-2}
solns = bertiniZeroDimSolve(F)
``` | Key
Bertini
Headline
software for numerical algebraic geometry
Description
Text
Interfaces the functionality of the software {\tt Bertini}
to solve polynomial systems and perform calculations in
{\em numerical algebraic geometry}. The software is available at
@HREF"http://bertini... | ||||
Bertini_c893248e_bertiniZeroDimSolve | Bertini | bertiniZeroDimSolve | a main method to solve a zero-dimensional system of equations | S = bertiniZeroDimSolve F
S = bertiniZeroDimSolve I
S = bertiniZeroDimSolve(I, UseRegeneration=>1) | R = CC[x];
F = {x^2*(x-1)};
S = bertiniZeroDimSolve F
B = bertiniZeroDimSolve(F,UseRegeneration=>1) | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: a main method to solve a zero-dimensional system of equations
USAGE: S = bertiniZeroDimSolve F
S = bertiniZeroDimSolve I
S = bertiniZeroDimSolve(I, UseRegeneration=>1)
INPUTS: F:List
a list of ring elements (system need not be square)
I:Ideal
an ideal defining a variety
OUTPUTS: S:L... | Key
bertiniZeroDimSolve
(bertiniZeroDimSolve,Ideal)
(bertiniZeroDimSolve,List)
Headline
a main method to solve a zero-dimensional system of equations
Usage
S = bertiniZeroDimSolve F
S = bertiniZeroDimSolve I
S = bertiniZeroDimSolve(I, UseRegeneration=>1)
Inputs
F:List
a list ... | |||
Bertini_c893248e_(bertiniZeroDimSolve,Ideal) | Bertini | (bertiniZeroDimSolve,Ideal) | a main method to solve a zero-dimensional system of equations | S = bertiniZeroDimSolve F
S = bertiniZeroDimSolve I
S = bertiniZeroDimSolve(I, UseRegeneration=>1) | R = CC[x];
F = {x^2*(x-1)};
S = bertiniZeroDimSolve F
B = bertiniZeroDimSolve(F,UseRegeneration=>1) | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: a main method to solve a zero-dimensional system of equations
USAGE: S = bertiniZeroDimSolve F
S = bertiniZeroDimSolve I
S = bertiniZeroDimSolve(I, UseRegeneration=>1)
INPUTS: F:List
a list of ring elements (system need not be square)
I:Ideal
an ideal defining a variety
OUTPUTS: S:L... | Key
bertiniZeroDimSolve
(bertiniZeroDimSolve,Ideal)
(bertiniZeroDimSolve,List)
Headline
a main method to solve a zero-dimensional system of equations
Usage
S = bertiniZeroDimSolve F
S = bertiniZeroDimSolve I
S = bertiniZeroDimSolve(I, UseRegeneration=>1)
Inputs
F:List
a list ... | |||
Bertini_c893248e_(bertiniZeroDimSolve,List) | Bertini | (bertiniZeroDimSolve,List) | a main method to solve a zero-dimensional system of equations | S = bertiniZeroDimSolve F
S = bertiniZeroDimSolve I
S = bertiniZeroDimSolve(I, UseRegeneration=>1) | R = CC[x];
F = {x^2*(x-1)};
S = bertiniZeroDimSolve F
B = bertiniZeroDimSolve(F,UseRegeneration=>1) | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: a main method to solve a zero-dimensional system of equations
USAGE: S = bertiniZeroDimSolve F
S = bertiniZeroDimSolve I
S = bertiniZeroDimSolve(I, UseRegeneration=>1)
INPUTS: F:List
a list of ring elements (system need not be square)
I:Ideal
an ideal defining a variety
OUTPUTS: S:L... | Key
bertiniZeroDimSolve
(bertiniZeroDimSolve,Ideal)
(bertiniZeroDimSolve,List)
Headline
a main method to solve a zero-dimensional system of equations
Usage
S = bertiniZeroDimSolve F
S = bertiniZeroDimSolve I
S = bertiniZeroDimSolve(I, UseRegeneration=>1)
Inputs
F:List
a list ... | |||
Bertini_1b6bdb3e_TopDirectory | Bertini | TopDirectory | Option to change directory for file storage. | bertiniParameterHomotopy(...,TopDirectory=>String)
bertiniZeroDimSolve(...,TopDirectory=>String)
bertiniUserHomotopy(...,TopDirectory=>String) | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: Option to change directory for file storage.
USAGE: bertiniParameterHomotopy(...,TopDirectory=>String)
bertiniZeroDimSolve(...,TopDirectory=>String)
bertiniUserHomotopy(...,TopDirectory=>String) | Key
TopDirectory
[bertiniParameterHomotopy, TopDirectory]
[bertiniZeroDimSolve,TopDirectory]
[bertiniUserHomotopy,TopDirectory]
Headline
Option to change directory for file storage.
Usage
bertiniParameterHomotopy(...,TopDirectory=>String)
bertiniZeroDimSolve(...,TopDirectory=>String)
... | ||||
Bertini_1b6bdb3e_[bertiniParameterHomotopy,_TopDirectory] | Bertini | [bertiniParameterHomotopy, TopDirectory] | Option to change directory for file storage. | bertiniParameterHomotopy(...,TopDirectory=>String)
bertiniZeroDimSolve(...,TopDirectory=>String)
bertiniUserHomotopy(...,TopDirectory=>String) | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: Option to change directory for file storage.
USAGE: bertiniParameterHomotopy(...,TopDirectory=>String)
bertiniZeroDimSolve(...,TopDirectory=>String)
bertiniUserHomotopy(...,TopDirectory=>String) | Key
TopDirectory
[bertiniParameterHomotopy, TopDirectory]
[bertiniZeroDimSolve,TopDirectory]
[bertiniUserHomotopy,TopDirectory]
Headline
Option to change directory for file storage.
Usage
bertiniParameterHomotopy(...,TopDirectory=>String)
bertiniZeroDimSolve(...,TopDirectory=>String)
... | ||||
Bertini_1b6bdb3e_[bertiniZeroDimSolve,TopDirectory] | Bertini | [bertiniZeroDimSolve,TopDirectory] | Option to change directory for file storage. | bertiniParameterHomotopy(...,TopDirectory=>String)
bertiniZeroDimSolve(...,TopDirectory=>String)
bertiniUserHomotopy(...,TopDirectory=>String) | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: Option to change directory for file storage.
USAGE: bertiniParameterHomotopy(...,TopDirectory=>String)
bertiniZeroDimSolve(...,TopDirectory=>String)
bertiniUserHomotopy(...,TopDirectory=>String) | Key
TopDirectory
[bertiniParameterHomotopy, TopDirectory]
[bertiniZeroDimSolve,TopDirectory]
[bertiniUserHomotopy,TopDirectory]
Headline
Option to change directory for file storage.
Usage
bertiniParameterHomotopy(...,TopDirectory=>String)
bertiniZeroDimSolve(...,TopDirectory=>String)
... | ||||
Bertini_1b6bdb3e_[bertiniUserHomotopy,TopDirectory] | Bertini | [bertiniUserHomotopy,TopDirectory] | Option to change directory for file storage. | bertiniParameterHomotopy(...,TopDirectory=>String)
bertiniZeroDimSolve(...,TopDirectory=>String)
bertiniUserHomotopy(...,TopDirectory=>String) | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: Option to change directory for file storage.
USAGE: bertiniParameterHomotopy(...,TopDirectory=>String)
bertiniZeroDimSolve(...,TopDirectory=>String)
bertiniUserHomotopy(...,TopDirectory=>String) | Key
TopDirectory
[bertiniParameterHomotopy, TopDirectory]
[bertiniZeroDimSolve,TopDirectory]
[bertiniUserHomotopy,TopDirectory]
Headline
Option to change directory for file storage.
Usage
bertiniParameterHomotopy(...,TopDirectory=>String)
bertiniZeroDimSolve(...,TopDirectory=>String)
... | ||||
Bertini_ab58459b_UseRegeneration | Bertini | UseRegeneration | an option specifying when to use regeneration | bertiniParameterHomotopy(...,TopDirectory=>String)
bertiniZeroDimSolve(...,TopDirectory=>String)
bertiniUserHomotopy(...,TopDirectory=>String) | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: an option specifying when to use regeneration
USAGE: bertiniParameterHomotopy(...,TopDirectory=>String)
bertiniZeroDimSolve(...,TopDirectory=>String)
bertiniUserHomotopy(...,TopDirectory=>String) | Key
UseRegeneration
Headline
an option specifying when to use regeneration
Usage
bertiniParameterHomotopy(...,TopDirectory=>String)
bertiniZeroDimSolve(...,TopDirectory=>String)
bertiniUserHomotopy(...,TopDirectory=>String)
Description
Text
This option is set to 1 to have Bertini use... | ||||
Bertini_e5bf0bba_bertiniPosDimSolve | Bertini | bertiniPosDimSolve | a main method that is used to produce witness sets | V = bertiniPosDimSolve I
V = bertiniPosDimSolve F | PD=primaryDecomposition( ideal F)
dim PD_0
degree PD_0
dim PD_1
degree PD_1 | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: a main method that is used to produce witness sets
USAGE: V = bertiniPosDimSolve I
V = bertiniPosDimSolve F
INPUTS: F:List
a list of ring elements defining a variety
OUTPUTS: V:NumericalVariety
a numerical irreducible decomposition of the variety defined by F
EXAMPLE CODE:
```macaulay2
PD=... | Key
bertiniPosDimSolve
(bertiniPosDimSolve,Ideal)
(bertiniPosDimSolve,List)
Headline
a main method that is used to produce witness sets
Usage
V = bertiniPosDimSolve I
V = bertiniPosDimSolve F
Inputs
F:List
a list of ring elements defining a variety
Outputs
V:NumericalVariet... | |||
Bertini_e5bf0bba_(bertiniPosDimSolve,Ideal) | Bertini | (bertiniPosDimSolve,Ideal) | a main method that is used to produce witness sets | V = bertiniPosDimSolve I
V = bertiniPosDimSolve F | PD=primaryDecomposition( ideal F)
dim PD_0
degree PD_0
dim PD_1
degree PD_1 | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: a main method that is used to produce witness sets
USAGE: V = bertiniPosDimSolve I
V = bertiniPosDimSolve F
INPUTS: F:List
a list of ring elements defining a variety
OUTPUTS: V:NumericalVariety
a numerical irreducible decomposition of the variety defined by F
EXAMPLE CODE:
```macaulay2
PD=... | Key
bertiniPosDimSolve
(bertiniPosDimSolve,Ideal)
(bertiniPosDimSolve,List)
Headline
a main method that is used to produce witness sets
Usage
V = bertiniPosDimSolve I
V = bertiniPosDimSolve F
Inputs
F:List
a list of ring elements defining a variety
Outputs
V:NumericalVariet... | |||
Bertini_e5bf0bba_(bertiniPosDimSolve,List) | Bertini | (bertiniPosDimSolve,List) | a main method that is used to produce witness sets | V = bertiniPosDimSolve I
V = bertiniPosDimSolve F | PD=primaryDecomposition( ideal F)
dim PD_0
degree PD_0
dim PD_1
degree PD_1 | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: a main method that is used to produce witness sets
USAGE: V = bertiniPosDimSolve I
V = bertiniPosDimSolve F
INPUTS: F:List
a list of ring elements defining a variety
OUTPUTS: V:NumericalVariety
a numerical irreducible decomposition of the variety defined by F
EXAMPLE CODE:
```macaulay2
PD=... | Key
bertiniPosDimSolve
(bertiniPosDimSolve,Ideal)
(bertiniPosDimSolve,List)
Headline
a main method that is used to produce witness sets
Usage
V = bertiniPosDimSolve I
V = bertiniPosDimSolve F
Inputs
F:List
a list of ring elements defining a variety
Outputs
V:NumericalVariet... | |||
Bertini_e30350fd_bertiniSample | Bertini | bertiniSample | a main method to sample points from an irreducible component of a variety | V = bertiniSample (n, W) | R = CC[x,y,z]
F = { (y^2+x^2+z^2-1)*x, (y^2+x^2+z^2-1)*y }
NV = bertiniPosDimSolve(F)
W = NV#1_0 --z-axis
bertiniSample(4, W) | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: a main method to sample points from an irreducible component of a variety
USAGE: V = bertiniSample (n, W)
INPUTS: n:ZZ
an integer specifying the number of desired sample points
W:WitnessSet
a witness set for an irreducible component
OUTPUTS: L:List
a list of sample points
EXAMPLE COD... | Key
bertiniSample
(bertiniSample, ZZ, WitnessSet)
Headline
a main method to sample points from an irreducible component of a variety
Usage
V = bertiniSample (n, W)
Inputs
n:ZZ
an integer specifying the number of desired sample points
W:WitnessSet
a witness set for an irreducibl... | |||
Bertini_e30350fd_(bertiniSample,_ZZ,_WitnessSet) | Bertini | (bertiniSample, ZZ, WitnessSet) | a main method to sample points from an irreducible component of a variety | V = bertiniSample (n, W) | R = CC[x,y,z]
F = { (y^2+x^2+z^2-1)*x, (y^2+x^2+z^2-1)*y }
NV = bertiniPosDimSolve(F)
W = NV#1_0 --z-axis
bertiniSample(4, W) | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: a main method to sample points from an irreducible component of a variety
USAGE: V = bertiniSample (n, W)
INPUTS: n:ZZ
an integer specifying the number of desired sample points
W:WitnessSet
a witness set for an irreducible component
OUTPUTS: L:List
a list of sample points
EXAMPLE COD... | Key
bertiniSample
(bertiniSample, ZZ, WitnessSet)
Headline
a main method to sample points from an irreducible component of a variety
Usage
V = bertiniSample (n, W)
Inputs
n:ZZ
an integer specifying the number of desired sample points
W:WitnessSet
a witness set for an irreducibl... | |||
Bertini_539b56b7_bertiniTrackHomotopy | Bertini | bertiniTrackHomotopy | a main method to track using a user-defined homotopy | S0=bertiniTrackHomotopy(t, H, S1) | R=CC[x,y,t]; -- include the path variable in the ring
f1=(x^2-y^2);
f2=(2*x^2-3*x*y+5*y^2);
H = { f1*t + f2*(1-t)}; --H is a list of polynomials in x,y,t
sol1= point{{1,1}}--{{x,y}} coordinates
sol2= point{{ -1,1}}
S1={sol1,sol2}--solutions to H when t=1
S0=bertiniTrackHo... | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: a main method to track using a user-defined homotopy
USAGE: S0=bertiniTrackHomotopy(t, H, S1)
INPUTS: t:RingElement
a path variable
H:List
a list polynomials that define the homotopy with respect to the path variable
S1:List
a list of solutions to the start system
OUTPUTS: S0:List... | Key
bertiniTrackHomotopy
(bertiniTrackHomotopy, RingElement, List, List)
Headline
a main method to track using a user-defined homotopy
Usage
S0=bertiniTrackHomotopy(t, H, S1)
Inputs
t:RingElement
a path variable
H:List
a list polynomials that define the homotopy with respect to... | |||
Bertini_539b56b7_(bertiniTrackHomotopy,_RingElement,_List,_List) | Bertini | (bertiniTrackHomotopy, RingElement, List, List) | a main method to track using a user-defined homotopy | S0=bertiniTrackHomotopy(t, H, S1) | R=CC[x,y,t]; -- include the path variable in the ring
f1=(x^2-y^2);
f2=(2*x^2-3*x*y+5*y^2);
H = { f1*t + f2*(1-t)}; --H is a list of polynomials in x,y,t
sol1= point{{1,1}}--{{x,y}} coordinates
sol2= point{{ -1,1}}
S1={sol1,sol2}--solutions to H when t=1
S0=bertiniTrackHo... | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: a main method to track using a user-defined homotopy
USAGE: S0=bertiniTrackHomotopy(t, H, S1)
INPUTS: t:RingElement
a path variable
H:List
a list polynomials that define the homotopy with respect to the path variable
S1:List
a list of solutions to the start system
OUTPUTS: S0:List... | Key
bertiniTrackHomotopy
(bertiniTrackHomotopy, RingElement, List, List)
Headline
a main method to track using a user-defined homotopy
Usage
S0=bertiniTrackHomotopy(t, H, S1)
Inputs
t:RingElement
a path variable
H:List
a list polynomials that define the homotopy with respect to... | |||
Bertini_f99274d4_bertiniUserHomotopy | Bertini | bertiniUserHomotopy | a main method to track a user-defined homotopy | S0=bertiniUserHomotopy(t, P, H, S1) | R=CC[x,y,t,a]; -- include the path variable in the ring
f1=(x^2-y^2);
f2=(2*x^2-3*x*y+5*y^2);
H = { f1*a + f2*(1-a)}; --H is a list of polynomials in x,y,t
sol1= point{{1,1}}--{{x,y}} coordinates
sol2= point{{ -1,1}}
S1={sol1,sol2}--solutions to H when t=1
S0=bertiniUserH... | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: a main method to track a user-defined homotopy
USAGE: S0=bertiniUserHomotopy(t, P, H, S1)
INPUTS: t:RingElement
a path variable
P: List
a list of options that set the parameters
H:List
a list of polynomials that define the homotopy
S1:List
a list of solutions to the start... | Key
bertiniUserHomotopy
(bertiniUserHomotopy, Thing, List, List, List)
Headline
a main method to track a user-defined homotopy
Usage
S0=bertiniUserHomotopy(t, P, H, S1)
Inputs
t:RingElement
a path variable
P: List
a list of options that set the parameters
H:List
a lis... | |||
Bertini_f99274d4_(bertiniUserHomotopy,_Thing,_List,_List,_List) | Bertini | (bertiniUserHomotopy, Thing, List, List, List) | a main method to track a user-defined homotopy | S0=bertiniUserHomotopy(t, P, H, S1) | R=CC[x,y,t,a]; -- include the path variable in the ring
f1=(x^2-y^2);
f2=(2*x^2-3*x*y+5*y^2);
H = { f1*a + f2*(1-a)}; --H is a list of polynomials in x,y,t
sol1= point{{1,1}}--{{x,y}} coordinates
sol2= point{{ -1,1}}
S1={sol1,sol2}--solutions to H when t=1
S0=bertiniUserH... | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: a main method to track a user-defined homotopy
USAGE: S0=bertiniUserHomotopy(t, P, H, S1)
INPUTS: t:RingElement
a path variable
P: List
a list of options that set the parameters
H:List
a list of polynomials that define the homotopy
S1:List
a list of solutions to the start... | Key
bertiniUserHomotopy
(bertiniUserHomotopy, Thing, List, List, List)
Headline
a main method to track a user-defined homotopy
Usage
S0=bertiniUserHomotopy(t, P, H, S1)
Inputs
t:RingElement
a path variable
P: List
a list of options that set the parameters
H:List
a lis... | |||
Bertini_a6b596ee_bertiniComponentMemberTest | Bertini | bertiniComponentMemberTest | a main method to test whether points lie on a given variety | L = bertiniComponentMemberTest (pts, NV) | R = CC[x,y,z];
F = {(y^2+x^2+z^2-1)*x,(y^2+x^2+z^2-1)*y};
NV = bertiniPosDimSolve(F)
pts = {{0,0,0}} --z-axis
bertiniComponentMemberTest(pts, NV) | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: a main method to test whether points lie on a given variety
USAGE: L = bertiniComponentMemberTest (pts, NV)
INPUTS: pts:List
a list of points to test
NV:NumericalVariety
a numerical variety to test if points lie on a given irreducible component
OUTPUTS: L:List
entries are lists of wit... | Key
bertiniComponentMemberTest
(bertiniComponentMemberTest, List, NumericalVariety)
Headline
a main method to test whether points lie on a given variety
Usage
L = bertiniComponentMemberTest (pts, NV)
Inputs
pts:List
a list of points to test
NV:NumericalVariety
a numerical varie... | |||
Bertini_a6b596ee_(bertiniComponentMemberTest,_List,_NumericalVariety) | Bertini | (bertiniComponentMemberTest, List, NumericalVariety) | a main method to test whether points lie on a given variety | L = bertiniComponentMemberTest (pts, NV) | R = CC[x,y,z];
F = {(y^2+x^2+z^2-1)*x,(y^2+x^2+z^2-1)*y};
NV = bertiniPosDimSolve(F)
pts = {{0,0,0}} --z-axis
bertiniComponentMemberTest(pts, NV) | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: a main method to test whether points lie on a given variety
USAGE: L = bertiniComponentMemberTest (pts, NV)
INPUTS: pts:List
a list of points to test
NV:NumericalVariety
a numerical variety to test if points lie on a given irreducible component
OUTPUTS: L:List
entries are lists of wit... | Key
bertiniComponentMemberTest
(bertiniComponentMemberTest, List, NumericalVariety)
Headline
a main method to test whether points lie on a given variety
Usage
L = bertiniComponentMemberTest (pts, NV)
Inputs
pts:List
a list of points to test
NV:NumericalVariety
a numerical varie... | |||
Bertini_391d6b6d_bertiniRefineSols | Bertini | bertiniRefineSols | sharpen solutions to a prescribed number of digits | S = bertiniRefineSols(IFD, d, W, OFD)
S = bertiniRefineSols(d, W, OFD)
S = bertiniRefineSols(d, W) | R = CC[x,y];
F = {x^2-2,y^2-2};
W = bertiniZeroDimSolve (F)
S = bertiniRefineSols (100,W)
coords = coordinates S_0
coords_0 | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: sharpen solutions to a prescribed number of digits
USAGE: S = bertiniRefineSols(IFD, d, W, OFD)
S = bertiniRefineSols(d, W, OFD)
S = bertiniRefineSols(d, W)
INPUTS: IFD:String
a directory where the input file of a bertiniZeroDim solve is stored along with that runs output files
d:ZZ
... | Key
bertiniRefineSols
(bertiniRefineSols, String, ZZ, List, String)
(bertiniRefineSols, ZZ, List, String)
(bertiniRefineSols, ZZ, List)
Headline
sharpen solutions to a prescribed number of digits
Usage
S = bertiniRefineSols(IFD, d, W, OFD)
S = bertiniRefineSols(d, W, OFD)
S = bertini... | |||
Bertini_391d6b6d_(bertiniRefineSols,_String,_ZZ,_List,_String) | Bertini | (bertiniRefineSols, String, ZZ, List, String) | sharpen solutions to a prescribed number of digits | S = bertiniRefineSols(IFD, d, W, OFD)
S = bertiniRefineSols(d, W, OFD)
S = bertiniRefineSols(d, W) | R = CC[x,y];
F = {x^2-2,y^2-2};
W = bertiniZeroDimSolve (F)
S = bertiniRefineSols (100,W)
coords = coordinates S_0
coords_0 | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: sharpen solutions to a prescribed number of digits
USAGE: S = bertiniRefineSols(IFD, d, W, OFD)
S = bertiniRefineSols(d, W, OFD)
S = bertiniRefineSols(d, W)
INPUTS: IFD:String
a directory where the input file of a bertiniZeroDim solve is stored along with that runs output files
d:ZZ
... | Key
bertiniRefineSols
(bertiniRefineSols, String, ZZ, List, String)
(bertiniRefineSols, ZZ, List, String)
(bertiniRefineSols, ZZ, List)
Headline
sharpen solutions to a prescribed number of digits
Usage
S = bertiniRefineSols(IFD, d, W, OFD)
S = bertiniRefineSols(d, W, OFD)
S = bertini... | |||
Bertini_391d6b6d_(bertiniRefineSols,_ZZ,_List,_String) | Bertini | (bertiniRefineSols, ZZ, List, String) | sharpen solutions to a prescribed number of digits | S = bertiniRefineSols(IFD, d, W, OFD)
S = bertiniRefineSols(d, W, OFD)
S = bertiniRefineSols(d, W) | R = CC[x,y];
F = {x^2-2,y^2-2};
W = bertiniZeroDimSolve (F)
S = bertiniRefineSols (100,W)
coords = coordinates S_0
coords_0 | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: sharpen solutions to a prescribed number of digits
USAGE: S = bertiniRefineSols(IFD, d, W, OFD)
S = bertiniRefineSols(d, W, OFD)
S = bertiniRefineSols(d, W)
INPUTS: IFD:String
a directory where the input file of a bertiniZeroDim solve is stored along with that runs output files
d:ZZ
... | Key
bertiniRefineSols
(bertiniRefineSols, String, ZZ, List, String)
(bertiniRefineSols, ZZ, List, String)
(bertiniRefineSols, ZZ, List)
Headline
sharpen solutions to a prescribed number of digits
Usage
S = bertiniRefineSols(IFD, d, W, OFD)
S = bertiniRefineSols(d, W, OFD)
S = bertini... | |||
Bertini_391d6b6d_(bertiniRefineSols,_ZZ,_List) | Bertini | (bertiniRefineSols, ZZ, List) | sharpen solutions to a prescribed number of digits | S = bertiniRefineSols(IFD, d, W, OFD)
S = bertiniRefineSols(d, W, OFD)
S = bertiniRefineSols(d, W) | R = CC[x,y];
F = {x^2-2,y^2-2};
W = bertiniZeroDimSolve (F)
S = bertiniRefineSols (100,W)
coords = coordinates S_0
coords_0 | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: sharpen solutions to a prescribed number of digits
USAGE: S = bertiniRefineSols(IFD, d, W, OFD)
S = bertiniRefineSols(d, W, OFD)
S = bertiniRefineSols(d, W)
INPUTS: IFD:String
a directory where the input file of a bertiniZeroDim solve is stored along with that runs output files
d:ZZ
... | Key
bertiniRefineSols
(bertiniRefineSols, String, ZZ, List, String)
(bertiniRefineSols, ZZ, List, String)
(bertiniRefineSols, ZZ, List)
Headline
sharpen solutions to a prescribed number of digits
Usage
S = bertiniRefineSols(IFD, d, W, OFD)
S = bertiniRefineSols(d, W, OFD)
S = bertini... | |||
Bertini_19228c91_bertiniParameterHomotopy | Bertini | bertiniParameterHomotopy | a main method to perform a parameter homotopy in Bertini | S = bertiniParameterHomotopy(F,P,T) | dir1 := temporaryFileName(); -- build a directory to store temporary data
makeDirectory dir1;
bPH5=bertiniParameterHomotopy( {"x^2-u1"}, {u1},{{1},{2}},AffVariableGroup=>{x},OutputStyle=>"OutNone",TopDirectory=>dir1)
B0=importSolutionsFile(dir1,NameSolutionsFile=>"ph_jade_0")
B1=importSolutionsF... | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: a main method to perform a parameter homotopy in Bertini
USAGE: S = bertiniParameterHomotopy(F,P,T)
INPUTS: F:List
a list of polynomials
P:List
a list of parameter indeterminants
T:List
a list of lists of target parameter values
OUTPUTS: S:List
a list whose entries are lists... | Key
bertiniParameterHomotopy
(bertiniParameterHomotopy,List,List,List)
Headline
a main method to perform a parameter homotopy in Bertini
Usage
S = bertiniParameterHomotopy(F,P,T)
Inputs
F:List
a list of polynomials
P:List
a list of parameter indeterminants
T:List
a li... | |||
Bertini_19228c91_(bertiniParameterHomotopy,List,List,List) | Bertini | (bertiniParameterHomotopy,List,List,List) | a main method to perform a parameter homotopy in Bertini | S = bertiniParameterHomotopy(F,P,T) | dir1 := temporaryFileName(); -- build a directory to store temporary data
makeDirectory dir1;
bPH5=bertiniParameterHomotopy( {"x^2-u1"}, {u1},{{1},{2}},AffVariableGroup=>{x},OutputStyle=>"OutNone",TopDirectory=>dir1)
B0=importSolutionsFile(dir1,NameSolutionsFile=>"ph_jade_0")
B1=importSolutionsF... | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: a main method to perform a parameter homotopy in Bertini
USAGE: S = bertiniParameterHomotopy(F,P,T)
INPUTS: F:List
a list of polynomials
P:List
a list of parameter indeterminants
T:List
a list of lists of target parameter values
OUTPUTS: S:List
a list whose entries are lists... | Key
bertiniParameterHomotopy
(bertiniParameterHomotopy,List,List,List)
Headline
a main method to perform a parameter homotopy in Bertini
Usage
S = bertiniParameterHomotopy(F,P,T)
Inputs
F:List
a list of polynomials
P:List
a list of parameter indeterminants
T:List
a li... | |||
Bertini_17f42274_makeB'InputFile | Bertini | makeB'InputFile | write a Bertini input file in a directory | makeB'InputFile(s) | R=QQ[x1,x2,y,X]
makeB'InputFile(theDir,
BertiniInputConfiguration=>{MPype=>2},
AffVariableGroup=>{{x1,x2},{y}},
B'Polynomials=>{y*X^2+1,x1-x2+1,y-2},
B'Functions=>{
{X,x1+x2+1}}); | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: write a Bertini input file in a directory
USAGE: makeB'InputFile(s)
INPUTS: s:String
a directory where the input file will be written
EXAMPLE CODE:
```macaulay2
R=QQ[x1,x2,y,X]
makeB'InputFile(theDir,
BertiniInputConfiguration=>{MPype=>2},
AffVariableGroup=>{{x1,x2},{y}},
... | Key
makeB'InputFile
(makeB'InputFile,String)
Headline
write a Bertini input file in a directory
Usage
makeB'InputFile(s)
Inputs
s:String
a directory where the input file will be written
Description
Text
This function writes a Bertini input file.
The user can specify CON... | |||
Bertini_17f42274_(makeB'InputFile,String) | Bertini | (makeB'InputFile,String) | write a Bertini input file in a directory | makeB'InputFile(s) | R=QQ[x1,x2,y,X]
makeB'InputFile(theDir,
BertiniInputConfiguration=>{MPype=>2},
AffVariableGroup=>{{x1,x2},{y}},
B'Polynomials=>{y*X^2+1,x1-x2+1,y-2},
B'Functions=>{
{X,x1+x2+1}}); | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: write a Bertini input file in a directory
USAGE: makeB'InputFile(s)
INPUTS: s:String
a directory where the input file will be written
EXAMPLE CODE:
```macaulay2
R=QQ[x1,x2,y,X]
makeB'InputFile(theDir,
BertiniInputConfiguration=>{MPype=>2},
AffVariableGroup=>{{x1,x2},{y}},
... | Key
makeB'InputFile
(makeB'InputFile,String)
Headline
write a Bertini input file in a directory
Usage
makeB'InputFile(s)
Inputs
s:String
a directory where the input file will be written
Description
Text
This function writes a Bertini input file.
The user can specify CON... | |||
Bertini_1b3348fe_writeStartFile | Bertini | writeStartFile | Writes the list of list of coordinates to a file that Bertini can read. | writeStartFile(s,v) | coordinatesOfTwoPnts={{1,0},{3,4}}
writeStartFile(storeBM2Files,coordinatesOfTwoPnts); | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: Writes the list of list of coordinates to a file that Bertini can read.
USAGE: writeStartFile(s,v)
INPUTS: s:String
The directory where the Bertini file will be written.
v:List
A list of list numbers that will be written to the file.
EXAMPLE CODE:
```macaulay2
coordinatesOfTwoPnts={{1,0},{3... | Key
writeStartFile
(writeStartFile,String,List)
Headline
Writes the list of list of coordinates to a file that Bertini can read.
Usage
writeStartFile(s,v)
Inputs
s:String
The directory where the Bertini file will be written.
v:List
A list of list numbers that will be written to... | |||
Bertini_1b3348fe_(writeStartFile,String,List) | Bertini | (writeStartFile,String,List) | Writes the list of list of coordinates to a file that Bertini can read. | writeStartFile(s,v) | coordinatesOfTwoPnts={{1,0},{3,4}}
writeStartFile(storeBM2Files,coordinatesOfTwoPnts); | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: Writes the list of list of coordinates to a file that Bertini can read.
USAGE: writeStartFile(s,v)
INPUTS: s:String
The directory where the Bertini file will be written.
v:List
A list of list numbers that will be written to the file.
EXAMPLE CODE:
```macaulay2
coordinatesOfTwoPnts={{1,0},{3... | Key
writeStartFile
(writeStartFile,String,List)
Headline
Writes the list of list of coordinates to a file that Bertini can read.
Usage
writeStartFile(s,v)
Inputs
s:String
The directory where the Bertini file will be written.
v:List
A list of list numbers that will be written to... | |||
Bertini_285a73b6_importSolutionsFile | Bertini | importSolutionsFile | Imports coordinates from a Bertini solution file. | importSolutionsFile(s) | R=QQ[x,y]
makeB'InputFile(storeBM2Files,
AffVariableGroup=>{{x,y}},
B'Polynomials=>{x^2-1,y^3-1});
runBertini(storeBM2Files)
importSolutionsFile(storeBM2Files)
importSolutionsFile(storeBM2Files,NameSolutionsFile=>"real_finite_solutions")
importSolutionsFile(storeBM2Files,NameSolutionsF... | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: Imports coordinates from a Bertini solution file.
USAGE: importSolutionsFile(s)
INPUTS: s:String
The directory where the file is stored.
EXAMPLE CODE:
```macaulay2
R=QQ[x,y]
makeB'InputFile(storeBM2Files,
AffVariableGroup=>{{x,y}},
B'Polynomials=>{x^2-1,y^3-1});
runBertini(storeBM2F... | Key
importSolutionsFile
(importSolutionsFile,String)
Headline
Imports coordinates from a Bertini solution file.
Usage
importSolutionsFile(s)
Inputs
s:String
The directory where the file is stored.
Description
Text
After Bertini does a run many files are created.
This function import... | |||
Bertini_285a73b6_(importSolutionsFile,String) | Bertini | (importSolutionsFile,String) | Imports coordinates from a Bertini solution file. | importSolutionsFile(s) | R=QQ[x,y]
makeB'InputFile(storeBM2Files,
AffVariableGroup=>{{x,y}},
B'Polynomials=>{x^2-1,y^3-1});
runBertini(storeBM2Files)
importSolutionsFile(storeBM2Files)
importSolutionsFile(storeBM2Files,NameSolutionsFile=>"real_finite_solutions")
importSolutionsFile(storeBM2Files,NameSolutionsF... | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: Imports coordinates from a Bertini solution file.
USAGE: importSolutionsFile(s)
INPUTS: s:String
The directory where the file is stored.
EXAMPLE CODE:
```macaulay2
R=QQ[x,y]
makeB'InputFile(storeBM2Files,
AffVariableGroup=>{{x,y}},
B'Polynomials=>{x^2-1,y^3-1});
runBertini(storeBM2F... | Key
importSolutionsFile
(importSolutionsFile,String)
Headline
Imports coordinates from a Bertini solution file.
Usage
importSolutionsFile(s)
Inputs
s:String
The directory where the file is stored.
Description
Text
After Bertini does a run many files are created.
This function import... | |||
Bertini_57215af4_importParameterFile | Bertini | importParameterFile | Imports parameters from a Bertini parameter file. | importParameterFile(s) | writeParameterFile(storeBM2Files,{1,2},NameParameterFile=>"final_parameters");
importParameterFile(storeBM2Files) | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: Imports parameters from a Bertini parameter file.
USAGE: importParameterFile(s)
INPUTS: s:String
The directory where the file is stored.
EXAMPLE CODE:
```macaulay2
writeParameterFile(storeBM2Files,{1,2},NameParameterFile=>"final_parameters");
importParameterFile(storeBM2Files)
``` | Key
importParameterFile
(importParameterFile,String)
Headline
Imports parameters from a Bertini parameter file.
Usage
importParameterFile(s)
Inputs
s:String
The directory where the file is stored.
Description
Text
After Bertini does a parameter homotopy many files are created.
This ... | |||
Bertini_57215af4_(importParameterFile,String) | Bertini | (importParameterFile,String) | Imports parameters from a Bertini parameter file. | importParameterFile(s) | writeParameterFile(storeBM2Files,{1,2},NameParameterFile=>"final_parameters");
importParameterFile(storeBM2Files) | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: Imports parameters from a Bertini parameter file.
USAGE: importParameterFile(s)
INPUTS: s:String
The directory where the file is stored.
EXAMPLE CODE:
```macaulay2
writeParameterFile(storeBM2Files,{1,2},NameParameterFile=>"final_parameters");
importParameterFile(storeBM2Files)
``` | Key
importParameterFile
(importParameterFile,String)
Headline
Imports parameters from a Bertini parameter file.
Usage
importParameterFile(s)
Inputs
s:String
The directory where the file is stored.
Description
Text
After Bertini does a parameter homotopy many files are created.
This ... | |||
Bertini_22a6aade_importMainDataFile | Bertini | importMainDataFile | This function imports points from the main data file form a Bertini run. | importMainDataFile(theDir) | makeB'InputFile(storeBM2Files,
AffVariableGroup=>{x,y,z},
BertiniInputConfiguration=>{{TrackType,1}},
B'Polynomials=>{"(x^2+y^2+z^2-1)*y"});
runBertini(storeBM2Files)
thePoints=importMainDataFile(storeBM2Files)
witnessPointsDim1= importMainDataFile(storeBM2Files,SpecifyDim=>1)--We ca... | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: This function imports points from the main data file form a Bertini run.
USAGE: importMainDataFile(theDir)
INPUTS: theDir:String
The directory where the main_data file is located.
EXAMPLE CODE:
```macaulay2
makeB'InputFile(storeBM2Files,
AffVariableGroup=>{x,y,z},
BertiniInputConfigurati... | Key
importMainDataFile
(importMainDataFile,String)
Headline
This function imports points from the main data file form a Bertini run.
Usage
importMainDataFile(theDir)
Inputs
theDir:String
The directory where the main_data file is located.
Description
Text
This function does not import a l... | |||
Bertini_22a6aade_(importMainDataFile,String) | Bertini | (importMainDataFile,String) | This function imports points from the main data file form a Bertini run. | importMainDataFile(theDir) | makeB'InputFile(storeBM2Files,
AffVariableGroup=>{x,y,z},
BertiniInputConfiguration=>{{TrackType,1}},
B'Polynomials=>{"(x^2+y^2+z^2-1)*y"});
runBertini(storeBM2Files)
thePoints=importMainDataFile(storeBM2Files)
witnessPointsDim1= importMainDataFile(storeBM2Files,SpecifyDim=>1)--We ca... | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: This function imports points from the main data file form a Bertini run.
USAGE: importMainDataFile(theDir)
INPUTS: theDir:String
The directory where the main_data file is located.
EXAMPLE CODE:
```macaulay2
makeB'InputFile(storeBM2Files,
AffVariableGroup=>{x,y,z},
BertiniInputConfigurati... | Key
importMainDataFile
(importMainDataFile,String)
Headline
This function imports points from the main data file form a Bertini run.
Usage
importMainDataFile(theDir)
Inputs
theDir:String
The directory where the main_data file is located.
Description
Text
This function does not import a l... | |||
Bertini_098f2680_importIncidenceMatrix | Bertini | importIncidenceMatrix | Imports an incidence matrix file after running makeMembershipFile. | importIncidenceMatrix(s) | makeB'InputFile(storeBM2Files,
BertiniInputConfiguration=>{{TrackType,1}}, AffVariableGroup=>{x,y,z}, B'Polynomials=>{"z*((x+y+z)^3-1)","z*(y^2-3+z)"} );
runBertini(storeBM2Files)
makeSampleSolutionsFile(storeBM2Files,2,SpecifyComponent=>{1,0})
makeMembershipFile(storeBM2Files,NameSolutionsFil... | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: Imports an incidence matrix file after running makeMembershipFile.
USAGE: importIncidenceMatrix(s)
INPUTS: s:String
The directory where the file is stored.
EXAMPLE CODE:
```macaulay2
makeB'InputFile(storeBM2Files,
BertiniInputConfiguration=>{{TrackType,1}}, AffVariableGroup=>{x,y,z}, B'Poly... | Key
importIncidenceMatrix
(importIncidenceMatrix,String)
Headline
Imports an incidence matrix file after running makeMembershipFile.
Usage
importIncidenceMatrix(s)
Inputs
s:String
The directory where the file is stored.
Description
Text
After running makeMembershipFile Bertini produces a... | |||
Bertini_098f2680_(importIncidenceMatrix,String) | Bertini | (importIncidenceMatrix,String) | Imports an incidence matrix file after running makeMembershipFile. | importIncidenceMatrix(s) | makeB'InputFile(storeBM2Files,
BertiniInputConfiguration=>{{TrackType,1}}, AffVariableGroup=>{x,y,z}, B'Polynomials=>{"z*((x+y+z)^3-1)","z*(y^2-3+z)"} );
runBertini(storeBM2Files)
makeSampleSolutionsFile(storeBM2Files,2,SpecifyComponent=>{1,0})
makeMembershipFile(storeBM2Files,NameSolutionsFil... | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: Imports an incidence matrix file after running makeMembershipFile.
USAGE: importIncidenceMatrix(s)
INPUTS: s:String
The directory where the file is stored.
EXAMPLE CODE:
```macaulay2
makeB'InputFile(storeBM2Files,
BertiniInputConfiguration=>{{TrackType,1}}, AffVariableGroup=>{x,y,z}, B'Poly... | Key
importIncidenceMatrix
(importIncidenceMatrix,String)
Headline
Imports an incidence matrix file after running makeMembershipFile.
Usage
importIncidenceMatrix(s)
Inputs
s:String
The directory where the file is stored.
Description
Text
After running makeMembershipFile Bertini produces a... | |||
Bertini_a4e01103_IsProjective | Bertini | IsProjective | optional argument to specify whether to use homogeneous coordinates | R = CC[x,y,z];
f = {(x^2+y^2-z^2)*(z-x),(x^2+y^2-z^2)*(z+y)};
bertiniPosDimSolve(f,IsProjective=>1); | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: optional argument to specify whether to use homogeneous coordinates
EXAMPLE CODE:
```macaulay2
R = CC[x,y,z];
f = {(x^2+y^2-z^2)*(z-x),(x^2+y^2-z^2)*(z+y)};
bertiniPosDimSolve(f,IsProjective=>1);
``` | Key
IsProjective
[bertiniTrackHomotopy, IsProjective]
-- [bertiniParameterHomotopy, IsProjective]
[bertiniComponentMemberTest, IsProjective]
[bertiniPosDimSolve, IsProjective]
[bertiniRefineSols, IsProjective]
[bertiniSample, IsProjective]
-- [bertiniZeroDimSolve, IsProjective]
Hea... | ||||
Bertini_a4e01103_[bertiniTrackHomotopy,_IsProjective] | Bertini | [bertiniTrackHomotopy, IsProjective] | optional argument to specify whether to use homogeneous coordinates | R = CC[x,y,z];
f = {(x^2+y^2-z^2)*(z-x),(x^2+y^2-z^2)*(z+y)};
bertiniPosDimSolve(f,IsProjective=>1); | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: optional argument to specify whether to use homogeneous coordinates
EXAMPLE CODE:
```macaulay2
R = CC[x,y,z];
f = {(x^2+y^2-z^2)*(z-x),(x^2+y^2-z^2)*(z+y)};
bertiniPosDimSolve(f,IsProjective=>1);
``` | Key
IsProjective
[bertiniTrackHomotopy, IsProjective]
-- [bertiniParameterHomotopy, IsProjective]
[bertiniComponentMemberTest, IsProjective]
[bertiniPosDimSolve, IsProjective]
[bertiniRefineSols, IsProjective]
[bertiniSample, IsProjective]
-- [bertiniZeroDimSolve, IsProjective]
Hea... | ||||
Bertini_a4e01103_--___[bertiniParameterHomotopy,_IsProjective] | Bertini | -- [bertiniParameterHomotopy, IsProjective] | optional argument to specify whether to use homogeneous coordinates | R = CC[x,y,z];
f = {(x^2+y^2-z^2)*(z-x),(x^2+y^2-z^2)*(z+y)};
bertiniPosDimSolve(f,IsProjective=>1); | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: optional argument to specify whether to use homogeneous coordinates
EXAMPLE CODE:
```macaulay2
R = CC[x,y,z];
f = {(x^2+y^2-z^2)*(z-x),(x^2+y^2-z^2)*(z+y)};
bertiniPosDimSolve(f,IsProjective=>1);
``` | Key
IsProjective
[bertiniTrackHomotopy, IsProjective]
-- [bertiniParameterHomotopy, IsProjective]
[bertiniComponentMemberTest, IsProjective]
[bertiniPosDimSolve, IsProjective]
[bertiniRefineSols, IsProjective]
[bertiniSample, IsProjective]
-- [bertiniZeroDimSolve, IsProjective]
Hea... | ||||
Bertini_a4e01103_[bertiniComponentMemberTest,_IsProjective] | Bertini | [bertiniComponentMemberTest, IsProjective] | optional argument to specify whether to use homogeneous coordinates | R = CC[x,y,z];
f = {(x^2+y^2-z^2)*(z-x),(x^2+y^2-z^2)*(z+y)};
bertiniPosDimSolve(f,IsProjective=>1); | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: optional argument to specify whether to use homogeneous coordinates
EXAMPLE CODE:
```macaulay2
R = CC[x,y,z];
f = {(x^2+y^2-z^2)*(z-x),(x^2+y^2-z^2)*(z+y)};
bertiniPosDimSolve(f,IsProjective=>1);
``` | Key
IsProjective
[bertiniTrackHomotopy, IsProjective]
-- [bertiniParameterHomotopy, IsProjective]
[bertiniComponentMemberTest, IsProjective]
[bertiniPosDimSolve, IsProjective]
[bertiniRefineSols, IsProjective]
[bertiniSample, IsProjective]
-- [bertiniZeroDimSolve, IsProjective]
Hea... | ||||
Bertini_a4e01103_[bertiniPosDimSolve,_IsProjective] | Bertini | [bertiniPosDimSolve, IsProjective] | optional argument to specify whether to use homogeneous coordinates | R = CC[x,y,z];
f = {(x^2+y^2-z^2)*(z-x),(x^2+y^2-z^2)*(z+y)};
bertiniPosDimSolve(f,IsProjective=>1); | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: optional argument to specify whether to use homogeneous coordinates
EXAMPLE CODE:
```macaulay2
R = CC[x,y,z];
f = {(x^2+y^2-z^2)*(z-x),(x^2+y^2-z^2)*(z+y)};
bertiniPosDimSolve(f,IsProjective=>1);
``` | Key
IsProjective
[bertiniTrackHomotopy, IsProjective]
-- [bertiniParameterHomotopy, IsProjective]
[bertiniComponentMemberTest, IsProjective]
[bertiniPosDimSolve, IsProjective]
[bertiniRefineSols, IsProjective]
[bertiniSample, IsProjective]
-- [bertiniZeroDimSolve, IsProjective]
Hea... | ||||
Bertini_a4e01103_[bertiniRefineSols,_IsProjective] | Bertini | [bertiniRefineSols, IsProjective] | optional argument to specify whether to use homogeneous coordinates | R = CC[x,y,z];
f = {(x^2+y^2-z^2)*(z-x),(x^2+y^2-z^2)*(z+y)};
bertiniPosDimSolve(f,IsProjective=>1); | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: optional argument to specify whether to use homogeneous coordinates
EXAMPLE CODE:
```macaulay2
R = CC[x,y,z];
f = {(x^2+y^2-z^2)*(z-x),(x^2+y^2-z^2)*(z+y)};
bertiniPosDimSolve(f,IsProjective=>1);
``` | Key
IsProjective
[bertiniTrackHomotopy, IsProjective]
-- [bertiniParameterHomotopy, IsProjective]
[bertiniComponentMemberTest, IsProjective]
[bertiniPosDimSolve, IsProjective]
[bertiniRefineSols, IsProjective]
[bertiniSample, IsProjective]
-- [bertiniZeroDimSolve, IsProjective]
Hea... | ||||
Bertini_a4e01103_[bertiniSample,_IsProjective] | Bertini | [bertiniSample, IsProjective] | optional argument to specify whether to use homogeneous coordinates | R = CC[x,y,z];
f = {(x^2+y^2-z^2)*(z-x),(x^2+y^2-z^2)*(z+y)};
bertiniPosDimSolve(f,IsProjective=>1); | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: optional argument to specify whether to use homogeneous coordinates
EXAMPLE CODE:
```macaulay2
R = CC[x,y,z];
f = {(x^2+y^2-z^2)*(z-x),(x^2+y^2-z^2)*(z+y)};
bertiniPosDimSolve(f,IsProjective=>1);
``` | Key
IsProjective
[bertiniTrackHomotopy, IsProjective]
-- [bertiniParameterHomotopy, IsProjective]
[bertiniComponentMemberTest, IsProjective]
[bertiniPosDimSolve, IsProjective]
[bertiniRefineSols, IsProjective]
[bertiniSample, IsProjective]
-- [bertiniZeroDimSolve, IsProjective]
Hea... | ||||
Bertini_a4e01103_--___[bertiniZeroDimSolve,_IsProjective] | Bertini | -- [bertiniZeroDimSolve, IsProjective] | optional argument to specify whether to use homogeneous coordinates | R = CC[x,y,z];
f = {(x^2+y^2-z^2)*(z-x),(x^2+y^2-z^2)*(z+y)};
bertiniPosDimSolve(f,IsProjective=>1); | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: optional argument to specify whether to use homogeneous coordinates
EXAMPLE CODE:
```macaulay2
R = CC[x,y,z];
f = {(x^2+y^2-z^2)*(z-x),(x^2+y^2-z^2)*(z+y)};
bertiniPosDimSolve(f,IsProjective=>1);
``` | Key
IsProjective
[bertiniTrackHomotopy, IsProjective]
-- [bertiniParameterHomotopy, IsProjective]
[bertiniComponentMemberTest, IsProjective]
[bertiniPosDimSolve, IsProjective]
[bertiniRefineSols, IsProjective]
[bertiniSample, IsProjective]
-- [bertiniZeroDimSolve, IsProjective]
Hea... | ||||
Bertini_d45931e4_"Variable_groups" | Bertini | "Variable groups" | an option to group variables and use multihomogeneous homotopies | R = CC[x,y];
F1 = {x*y+1,2*x*y+3*x+4*y+5};
bertiniZeroDimSolve(F1, AffVariableGroup=>{{x},{y}});
hR =CC[x0,x1,y0,y1]
F2 = {x1*y1+x0*y0,2*x1*y1+3*x1*y0+4*x0*y1+5*x0*y0};
bertiniZeroDimSolve(F2,HomVariableGroup=>{{x0,x1},{y0,y1}}); | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: an option to group variables and use multihomogeneous homotopies
EXAMPLE CODE:
```macaulay2
R = CC[x,y];
F1 = {x*y+1,2*x*y+3*x+4*y+5};
bertiniZeroDimSolve(F1, AffVariableGroup=>{{x},{y}});
hR =CC[x0,x1,y0,y1]
F2 = {x1*y1+x0*y0,2*x1*y1+3*x1*y0+4*x0*y1+5*x0*y0};
bertiniZeroDimSolv... | Key
"Variable groups"
AffVariableGroup
HomVariableGroup
[bertiniParameterHomotopy, AffVariableGroup]
[bertiniParameterHomotopy, HomVariableGroup]
[makeB'InputFile, AffVariableGroup]
[makeB'InputFile, HomVariableGroup]
[bertiniZeroDimSolve,HomVariableGroup]
[bertiniZeroDimSolve,AffVar... | ||||
Bertini_d45931e4_AffVariableGroup | Bertini | AffVariableGroup | an option to group variables and use multihomogeneous homotopies | R = CC[x,y];
F1 = {x*y+1,2*x*y+3*x+4*y+5};
bertiniZeroDimSolve(F1, AffVariableGroup=>{{x},{y}});
hR =CC[x0,x1,y0,y1]
F2 = {x1*y1+x0*y0,2*x1*y1+3*x1*y0+4*x0*y1+5*x0*y0};
bertiniZeroDimSolve(F2,HomVariableGroup=>{{x0,x1},{y0,y1}}); | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: an option to group variables and use multihomogeneous homotopies
EXAMPLE CODE:
```macaulay2
R = CC[x,y];
F1 = {x*y+1,2*x*y+3*x+4*y+5};
bertiniZeroDimSolve(F1, AffVariableGroup=>{{x},{y}});
hR =CC[x0,x1,y0,y1]
F2 = {x1*y1+x0*y0,2*x1*y1+3*x1*y0+4*x0*y1+5*x0*y0};
bertiniZeroDimSolv... | Key
"Variable groups"
AffVariableGroup
HomVariableGroup
[bertiniParameterHomotopy, AffVariableGroup]
[bertiniParameterHomotopy, HomVariableGroup]
[makeB'InputFile, AffVariableGroup]
[makeB'InputFile, HomVariableGroup]
[bertiniZeroDimSolve,HomVariableGroup]
[bertiniZeroDimSolve,AffVar... | ||||
Bertini_d45931e4_HomVariableGroup | Bertini | HomVariableGroup | an option to group variables and use multihomogeneous homotopies | R = CC[x,y];
F1 = {x*y+1,2*x*y+3*x+4*y+5};
bertiniZeroDimSolve(F1, AffVariableGroup=>{{x},{y}});
hR =CC[x0,x1,y0,y1]
F2 = {x1*y1+x0*y0,2*x1*y1+3*x1*y0+4*x0*y1+5*x0*y0};
bertiniZeroDimSolve(F2,HomVariableGroup=>{{x0,x1},{y0,y1}}); | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: an option to group variables and use multihomogeneous homotopies
EXAMPLE CODE:
```macaulay2
R = CC[x,y];
F1 = {x*y+1,2*x*y+3*x+4*y+5};
bertiniZeroDimSolve(F1, AffVariableGroup=>{{x},{y}});
hR =CC[x0,x1,y0,y1]
F2 = {x1*y1+x0*y0,2*x1*y1+3*x1*y0+4*x0*y1+5*x0*y0};
bertiniZeroDimSolv... | Key
"Variable groups"
AffVariableGroup
HomVariableGroup
[bertiniParameterHomotopy, AffVariableGroup]
[bertiniParameterHomotopy, HomVariableGroup]
[makeB'InputFile, AffVariableGroup]
[makeB'InputFile, HomVariableGroup]
[bertiniZeroDimSolve,HomVariableGroup]
[bertiniZeroDimSolve,AffVar... | ||||
Bertini_d45931e4_[bertiniParameterHomotopy,_AffVariableGroup] | Bertini | [bertiniParameterHomotopy, AffVariableGroup] | an option to group variables and use multihomogeneous homotopies | R = CC[x,y];
F1 = {x*y+1,2*x*y+3*x+4*y+5};
bertiniZeroDimSolve(F1, AffVariableGroup=>{{x},{y}});
hR =CC[x0,x1,y0,y1]
F2 = {x1*y1+x0*y0,2*x1*y1+3*x1*y0+4*x0*y1+5*x0*y0};
bertiniZeroDimSolve(F2,HomVariableGroup=>{{x0,x1},{y0,y1}}); | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: an option to group variables and use multihomogeneous homotopies
EXAMPLE CODE:
```macaulay2
R = CC[x,y];
F1 = {x*y+1,2*x*y+3*x+4*y+5};
bertiniZeroDimSolve(F1, AffVariableGroup=>{{x},{y}});
hR =CC[x0,x1,y0,y1]
F2 = {x1*y1+x0*y0,2*x1*y1+3*x1*y0+4*x0*y1+5*x0*y0};
bertiniZeroDimSolv... | Key
"Variable groups"
AffVariableGroup
HomVariableGroup
[bertiniParameterHomotopy, AffVariableGroup]
[bertiniParameterHomotopy, HomVariableGroup]
[makeB'InputFile, AffVariableGroup]
[makeB'InputFile, HomVariableGroup]
[bertiniZeroDimSolve,HomVariableGroup]
[bertiniZeroDimSolve,AffVar... | ||||
Bertini_d45931e4_[bertiniParameterHomotopy,_HomVariableGroup] | Bertini | [bertiniParameterHomotopy, HomVariableGroup] | an option to group variables and use multihomogeneous homotopies | R = CC[x,y];
F1 = {x*y+1,2*x*y+3*x+4*y+5};
bertiniZeroDimSolve(F1, AffVariableGroup=>{{x},{y}});
hR =CC[x0,x1,y0,y1]
F2 = {x1*y1+x0*y0,2*x1*y1+3*x1*y0+4*x0*y1+5*x0*y0};
bertiniZeroDimSolve(F2,HomVariableGroup=>{{x0,x1},{y0,y1}}); | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: an option to group variables and use multihomogeneous homotopies
EXAMPLE CODE:
```macaulay2
R = CC[x,y];
F1 = {x*y+1,2*x*y+3*x+4*y+5};
bertiniZeroDimSolve(F1, AffVariableGroup=>{{x},{y}});
hR =CC[x0,x1,y0,y1]
F2 = {x1*y1+x0*y0,2*x1*y1+3*x1*y0+4*x0*y1+5*x0*y0};
bertiniZeroDimSolv... | Key
"Variable groups"
AffVariableGroup
HomVariableGroup
[bertiniParameterHomotopy, AffVariableGroup]
[bertiniParameterHomotopy, HomVariableGroup]
[makeB'InputFile, AffVariableGroup]
[makeB'InputFile, HomVariableGroup]
[bertiniZeroDimSolve,HomVariableGroup]
[bertiniZeroDimSolve,AffVar... | ||||
Bertini_d45931e4_[makeB'InputFile,_AffVariableGroup] | Bertini | [makeB'InputFile, AffVariableGroup] | an option to group variables and use multihomogeneous homotopies | R = CC[x,y];
F1 = {x*y+1,2*x*y+3*x+4*y+5};
bertiniZeroDimSolve(F1, AffVariableGroup=>{{x},{y}});
hR =CC[x0,x1,y0,y1]
F2 = {x1*y1+x0*y0,2*x1*y1+3*x1*y0+4*x0*y1+5*x0*y0};
bertiniZeroDimSolve(F2,HomVariableGroup=>{{x0,x1},{y0,y1}}); | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: an option to group variables and use multihomogeneous homotopies
EXAMPLE CODE:
```macaulay2
R = CC[x,y];
F1 = {x*y+1,2*x*y+3*x+4*y+5};
bertiniZeroDimSolve(F1, AffVariableGroup=>{{x},{y}});
hR =CC[x0,x1,y0,y1]
F2 = {x1*y1+x0*y0,2*x1*y1+3*x1*y0+4*x0*y1+5*x0*y0};
bertiniZeroDimSolv... | Key
"Variable groups"
AffVariableGroup
HomVariableGroup
[bertiniParameterHomotopy, AffVariableGroup]
[bertiniParameterHomotopy, HomVariableGroup]
[makeB'InputFile, AffVariableGroup]
[makeB'InputFile, HomVariableGroup]
[bertiniZeroDimSolve,HomVariableGroup]
[bertiniZeroDimSolve,AffVar... | ||||
Bertini_d45931e4_[makeB'InputFile,_HomVariableGroup] | Bertini | [makeB'InputFile, HomVariableGroup] | an option to group variables and use multihomogeneous homotopies | R = CC[x,y];
F1 = {x*y+1,2*x*y+3*x+4*y+5};
bertiniZeroDimSolve(F1, AffVariableGroup=>{{x},{y}});
hR =CC[x0,x1,y0,y1]
F2 = {x1*y1+x0*y0,2*x1*y1+3*x1*y0+4*x0*y1+5*x0*y0};
bertiniZeroDimSolve(F2,HomVariableGroup=>{{x0,x1},{y0,y1}}); | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: an option to group variables and use multihomogeneous homotopies
EXAMPLE CODE:
```macaulay2
R = CC[x,y];
F1 = {x*y+1,2*x*y+3*x+4*y+5};
bertiniZeroDimSolve(F1, AffVariableGroup=>{{x},{y}});
hR =CC[x0,x1,y0,y1]
F2 = {x1*y1+x0*y0,2*x1*y1+3*x1*y0+4*x0*y1+5*x0*y0};
bertiniZeroDimSolv... | Key
"Variable groups"
AffVariableGroup
HomVariableGroup
[bertiniParameterHomotopy, AffVariableGroup]
[bertiniParameterHomotopy, HomVariableGroup]
[makeB'InputFile, AffVariableGroup]
[makeB'InputFile, HomVariableGroup]
[bertiniZeroDimSolve,HomVariableGroup]
[bertiniZeroDimSolve,AffVar... | ||||
Bertini_d45931e4_[bertiniZeroDimSolve,HomVariableGroup] | Bertini | [bertiniZeroDimSolve,HomVariableGroup] | an option to group variables and use multihomogeneous homotopies | R = CC[x,y];
F1 = {x*y+1,2*x*y+3*x+4*y+5};
bertiniZeroDimSolve(F1, AffVariableGroup=>{{x},{y}});
hR =CC[x0,x1,y0,y1]
F2 = {x1*y1+x0*y0,2*x1*y1+3*x1*y0+4*x0*y1+5*x0*y0};
bertiniZeroDimSolve(F2,HomVariableGroup=>{{x0,x1},{y0,y1}}); | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: an option to group variables and use multihomogeneous homotopies
EXAMPLE CODE:
```macaulay2
R = CC[x,y];
F1 = {x*y+1,2*x*y+3*x+4*y+5};
bertiniZeroDimSolve(F1, AffVariableGroup=>{{x},{y}});
hR =CC[x0,x1,y0,y1]
F2 = {x1*y1+x0*y0,2*x1*y1+3*x1*y0+4*x0*y1+5*x0*y0};
bertiniZeroDimSolv... | Key
"Variable groups"
AffVariableGroup
HomVariableGroup
[bertiniParameterHomotopy, AffVariableGroup]
[bertiniParameterHomotopy, HomVariableGroup]
[makeB'InputFile, AffVariableGroup]
[makeB'InputFile, HomVariableGroup]
[bertiniZeroDimSolve,HomVariableGroup]
[bertiniZeroDimSolve,AffVar... | ||||
Bertini_d45931e4_[bertiniZeroDimSolve,AffVariableGroup] | Bertini | [bertiniZeroDimSolve,AffVariableGroup] | an option to group variables and use multihomogeneous homotopies | R = CC[x,y];
F1 = {x*y+1,2*x*y+3*x+4*y+5};
bertiniZeroDimSolve(F1, AffVariableGroup=>{{x},{y}});
hR =CC[x0,x1,y0,y1]
F2 = {x1*y1+x0*y0,2*x1*y1+3*x1*y0+4*x0*y1+5*x0*y0};
bertiniZeroDimSolve(F2,HomVariableGroup=>{{x0,x1},{y0,y1}}); | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: an option to group variables and use multihomogeneous homotopies
EXAMPLE CODE:
```macaulay2
R = CC[x,y];
F1 = {x*y+1,2*x*y+3*x+4*y+5};
bertiniZeroDimSolve(F1, AffVariableGroup=>{{x},{y}});
hR =CC[x0,x1,y0,y1]
F2 = {x1*y1+x0*y0,2*x1*y1+3*x1*y0+4*x0*y1+5*x0*y0};
bertiniZeroDimSolv... | Key
"Variable groups"
AffVariableGroup
HomVariableGroup
[bertiniParameterHomotopy, AffVariableGroup]
[bertiniParameterHomotopy, HomVariableGroup]
[makeB'InputFile, AffVariableGroup]
[makeB'InputFile, HomVariableGroup]
[bertiniZeroDimSolve,HomVariableGroup]
[bertiniZeroDimSolve,AffVar... | ||||
Bertini_d45931e4_[bertiniUserHomotopy,AffVariableGroup] | Bertini | [bertiniUserHomotopy,AffVariableGroup] | an option to group variables and use multihomogeneous homotopies | R = CC[x,y];
F1 = {x*y+1,2*x*y+3*x+4*y+5};
bertiniZeroDimSolve(F1, AffVariableGroup=>{{x},{y}});
hR =CC[x0,x1,y0,y1]
F2 = {x1*y1+x0*y0,2*x1*y1+3*x1*y0+4*x0*y1+5*x0*y0};
bertiniZeroDimSolve(F2,HomVariableGroup=>{{x0,x1},{y0,y1}}); | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: an option to group variables and use multihomogeneous homotopies
EXAMPLE CODE:
```macaulay2
R = CC[x,y];
F1 = {x*y+1,2*x*y+3*x+4*y+5};
bertiniZeroDimSolve(F1, AffVariableGroup=>{{x},{y}});
hR =CC[x0,x1,y0,y1]
F2 = {x1*y1+x0*y0,2*x1*y1+3*x1*y0+4*x0*y1+5*x0*y0};
bertiniZeroDimSolv... | Key
"Variable groups"
AffVariableGroup
HomVariableGroup
[bertiniParameterHomotopy, AffVariableGroup]
[bertiniParameterHomotopy, HomVariableGroup]
[makeB'InputFile, AffVariableGroup]
[makeB'InputFile, HomVariableGroup]
[bertiniZeroDimSolve,HomVariableGroup]
[bertiniZeroDimSolve,AffVar... | ||||
Bertini_748f7554_"Bertini_input_configuration" | Bertini | "Bertini input configuration" | a configuration option for a Bertini input file | opts = new OptionTable from {BertiniInputConfiguration=>{RandomSeed=>0,TrackTolBeforeEG=>1e-6,FinalTol=>1e-100}}
G = {x^2+y^2-1};
bertiniPosDimSolve(G,opts) | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: a configuration option for a Bertini input file
EXAMPLE CODE:
```macaulay2
opts = new OptionTable from {BertiniInputConfiguration=>{RandomSeed=>0,TrackTolBeforeEG=>1e-6,FinalTol=>1e-100}}
G = {x^2+y^2-1};
bertiniPosDimSolve(G,opts)
``` | Key
"Bertini input configuration"
MPType
PRECISION
ODEPredictor
TrackTolBeforeEG
TrackTolDuringEG
FinalTol
MaxNorm
MinStepSizeBeforeEG
MinStepSizeDuringEG
ImagThreshold
CoeffBound
DegreeBound
CondNumThreshold
RandomSeed
SingValZeroTol
EndGameNum
Se... | ||||
Bertini_748f7554_MPType | Bertini | MPType | a configuration option for a Bertini input file | opts = new OptionTable from {BertiniInputConfiguration=>{RandomSeed=>0,TrackTolBeforeEG=>1e-6,FinalTol=>1e-100}}
G = {x^2+y^2-1};
bertiniPosDimSolve(G,opts) | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: a configuration option for a Bertini input file
EXAMPLE CODE:
```macaulay2
opts = new OptionTable from {BertiniInputConfiguration=>{RandomSeed=>0,TrackTolBeforeEG=>1e-6,FinalTol=>1e-100}}
G = {x^2+y^2-1};
bertiniPosDimSolve(G,opts)
``` | Key
"Bertini input configuration"
MPType
PRECISION
ODEPredictor
TrackTolBeforeEG
TrackTolDuringEG
FinalTol
MaxNorm
MinStepSizeBeforeEG
MinStepSizeDuringEG
ImagThreshold
CoeffBound
DegreeBound
CondNumThreshold
RandomSeed
SingValZeroTol
EndGameNum
Se... | ||||
Bertini_748f7554_PRECISION | Bertini | PRECISION | a configuration option for a Bertini input file | opts = new OptionTable from {BertiniInputConfiguration=>{RandomSeed=>0,TrackTolBeforeEG=>1e-6,FinalTol=>1e-100}}
G = {x^2+y^2-1};
bertiniPosDimSolve(G,opts) | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: a configuration option for a Bertini input file
EXAMPLE CODE:
```macaulay2
opts = new OptionTable from {BertiniInputConfiguration=>{RandomSeed=>0,TrackTolBeforeEG=>1e-6,FinalTol=>1e-100}}
G = {x^2+y^2-1};
bertiniPosDimSolve(G,opts)
``` | Key
"Bertini input configuration"
MPType
PRECISION
ODEPredictor
TrackTolBeforeEG
TrackTolDuringEG
FinalTol
MaxNorm
MinStepSizeBeforeEG
MinStepSizeDuringEG
ImagThreshold
CoeffBound
DegreeBound
CondNumThreshold
RandomSeed
SingValZeroTol
EndGameNum
Se... | ||||
Bertini_748f7554_ODEPredictor | Bertini | ODEPredictor | a configuration option for a Bertini input file | opts = new OptionTable from {BertiniInputConfiguration=>{RandomSeed=>0,TrackTolBeforeEG=>1e-6,FinalTol=>1e-100}}
G = {x^2+y^2-1};
bertiniPosDimSolve(G,opts) | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: a configuration option for a Bertini input file
EXAMPLE CODE:
```macaulay2
opts = new OptionTable from {BertiniInputConfiguration=>{RandomSeed=>0,TrackTolBeforeEG=>1e-6,FinalTol=>1e-100}}
G = {x^2+y^2-1};
bertiniPosDimSolve(G,opts)
``` | Key
"Bertini input configuration"
MPType
PRECISION
ODEPredictor
TrackTolBeforeEG
TrackTolDuringEG
FinalTol
MaxNorm
MinStepSizeBeforeEG
MinStepSizeDuringEG
ImagThreshold
CoeffBound
DegreeBound
CondNumThreshold
RandomSeed
SingValZeroTol
EndGameNum
Se... |
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