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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
Bertini_748f7554_TrackTolBeforeEG | Bertini | TrackTolBeforeEG | 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_TrackTolDuringEG | Bertini | TrackTolDuringEG | 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_FinalTol | Bertini | FinalTol | 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_MaxNorm | Bertini | MaxNorm | 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_MinStepSizeBeforeEG | Bertini | MinStepSizeBeforeEG | 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_MinStepSizeDuringEG | Bertini | MinStepSizeDuringEG | 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_ImagThreshold | Bertini | ImagThreshold | 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_CoeffBound | Bertini | CoeffBound | 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_DegreeBound | Bertini | DegreeBound | 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_CondNumThreshold | Bertini | CondNumThreshold | 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_RandomSeed | Bertini | RandomSeed | 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_SingValZeroTol | Bertini | SingValZeroTol | 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_EndGameNum | Bertini | EndGameNum | 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_SecurityLevel | Bertini | SecurityLevel | 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_ScreenOut | Bertini | ScreenOut | 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_OutputLevel | Bertini | OutputLevel | 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_StepsForIncrease | Bertini | StepsForIncrease | 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_MaxNewtonIts | Bertini | MaxNewtonIts | 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_MaxStepSize | Bertini | MaxStepSize | 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_MaxNumberSteps | Bertini | MaxNumberSteps | 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_MaxCycleNum | Bertini | MaxCycleNum | 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_RegenStartLevel | Bertini | RegenStartLevel | 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_a8e4f73c_"Bertini_input_file_declarations:_random_numbers" | Bertini | "Bertini input file declarations: random numbers" | an option which designates symbols/strings/variables that will be set to be a random real number or random complex number | R=QQ[x,y,c1,c2]
makeB'InputFile(storeBM2Files,
AffVariableGroup=>{{x,y}},
RandomComplex=>{c1,c2},--c1=.1212+ii*.1344, c2=.4132-ii*.2144 are written to the input file.
B'Polynomials=>{x-c1,y-c2}); | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: an option which designates symbols/strings/variables that will be set to be a random real number or random complex number
EXAMPLE CODE:
```macaulay2
R=QQ[x,y,c1,c2]
makeB'InputFile(storeBM2Files,
AffVariableGroup=>{{x,y}},
RandomComplex=>{c1,c2},--c1=.1212+ii*.1344, c2=.4132-ii*.2144 are w... | Key
"Bertini input file declarations: random numbers"
RandomReal
RandomComplex
[makeB'InputFile, RandomReal]
[makeB'InputFile, RandomComplex]
[bertiniParameterHomotopy,RandomComplex]
[bertiniParameterHomotopy,RandomReal]
[bertiniZeroDimSolve,RandomComplex]
[bertiniZeroDimSolve,RandomReal]
He... | ||||
Bertini_a8e4f73c_RandomReal | Bertini | RandomReal | an option which designates symbols/strings/variables that will be set to be a random real number or random complex number | R=QQ[x,y,c1,c2]
makeB'InputFile(storeBM2Files,
AffVariableGroup=>{{x,y}},
RandomComplex=>{c1,c2},--c1=.1212+ii*.1344, c2=.4132-ii*.2144 are written to the input file.
B'Polynomials=>{x-c1,y-c2}); | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: an option which designates symbols/strings/variables that will be set to be a random real number or random complex number
EXAMPLE CODE:
```macaulay2
R=QQ[x,y,c1,c2]
makeB'InputFile(storeBM2Files,
AffVariableGroup=>{{x,y}},
RandomComplex=>{c1,c2},--c1=.1212+ii*.1344, c2=.4132-ii*.2144 are w... | Key
"Bertini input file declarations: random numbers"
RandomReal
RandomComplex
[makeB'InputFile, RandomReal]
[makeB'InputFile, RandomComplex]
[bertiniParameterHomotopy,RandomComplex]
[bertiniParameterHomotopy,RandomReal]
[bertiniZeroDimSolve,RandomComplex]
[bertiniZeroDimSolve,RandomReal]
He... | ||||
Bertini_a8e4f73c_RandomComplex | Bertini | RandomComplex | an option which designates symbols/strings/variables that will be set to be a random real number or random complex number | R=QQ[x,y,c1,c2]
makeB'InputFile(storeBM2Files,
AffVariableGroup=>{{x,y}},
RandomComplex=>{c1,c2},--c1=.1212+ii*.1344, c2=.4132-ii*.2144 are written to the input file.
B'Polynomials=>{x-c1,y-c2}); | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: an option which designates symbols/strings/variables that will be set to be a random real number or random complex number
EXAMPLE CODE:
```macaulay2
R=QQ[x,y,c1,c2]
makeB'InputFile(storeBM2Files,
AffVariableGroup=>{{x,y}},
RandomComplex=>{c1,c2},--c1=.1212+ii*.1344, c2=.4132-ii*.2144 are w... | Key
"Bertini input file declarations: random numbers"
RandomReal
RandomComplex
[makeB'InputFile, RandomReal]
[makeB'InputFile, RandomComplex]
[bertiniParameterHomotopy,RandomComplex]
[bertiniParameterHomotopy,RandomReal]
[bertiniZeroDimSolve,RandomComplex]
[bertiniZeroDimSolve,RandomReal]
He... | ||||
Bertini_a8e4f73c_[makeB'InputFile,_RandomReal] | Bertini | [makeB'InputFile, RandomReal] | an option which designates symbols/strings/variables that will be set to be a random real number or random complex number | R=QQ[x,y,c1,c2]
makeB'InputFile(storeBM2Files,
AffVariableGroup=>{{x,y}},
RandomComplex=>{c1,c2},--c1=.1212+ii*.1344, c2=.4132-ii*.2144 are written to the input file.
B'Polynomials=>{x-c1,y-c2}); | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: an option which designates symbols/strings/variables that will be set to be a random real number or random complex number
EXAMPLE CODE:
```macaulay2
R=QQ[x,y,c1,c2]
makeB'InputFile(storeBM2Files,
AffVariableGroup=>{{x,y}},
RandomComplex=>{c1,c2},--c1=.1212+ii*.1344, c2=.4132-ii*.2144 are w... | Key
"Bertini input file declarations: random numbers"
RandomReal
RandomComplex
[makeB'InputFile, RandomReal]
[makeB'InputFile, RandomComplex]
[bertiniParameterHomotopy,RandomComplex]
[bertiniParameterHomotopy,RandomReal]
[bertiniZeroDimSolve,RandomComplex]
[bertiniZeroDimSolve,RandomReal]
He... | ||||
Bertini_a8e4f73c_[makeB'InputFile,_RandomComplex] | Bertini | [makeB'InputFile, RandomComplex] | an option which designates symbols/strings/variables that will be set to be a random real number or random complex number | R=QQ[x,y,c1,c2]
makeB'InputFile(storeBM2Files,
AffVariableGroup=>{{x,y}},
RandomComplex=>{c1,c2},--c1=.1212+ii*.1344, c2=.4132-ii*.2144 are written to the input file.
B'Polynomials=>{x-c1,y-c2}); | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: an option which designates symbols/strings/variables that will be set to be a random real number or random complex number
EXAMPLE CODE:
```macaulay2
R=QQ[x,y,c1,c2]
makeB'InputFile(storeBM2Files,
AffVariableGroup=>{{x,y}},
RandomComplex=>{c1,c2},--c1=.1212+ii*.1344, c2=.4132-ii*.2144 are w... | Key
"Bertini input file declarations: random numbers"
RandomReal
RandomComplex
[makeB'InputFile, RandomReal]
[makeB'InputFile, RandomComplex]
[bertiniParameterHomotopy,RandomComplex]
[bertiniParameterHomotopy,RandomReal]
[bertiniZeroDimSolve,RandomComplex]
[bertiniZeroDimSolve,RandomReal]
He... | ||||
Bertini_a8e4f73c_[bertiniParameterHomotopy,RandomComplex] | Bertini | [bertiniParameterHomotopy,RandomComplex] | an option which designates symbols/strings/variables that will be set to be a random real number or random complex number | R=QQ[x,y,c1,c2]
makeB'InputFile(storeBM2Files,
AffVariableGroup=>{{x,y}},
RandomComplex=>{c1,c2},--c1=.1212+ii*.1344, c2=.4132-ii*.2144 are written to the input file.
B'Polynomials=>{x-c1,y-c2}); | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: an option which designates symbols/strings/variables that will be set to be a random real number or random complex number
EXAMPLE CODE:
```macaulay2
R=QQ[x,y,c1,c2]
makeB'InputFile(storeBM2Files,
AffVariableGroup=>{{x,y}},
RandomComplex=>{c1,c2},--c1=.1212+ii*.1344, c2=.4132-ii*.2144 are w... | Key
"Bertini input file declarations: random numbers"
RandomReal
RandomComplex
[makeB'InputFile, RandomReal]
[makeB'InputFile, RandomComplex]
[bertiniParameterHomotopy,RandomComplex]
[bertiniParameterHomotopy,RandomReal]
[bertiniZeroDimSolve,RandomComplex]
[bertiniZeroDimSolve,RandomReal]
He... | ||||
Bertini_a8e4f73c_[bertiniParameterHomotopy,RandomReal] | Bertini | [bertiniParameterHomotopy,RandomReal] | an option which designates symbols/strings/variables that will be set to be a random real number or random complex number | R=QQ[x,y,c1,c2]
makeB'InputFile(storeBM2Files,
AffVariableGroup=>{{x,y}},
RandomComplex=>{c1,c2},--c1=.1212+ii*.1344, c2=.4132-ii*.2144 are written to the input file.
B'Polynomials=>{x-c1,y-c2}); | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: an option which designates symbols/strings/variables that will be set to be a random real number or random complex number
EXAMPLE CODE:
```macaulay2
R=QQ[x,y,c1,c2]
makeB'InputFile(storeBM2Files,
AffVariableGroup=>{{x,y}},
RandomComplex=>{c1,c2},--c1=.1212+ii*.1344, c2=.4132-ii*.2144 are w... | Key
"Bertini input file declarations: random numbers"
RandomReal
RandomComplex
[makeB'InputFile, RandomReal]
[makeB'InputFile, RandomComplex]
[bertiniParameterHomotopy,RandomComplex]
[bertiniParameterHomotopy,RandomReal]
[bertiniZeroDimSolve,RandomComplex]
[bertiniZeroDimSolve,RandomReal]
He... | ||||
Bertini_a8e4f73c_[bertiniZeroDimSolve,RandomComplex] | Bertini | [bertiniZeroDimSolve,RandomComplex] | an option which designates symbols/strings/variables that will be set to be a random real number or random complex number | R=QQ[x,y,c1,c2]
makeB'InputFile(storeBM2Files,
AffVariableGroup=>{{x,y}},
RandomComplex=>{c1,c2},--c1=.1212+ii*.1344, c2=.4132-ii*.2144 are written to the input file.
B'Polynomials=>{x-c1,y-c2}); | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: an option which designates symbols/strings/variables that will be set to be a random real number or random complex number
EXAMPLE CODE:
```macaulay2
R=QQ[x,y,c1,c2]
makeB'InputFile(storeBM2Files,
AffVariableGroup=>{{x,y}},
RandomComplex=>{c1,c2},--c1=.1212+ii*.1344, c2=.4132-ii*.2144 are w... | Key
"Bertini input file declarations: random numbers"
RandomReal
RandomComplex
[makeB'InputFile, RandomReal]
[makeB'InputFile, RandomComplex]
[bertiniParameterHomotopy,RandomComplex]
[bertiniParameterHomotopy,RandomReal]
[bertiniZeroDimSolve,RandomComplex]
[bertiniZeroDimSolve,RandomReal]
He... | ||||
Bertini_a8e4f73c_[bertiniZeroDimSolve,RandomReal] | Bertini | [bertiniZeroDimSolve,RandomReal] | an option which designates symbols/strings/variables that will be set to be a random real number or random complex number | R=QQ[x,y,c1,c2]
makeB'InputFile(storeBM2Files,
AffVariableGroup=>{{x,y}},
RandomComplex=>{c1,c2},--c1=.1212+ii*.1344, c2=.4132-ii*.2144 are written to the input file.
B'Polynomials=>{x-c1,y-c2}); | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: an option which designates symbols/strings/variables that will be set to be a random real number or random complex number
EXAMPLE CODE:
```macaulay2
R=QQ[x,y,c1,c2]
makeB'InputFile(storeBM2Files,
AffVariableGroup=>{{x,y}},
RandomComplex=>{c1,c2},--c1=.1212+ii*.1344, c2=.4132-ii*.2144 are w... | Key
"Bertini input file declarations: random numbers"
RandomReal
RandomComplex
[makeB'InputFile, RandomReal]
[makeB'InputFile, RandomComplex]
[bertiniParameterHomotopy,RandomComplex]
[bertiniParameterHomotopy,RandomReal]
[bertiniZeroDimSolve,RandomComplex]
[bertiniZeroDimSolve,RandomReal]
He... | ||||
Bertini_dd312e03_B'Constants | Bertini | B'Constants | an option to designate the constants for a Bertini Input file | R=QQ[z,a,b,c]
makeB'InputFile(storeBM2Files,
BertiniInputConfiguration=>{MPType=>2},
AffVariableGroup=>{{z}},
B'Constants=>{a=>2,b=>3+2*ii,c=>3/2},
B'Polynomials=>{a*z^2+b*z+c}); | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: an option to designate the constants for a Bertini Input file
EXAMPLE CODE:
```macaulay2
R=QQ[z,a,b,c]
makeB'InputFile(storeBM2Files,
BertiniInputConfiguration=>{MPType=>2},
AffVariableGroup=>{{z}},
B'Constants=>{a=>2,b=>3+2*ii,c=>3/2},
B'Polynomials=>{a*z^2+b*z+c});
``` | Key
B'Constants
[makeB'InputFile, B'Constants]
[bertiniParameterHomotopy,B'Constants]
[bertiniZeroDimSolve,B'Constants]
Headline
an option to designate the constants for a Bertini Input file
Description
Text
This option should be set to a list of options X=>v with X denoting the
constant a... | ||||
Bertini_dd312e03_[makeB'InputFile,_B'Constants] | Bertini | [makeB'InputFile, B'Constants] | an option to designate the constants for a Bertini Input file | R=QQ[z,a,b,c]
makeB'InputFile(storeBM2Files,
BertiniInputConfiguration=>{MPType=>2},
AffVariableGroup=>{{z}},
B'Constants=>{a=>2,b=>3+2*ii,c=>3/2},
B'Polynomials=>{a*z^2+b*z+c}); | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: an option to designate the constants for a Bertini Input file
EXAMPLE CODE:
```macaulay2
R=QQ[z,a,b,c]
makeB'InputFile(storeBM2Files,
BertiniInputConfiguration=>{MPType=>2},
AffVariableGroup=>{{z}},
B'Constants=>{a=>2,b=>3+2*ii,c=>3/2},
B'Polynomials=>{a*z^2+b*z+c});
``` | Key
B'Constants
[makeB'InputFile, B'Constants]
[bertiniParameterHomotopy,B'Constants]
[bertiniZeroDimSolve,B'Constants]
Headline
an option to designate the constants for a Bertini Input file
Description
Text
This option should be set to a list of options X=>v with X denoting the
constant a... | ||||
Bertini_dd312e03_[bertiniParameterHomotopy,B'Constants] | Bertini | [bertiniParameterHomotopy,B'Constants] | an option to designate the constants for a Bertini Input file | R=QQ[z,a,b,c]
makeB'InputFile(storeBM2Files,
BertiniInputConfiguration=>{MPType=>2},
AffVariableGroup=>{{z}},
B'Constants=>{a=>2,b=>3+2*ii,c=>3/2},
B'Polynomials=>{a*z^2+b*z+c}); | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: an option to designate the constants for a Bertini Input file
EXAMPLE CODE:
```macaulay2
R=QQ[z,a,b,c]
makeB'InputFile(storeBM2Files,
BertiniInputConfiguration=>{MPType=>2},
AffVariableGroup=>{{z}},
B'Constants=>{a=>2,b=>3+2*ii,c=>3/2},
B'Polynomials=>{a*z^2+b*z+c});
``` | Key
B'Constants
[makeB'InputFile, B'Constants]
[bertiniParameterHomotopy,B'Constants]
[bertiniZeroDimSolve,B'Constants]
Headline
an option to designate the constants for a Bertini Input file
Description
Text
This option should be set to a list of options X=>v with X denoting the
constant a... | ||||
Bertini_dd312e03_[bertiniZeroDimSolve,B'Constants] | Bertini | [bertiniZeroDimSolve,B'Constants] | an option to designate the constants for a Bertini Input file | R=QQ[z,a,b,c]
makeB'InputFile(storeBM2Files,
BertiniInputConfiguration=>{MPType=>2},
AffVariableGroup=>{{z}},
B'Constants=>{a=>2,b=>3+2*ii,c=>3/2},
B'Polynomials=>{a*z^2+b*z+c}); | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: an option to designate the constants for a Bertini Input file
EXAMPLE CODE:
```macaulay2
R=QQ[z,a,b,c]
makeB'InputFile(storeBM2Files,
BertiniInputConfiguration=>{MPType=>2},
AffVariableGroup=>{{z}},
B'Constants=>{a=>2,b=>3+2*ii,c=>3/2},
B'Polynomials=>{a*z^2+b*z+c});
``` | Key
B'Constants
[makeB'InputFile, B'Constants]
[bertiniParameterHomotopy,B'Constants]
[bertiniZeroDimSolve,B'Constants]
Headline
an option to designate the constants for a Bertini Input file
Description
Text
This option should be set to a list of options X=>v with X denoting the
constant a... | ||||
Bertini_7f725522_[bertiniTrackHomotopy,_Verbose] | Bertini | [bertiniTrackHomotopy, Verbose] | Option to silence additional output | bertiniTrackHomotopyVerbose(...,Verbose=>Boolean)
bertiniUserHomotopyVerbose(...,Verbose=>Boolean)
bertiniPosDimSolve(...,Verbose=>Boolean)
bertiniRefineSols(...,Verbose=>Boolean)
bertiniSample(...,Verbose=>Boolean)
bertiniZeroDimSolve(...,Verbose=>Boolean)
bertiniParameterHomotopy(...,Verbose=>... | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: Option to silence additional output
USAGE: bertiniTrackHomotopyVerbose(...,Verbose=>Boolean)
bertiniUserHomotopyVerbose(...,Verbose=>Boolean)
bertiniPosDimSolve(...,Verbose=>Boolean)
bertiniRefineSols(...,Verbose=>Boolean)
bertiniSample(...,Verbose=>Boolean)
bertiniZeroDimSolve(...,Verbos... | Key
[bertiniTrackHomotopy, Verbose]
[bertiniComponentMemberTest, Verbose]
[bertiniPosDimSolve, Verbose]
[bertiniRefineSols, Verbose]
[bertiniSample, Verbose]
[bertiniZeroDimSolve, Verbose]
[bertiniParameterHomotopy, Verbose]
[makeB'InputFile, Verbose]
[makeMembershipFile, Verbose]
... | ||||
Bertini_7f725522_[bertiniComponentMemberTest,_Verbose] | Bertini | [bertiniComponentMemberTest, Verbose] | Option to silence additional output | bertiniTrackHomotopyVerbose(...,Verbose=>Boolean)
bertiniUserHomotopyVerbose(...,Verbose=>Boolean)
bertiniPosDimSolve(...,Verbose=>Boolean)
bertiniRefineSols(...,Verbose=>Boolean)
bertiniSample(...,Verbose=>Boolean)
bertiniZeroDimSolve(...,Verbose=>Boolean)
bertiniParameterHomotopy(...,Verbose=>... | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: Option to silence additional output
USAGE: bertiniTrackHomotopyVerbose(...,Verbose=>Boolean)
bertiniUserHomotopyVerbose(...,Verbose=>Boolean)
bertiniPosDimSolve(...,Verbose=>Boolean)
bertiniRefineSols(...,Verbose=>Boolean)
bertiniSample(...,Verbose=>Boolean)
bertiniZeroDimSolve(...,Verbos... | Key
[bertiniTrackHomotopy, Verbose]
[bertiniComponentMemberTest, Verbose]
[bertiniPosDimSolve, Verbose]
[bertiniRefineSols, Verbose]
[bertiniSample, Verbose]
[bertiniZeroDimSolve, Verbose]
[bertiniParameterHomotopy, Verbose]
[makeB'InputFile, Verbose]
[makeMembershipFile, Verbose]
... | ||||
Bertini_7f725522_[bertiniPosDimSolve,_Verbose] | Bertini | [bertiniPosDimSolve, Verbose] | Option to silence additional output | bertiniTrackHomotopyVerbose(...,Verbose=>Boolean)
bertiniUserHomotopyVerbose(...,Verbose=>Boolean)
bertiniPosDimSolve(...,Verbose=>Boolean)
bertiniRefineSols(...,Verbose=>Boolean)
bertiniSample(...,Verbose=>Boolean)
bertiniZeroDimSolve(...,Verbose=>Boolean)
bertiniParameterHomotopy(...,Verbose=>... | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: Option to silence additional output
USAGE: bertiniTrackHomotopyVerbose(...,Verbose=>Boolean)
bertiniUserHomotopyVerbose(...,Verbose=>Boolean)
bertiniPosDimSolve(...,Verbose=>Boolean)
bertiniRefineSols(...,Verbose=>Boolean)
bertiniSample(...,Verbose=>Boolean)
bertiniZeroDimSolve(...,Verbos... | Key
[bertiniTrackHomotopy, Verbose]
[bertiniComponentMemberTest, Verbose]
[bertiniPosDimSolve, Verbose]
[bertiniRefineSols, Verbose]
[bertiniSample, Verbose]
[bertiniZeroDimSolve, Verbose]
[bertiniParameterHomotopy, Verbose]
[makeB'InputFile, Verbose]
[makeMembershipFile, Verbose]
... | ||||
Bertini_7f725522_[bertiniRefineSols,_Verbose] | Bertini | [bertiniRefineSols, Verbose] | Option to silence additional output | bertiniTrackHomotopyVerbose(...,Verbose=>Boolean)
bertiniUserHomotopyVerbose(...,Verbose=>Boolean)
bertiniPosDimSolve(...,Verbose=>Boolean)
bertiniRefineSols(...,Verbose=>Boolean)
bertiniSample(...,Verbose=>Boolean)
bertiniZeroDimSolve(...,Verbose=>Boolean)
bertiniParameterHomotopy(...,Verbose=>... | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: Option to silence additional output
USAGE: bertiniTrackHomotopyVerbose(...,Verbose=>Boolean)
bertiniUserHomotopyVerbose(...,Verbose=>Boolean)
bertiniPosDimSolve(...,Verbose=>Boolean)
bertiniRefineSols(...,Verbose=>Boolean)
bertiniSample(...,Verbose=>Boolean)
bertiniZeroDimSolve(...,Verbos... | Key
[bertiniTrackHomotopy, Verbose]
[bertiniComponentMemberTest, Verbose]
[bertiniPosDimSolve, Verbose]
[bertiniRefineSols, Verbose]
[bertiniSample, Verbose]
[bertiniZeroDimSolve, Verbose]
[bertiniParameterHomotopy, Verbose]
[makeB'InputFile, Verbose]
[makeMembershipFile, Verbose]
... | ||||
Bertini_7f725522_[bertiniSample,_Verbose] | Bertini | [bertiniSample, Verbose] | Option to silence additional output | bertiniTrackHomotopyVerbose(...,Verbose=>Boolean)
bertiniUserHomotopyVerbose(...,Verbose=>Boolean)
bertiniPosDimSolve(...,Verbose=>Boolean)
bertiniRefineSols(...,Verbose=>Boolean)
bertiniSample(...,Verbose=>Boolean)
bertiniZeroDimSolve(...,Verbose=>Boolean)
bertiniParameterHomotopy(...,Verbose=>... | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: Option to silence additional output
USAGE: bertiniTrackHomotopyVerbose(...,Verbose=>Boolean)
bertiniUserHomotopyVerbose(...,Verbose=>Boolean)
bertiniPosDimSolve(...,Verbose=>Boolean)
bertiniRefineSols(...,Verbose=>Boolean)
bertiniSample(...,Verbose=>Boolean)
bertiniZeroDimSolve(...,Verbos... | Key
[bertiniTrackHomotopy, Verbose]
[bertiniComponentMemberTest, Verbose]
[bertiniPosDimSolve, Verbose]
[bertiniRefineSols, Verbose]
[bertiniSample, Verbose]
[bertiniZeroDimSolve, Verbose]
[bertiniParameterHomotopy, Verbose]
[makeB'InputFile, Verbose]
[makeMembershipFile, Verbose]
... | ||||
Bertini_7f725522_[bertiniZeroDimSolve,_Verbose] | Bertini | [bertiniZeroDimSolve, Verbose] | Option to silence additional output | bertiniTrackHomotopyVerbose(...,Verbose=>Boolean)
bertiniUserHomotopyVerbose(...,Verbose=>Boolean)
bertiniPosDimSolve(...,Verbose=>Boolean)
bertiniRefineSols(...,Verbose=>Boolean)
bertiniSample(...,Verbose=>Boolean)
bertiniZeroDimSolve(...,Verbose=>Boolean)
bertiniParameterHomotopy(...,Verbose=>... | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: Option to silence additional output
USAGE: bertiniTrackHomotopyVerbose(...,Verbose=>Boolean)
bertiniUserHomotopyVerbose(...,Verbose=>Boolean)
bertiniPosDimSolve(...,Verbose=>Boolean)
bertiniRefineSols(...,Verbose=>Boolean)
bertiniSample(...,Verbose=>Boolean)
bertiniZeroDimSolve(...,Verbos... | Key
[bertiniTrackHomotopy, Verbose]
[bertiniComponentMemberTest, Verbose]
[bertiniPosDimSolve, Verbose]
[bertiniRefineSols, Verbose]
[bertiniSample, Verbose]
[bertiniZeroDimSolve, Verbose]
[bertiniParameterHomotopy, Verbose]
[makeB'InputFile, Verbose]
[makeMembershipFile, Verbose]
... | ||||
Bertini_7f725522_[bertiniParameterHomotopy,_Verbose] | Bertini | [bertiniParameterHomotopy, Verbose] | Option to silence additional output | bertiniTrackHomotopyVerbose(...,Verbose=>Boolean)
bertiniUserHomotopyVerbose(...,Verbose=>Boolean)
bertiniPosDimSolve(...,Verbose=>Boolean)
bertiniRefineSols(...,Verbose=>Boolean)
bertiniSample(...,Verbose=>Boolean)
bertiniZeroDimSolve(...,Verbose=>Boolean)
bertiniParameterHomotopy(...,Verbose=>... | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: Option to silence additional output
USAGE: bertiniTrackHomotopyVerbose(...,Verbose=>Boolean)
bertiniUserHomotopyVerbose(...,Verbose=>Boolean)
bertiniPosDimSolve(...,Verbose=>Boolean)
bertiniRefineSols(...,Verbose=>Boolean)
bertiniSample(...,Verbose=>Boolean)
bertiniZeroDimSolve(...,Verbos... | Key
[bertiniTrackHomotopy, Verbose]
[bertiniComponentMemberTest, Verbose]
[bertiniPosDimSolve, Verbose]
[bertiniRefineSols, Verbose]
[bertiniSample, Verbose]
[bertiniZeroDimSolve, Verbose]
[bertiniParameterHomotopy, Verbose]
[makeB'InputFile, Verbose]
[makeMembershipFile, Verbose]
... | ||||
Bertini_7f725522_[makeB'InputFile,_Verbose] | Bertini | [makeB'InputFile, Verbose] | Option to silence additional output | bertiniTrackHomotopyVerbose(...,Verbose=>Boolean)
bertiniUserHomotopyVerbose(...,Verbose=>Boolean)
bertiniPosDimSolve(...,Verbose=>Boolean)
bertiniRefineSols(...,Verbose=>Boolean)
bertiniSample(...,Verbose=>Boolean)
bertiniZeroDimSolve(...,Verbose=>Boolean)
bertiniParameterHomotopy(...,Verbose=>... | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: Option to silence additional output
USAGE: bertiniTrackHomotopyVerbose(...,Verbose=>Boolean)
bertiniUserHomotopyVerbose(...,Verbose=>Boolean)
bertiniPosDimSolve(...,Verbose=>Boolean)
bertiniRefineSols(...,Verbose=>Boolean)
bertiniSample(...,Verbose=>Boolean)
bertiniZeroDimSolve(...,Verbos... | Key
[bertiniTrackHomotopy, Verbose]
[bertiniComponentMemberTest, Verbose]
[bertiniPosDimSolve, Verbose]
[bertiniRefineSols, Verbose]
[bertiniSample, Verbose]
[bertiniZeroDimSolve, Verbose]
[bertiniParameterHomotopy, Verbose]
[makeB'InputFile, Verbose]
[makeMembershipFile, Verbose]
... | ||||
Bertini_7f725522_[makeMembershipFile,_Verbose] | Bertini | [makeMembershipFile, Verbose] | Option to silence additional output | bertiniTrackHomotopyVerbose(...,Verbose=>Boolean)
bertiniUserHomotopyVerbose(...,Verbose=>Boolean)
bertiniPosDimSolve(...,Verbose=>Boolean)
bertiniRefineSols(...,Verbose=>Boolean)
bertiniSample(...,Verbose=>Boolean)
bertiniZeroDimSolve(...,Verbose=>Boolean)
bertiniParameterHomotopy(...,Verbose=>... | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: Option to silence additional output
USAGE: bertiniTrackHomotopyVerbose(...,Verbose=>Boolean)
bertiniUserHomotopyVerbose(...,Verbose=>Boolean)
bertiniPosDimSolve(...,Verbose=>Boolean)
bertiniRefineSols(...,Verbose=>Boolean)
bertiniSample(...,Verbose=>Boolean)
bertiniZeroDimSolve(...,Verbos... | Key
[bertiniTrackHomotopy, Verbose]
[bertiniComponentMemberTest, Verbose]
[bertiniPosDimSolve, Verbose]
[bertiniRefineSols, Verbose]
[bertiniSample, Verbose]
[bertiniZeroDimSolve, Verbose]
[bertiniParameterHomotopy, Verbose]
[makeB'InputFile, Verbose]
[makeMembershipFile, Verbose]
... | ||||
Bertini_7f725522_[importIncidenceMatrix,Verbose] | Bertini | [importIncidenceMatrix,Verbose] | Option to silence additional output | bertiniTrackHomotopyVerbose(...,Verbose=>Boolean)
bertiniUserHomotopyVerbose(...,Verbose=>Boolean)
bertiniPosDimSolve(...,Verbose=>Boolean)
bertiniRefineSols(...,Verbose=>Boolean)
bertiniSample(...,Verbose=>Boolean)
bertiniZeroDimSolve(...,Verbose=>Boolean)
bertiniParameterHomotopy(...,Verbose=>... | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: Option to silence additional output
USAGE: bertiniTrackHomotopyVerbose(...,Verbose=>Boolean)
bertiniUserHomotopyVerbose(...,Verbose=>Boolean)
bertiniPosDimSolve(...,Verbose=>Boolean)
bertiniRefineSols(...,Verbose=>Boolean)
bertiniSample(...,Verbose=>Boolean)
bertiniZeroDimSolve(...,Verbos... | Key
[bertiniTrackHomotopy, Verbose]
[bertiniComponentMemberTest, Verbose]
[bertiniPosDimSolve, Verbose]
[bertiniRefineSols, Verbose]
[bertiniSample, Verbose]
[bertiniZeroDimSolve, Verbose]
[bertiniParameterHomotopy, Verbose]
[makeB'InputFile, Verbose]
[makeMembershipFile, Verbose]
... | ||||
Bertini_7f725522_[importMainDataFile,Verbose] | Bertini | [importMainDataFile,Verbose] | Option to silence additional output | bertiniTrackHomotopyVerbose(...,Verbose=>Boolean)
bertiniUserHomotopyVerbose(...,Verbose=>Boolean)
bertiniPosDimSolve(...,Verbose=>Boolean)
bertiniRefineSols(...,Verbose=>Boolean)
bertiniSample(...,Verbose=>Boolean)
bertiniZeroDimSolve(...,Verbose=>Boolean)
bertiniParameterHomotopy(...,Verbose=>... | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: Option to silence additional output
USAGE: bertiniTrackHomotopyVerbose(...,Verbose=>Boolean)
bertiniUserHomotopyVerbose(...,Verbose=>Boolean)
bertiniPosDimSolve(...,Verbose=>Boolean)
bertiniRefineSols(...,Verbose=>Boolean)
bertiniSample(...,Verbose=>Boolean)
bertiniZeroDimSolve(...,Verbos... | Key
[bertiniTrackHomotopy, Verbose]
[bertiniComponentMemberTest, Verbose]
[bertiniPosDimSolve, Verbose]
[bertiniRefineSols, Verbose]
[bertiniSample, Verbose]
[bertiniZeroDimSolve, Verbose]
[bertiniParameterHomotopy, Verbose]
[makeB'InputFile, Verbose]
[makeMembershipFile, Verbose]
... | ||||
Bertini_7f725522_[importSolutionsFile,Verbose] | Bertini | [importSolutionsFile,Verbose] | Option to silence additional output | bertiniTrackHomotopyVerbose(...,Verbose=>Boolean)
bertiniUserHomotopyVerbose(...,Verbose=>Boolean)
bertiniPosDimSolve(...,Verbose=>Boolean)
bertiniRefineSols(...,Verbose=>Boolean)
bertiniSample(...,Verbose=>Boolean)
bertiniZeroDimSolve(...,Verbose=>Boolean)
bertiniParameterHomotopy(...,Verbose=>... | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: Option to silence additional output
USAGE: bertiniTrackHomotopyVerbose(...,Verbose=>Boolean)
bertiniUserHomotopyVerbose(...,Verbose=>Boolean)
bertiniPosDimSolve(...,Verbose=>Boolean)
bertiniRefineSols(...,Verbose=>Boolean)
bertiniSample(...,Verbose=>Boolean)
bertiniZeroDimSolve(...,Verbos... | Key
[bertiniTrackHomotopy, Verbose]
[bertiniComponentMemberTest, Verbose]
[bertiniPosDimSolve, Verbose]
[bertiniRefineSols, Verbose]
[bertiniSample, Verbose]
[bertiniZeroDimSolve, Verbose]
[bertiniParameterHomotopy, Verbose]
[makeB'InputFile, Verbose]
[makeMembershipFile, Verbose]
... | ||||
Bertini_7f725522_[runBertini,Verbose] | Bertini | [runBertini,Verbose] | Option to silence additional output | bertiniTrackHomotopyVerbose(...,Verbose=>Boolean)
bertiniUserHomotopyVerbose(...,Verbose=>Boolean)
bertiniPosDimSolve(...,Verbose=>Boolean)
bertiniRefineSols(...,Verbose=>Boolean)
bertiniSample(...,Verbose=>Boolean)
bertiniZeroDimSolve(...,Verbose=>Boolean)
bertiniParameterHomotopy(...,Verbose=>... | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: Option to silence additional output
USAGE: bertiniTrackHomotopyVerbose(...,Verbose=>Boolean)
bertiniUserHomotopyVerbose(...,Verbose=>Boolean)
bertiniPosDimSolve(...,Verbose=>Boolean)
bertiniRefineSols(...,Verbose=>Boolean)
bertiniSample(...,Verbose=>Boolean)
bertiniZeroDimSolve(...,Verbos... | Key
[bertiniTrackHomotopy, Verbose]
[bertiniComponentMemberTest, Verbose]
[bertiniPosDimSolve, Verbose]
[bertiniRefineSols, Verbose]
[bertiniSample, Verbose]
[bertiniZeroDimSolve, Verbose]
[bertiniParameterHomotopy, Verbose]
[makeB'InputFile, Verbose]
[makeMembershipFile, Verbose]
... | ||||
Bertini_7f725522_[makeSampleSolutionsFile,Verbose] | Bertini | [makeSampleSolutionsFile,Verbose] | Option to silence additional output | bertiniTrackHomotopyVerbose(...,Verbose=>Boolean)
bertiniUserHomotopyVerbose(...,Verbose=>Boolean)
bertiniPosDimSolve(...,Verbose=>Boolean)
bertiniRefineSols(...,Verbose=>Boolean)
bertiniSample(...,Verbose=>Boolean)
bertiniZeroDimSolve(...,Verbose=>Boolean)
bertiniParameterHomotopy(...,Verbose=>... | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: Option to silence additional output
USAGE: bertiniTrackHomotopyVerbose(...,Verbose=>Boolean)
bertiniUserHomotopyVerbose(...,Verbose=>Boolean)
bertiniPosDimSolve(...,Verbose=>Boolean)
bertiniRefineSols(...,Verbose=>Boolean)
bertiniSample(...,Verbose=>Boolean)
bertiniZeroDimSolve(...,Verbos... | Key
[bertiniTrackHomotopy, Verbose]
[bertiniComponentMemberTest, Verbose]
[bertiniPosDimSolve, Verbose]
[bertiniRefineSols, Verbose]
[bertiniSample, Verbose]
[bertiniZeroDimSolve, Verbose]
[bertiniParameterHomotopy, Verbose]
[makeB'InputFile, Verbose]
[makeMembershipFile, Verbose]
... | ||||
Bertini_7f725522_[bertiniUserHomotopy,Verbose] | Bertini | [bertiniUserHomotopy,Verbose] | Option to silence additional output | bertiniTrackHomotopyVerbose(...,Verbose=>Boolean)
bertiniUserHomotopyVerbose(...,Verbose=>Boolean)
bertiniPosDimSolve(...,Verbose=>Boolean)
bertiniRefineSols(...,Verbose=>Boolean)
bertiniSample(...,Verbose=>Boolean)
bertiniZeroDimSolve(...,Verbose=>Boolean)
bertiniParameterHomotopy(...,Verbose=>... | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: Option to silence additional output
USAGE: bertiniTrackHomotopyVerbose(...,Verbose=>Boolean)
bertiniUserHomotopyVerbose(...,Verbose=>Boolean)
bertiniPosDimSolve(...,Verbose=>Boolean)
bertiniRefineSols(...,Verbose=>Boolean)
bertiniSample(...,Verbose=>Boolean)
bertiniZeroDimSolve(...,Verbos... | Key
[bertiniTrackHomotopy, Verbose]
[bertiniComponentMemberTest, Verbose]
[bertiniPosDimSolve, Verbose]
[bertiniRefineSols, Verbose]
[bertiniSample, Verbose]
[bertiniZeroDimSolve, Verbose]
[bertiniParameterHomotopy, Verbose]
[makeB'InputFile, Verbose]
[makeMembershipFile, Verbose]
... | ||||
Bertini_869b5480_moveB'File | Bertini | moveB'File | Move or copy files. | moveB'File(s,f,n) | makeDirectory (storeBM2Files|"/Dir2")
writeParameterFile(storeBM2Files,{2,3,5,7});
moveB'File(storeBM2Files,"final_parameters","start_parameters",SubFolder=>"Dir2")
fileExists(storeBM2Files|"/Dir2/start_parameters") | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: Move or copy files.
USAGE: moveB'File(s,f,n)
INPUTS: s:String
A string giving a directory.
f:String
A name of a file.
s:String
A new name for the file.
EXAMPLE CODE:
```macaulay2
makeDirectory (storeBM2Files|"/Dir2")
writeParameterFile(storeBM2Files,{2,3,5,7});
moveB'File(sto... | Key
moveB'File
(moveB'File,String,String,String)
[moveB'File,MoveToDirectory]
[moveB'File,SubFolder]
Headline
Move or copy files.
Usage
moveB'File(s,f,n)
Inputs
s:String
A string giving a directory.
f:String
A name of a file.
s:String
A new name for the file.
Description
... | |||
Bertini_869b5480_(moveB'File,String,String,String) | Bertini | (moveB'File,String,String,String) | Move or copy files. | moveB'File(s,f,n) | makeDirectory (storeBM2Files|"/Dir2")
writeParameterFile(storeBM2Files,{2,3,5,7});
moveB'File(storeBM2Files,"final_parameters","start_parameters",SubFolder=>"Dir2")
fileExists(storeBM2Files|"/Dir2/start_parameters") | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: Move or copy files.
USAGE: moveB'File(s,f,n)
INPUTS: s:String
A string giving a directory.
f:String
A name of a file.
s:String
A new name for the file.
EXAMPLE CODE:
```macaulay2
makeDirectory (storeBM2Files|"/Dir2")
writeParameterFile(storeBM2Files,{2,3,5,7});
moveB'File(sto... | Key
moveB'File
(moveB'File,String,String,String)
[moveB'File,MoveToDirectory]
[moveB'File,SubFolder]
Headline
Move or copy files.
Usage
moveB'File(s,f,n)
Inputs
s:String
A string giving a directory.
f:String
A name of a file.
s:String
A new name for the file.
Description
... | |||
Bertini_869b5480_[moveB'File,MoveToDirectory] | Bertini | [moveB'File,MoveToDirectory] | Move or copy files. | moveB'File(s,f,n) | makeDirectory (storeBM2Files|"/Dir2")
writeParameterFile(storeBM2Files,{2,3,5,7});
moveB'File(storeBM2Files,"final_parameters","start_parameters",SubFolder=>"Dir2")
fileExists(storeBM2Files|"/Dir2/start_parameters") | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: Move or copy files.
USAGE: moveB'File(s,f,n)
INPUTS: s:String
A string giving a directory.
f:String
A name of a file.
s:String
A new name for the file.
EXAMPLE CODE:
```macaulay2
makeDirectory (storeBM2Files|"/Dir2")
writeParameterFile(storeBM2Files,{2,3,5,7});
moveB'File(sto... | Key
moveB'File
(moveB'File,String,String,String)
[moveB'File,MoveToDirectory]
[moveB'File,SubFolder]
Headline
Move or copy files.
Usage
moveB'File(s,f,n)
Inputs
s:String
A string giving a directory.
f:String
A name of a file.
s:String
A new name for the file.
Description
... | |||
Bertini_869b5480_[moveB'File,SubFolder] | Bertini | [moveB'File,SubFolder] | Move or copy files. | moveB'File(s,f,n) | makeDirectory (storeBM2Files|"/Dir2")
writeParameterFile(storeBM2Files,{2,3,5,7});
moveB'File(storeBM2Files,"final_parameters","start_parameters",SubFolder=>"Dir2")
fileExists(storeBM2Files|"/Dir2/start_parameters") | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: Move or copy files.
USAGE: moveB'File(s,f,n)
INPUTS: s:String
A string giving a directory.
f:String
A name of a file.
s:String
A new name for the file.
EXAMPLE CODE:
```macaulay2
makeDirectory (storeBM2Files|"/Dir2")
writeParameterFile(storeBM2Files,{2,3,5,7});
moveB'File(sto... | Key
moveB'File
(moveB'File,String,String,String)
[moveB'File,MoveToDirectory]
[moveB'File,SubFolder]
Headline
Move or copy files.
Usage
moveB'File(s,f,n)
Inputs
s:String
A string giving a directory.
f:String
A name of a file.
s:String
A new name for the file.
Description
... | |||
Bertini_457c3ab5_CopyB'File | Bertini | CopyB'File | an optional argument to specify whether make a copy of the file. | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: an optional argument to specify whether make a copy of the file. | Key
CopyB'File
[moveB'File, CopyB'File]
Headline
an optional argument to specify whether make a copy of the file.
Description
Text
When set to true, a file is copy of the file is made rather than just moved. The default in moveB'File is set to false. | |||||
Bertini_457c3ab5_[moveB'File,_CopyB'File] | Bertini | [moveB'File, CopyB'File] | an optional argument to specify whether make a copy of the file. | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: an optional argument to specify whether make a copy of the file. | Key
CopyB'File
[moveB'File, CopyB'File]
Headline
an optional argument to specify whether make a copy of the file.
Description
Text
When set to true, a file is copy of the file is made rather than just moved. The default in moveB'File is set to false. | |||||
Bertini_5741b062_B'Section | Bertini | B'Section | a mutable hash table that gives information about a hyperplane used to slice a numerical variety. | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: a mutable hash table that gives information about a hyperplane used to slice a numerical variety. | Key
B'Section
Headline
a mutable hash table that gives information about a hyperplane used to slice a numerical variety.
Description
Text
B'Section is a type of mutable hash table. It can be created using makeB'Section. | |||||
Bertini_df84ec3a_B'Slice | Bertini | B'Slice | a mutable hash table that gives information about a linear space used to slice a numerical variety. | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: a mutable hash table that gives information about a linear space used to slice a numerical variety. | Key
B'Slice
Headline
a mutable hash table that gives information about a linear space used to slice a numerical variety.
Description
Text
B'Slice is a type of mutable hash table. It can be created using makeB'Slice. | |||||
Bertini_c37844c1_makeB'Section | Bertini | makeB'Section | makeB'Section creates a hash table that represents a hyperplane. | makeB'Section(l) | f="y^3-x*y+1"
s1=makeB'Section({x,y,1})
makeB'InputFile(storeBM2Files,
AffVariableGroup=>{x,y},
B'Polynomials=>{f,s1});
runBertini(storeBM2Files)
#importSolutionsFile(storeBM2Files)==3 | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: makeB'Section creates a hash table that represents a hyperplane.
USAGE: makeB'Section(l)
INPUTS: l:List
A list of variables.
EXAMPLE CODE:
```macaulay2
f="y^3-x*y+1"
s1=makeB'Section({x,y,1})
makeB'InputFile(storeBM2Files,
AffVariableGroup=>{x,y},
B'Polynomials=>{f,s1});
r... | Key
makeB'Section
(makeB'Section,List)
[makeB'Slice,B'Homogenization]
[makeB'Section,B'NumberCoefficients]
[makeB'Section,NameB'Section]
[makeB'Section,B'Homogenization]
[makeB'Section,ContainsPoint]
[makeB'Section,RandomCoefficientGenerator]
Headline
makeB'Section creates a hash table that ... | |||
Bertini_c37844c1_(makeB'Section,List) | Bertini | (makeB'Section,List) | makeB'Section creates a hash table that represents a hyperplane. | makeB'Section(l) | f="y^3-x*y+1"
s1=makeB'Section({x,y,1})
makeB'InputFile(storeBM2Files,
AffVariableGroup=>{x,y},
B'Polynomials=>{f,s1});
runBertini(storeBM2Files)
#importSolutionsFile(storeBM2Files)==3 | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: makeB'Section creates a hash table that represents a hyperplane.
USAGE: makeB'Section(l)
INPUTS: l:List
A list of variables.
EXAMPLE CODE:
```macaulay2
f="y^3-x*y+1"
s1=makeB'Section({x,y,1})
makeB'InputFile(storeBM2Files,
AffVariableGroup=>{x,y},
B'Polynomials=>{f,s1});
r... | Key
makeB'Section
(makeB'Section,List)
[makeB'Slice,B'Homogenization]
[makeB'Section,B'NumberCoefficients]
[makeB'Section,NameB'Section]
[makeB'Section,B'Homogenization]
[makeB'Section,ContainsPoint]
[makeB'Section,RandomCoefficientGenerator]
Headline
makeB'Section creates a hash table that ... | |||
Bertini_c37844c1_[makeB'Slice,B'Homogenization] | Bertini | [makeB'Slice,B'Homogenization] | makeB'Section creates a hash table that represents a hyperplane. | makeB'Section(l) | f="y^3-x*y+1"
s1=makeB'Section({x,y,1})
makeB'InputFile(storeBM2Files,
AffVariableGroup=>{x,y},
B'Polynomials=>{f,s1});
runBertini(storeBM2Files)
#importSolutionsFile(storeBM2Files)==3 | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: makeB'Section creates a hash table that represents a hyperplane.
USAGE: makeB'Section(l)
INPUTS: l:List
A list of variables.
EXAMPLE CODE:
```macaulay2
f="y^3-x*y+1"
s1=makeB'Section({x,y,1})
makeB'InputFile(storeBM2Files,
AffVariableGroup=>{x,y},
B'Polynomials=>{f,s1});
r... | Key
makeB'Section
(makeB'Section,List)
[makeB'Slice,B'Homogenization]
[makeB'Section,B'NumberCoefficients]
[makeB'Section,NameB'Section]
[makeB'Section,B'Homogenization]
[makeB'Section,ContainsPoint]
[makeB'Section,RandomCoefficientGenerator]
Headline
makeB'Section creates a hash table that ... | |||
Bertini_c37844c1_[makeB'Section,B'NumberCoefficients] | Bertini | [makeB'Section,B'NumberCoefficients] | makeB'Section creates a hash table that represents a hyperplane. | makeB'Section(l) | f="y^3-x*y+1"
s1=makeB'Section({x,y,1})
makeB'InputFile(storeBM2Files,
AffVariableGroup=>{x,y},
B'Polynomials=>{f,s1});
runBertini(storeBM2Files)
#importSolutionsFile(storeBM2Files)==3 | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: makeB'Section creates a hash table that represents a hyperplane.
USAGE: makeB'Section(l)
INPUTS: l:List
A list of variables.
EXAMPLE CODE:
```macaulay2
f="y^3-x*y+1"
s1=makeB'Section({x,y,1})
makeB'InputFile(storeBM2Files,
AffVariableGroup=>{x,y},
B'Polynomials=>{f,s1});
r... | Key
makeB'Section
(makeB'Section,List)
[makeB'Slice,B'Homogenization]
[makeB'Section,B'NumberCoefficients]
[makeB'Section,NameB'Section]
[makeB'Section,B'Homogenization]
[makeB'Section,ContainsPoint]
[makeB'Section,RandomCoefficientGenerator]
Headline
makeB'Section creates a hash table that ... | |||
Bertini_c37844c1_[makeB'Section,NameB'Section] | Bertini | [makeB'Section,NameB'Section] | makeB'Section creates a hash table that represents a hyperplane. | makeB'Section(l) | f="y^3-x*y+1"
s1=makeB'Section({x,y,1})
makeB'InputFile(storeBM2Files,
AffVariableGroup=>{x,y},
B'Polynomials=>{f,s1});
runBertini(storeBM2Files)
#importSolutionsFile(storeBM2Files)==3 | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: makeB'Section creates a hash table that represents a hyperplane.
USAGE: makeB'Section(l)
INPUTS: l:List
A list of variables.
EXAMPLE CODE:
```macaulay2
f="y^3-x*y+1"
s1=makeB'Section({x,y,1})
makeB'InputFile(storeBM2Files,
AffVariableGroup=>{x,y},
B'Polynomials=>{f,s1});
r... | Key
makeB'Section
(makeB'Section,List)
[makeB'Slice,B'Homogenization]
[makeB'Section,B'NumberCoefficients]
[makeB'Section,NameB'Section]
[makeB'Section,B'Homogenization]
[makeB'Section,ContainsPoint]
[makeB'Section,RandomCoefficientGenerator]
Headline
makeB'Section creates a hash table that ... | |||
Bertini_c37844c1_[makeB'Section,B'Homogenization] | Bertini | [makeB'Section,B'Homogenization] | makeB'Section creates a hash table that represents a hyperplane. | makeB'Section(l) | f="y^3-x*y+1"
s1=makeB'Section({x,y,1})
makeB'InputFile(storeBM2Files,
AffVariableGroup=>{x,y},
B'Polynomials=>{f,s1});
runBertini(storeBM2Files)
#importSolutionsFile(storeBM2Files)==3 | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: makeB'Section creates a hash table that represents a hyperplane.
USAGE: makeB'Section(l)
INPUTS: l:List
A list of variables.
EXAMPLE CODE:
```macaulay2
f="y^3-x*y+1"
s1=makeB'Section({x,y,1})
makeB'InputFile(storeBM2Files,
AffVariableGroup=>{x,y},
B'Polynomials=>{f,s1});
r... | Key
makeB'Section
(makeB'Section,List)
[makeB'Slice,B'Homogenization]
[makeB'Section,B'NumberCoefficients]
[makeB'Section,NameB'Section]
[makeB'Section,B'Homogenization]
[makeB'Section,ContainsPoint]
[makeB'Section,RandomCoefficientGenerator]
Headline
makeB'Section creates a hash table that ... | |||
Bertini_c37844c1_[makeB'Section,ContainsPoint] | Bertini | [makeB'Section,ContainsPoint] | makeB'Section creates a hash table that represents a hyperplane. | makeB'Section(l) | f="y^3-x*y+1"
s1=makeB'Section({x,y,1})
makeB'InputFile(storeBM2Files,
AffVariableGroup=>{x,y},
B'Polynomials=>{f,s1});
runBertini(storeBM2Files)
#importSolutionsFile(storeBM2Files)==3 | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: makeB'Section creates a hash table that represents a hyperplane.
USAGE: makeB'Section(l)
INPUTS: l:List
A list of variables.
EXAMPLE CODE:
```macaulay2
f="y^3-x*y+1"
s1=makeB'Section({x,y,1})
makeB'InputFile(storeBM2Files,
AffVariableGroup=>{x,y},
B'Polynomials=>{f,s1});
r... | Key
makeB'Section
(makeB'Section,List)
[makeB'Slice,B'Homogenization]
[makeB'Section,B'NumberCoefficients]
[makeB'Section,NameB'Section]
[makeB'Section,B'Homogenization]
[makeB'Section,ContainsPoint]
[makeB'Section,RandomCoefficientGenerator]
Headline
makeB'Section creates a hash table that ... | |||
Bertini_c37844c1_[makeB'Section,RandomCoefficientGenerator] | Bertini | [makeB'Section,RandomCoefficientGenerator] | makeB'Section creates a hash table that represents a hyperplane. | makeB'Section(l) | f="y^3-x*y+1"
s1=makeB'Section({x,y,1})
makeB'InputFile(storeBM2Files,
AffVariableGroup=>{x,y},
B'Polynomials=>{f,s1});
runBertini(storeBM2Files)
#importSolutionsFile(storeBM2Files)==3 | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: makeB'Section creates a hash table that represents a hyperplane.
USAGE: makeB'Section(l)
INPUTS: l:List
A list of variables.
EXAMPLE CODE:
```macaulay2
f="y^3-x*y+1"
s1=makeB'Section({x,y,1})
makeB'InputFile(storeBM2Files,
AffVariableGroup=>{x,y},
B'Polynomials=>{f,s1});
r... | Key
makeB'Section
(makeB'Section,List)
[makeB'Slice,B'Homogenization]
[makeB'Section,B'NumberCoefficients]
[makeB'Section,NameB'Section]
[makeB'Section,B'Homogenization]
[makeB'Section,ContainsPoint]
[makeB'Section,RandomCoefficientGenerator]
Headline
makeB'Section creates a hash table that ... | |||
Bertini_c9c339d8_makeB'Slice | Bertini | makeB'Slice | makeB'Slice creates a hash table that represents a linear slice. | makeB'Slice(sliceType,variableGroups) | --We can use slices to determine multidegrees.
f1="x0*y0+x1*y0+x2*y2"
f2="x0*y0^2+x1*y1*y2+x2*y0*y2"
variableGroups={{x0,x1,x2},{y0,y1,y2}}
xxSlice=makeB'Slice({2,0},variableGroups)
xySlice=makeB'Slice({1,1},variableGroups)
yySlice=makeB'Slice({0,2},variableGroups)
makeB'InputFile(sto... | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: makeB'Slice creates a hash table that represents a linear slice.
USAGE: makeB'Slice(sliceType,variableGroups)
INPUTS: sliceType:List
A list of integers or integer.
variableGroups:List
A list of list of variables or list of variables.
EXAMPLE CODE:
```macaulay2
--We can use slices to determine ... | Key
makeB'Slice
NameB'Slice
(makeB'Slice,Thing,List)
[makeB'Slice,B'NumberCoefficients]
[makeB'Slice,ContainsMultiProjectivePoint]
[makeB'Slice,ContainsPoint]
[makeB'Slice,NameB'Slice]
[makeB'Slice,RandomCoefficientGenerator]
Headline
makeB'Slice creates a hash table that represents a linear... | |||
Bertini_c9c339d8_NameB'Slice | Bertini | NameB'Slice | makeB'Slice creates a hash table that represents a linear slice. | makeB'Slice(sliceType,variableGroups) | --We can use slices to determine multidegrees.
f1="x0*y0+x1*y0+x2*y2"
f2="x0*y0^2+x1*y1*y2+x2*y0*y2"
variableGroups={{x0,x1,x2},{y0,y1,y2}}
xxSlice=makeB'Slice({2,0},variableGroups)
xySlice=makeB'Slice({1,1},variableGroups)
yySlice=makeB'Slice({0,2},variableGroups)
makeB'InputFile(sto... | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: makeB'Slice creates a hash table that represents a linear slice.
USAGE: makeB'Slice(sliceType,variableGroups)
INPUTS: sliceType:List
A list of integers or integer.
variableGroups:List
A list of list of variables or list of variables.
EXAMPLE CODE:
```macaulay2
--We can use slices to determine ... | Key
makeB'Slice
NameB'Slice
(makeB'Slice,Thing,List)
[makeB'Slice,B'NumberCoefficients]
[makeB'Slice,ContainsMultiProjectivePoint]
[makeB'Slice,ContainsPoint]
[makeB'Slice,NameB'Slice]
[makeB'Slice,RandomCoefficientGenerator]
Headline
makeB'Slice creates a hash table that represents a linear... | |||
Bertini_c9c339d8_(makeB'Slice,Thing,List) | Bertini | (makeB'Slice,Thing,List) | makeB'Slice creates a hash table that represents a linear slice. | makeB'Slice(sliceType,variableGroups) | --We can use slices to determine multidegrees.
f1="x0*y0+x1*y0+x2*y2"
f2="x0*y0^2+x1*y1*y2+x2*y0*y2"
variableGroups={{x0,x1,x2},{y0,y1,y2}}
xxSlice=makeB'Slice({2,0},variableGroups)
xySlice=makeB'Slice({1,1},variableGroups)
yySlice=makeB'Slice({0,2},variableGroups)
makeB'InputFile(sto... | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: makeB'Slice creates a hash table that represents a linear slice.
USAGE: makeB'Slice(sliceType,variableGroups)
INPUTS: sliceType:List
A list of integers or integer.
variableGroups:List
A list of list of variables or list of variables.
EXAMPLE CODE:
```macaulay2
--We can use slices to determine ... | Key
makeB'Slice
NameB'Slice
(makeB'Slice,Thing,List)
[makeB'Slice,B'NumberCoefficients]
[makeB'Slice,ContainsMultiProjectivePoint]
[makeB'Slice,ContainsPoint]
[makeB'Slice,NameB'Slice]
[makeB'Slice,RandomCoefficientGenerator]
Headline
makeB'Slice creates a hash table that represents a linear... | |||
Bertini_c9c339d8_[makeB'Slice,B'NumberCoefficients] | Bertini | [makeB'Slice,B'NumberCoefficients] | makeB'Slice creates a hash table that represents a linear slice. | makeB'Slice(sliceType,variableGroups) | --We can use slices to determine multidegrees.
f1="x0*y0+x1*y0+x2*y2"
f2="x0*y0^2+x1*y1*y2+x2*y0*y2"
variableGroups={{x0,x1,x2},{y0,y1,y2}}
xxSlice=makeB'Slice({2,0},variableGroups)
xySlice=makeB'Slice({1,1},variableGroups)
yySlice=makeB'Slice({0,2},variableGroups)
makeB'InputFile(sto... | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: makeB'Slice creates a hash table that represents a linear slice.
USAGE: makeB'Slice(sliceType,variableGroups)
INPUTS: sliceType:List
A list of integers or integer.
variableGroups:List
A list of list of variables or list of variables.
EXAMPLE CODE:
```macaulay2
--We can use slices to determine ... | Key
makeB'Slice
NameB'Slice
(makeB'Slice,Thing,List)
[makeB'Slice,B'NumberCoefficients]
[makeB'Slice,ContainsMultiProjectivePoint]
[makeB'Slice,ContainsPoint]
[makeB'Slice,NameB'Slice]
[makeB'Slice,RandomCoefficientGenerator]
Headline
makeB'Slice creates a hash table that represents a linear... | |||
Bertini_c9c339d8_[makeB'Slice,ContainsMultiProjectivePoint] | Bertini | [makeB'Slice,ContainsMultiProjectivePoint] | makeB'Slice creates a hash table that represents a linear slice. | makeB'Slice(sliceType,variableGroups) | --We can use slices to determine multidegrees.
f1="x0*y0+x1*y0+x2*y2"
f2="x0*y0^2+x1*y1*y2+x2*y0*y2"
variableGroups={{x0,x1,x2},{y0,y1,y2}}
xxSlice=makeB'Slice({2,0},variableGroups)
xySlice=makeB'Slice({1,1},variableGroups)
yySlice=makeB'Slice({0,2},variableGroups)
makeB'InputFile(sto... | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: makeB'Slice creates a hash table that represents a linear slice.
USAGE: makeB'Slice(sliceType,variableGroups)
INPUTS: sliceType:List
A list of integers or integer.
variableGroups:List
A list of list of variables or list of variables.
EXAMPLE CODE:
```macaulay2
--We can use slices to determine ... | Key
makeB'Slice
NameB'Slice
(makeB'Slice,Thing,List)
[makeB'Slice,B'NumberCoefficients]
[makeB'Slice,ContainsMultiProjectivePoint]
[makeB'Slice,ContainsPoint]
[makeB'Slice,NameB'Slice]
[makeB'Slice,RandomCoefficientGenerator]
Headline
makeB'Slice creates a hash table that represents a linear... | |||
Bertini_c9c339d8_[makeB'Slice,ContainsPoint] | Bertini | [makeB'Slice,ContainsPoint] | makeB'Slice creates a hash table that represents a linear slice. | makeB'Slice(sliceType,variableGroups) | --We can use slices to determine multidegrees.
f1="x0*y0+x1*y0+x2*y2"
f2="x0*y0^2+x1*y1*y2+x2*y0*y2"
variableGroups={{x0,x1,x2},{y0,y1,y2}}
xxSlice=makeB'Slice({2,0},variableGroups)
xySlice=makeB'Slice({1,1},variableGroups)
yySlice=makeB'Slice({0,2},variableGroups)
makeB'InputFile(sto... | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: makeB'Slice creates a hash table that represents a linear slice.
USAGE: makeB'Slice(sliceType,variableGroups)
INPUTS: sliceType:List
A list of integers or integer.
variableGroups:List
A list of list of variables or list of variables.
EXAMPLE CODE:
```macaulay2
--We can use slices to determine ... | Key
makeB'Slice
NameB'Slice
(makeB'Slice,Thing,List)
[makeB'Slice,B'NumberCoefficients]
[makeB'Slice,ContainsMultiProjectivePoint]
[makeB'Slice,ContainsPoint]
[makeB'Slice,NameB'Slice]
[makeB'Slice,RandomCoefficientGenerator]
Headline
makeB'Slice creates a hash table that represents a linear... | |||
Bertini_c9c339d8_[makeB'Slice,NameB'Slice] | Bertini | [makeB'Slice,NameB'Slice] | makeB'Slice creates a hash table that represents a linear slice. | makeB'Slice(sliceType,variableGroups) | --We can use slices to determine multidegrees.
f1="x0*y0+x1*y0+x2*y2"
f2="x0*y0^2+x1*y1*y2+x2*y0*y2"
variableGroups={{x0,x1,x2},{y0,y1,y2}}
xxSlice=makeB'Slice({2,0},variableGroups)
xySlice=makeB'Slice({1,1},variableGroups)
yySlice=makeB'Slice({0,2},variableGroups)
makeB'InputFile(sto... | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: makeB'Slice creates a hash table that represents a linear slice.
USAGE: makeB'Slice(sliceType,variableGroups)
INPUTS: sliceType:List
A list of integers or integer.
variableGroups:List
A list of list of variables or list of variables.
EXAMPLE CODE:
```macaulay2
--We can use slices to determine ... | Key
makeB'Slice
NameB'Slice
(makeB'Slice,Thing,List)
[makeB'Slice,B'NumberCoefficients]
[makeB'Slice,ContainsMultiProjectivePoint]
[makeB'Slice,ContainsPoint]
[makeB'Slice,NameB'Slice]
[makeB'Slice,RandomCoefficientGenerator]
Headline
makeB'Slice creates a hash table that represents a linear... | |||
Bertini_c9c339d8_[makeB'Slice,RandomCoefficientGenerator] | Bertini | [makeB'Slice,RandomCoefficientGenerator] | makeB'Slice creates a hash table that represents a linear slice. | makeB'Slice(sliceType,variableGroups) | --We can use slices to determine multidegrees.
f1="x0*y0+x1*y0+x2*y2"
f2="x0*y0^2+x1*y1*y2+x2*y0*y2"
variableGroups={{x0,x1,x2},{y0,y1,y2}}
xxSlice=makeB'Slice({2,0},variableGroups)
xySlice=makeB'Slice({1,1},variableGroups)
yySlice=makeB'Slice({0,2},variableGroups)
makeB'InputFile(sto... | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: makeB'Slice creates a hash table that represents a linear slice.
USAGE: makeB'Slice(sliceType,variableGroups)
INPUTS: sliceType:List
A list of integers or integer.
variableGroups:List
A list of list of variables or list of variables.
EXAMPLE CODE:
```macaulay2
--We can use slices to determine ... | Key
makeB'Slice
NameB'Slice
(makeB'Slice,Thing,List)
[makeB'Slice,B'NumberCoefficients]
[makeB'Slice,ContainsMultiProjectivePoint]
[makeB'Slice,ContainsPoint]
[makeB'Slice,NameB'Slice]
[makeB'Slice,RandomCoefficientGenerator]
Headline
makeB'Slice creates a hash table that represents a linear... | |||
Bertini_a085220c_radicalList | Bertini | radicalList | A support function that removes multiplicities of numbers in a list up to a tolerance. | radicalList(List,Number)
radicalList(List) | radicalList({2.000,1.999})
radicalList({2.000,1.999},1e-10)
radicalList({2.000,1.999},1e-2) | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: A support function that removes multiplicities of numbers in a list up to a tolerance.
USAGE: radicalList(List,Number)
radicalList(List)
INPUTS: L:List
A list of complex or real numbers.
N:Number
A small real number.
EXAMPLE CODE:
```macaulay2
radicalList({2.000,1.999})
radicalList({2.... | Key
radicalList
(radicalList,List)
(radicalList,List,Number)
Headline
A support function that removes multiplicities of numbers in a list up to a tolerance.
Usage
radicalList(List,Number)
radicalList(List)
Inputs
L:List
A list of complex or real numbers.
N:Number
A small real number... | |||
Bertini_a085220c_(radicalList,List) | Bertini | (radicalList,List) | A support function that removes multiplicities of numbers in a list up to a tolerance. | radicalList(List,Number)
radicalList(List) | radicalList({2.000,1.999})
radicalList({2.000,1.999},1e-10)
radicalList({2.000,1.999},1e-2) | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: A support function that removes multiplicities of numbers in a list up to a tolerance.
USAGE: radicalList(List,Number)
radicalList(List)
INPUTS: L:List
A list of complex or real numbers.
N:Number
A small real number.
EXAMPLE CODE:
```macaulay2
radicalList({2.000,1.999})
radicalList({2.... | Key
radicalList
(radicalList,List)
(radicalList,List,Number)
Headline
A support function that removes multiplicities of numbers in a list up to a tolerance.
Usage
radicalList(List,Number)
radicalList(List)
Inputs
L:List
A list of complex or real numbers.
N:Number
A small real number... | |||
Bertini_a085220c_(radicalList,List,Number) | Bertini | (radicalList,List,Number) | A support function that removes multiplicities of numbers in a list up to a tolerance. | radicalList(List,Number)
radicalList(List) | radicalList({2.000,1.999})
radicalList({2.000,1.999},1e-10)
radicalList({2.000,1.999},1e-2) | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: A support function that removes multiplicities of numbers in a list up to a tolerance.
USAGE: radicalList(List,Number)
radicalList(List)
INPUTS: L:List
A list of complex or real numbers.
N:Number
A small real number.
EXAMPLE CODE:
```macaulay2
radicalList({2.000,1.999})
radicalList({2.... | Key
radicalList
(radicalList,List)
(radicalList,List,Number)
Headline
A support function that removes multiplicities of numbers in a list up to a tolerance.
Usage
radicalList(List,Number)
radicalList(List)
Inputs
L:List
A list of complex or real numbers.
N:Number
A small real number... | |||
Bertini_96ad04e5_NumberToB'String | Bertini | NumberToB'String | Translates a number to a string that Bertini can read. | NumberToB'String(n) | NumberToB'String(2+5*ii)
NumberToB'String(1/3,M2Precision=>16)
NumberToB'String(1/3,M2Precision=>128) | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: Translates a number to a string that Bertini can read.
USAGE: NumberToB'String(n)
INPUTS: n:Thing
n is a number.
EXAMPLE CODE:
```macaulay2
NumberToB'String(2+5*ii)
NumberToB'String(1/3,M2Precision=>16)
NumberToB'String(1/3,M2Precision=>128)
``` | Key
NumberToB'String
(NumberToB'String,Thing)
Headline
Translates a number to a string that Bertini can read.
Usage
NumberToB'String(n)
Inputs
n:Thing
n is a number.
Description
Text
This function takes a number as an input then outputs a string to represent this number to Bertini.
... | |||
Bertini_96ad04e5_(NumberToB'String,Thing) | Bertini | (NumberToB'String,Thing) | Translates a number to a string that Bertini can read. | NumberToB'String(n) | NumberToB'String(2+5*ii)
NumberToB'String(1/3,M2Precision=>16)
NumberToB'String(1/3,M2Precision=>128) | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: Translates a number to a string that Bertini can read.
USAGE: NumberToB'String(n)
INPUTS: n:Thing
n is a number.
EXAMPLE CODE:
```macaulay2
NumberToB'String(2+5*ii)
NumberToB'String(1/3,M2Precision=>16)
NumberToB'String(1/3,M2Precision=>128)
``` | Key
NumberToB'String
(NumberToB'String,Thing)
Headline
Translates a number to a string that Bertini can read.
Usage
NumberToB'String(n)
Inputs
n:Thing
n is a number.
Description
Text
This function takes a number as an input then outputs a string to represent this number to Bertini.
... | |||
Bertini_86e5079a_valueBM2 | Bertini | valueBM2 | This function makes a number in CC from a string. | valueBM2(s) | valueBM2("1.22e-2 4e-5")
valueBM2("1.22 4e-5")
valueBM2("1.22 4")
valueBM2("1.22e+2 4 ")
n1=valueBM2("1.11",M2Precision=>52)
n2=valueBM2("1.11",M2Precision=>300)
toExternalString n1
toExternalString n2 | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: This function makes a number in CC from a string.
USAGE: valueBM2(s)
INPUTS: s:String
A string that gives a coordinate.
EXAMPLE CODE:
```macaulay2
valueBM2("1.22e-2 4e-5")
valueBM2("1.22 4e-5")
valueBM2("1.22 4")
valueBM2("1.22e+2 4 ")
n1=valueBM2("1.11",M2Precision=>52)
n2=va... | Key
valueBM2
(valueBM2,String)
Headline
This function makes a number in CC from a string.
Usage
valueBM2(s)
Inputs
s:String
A string that gives a coordinate.
Description
Text
This function take a string representing a coordinate in a Bertini solutions file or parameter file and makes a n... | |||
Bertini_86e5079a_(valueBM2,String) | Bertini | (valueBM2,String) | This function makes a number in CC from a string. | valueBM2(s) | valueBM2("1.22e-2 4e-5")
valueBM2("1.22 4e-5")
valueBM2("1.22 4")
valueBM2("1.22e+2 4 ")
n1=valueBM2("1.11",M2Precision=>52)
n2=valueBM2("1.11",M2Precision=>300)
toExternalString n1
toExternalString n2 | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: This function makes a number in CC from a string.
USAGE: valueBM2(s)
INPUTS: s:String
A string that gives a coordinate.
EXAMPLE CODE:
```macaulay2
valueBM2("1.22e-2 4e-5")
valueBM2("1.22 4e-5")
valueBM2("1.22 4")
valueBM2("1.22e+2 4 ")
n1=valueBM2("1.11",M2Precision=>52)
n2=va... | Key
valueBM2
(valueBM2,String)
Headline
This function makes a number in CC from a string.
Usage
valueBM2(s)
Inputs
s:String
A string that gives a coordinate.
Description
Text
This function take a string representing a coordinate in a Bertini solutions file or parameter file and makes a n... | |||
Bertini_ed0e0433_subPoint | Bertini | subPoint | This function evaluates a polynomial or matrix at a point. | subPoint(f,v,p) | R=CC_200[x,y,z]
f=z*x+y
subPoint(f,{x,y,z},{.1,.2,.3},SubIntoCC=>true)
subPoint(f,{x,y,z},{.1234567890123456789012345678901234567890p200,
0,1},SubIntoCC=>true,M2Precision=>200) | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: This function evaluates a polynomial or matrix at a point.
USAGE: subPoint(f,v,p)
INPUTS: f:Thing
A polynomial or a matrix.
v:List
List of variables that we will be evaluated at the point.
p:Thing
A point or a list of coordinates or a matrix.
Caveat
When SubIntoCC is set to true the... | Key
subPoint
(subPoint,Thing,List,Thing)
Headline
This function evaluates a polynomial or matrix at a point.
Usage
subPoint(f,v,p)
Inputs
f:Thing
A polynomial or a matrix.
v:List
List of variables that we will be evaluated at the point.
p:Thing
A point or a list of coordinates or ... | |||
Bertini_ed0e0433_(subPoint,Thing,List,Thing) | Bertini | (subPoint,Thing,List,Thing) | This function evaluates a polynomial or matrix at a point. | subPoint(f,v,p) | R=CC_200[x,y,z]
f=z*x+y
subPoint(f,{x,y,z},{.1,.2,.3},SubIntoCC=>true)
subPoint(f,{x,y,z},{.1234567890123456789012345678901234567890p200,
0,1},SubIntoCC=>true,M2Precision=>200) | M2_git/M2/M2/Macaulay2/packages/Bertini.m2 | stable | HEADLINE: This function evaluates a polynomial or matrix at a point.
USAGE: subPoint(f,v,p)
INPUTS: f:Thing
A polynomial or a matrix.
v:List
List of variables that we will be evaluated at the point.
p:Thing
A point or a list of coordinates or a matrix.
Caveat
When SubIntoCC is set to true the... | Key
subPoint
(subPoint,Thing,List,Thing)
Headline
This function evaluates a polynomial or matrix at a point.
Usage
subPoint(f,v,p)
Inputs
f:Thing
A polynomial or a matrix.
v:List
List of variables that we will be evaluated at the point.
p:Thing
A point or a list of coordinates or ... | |||
BettiCharacters_ecda26fe_(tensor,Character,Character) | BettiCharacters | (tensor,Character,Character) | tensor product of characters | c ^** m | a ^** 3 | "BettiCharacters Example 1"
"BettiCharacters Example 2"
Node | M2_git/M2/M2/Macaulay2/packages/BettiCharacters.m2 | stable | HEADLINE: tensor product of characters
USAGE: c ^** m
INPUTS: A:Character
m:ZZ
OUTPUTS: :Character
the m-th tensor power of c
EXAMPLE CODE:
```macaulay2
a ^** 3
```
SEEALSO: "BettiCharacters Example 1"
"BettiCharacters Example 2"
Node | Node
Key
BettiCharacters
Headline
finite group characters on free resolutions and graded modules
Description
Text
This package contains functions for computing characters
of free resolutions and graded modules equipped with
the action of a finite group.
Let $R$ be a ... | ||
BettiCharacters_ecda26fe_(symbol_**,Character,Character) | BettiCharacters | (symbol **,Character,Character) | tensor product of characters | c ^** m | a ^** 3 | "BettiCharacters Example 1"
"BettiCharacters Example 2"
Node | M2_git/M2/M2/Macaulay2/packages/BettiCharacters.m2 | stable | HEADLINE: tensor product of characters
USAGE: c ^** m
INPUTS: A:Character
m:ZZ
OUTPUTS: :Character
the m-th tensor power of c
EXAMPLE CODE:
```macaulay2
a ^** 3
```
SEEALSO: "BettiCharacters Example 1"
"BettiCharacters Example 2"
Node | Node
Key
BettiCharacters
Headline
finite group characters on free resolutions and graded modules
Description
Text
This package contains functions for computing characters
of free resolutions and graded modules equipped with
the action of a finite group.
Let $R$ be a ... | ||
BettiCharacters_ecda26fe_(symbol_^**,Character,ZZ) | BettiCharacters | (symbol ^**,Character,ZZ) | tensor product of characters | c ^** m | a ^** 3 | "BettiCharacters Example 1"
"BettiCharacters Example 2"
Node | M2_git/M2/M2/Macaulay2/packages/BettiCharacters.m2 | stable | HEADLINE: tensor product of characters
USAGE: c ^** m
INPUTS: A:Character
m:ZZ
OUTPUTS: :Character
the m-th tensor power of c
EXAMPLE CODE:
```macaulay2
a ^** 3
```
SEEALSO: "BettiCharacters Example 1"
"BettiCharacters Example 2"
Node | Node
Key
BettiCharacters
Headline
finite group characters on free resolutions and graded modules
Description
Text
This package contains functions for computing characters
of free resolutions and graded modules equipped with
the action of a finite group.
Let $R$ be a ... | ||
Book3264Examples_398c73aa_placeholderToSchubertBasis | Book3264Examples | placeholderToSchubertBasis | Express cycles on G(k,n) in terms of the Schubert basis | placeholderToSchubertBasis(c,G) | A = flagBundle({3,3},VariableNames => H)
S = A.Bundles#0
G = flagBundle({1,2},S,VariableNames => K)
c = H_(2,3)*((K_(2,1))^2) + H_(1,1)*K_(2,2)
placeholderToSchubertBasis(c,G) | M2_git/M2/M2/Macaulay2/packages/Book3264Examples.m2 | stable | HEADLINE: Express cycles on G(k,n) in terms of the Schubert basis
USAGE: placeholderToSchubertBasis(c,G)
INPUTS: G:FlagBundle
Any grassmannian (i.e. one-step flag variety) of $k$-dimensional subspaces of a rank-$n$
bundle
c:RingElement
An element of the intersection ring of G
OUTPUTS: :
A... | Key
placeholderToSchubertBasis
(placeholderToSchubertBasis,RingElement,FlagBundle)
Headline
Express cycles on G(k,n) in terms of the Schubert basis
Usage
placeholderToSchubertBasis(c,G)
Inputs
G:FlagBundle
Any grassmannian (i.e. one-step flag variety) of $k$-dimensional subspaces of a ra... | |||
Book3264Examples_398c73aa_(placeholderToSchubertBasis,RingElement,FlagBundle) | Book3264Examples | (placeholderToSchubertBasis,RingElement,FlagBundle) | Express cycles on G(k,n) in terms of the Schubert basis | placeholderToSchubertBasis(c,G) | A = flagBundle({3,3},VariableNames => H)
S = A.Bundles#0
G = flagBundle({1,2},S,VariableNames => K)
c = H_(2,3)*((K_(2,1))^2) + H_(1,1)*K_(2,2)
placeholderToSchubertBasis(c,G) | M2_git/M2/M2/Macaulay2/packages/Book3264Examples.m2 | stable | HEADLINE: Express cycles on G(k,n) in terms of the Schubert basis
USAGE: placeholderToSchubertBasis(c,G)
INPUTS: G:FlagBundle
Any grassmannian (i.e. one-step flag variety) of $k$-dimensional subspaces of a rank-$n$
bundle
c:RingElement
An element of the intersection ring of G
OUTPUTS: :
A... | Key
placeholderToSchubertBasis
(placeholderToSchubertBasis,RingElement,FlagBundle)
Headline
Express cycles on G(k,n) in terms of the Schubert basis
Usage
placeholderToSchubertBasis(c,G)
Inputs
G:FlagBundle
Any grassmannian (i.e. one-step flag variety) of $k$-dimensional subspaces of a ra... | |||
Book3264Examples_2ce22cfc_diagrams | Book3264Examples | diagrams | Ferrers diagrams contained in a rectangle | diagrams(k,n) | M2_git/M2/M2/Macaulay2/packages/Book3264Examples.m2 | stable | HEADLINE: Ferrers diagrams contained in a rectangle
USAGE: diagrams(k,n)
INPUTS: k:ZZ
maximum size of each entry in diagram
n:ZZ
number of entries in diagram
OUTPUTS: :
a list of lists of integers $\{a_1, \dots, a_n\}$ such that
$k \geq a_1 \geq ... \geq a_n \geq 0$ | Key
diagrams
(diagrams,ZZ,ZZ)
Headline
Ferrers diagrams contained in a rectangle
Usage
diagrams(k,n)
Inputs
k:ZZ
maximum size of each entry in diagram
n:ZZ
number of entries in diagram
Outputs
:
a list of lists of integers $\{a_1, \dots, a_n\}$ such that
$k \... | ||||
Book3264Examples_2ce22cfc_(diagrams,ZZ,ZZ) | Book3264Examples | (diagrams,ZZ,ZZ) | Ferrers diagrams contained in a rectangle | diagrams(k,n) | M2_git/M2/M2/Macaulay2/packages/Book3264Examples.m2 | stable | HEADLINE: Ferrers diagrams contained in a rectangle
USAGE: diagrams(k,n)
INPUTS: k:ZZ
maximum size of each entry in diagram
n:ZZ
number of entries in diagram
OUTPUTS: :
a list of lists of integers $\{a_1, \dots, a_n\}$ such that
$k \geq a_1 \geq ... \geq a_n \geq 0$ | Key
diagrams
(diagrams,ZZ,ZZ)
Headline
Ferrers diagrams contained in a rectangle
Usage
diagrams(k,n)
Inputs
k:ZZ
maximum size of each entry in diagram
n:ZZ
number of entries in diagram
Outputs
:
a list of lists of integers $\{a_1, \dots, a_n\}$ such that
$k \... | ||||
Book3264Examples_0dcea4a2_(diagrams,ZZ,ZZ,ZZ) | Book3264Examples | (diagrams,ZZ,ZZ,ZZ) | Partitions contained in a rectangle | diagrams(k,n,d) | M2_git/M2/M2/Macaulay2/packages/Book3264Examples.m2 | stable | HEADLINE: Partitions contained in a rectangle
USAGE: diagrams(k,n,d)
INPUTS: k:ZZ
maximum size of each entry in partitions
n:ZZ
number of entries in partition
d:ZZ
number being partitioned
OUTPUTS: :
a list of lists of integers $\{a_1, \dots, a_n\}$ such that
$k \geq a_1 \geq .... | Key
(diagrams,ZZ,ZZ,ZZ)
Headline
Partitions contained in a rectangle
Usage
diagrams(k,n,d)
Inputs
k:ZZ
maximum size of each entry in partitions
n:ZZ
number of entries in partition
d:ZZ
number being partitioned
Outputs
:
a list of lists of integers $\{a_1, \dot... | ||||
Book3264Examples_54d960aa_Book3264Examples | Book3264Examples | Book3264Examples | Examples using M2 and Schubert2 to do intersection theory | M2_git/M2/M2/Macaulay2/packages/Book3264Examples.m2 | stable | HEADLINE: Examples using M2 and Schubert2 to do intersection theory | Key
Book3264Examples
Headline
Examples using M2 and Schubert2 to do intersection theory
Description
Text
This package consists almost entirely of example code for the main text and exercises of the book
'3264 \& All That: Intersection Theory in Algebraic Geometry' by Eisenbud and Harris. Mo... | |||||
Book3264Examples_169b6726_"Intersection_Theory_Section_4.1" | Book3264Examples | "Intersection Theory Section 4.1" | The coordinate ring of the Grassmannian | grass = (k,n) -> flagBundle({k,n-k}) --In Schubert, we build Grassmannians as special cases
G = grass(2,4) -- Our favorite GG(1,3)
(S,Q) = G.Bundles -- S is the universal subbundle, Q is the universal quotient bundle
S -- Schubert tells us that S is an abstract sheaf of rank 2
Q -- And so is Q. | M2_git/M2/M2/Macaulay2/packages/Book3264Examples.m2 | stable | HEADLINE: The coordinate ring of the Grassmannian
EXAMPLE CODE:
```macaulay2
grass = (k,n) -> flagBundle({k,n-k}) --In Schubert, we build Grassmannians as special cases
G = grass(2,4) -- Our favorite GG(1,3)
(S,Q) = G.Bundles -- S is the universal subbundle, Q is the universal quotient bundle
S -- Sc... | Key
"Intersection Theory Section 4.1"
Headline
The coordinate ring of the Grassmannian
Description
Text
Subsection 4.1.1
We can use Macaulay2 to build the coordinate ring of $G(k,n)$
using the Plücker embedding. Exercise 4.4 is the simplest
interesting case, $G(2,4) = {\m... | ||||
Book3264Examples_bffe6cb4_"Intersection_Theory_Section_4.2" | Book3264Examples | "Intersection Theory Section 4.2" | The Chow ring of GG(1,3) | sub(tangentlines, d => 2/1) | M2_git/M2/M2/Macaulay2/packages/Book3264Examples.m2 | stable | HEADLINE: The Chow ring of GG(1,3)
EXAMPLE CODE:
```macaulay2
sub(tangentlines, d => 2/1)
``` | Key
"Intersection Theory Section 4.2"
Headline
The Chow ring of GG(1,3)
Description
Text
Subsection 4.2.2
Schubert2 identifies ${\mathbb G}(1,3)$ with its Chow ring. We can see this directly using the
command {\tt intersectionRing}.
Example
G = flagBundle({2,2})
... | ||||
Book3264Examples_1a05f7fa_"Intersection_Theory_Section_4.3" | Book3264Examples | "Intersection Theory Section 4.3" | Schubert calculus in general | G36 = flagBundle({3,3})
c = placeholderSchubertCycle({2,1,0},G36)
placeholderToSchubertBasis(c^2,G36) | M2_git/M2/M2/Macaulay2/packages/Book3264Examples.m2 | stable | HEADLINE: Schubert calculus in general
EXAMPLE CODE:
```macaulay2
G36 = flagBundle({3,3})
c = placeholderSchubertCycle({2,1,0},G36)
placeholderToSchubertBasis(c^2,G36)
``` | Key
"Intersection Theory Section 4.3"
Headline
Schubert calculus in general
Description
Text
Subsection 4.3.1
We build arbitrary Schubert cycles using the command {\tt placeholderSchubertCycle}.
For example, on ${\mathbb G}(2,4)$, we can build the cycle $\sigma_{2,1,1}$ as follo... | ||||
Book3264Examples_7a8870e0_"Intersection_Theory_Section_5.2" | Book3264Examples | "Intersection Theory Section 5.2" | Basics of vector bundles and Chern classes | Q = abstractSheaf(G,ChernClass=>1+H_(2,1)+H_(2,2)+H_(2,3),Rank=>3)
chern Q | M2_git/M2/M2/Macaulay2/packages/Book3264Examples.m2 | stable | HEADLINE: Basics of vector bundles and Chern classes
EXAMPLE CODE:
```macaulay2
Q = abstractSheaf(G,ChernClass=>1+H_(2,1)+H_(2,2)+H_(2,3),Rank=>3)
chern Q
``` | Key
"Intersection Theory Section 5.2"
Headline
Basics of vector bundles and Chern classes
Description
Text
In Schubert2, a vector bundle (or more generally, an @TO AbstractSheaf@) is given by two pieces
of data: its Chern classes and its rank. Schubert2 has many built-in bundles for common
... | ||||
Book3264Examples_c32822fc_"Intersection_Theory_Section_5.3" | Book3264Examples | "Intersection Theory Section 5.3" | Operations on vector bundles | GG13 = flagBundle({2,2})
f = GG13 / point -- The structure map of G13
B = abstractSheaf(point,Rank=>2) -- The trivial vector bundle of rank 2 over point
f^* B --Pulls back to a trivial bundle of rank 2 on G13 | M2_git/M2/M2/Macaulay2/packages/Book3264Examples.m2 | stable | HEADLINE: Operations on vector bundles
EXAMPLE CODE:
```macaulay2
GG13 = flagBundle({2,2})
f = GG13 / point -- The structure map of G13
B = abstractSheaf(point,Rank=>2) -- The trivial vector bundle of rank 2 over point
f^* B --Pulls back to a trivial bundle of rank 2 on G13
``` | Key
"Intersection Theory Section 5.3"
Headline
Operations on vector bundles
Description
Text
Schubert2 has all of the basic operations on vector bundles and their Chern classes built in.
A full list of all of the available operations can be found in the documentation for
@TO AbstractSh... | ||||
Book3264Examples_987ed262_"Intersection_Theory_Section_5.4.1-2" | Book3264Examples | "Intersection Theory Section 5.4.1-2" | Chern class computations on projective space | TP3 = (4 * O1) - 1
chern T == chern TP3
rank T == rank TP3 | M2_git/M2/M2/Macaulay2/packages/Book3264Examples.m2 | stable | HEADLINE: Chern class computations on projective space
EXAMPLE CODE:
```macaulay2
TP3 = (4 * O1) - 1
chern T == chern TP3
rank T == rank TP3
``` | Key
"Intersection Theory Section 5.4.1-2"
Headline
Chern class computations on projective space
Description
Text
Subsection 5.4.1 - Universal bundles on projective space
We have two different methods in Schubert2 for producing projective spaces. We have already
seen one method:... | ||||
Book3264Examples_1c68b251_"Intersection_Theory_Section_5.4.3" | Book3264Examples | "Intersection Theory Section 5.4.3" | Tangent bundles to hypersurfaces | eulerChar = (n,m) -> (
S := base(a,b);
Pn := flagBundle({1,n},S);
PnxPm := flagBundle({1,m},Pn);
T := tangentBundle(PnxPm);
O1Pn := dual(Pn.Bundles#0);
f := PnxPm / Pn; -- the first projection map from P2xP3 to P2
O10 := f^* O1Pn; -- we pull back O_P2(1) to get O(1,0)
O01 := dual(PnxPm.B... | M2_git/M2/M2/Macaulay2/packages/Book3264Examples.m2 | stable | HEADLINE: Tangent bundles to hypersurfaces
EXAMPLE CODE:
```macaulay2
eulerChar = (n,m) -> (
S := base(a,b);
Pn := flagBundle({1,n},S);
PnxPm := flagBundle({1,m},Pn);
T := tangentBundle(PnxPm);
O1Pn := dual(Pn.Bundles#0);
f := PnxPm / Pn; -- the first projection map from P2xP3 to P2
O10 := ... | Key
"Intersection Theory Section 5.4.3"
Headline
Tangent bundles to hypersurfaces
Description
Text
Subsection 5.4.3
To treat tangent bundles to hypersurfaces in Schubert2, we have to be a little more careful.
If $X$ is a hypersurface in ${\mathbb P}^n$, we cannot hope to c... | ||||
Book3264Examples_62a51854_"Intersection_Theory_Section_5.4.4" | Book3264Examples | "Intersection Theory Section 5.4.4" | Bundles on Grassmannians | P5 = flagBundle({1,5})
TP5 = tangentBundle(P5)
O1 = dual(P5.Bundles#0)
O2 = O1^**2
TG = chern(TP5 - O2) -- total Chern class of TG in terms of the hyperplane section
-- the coefficient of H_(2,i) is the coefficient of sigma_1^i
sigma_1 = chern(1,G13.Bundles#1)
... | M2_git/M2/M2/Macaulay2/packages/Book3264Examples.m2 | stable | HEADLINE: Bundles on Grassmannians
EXAMPLE CODE:
```macaulay2
P5 = flagBundle({1,5})
TP5 = tangentBundle(P5)
O1 = dual(P5.Bundles#0)
O2 = O1^**2
TG = chern(TP5 - O2) -- total Chern class of TG in terms of the hyperplane section
-- the coefficient of H_(2,i) is the coe... | Key
"Intersection Theory Section 5.4.4"
Headline
Bundles on Grassmannians
Description
Text
We already know everything necessary to calculate Chern classes of bundles on Grassmannians.
As an example, we can do:
Exercise 5.17: {\bf Calculate the Chern classes of the tangent... |
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