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On analysing expressions
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The grade of zero
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Factorization
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Symbols

SFAExtract
SetBookPointAssociation
ToReducedVectorForm
UnpackIcons
ActiveGrassmannAtlas
AddAssertions
AddTwoExteriorFactors
AddTwoProductFactors
AggregateScalars
AggregateSigns
AllPreferences
AngleBracket
AntisymmetryConstraints
Assertions
AssociationKeysPalette
AssociationOutput
Basis
BasisPalette
BasisPushforward
BasisSymbolQ
BivectorFormQ
Body
BodyQ
BoundSimpleBivectorQ
BoundSimpleMVectorQ
BoundVectorFormQ
ClearDotDisplay
ClearFluxionNotation
CliffordProduct
CliffordProductQ
Cobasis
CobasisElement
CobasisPalette
CollectTerms
CommonFactorRules
CommonFactorTheorem
CommonFactorTheoremA
CommonFactorTheoremB
CommonOperationsPalette
Compare
ComplementFactor
ComplementPalette
ComplementQ
ComplementSign
ComplementaryGrade
Complements
CompleteExteriorFactorize
ComposeBasisForm
ComposeBivector
ComposeBoundSimpleBivector
ComposeBoundSimpleMVector
ComposeBoundVector
ComposeCliffordGradedForm
ComposeCospan
ComposeExteriorGradedForm
ComposeGeneralizedGradedForm
ComposeGradedForm
ComposeGrassmannElement
ComposeGrassmannLinearEquation
ComposeHypercomplexGradedForm
ComposeInteriorExpansion
ComposeInteriorGradedForm
ComposeLineElement
ComposeMElement
ComposeMPlaneElement
ComposeMVector
ComposePlaneElement
ComposePoint
ComposeRegressiveGradedForm
ComposeScalarProductMatrix
ComposeScrewElement
ComposeShortBasisForm
ComposeSimpleBivector
ComposeSimpleForm
ComposeSimpleMElement
ComposeSimpleMVector
ComposeSpan
ComposeSymbolicFactorMatrix1
ComposeSymbolicFactorMatrix2
ComposeSymbolicFactorMatrix3
ComposeSymbolicMVector1
ComposeSymbolicMVector2
ComposeSymbolicMVector3
ComposeVector
CompressedDataObject
ComputeInteriorProductFormula
ComputeInteriorProductFormulaB
ComputeNSpaceFactoringData
Condense
CongruenceFactor
CongruenceSimplify
CongruentExpressionQ
FastInteriorEvaluate
ContractInteriorOnBasis
ContractInteriorProducts
Contractor
ContractorRules
ContractorToInteriorProduct
ContractorsToInteriorProducts
ConvertCliffordToGeneralized
ConvertComplements
ConvertGeneralizedToInterior
ConvertGeneralizedToInteriorB
ConvertHypercomplexToGeneralized
ConvertInnerToScalar
ConvertInteriorToInner
ConvertToContractor
CreateSymbolList
CrossProduct
CurrentSpacePreferences
DOrbitFunction
DeclareBookDefault
DeclareExtraFormSymbols
DeclareExtraScalarSymbols
DeclareExtraVectorSymbols
BuildSpacePreferencesAssociation
DeclareMetric
DeclareScalarSymbols
DeclareUserFormSymbols
DeclareUserScalarSymbols
DeclareUserVectorSymbols
DeclareVectorSymbols
DecomposeSum
DefaultScalarSymbols
DefaultVectorSymbols
DefineCoordinateElements
DefineScalarFunction
DerivationBreakout
DeriveInteriorProductFormula
DeriveProductFormula
DifferentialExponentialOperator
Dimension
DimensionPalette
DimensionSymbol
DirectionalDerivative
DisjointGradesQ
DisjointRawGradesQ
DistributeExteriorWeights
DistributeProductWeights
DtConstants
DtIndependentVariables
Dual
EstablishFluxionNotation
EvaluateContractors
EvaluateContractorsMF
EvaluateCrossProducts
EvaluateCrossProductsV
EvaluateDegenerateProducts
EvaluateDirectionalDerivatives
EvaluateExteriorDerivatives
EvaluateFormIntegrals
EvaluateInnerContractors
EvaluationTime
EvenComplementaryGradeQ
EvenGradeQ
EvenRawGradeQ
EvenSoulQ
ExpandAndCollect
ExpandAndEvaluateDirectionalDerivatives
ExpandAndSimplifyCliffordProducts
ExpandAndSimplifyExteriorProducts
ExpandAndSimplifyForm
ExpandAndSimplifyGeneralizedProducts
ExpandAndSimplifyGrassmannComplements
ExpandAndSimplifyHypercomplexProducts
ExpandAndSimplifyInteriorProducts
ExpandAndSimplifyRegressiveProducts
ExpandAndSimplifyScalars
ExpandAndSimplifyVectorSpaceComplements
ExpandCliffordProducts
ExpandContractors
ExpandCrossProducts
ExpandDirectionalDerivatives
ExpandExteriorDerivatives
ExpandExteriorProducts
ExpandForm
ExpandGeneralizedProducts
ExpandGrassmannComplements
ExpandHypercomplexProducts
ExpandInteriorProducts
ExpandMultigradedSymbols
ExpandOnce
ExpandRegressiveProducts
ExpandScalars
ExpandVectorSpaceComplements
ExteriorBreakout
ExteriorDerivative
ExteriorFactorize
ExteriorLinearTransform
ExteriorProduct
ExteriorProductQ
ExteriorQuotient
ExteriorToInterior
ExteriorToRegressive
ExteriorToSymmetrizedArray
ExtractArguments
ExtractBasisElements
ExtractBasisSymbols
ExtractCoefficients
ExtractComplements
ExtractFactorScalar
ExtractGradedSymbols
ExtractGrassmannEquation
ExtractGrassmannSymbols
ExtractLinearCombinations
ExtractMultiples
ExtractNonGrassmannSymbols
ExtractProducts
ExtractScalarSymbols
ExtractSpecialScalars
ExtractSums
ExtractSymbols
ExtractSymbolsXS
ExtractVectorSymbols
FDt
FactorOrigin
FactorizeForm
FastConvertComplements
FastExpand
FastExteriorExpand
FastExteriorFactorize
FastExteriorFactorizeSFA
FastZeroQ
FivePointedStarSigma
FloatPalette
FluxionToDerivatives
FormBasis
FormIntegral
FormSymbolQ
FormToOrthonormal
FormToVector
FormatTotalDerivative
FreeBasis
FunctionSymbolQ
GCAddReference
GCButtonReference
GCCirclePoint
GCCompress
GCDisplayReferences
GCEditReference
GCEvaluateBelowButton
GCIconize
GCLabeledFrame
GCMapLevelParts
GCMapLevelPatterns
GCOpenHelpLink
GCOpenerReference
GCPushOnto
GCSaveReferences
GCTooltipReference
GCWindowPresentation
GCpagelet
GCpaneWidth
GCpanelpage
GCphrase
GCphrase2
GeneralProductFormula
GeneralProductFormulaB
GeneralizedProduct
GeneralizedProductOrder
GeneralizedProductQ
GenerateCoordinateEquations
Grade
GradeBasis
GradeClassify
GradeCobasis
GradeComplement
GradeDimension
GradeDistributeCliffordProducts
GradeDistributeExteriorProducts
GradeDistributeGeneralizedProducts
GradeDistributeHypercomplexProducts
GradeDistributeInteriorProducts
GradeDistributeRegressiveProducts
GradeMetric
GradeOfZero
GradeQ
GradedExpand
GradedExpandAndSimplify
GradedScalars
GradedSymbolQ
GradedSymbols
GradedToSubscriptedScalar
GradedToSubscriptedVector
GradedVectors
GrassmannAtomQ
GrassmannBases
GrassmannBasisElementQ
GrassmannBreakout
GrassmannBundle
GrassmannBundleSection
GrassmannCobases
GrassmannCollect
GrassmannComplement
GrassmannComplementQ
GrassmannComplements
GrassmannConjugate
GrassmannCoordinateQ
GrassmannCoordinates
GrassmannCoreDialogInput
GrassmannCurl
GrassmannDimensions
GrassmannDiv
GrassmannEquationRank
GrassmannExpand
GrassmannExpandAndSimplify
GrassmannExpressionQ
GrassmannExtract
GrassmannGrad
GrassmannKeyList
GrassmannLaplacian
GrassmannLinearSolve
GrassmannMaterialDerivative
GrassmannMetrics
GrassmannNormalize
GrassmannParameters
GrassmannProductQ
GrassmannRule
GrassmannRulePalette
GrassmannSimplify
GrassmannSymbolQ
GrassmannSymbols
GrassmannSymbolsPalette
GrassmannVectorLaplacian
HidePrecedence
HypercomplexProduct
HypercomplexProductQ
HypercomplexSign
InnerContractorQ
InnerProductQ
InsertPosition
IntegralBreakout
IntegralConstantsRules
IntegralOperateRules
IntegralOptionsRules
IntegralSubstitution
IntegralSumRules
IntegrationByParts
InteriorCommonFactorTheorem
InteriorProduct
InteriorProductQ
InteriorToExterior
InteriorToRegressive
JacobianOfMapping
LeftContractor
LeibnizDirectionalDerivatives
LieDerivative
LightGrade
LightInnerProductQ
LineElementFormQ
LinearEquations
MPlaneElementFormQ
MVectorFormQ
MakeDotDisplay
MakeSFAExpressionsIcon
MakeSFAGradeIcon
MathematicaSolveGrassmannEquation
Measure
Metric
MetricDeterminant
MetricMatrix
MetricPalette
MetricSymbolQ
MetricSymbols
MultigradedQ
MultigradedSymbolQ
NOrbitFunction
NestedInteriorToExterior
NewtonianGravitationalDynamics
NiceLinearEquation
NotGraded
NotMultigradedQ
NotScalarQ
OddComplementaryGradeQ
OddGradeQ
OddRawGradeQ
OrderBasis
OrderExterior
OrderExteriorOnOneElements
OrderGeneralized
OrderInner
OrderRegressive
Origin
OrthogonalSimplify
OrthonormalBasis
OrthonormalToForm
OrthonormalToVector
OverGrade
PermanentGrassmannPalette
PermuteExteriorFactors
PivotExteriorProduct
PivotGrassmannLinearEquation
PivotProduct
PlaneElementFormQ
PointBasisQ
PointFormQ
PowerSignCollect
PowerSignSimplify
PowerSimplify
PreferencesDialogInput
PublicGrassmannAtlas
PullbackForms
PureOneFormQ
PureOneVectorQ
RandomGrassmannBoundElement
RandomCanonicalMVector
RandomGrassmannMatrix
RandomGrassmannPoint
RandomGrassmannVector
RandomGrassmannVectorElement
RandomOrthonormalMatrix
RandomSpecialLinearMatrix
RawCobasisElement
RawComplementSign
RawGrade
RawGradeBasis
RawGradeClassify
RawGradeCobasis
RawGradeDistributeCliffordProducts
RawGradeDistributeGeneralizedProducts
RawGradeDistributeHypercomplexProducts
RawGradeQ
RawGradedExpand
RawGradedExpandAndSimplify
RawMultigradedQ
RawSimpleProductQ
RawTermGrade
RegressiveProduct
RegressiveProductQ
RegressiveToExterior
RegressiveToInterior
RegressiveUnitRules
RestorePreferences
ReverseAll
RightContractor
RuleData
RuleNumber
SFA
IconExtract
SFAGradeBasisPermute
SFAInsertGradeBasisElement
SFAKeysPalette
ScalarAtomQ
ScalarAtoms
ScalarExpressionQ
ScalarParameter
ScalarQ
ScalarSymbolQ
ScalarSymbols
ScaleExteriorElementValue
ScaleExteriorFactor
ScaleGrassmannLinearEquation
ScaleProductElementValue
ScaleProductFactor
ScrewElementFormQ
SearchRuleData
SearchRules
SetActiveSpacePreferences
SetBookBoundVectorSpace
SetBookVectorAssociation
SetBookVectorSpace
SetCoordinateVectorSpace
SetCoordinateBoundVectorSpace
ShowPrecedence
SimpleBivectorFormQ
SimpleMVectorFormQ
SimpleProductQ
SimpleQ
SimplifyCliffordProducts
SimplifyExteriorProducts
SimplifyGeneralizedProducts
SimplifyGrassmannComplements
SimplifyHypercomplexProducts
SimplifyInteriorProducts
SimplifyOnce
SimplifyPowerSigns
SimplifyRegressiveProducts
SimplifyScalars
SimplifySigns
SimplifyVectorSpaceComplements
SolveGrassmannCoordinateForm
SortToStandardOrdering
Soul
SoulQ
SpanSign1
SpanSign2
SpecialGS
SpecialScalarQ
SpecialScalars
StandardOrderingFunction
SwapExteriorFactors
SwitchBasis
SymbolicFactoringAssociation
SymmetrizedArrayToExterior
TargetExteriorElementValue
TargetProductElementValue
TermGrade
ToAngleForm
ToCanonicalFactoredForm
ToCanonicalVector
ToCommonFactor
ToCommonFactorA
ToCommonFactorB
ToExteriorProducts
ToGCoordinates
ToGeneralizedProducts
ToGrassmannComplements
ToGrassmannCoordinateForm
ToGrassmannEquationForm
ToGrassmannEquationMatrixForm
ToInnerProducts
ToInteriorForm
ToInteriorProducts
ToInteriorProductsB
ToListCoordinates
ToMetricElements
ToPointForm
ToReducedVector
ToReducedFactoredForm
ToRegressiveProducts
ToScalarContractors
ToScalarProducts
ToVectorSpaceComplements
ToWeightedPointForm
TransferScalar
Transform
TransformRepeated
TrigonometricSubstitution
UnderGrade
UnderOverGrade
UngradableTerm
UnigradedSymbolQ
UnpackIcon
UnpackNewtonianDynamics
UnsortedComplement
UserFormSymbols
UserScalarSymbols
UserVectorSymbols
ValidGradeQ
ValidMultigradeQ
ValidRawGradeQ
ValidRawGradedSymbolQ
VectorAtomQ
VectorAtoms
VectorBasis
VectorFormQ
VectorOperator
VectorSpaceComplement
VectorSpaceComplementQ
VectorSpaceComplements
VectorSymbolQ
VectorSymbols
VectorToForm
VectorToOrthonormal
ViewAllPreferences
WeightedPointFormQ
ZeroGrassmannEquationElement
ZeroQ
annotate

Calculus

Differentiation and integration routines.

Derivatives

ExteriorDerivative

▪

VectorOperator

▪

JacobianOfMapping

▪

DirectionalDerivative

▪

▪

Vector Calculus

▪

▪

▪

▪

GrassmannVectorLaplacian

▪

GrassmannMaterialDerivative

▪

▪

▪

▪

▪

Cross Product

▪

▪

EvaluateCrossProducts

▪

EvaluateCrossProductsV

Integrals

FormIntegral

— wrapper for the integral of a form over a domain

EvaluateFormIntegrals

— evaluation of integrals with Mathematica routines

PullbackForms

▪

BasisPushforward

▪

Integrate

Coordinate Equations

GenerateCoordinateEquations

— Linear coordinate equations for multiplanes

NiceLinearEquation

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