cifl-math-library-1.1.1.0: Math libraries
Safe HaskellTrustworthy
LanguageHaskell2010

Math.Number.TypeUnits

Synopsis

Documentation

data DDimension Source #

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type Double :#: ('[] :: [DDimension]) Source # 
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type a :/: ('[] :: [DDimension]) Source # 
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type a :/: ('[] :: [DDimension]) = a
type Double :#: '[a] Source # 
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type Double :#: '[a] = DUnit a
type d :#: (a ': (b ': cr)) Source # 
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type d :#: (a ': (b ': cr)) = d :#: (DimensionPlus a b ': cr)
type a :/: (b ': (c ': cr)) Source # 
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type a :/: (b ': (c ': cr)) = a :/: (DimensionPlus b c ': cr)
type (DUnit a) :/: '[b] Source # 
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type (DUnit a) :/: '[b] = DUnit (DimensionMinus a b)

type family DimensionPower (a :: DDimension) (n :: Nat) :: DDimension Source #

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type DimensionPower a 0 Source # 
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type DimensionPower a 1 Source # 
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type DimensionPower a 1 = a
type DimensionPower a 2 Source # 
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type DimensionPower a 3 Source # 
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type DimensionPower a 4 Source # 
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type DimensionPower a 5 Source # 
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type DimensionPower a 6 Source # 
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type DimensionPower a 7 Source # 
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type family DimensionNegativePower (a :: DDimension) (n :: Nat) :: DDimension Source #

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type DimensionNegativePower a n Source # 
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type family DimensionInverse (a :: DDimension) :: DDimension Source #

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type DimensionInverse a Source # 
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type family DimensionPlus (a :: DDimension) (b :: DDimension) :: DDimension Source #

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type DimensionPlus ('DDimension a1 a2 a3 a4 a5 a6 a7 a8) ('DDimension b1 b2 b3 b4 b5 b6 b7 b8) Source # 
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Defined in Math.Number.TypeUnits

type DimensionPlus ('DDimension a1 a2 a3 a4 a5 a6 a7 a8) ('DDimension b1 b2 b3 b4 b5 b6 b7 b8) = 'DDimension (SPlus a1 b1) (SPlus a2 b2) (SPlus a3 b3) (SPlus a4 b4) (SPlus a5 b5) (SPlus a6 b6) (SPlus a7 b7) (SPlus a8 b8)

type family DimensionMinus (a :: DDimension) (b :: DDimension) :: DDimension Source #

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type DimensionMinus ('DDimension a1 a2 a3 a4 a5 a6 a7 a8) ('DDimension b1 b2 b3 b4 b5 b6 b7 b8) Source # 
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Defined in Math.Number.TypeUnits

type DimensionMinus ('DDimension a1 a2 a3 a4 a5 a6 a7 a8) ('DDimension b1 b2 b3 b4 b5 b6 b7 b8) = 'DDimension (SMinus a1 b1) (SMinus a2 b2) (SMinus a3 b3) (SMinus a4 b4) (SMinus a5 b5) (SMinus a6 b6) (SMinus a7 b7) (SMinus a8 b8)

type family a :#: (dim :: [DDimension]) Source #

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type Double :#: ('[] :: [DDimension]) Source # 
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type Double :#: '[a] Source # 
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type Double :#: '[a] = DUnit a
type d :#: (a ': (b ': cr)) Source # 
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Defined in Math.Number.TypeUnits

type d :#: (a ': (b ': cr)) = d :#: (DimensionPlus a b ': cr)

type family a :/: (dim :: [DDimension]) Source #

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Instances details
type a :/: ('[] :: [DDimension]) Source # 
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Defined in Math.Number.TypeUnits

type a :/: ('[] :: [DDimension]) = a
type a :/: (b ': (c ': cr)) Source # 
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type a :/: (b ': (c ': cr)) = a :/: (DimensionPlus b c ': cr)
type (DUnit a) :/: '[b] Source # 
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type (DUnit a) :/: '[b] = DUnit (DimensionMinus a b)

type family (a :: [k]) :++ (b :: [k]) :: [k] Source #

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type ('[] :: [k]) :++ (b :: [k]) Source # 
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type ('[] :: [k]) :++ (b :: [k]) = b
type (a ': ar :: [k]) :++ (b :: [k]) Source # 
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type (a ': ar :: [k]) :++ (b :: [k]) = a ': (ar :++ b)

data family DUnit (u :: DDimension) Source #

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Data (DUnit DDimensionless) Source # 
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Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> DUnit DDimensionless -> c (DUnit DDimensionless) #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (DUnit DDimensionless) #

toConstr :: DUnit DDimensionless -> Constr #

dataTypeOf :: DUnit DDimensionless -> DataType #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (DUnit DDimensionless)) #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (DUnit DDimensionless)) #

gmapT :: (forall b. Data b => b -> b) -> DUnit DDimensionless -> DUnit DDimensionless #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> DUnit DDimensionless -> r #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> DUnit DDimensionless -> r #

gmapQ :: (forall d. Data d => d -> u) -> DUnit DDimensionless -> [u] #

gmapQi :: Int -> (forall d. Data d => d -> u) -> DUnit DDimensionless -> u #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> DUnit DDimensionless -> m (DUnit DDimensionless) #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> DUnit DDimensionless -> m (DUnit DDimensionless) #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> DUnit DDimensionless -> m (DUnit DDimensionless) #

Generic (DUnit DDimensionless) Source # 
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Associated Types

type Rep (DUnit DDimensionless) :: Type -> Type #

Read (DUnit DAbsorbedDose) Source # 
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Read (DUnit DAcceleration) Source # 
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Read (DUnit DAngle) Source # 
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Read (DUnit DCapacitance) Source # 
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Read (DUnit DCatalyticActivity) Source # 
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Read (DUnit DCharge) Source # 
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Read (DUnit DConductance) Source # 
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Read (DUnit DCubicLength) Source # 
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Read (DUnit DCurrent) Source # 
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Read (DUnit DDimensionless) Source # 
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Read (DUnit DEnergy) Source # 
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Read (DUnit DFlux) Source # 
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Read (DUnit DFluxDensity) Source # 
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Read (DUnit DForce) Source # 
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Read (DUnit DFrequency) Source # 
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Read (DUnit DIlluminance) Source # 
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Read (DUnit DInductance) Source # 
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Read (DUnit DLength) Source # 
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Read (DUnit DLuminosity) Source # 
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Read (DUnit DMass) Source # 
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Read (DUnit DPower) Source # 
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Read (DUnit DPressure) Source # 
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Read (DUnit DRadioactivity) Source # 
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Read (DUnit DResistance) Source # 
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Read (DUnit DSolidAngle) Source # 
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Read (DUnit DSquareLength) Source # 
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Read (DUnit DSubstance) Source # 
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Read (DUnit DTemperature) Source # 
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Read (DUnit DTime) Source # 
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Read (DUnit DTorque) Source # 
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Read (DUnit DVelocity) Source # 
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Read (DUnit DVoltage) Source # 
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Show (DUnit DAbsorbedDose) Source # 
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Show (DUnit DAcceleration) Source # 
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Show (DUnit DAngle) Source # 
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Show (DUnit DCapacitance) Source # 
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Show (DUnit DCatalyticActivity) Source # 
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Show (DUnit DCharge) Source # 
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Show (DUnit DConductance) Source # 
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Show (DUnit DCubicLength) Source # 
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Show (DUnit DCurrent) Source # 
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Show (DUnit DDimensionless) Source # 
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Show (DUnit DEnergy) Source # 
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Show (DUnit DFlux) Source # 
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Show (DUnit DFluxDensity) Source # 
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Show (DUnit DForce) Source # 
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Show (DUnit DFrequency) Source # 
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Show (DUnit DIlluminance) Source # 
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Show (DUnit DInductance) Source # 
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Show (DUnit DLength) Source # 
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Show (DUnit DLuminosity) Source # 
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Show (DUnit DMass) Source # 
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Show (DUnit DPower) Source # 
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Show (DUnit DPressure) Source # 
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Show (DUnit DRadioactivity) Source # 
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Show (DUnit DResistance) Source # 
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Show (DUnit DSolidAngle) Source # 
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Show (DUnit DSquareLength) Source # 
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Show (DUnit DSubstance) Source # 
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Show (DUnit DTemperature) Source # 
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Show (DUnit DTime) Source # 
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Show (DUnit DTorque) Source # 
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Show (DUnit DVelocity) Source # 
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Show (DUnit DVoltage) Source # 
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VectorSpace (DUnit DAbsorbedDose) Source # 
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type Scalar (DUnit DAbsorbedDose) Source #

VectorSpace (DUnit DAcceleration) Source # 
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type Scalar (DUnit DAcceleration) Source #

VectorSpace (DUnit DAngle) Source # 
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type Scalar (DUnit DAngle) Source #

VectorSpace (DUnit DCapacitance) Source # 
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type Scalar (DUnit DCapacitance) Source #

VectorSpace (DUnit DCatalyticActivity) Source # 
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type Scalar (DUnit DCatalyticActivity) Source #

VectorSpace (DUnit DCharge) Source # 
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Defined in Math.Number.TypeUnits

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type Scalar (DUnit DCharge) Source #

VectorSpace (DUnit DConductance) Source # 
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type Scalar (DUnit DConductance) Source #

VectorSpace (DUnit DCubicLength) Source # 
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type Scalar (DUnit DCubicLength) Source #

VectorSpace (DUnit DCurrent) Source # 
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Defined in Math.Number.TypeUnits

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type Scalar (DUnit DCurrent) Source #

VectorSpace (DUnit DDimensionless) Source # 
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Defined in Math.Number.TypeUnits

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type Scalar (DUnit DDimensionless) Source #

VectorSpace (DUnit DEnergy) Source # 
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Defined in Math.Number.TypeUnits

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type Scalar (DUnit DEnergy) Source #

VectorSpace (DUnit DFlux) Source # 
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type Scalar (DUnit DFlux) Source #

VectorSpace (DUnit DFluxDensity) Source # 
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Defined in Math.Number.TypeUnits

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type Scalar (DUnit DFluxDensity) Source #

VectorSpace (DUnit DForce) Source # 
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Defined in Math.Number.TypeUnits

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type Scalar (DUnit DForce) Source #

VectorSpace (DUnit DFrequency) Source # 
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Defined in Math.Number.TypeUnits

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type Scalar (DUnit DFrequency) Source #

VectorSpace (DUnit DIlluminance) Source # 
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Defined in Math.Number.TypeUnits

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type Scalar (DUnit DIlluminance) Source #

VectorSpace (DUnit DInductance) Source # 
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Defined in Math.Number.TypeUnits

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type Scalar (DUnit DInductance) Source #

VectorSpace (DUnit DLength) Source # 
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type Scalar (DUnit DLength) Source #

VectorSpace (DUnit DLuminosity) Source # 
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Defined in Math.Number.TypeUnits

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type Scalar (DUnit DLuminosity) Source #

VectorSpace (DUnit DMass) Source # 
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Defined in Math.Number.TypeUnits

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type Scalar (DUnit DMass) Source #

VectorSpace (DUnit DPower) Source # 
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Defined in Math.Number.TypeUnits

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type Scalar (DUnit DPower) Source #

VectorSpace (DUnit DPressure) Source # 
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Defined in Math.Number.TypeUnits

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type Scalar (DUnit DPressure) Source #

VectorSpace (DUnit DRadioactivity) Source # 
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Defined in Math.Number.TypeUnits

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type Scalar (DUnit DRadioactivity) Source #

VectorSpace (DUnit DResistance) Source # 
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type Scalar (DUnit DResistance) Source #

VectorSpace (DUnit DSolidAngle) Source # 
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Defined in Math.Number.TypeUnits

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type Scalar (DUnit DSolidAngle) Source #

VectorSpace (DUnit DSquareLength) Source # 
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Defined in Math.Number.TypeUnits

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type Scalar (DUnit DSquareLength) Source #

VectorSpace (DUnit DSubstance) Source # 
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Defined in Math.Number.TypeUnits

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type Scalar (DUnit DSubstance) Source #

VectorSpace (DUnit DTemperature) Source # 
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type Scalar (DUnit DTemperature) Source #

VectorSpace (DUnit DTime) Source # 
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Defined in Math.Number.TypeUnits

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type Scalar (DUnit DTime) Source #

VectorSpace (DUnit DTorque) Source # 
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Defined in Math.Number.TypeUnits

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type Scalar (DUnit DTorque) Source #

VectorSpace (DUnit DVelocity) Source # 
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type Scalar (DUnit DVelocity) Source #

VectorSpace (DUnit DVoltage) Source # 
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type Scalar (DUnit DVoltage) Source #

LiteralUnit (DUnit DAbsorbedDose) Source # 
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LiteralUnit (DUnit DAcceleration) Source # 
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LiteralUnit (DUnit DCapacitance) Source # 
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LiteralUnit (DUnit DCatalyticActivity) Source # 
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LiteralUnit (DUnit DCharge) Source # 
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LiteralUnit (DUnit DCubicLength) Source # 
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LiteralUnit (DUnit DCurrent) Source # 
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LiteralUnit (DUnit DFlux) Source # 
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LiteralUnit (DUnit DFluxDensity) Source # 
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LiteralUnit (DUnit DForce) Source # 
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LiteralUnit (DUnit DFrequency) Source # 
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LiteralUnit (DUnit DIlluminance) Source # 
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LiteralUnit (DUnit DInductance) Source # 
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LiteralUnit (DUnit DLength) Source # 
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LiteralUnit (DUnit DMass) Source # 
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LiteralUnit (DUnit DPower) Source # 
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LiteralUnit (DUnit DPressure) Source # 
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LiteralUnit (DUnit DRadioactivity) Source # 
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LiteralUnit (DUnit DResistance) Source # 
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LiteralUnit (DUnit DSquareLength) Source # 
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LiteralUnit (DUnit DSubstance) Source # 
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LiteralUnit (DUnit DTime) Source # 
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LiteralUnit (DUnit DVelocity) Source # 
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LiteralUnit (DUnit DVoltage) Source # 
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Unit (DUnit DAbsorbedDose) Source # 
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Defined in Math.Number.TypeUnits

Unit (DUnit DAcceleration) Source # 
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Defined in Math.Number.TypeUnits

Unit (DUnit DCapacitance) Source # 
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Defined in Math.Number.TypeUnits

Unit (DUnit DCatalyticActivity) Source # 
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Defined in Math.Number.TypeUnits

Unit (DUnit DCharge) Source # 
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Defined in Math.Number.TypeUnits

Unit (DUnit DCubicLength) Source # 
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Defined in Math.Number.TypeUnits

Unit (DUnit DCurrent) Source # 
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Unit (DUnit DFlux) Source # 
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Unit (DUnit DFluxDensity) Source # 
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Defined in Math.Number.TypeUnits

Unit (DUnit DForce) Source # 
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Unit (DUnit DFrequency) Source # 
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Unit (DUnit DIlluminance) Source # 
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Unit (DUnit DInductance) Source # 
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Unit (DUnit DLength) Source # 
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Unit (DUnit DMass) Source # 
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Unit (DUnit DPower) Source # 
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Unit (DUnit DPressure) Source # 
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Defined in Math.Number.TypeUnits

Unit (DUnit DRadioactivity) Source # 
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Defined in Math.Number.TypeUnits

Unit (DUnit DResistance) Source # 
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Defined in Math.Number.TypeUnits

Unit (DUnit DSquareLength) Source # 
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Defined in Math.Number.TypeUnits

Unit (DUnit DSubstance) Source # 
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Defined in Math.Number.TypeUnits

Unit (DUnit DTime) Source # 
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Defined in Math.Number.TypeUnits

Unit (DUnit DVelocity) Source # 
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Unit (DUnit DVoltage) Source # 
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Eq (DUnit DAbsorbedDose) Source # 
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Eq (DUnit DAcceleration) Source # 
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Defined in Math.Number.TypeUnits

Eq (DUnit DAngle) Source # 
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Defined in Math.Number.TypeUnits

Eq (DUnit DCapacitance) Source # 
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Defined in Math.Number.TypeUnits

Eq (DUnit DCatalyticActivity) Source # 
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Eq (DUnit DCharge) Source # 
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Defined in Math.Number.TypeUnits

Eq (DUnit DConductance) Source # 
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Defined in Math.Number.TypeUnits

Eq (DUnit DCubicLength) Source # 
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Defined in Math.Number.TypeUnits

Eq (DUnit DCurrent) Source # 
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Eq (DUnit DDimensionless) Source # 
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Eq (DUnit DEnergy) Source # 
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Defined in Math.Number.TypeUnits

Eq (DUnit DFlux) Source # 
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Defined in Math.Number.TypeUnits

Eq (DUnit DFluxDensity) Source # 
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Defined in Math.Number.TypeUnits

Eq (DUnit DForce) Source # 
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Defined in Math.Number.TypeUnits

Eq (DUnit DFrequency) Source # 
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Defined in Math.Number.TypeUnits

Eq (DUnit DIlluminance) Source # 
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Defined in Math.Number.TypeUnits

Eq (DUnit DInductance) Source # 
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Defined in Math.Number.TypeUnits

Eq (DUnit DLength) Source # 
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Defined in Math.Number.TypeUnits

Eq (DUnit DLuminosity) Source # 
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Defined in Math.Number.TypeUnits

Eq (DUnit DMass) Source # 
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Defined in Math.Number.TypeUnits

Eq (DUnit DPower) Source # 
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Defined in Math.Number.TypeUnits

Eq (DUnit DPressure) Source # 
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Defined in Math.Number.TypeUnits

Eq (DUnit DRadioactivity) Source # 
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Defined in Math.Number.TypeUnits

Eq (DUnit DResistance) Source # 
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Defined in Math.Number.TypeUnits

Eq (DUnit DSolidAngle) Source # 
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Defined in Math.Number.TypeUnits

Eq (DUnit DSquareLength) Source # 
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Defined in Math.Number.TypeUnits

Eq (DUnit DSubstance) Source # 
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Defined in Math.Number.TypeUnits

Eq (DUnit DTemperature) Source # 
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Defined in Math.Number.TypeUnits

Eq (DUnit DTime) Source # 
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Defined in Math.Number.TypeUnits

Eq (DUnit DTorque) Source # 
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Defined in Math.Number.TypeUnits

Eq (DUnit DVelocity) Source # 
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Eq (DUnit DVoltage) Source # 
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newtype DUnit DAbsorbedDose Source # 
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newtype DUnit DAcceleration Source # 
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data DUnit DAngle Source # 
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Defined in Math.Number.TypeUnits

newtype DUnit DCapacitance Source # 
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newtype DUnit DCatalyticActivity Source # 
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newtype DUnit DCharge Source # 
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data DUnit DConductance Source # 
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newtype DUnit DCubicLength Source # 
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newtype DUnit DCurrent Source # 
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data DUnit DDimensionless Source #

DDimensionlessZero is needed to avoid type error in vzero.

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Defined in Math.Number.TypeUnits

data DUnit DEnergy Source # 
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Defined in Math.Number.TypeUnits

newtype DUnit DFlux Source # 
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Defined in Math.Number.TypeUnits

newtype DUnit DFlux = DFlux Flux
newtype DUnit DFluxDensity Source # 
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Defined in Math.Number.TypeUnits

newtype DUnit DForce Source # 
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Defined in Math.Number.TypeUnits

newtype DUnit DFrequency Source # 
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Defined in Math.Number.TypeUnits

newtype DUnit DIlluminance Source # 
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Defined in Math.Number.TypeUnits

newtype DUnit DInductance Source # 
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Defined in Math.Number.TypeUnits

newtype DUnit DLength Source # 
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Defined in Math.Number.TypeUnits

data DUnit DLuminosity Source # 
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Defined in Math.Number.TypeUnits

newtype DUnit DMass Source # 
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Defined in Math.Number.TypeUnits

newtype DUnit DMass = DMass Mass
newtype DUnit DPower Source # 
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Defined in Math.Number.TypeUnits

newtype DUnit DPressure Source # 
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Defined in Math.Number.TypeUnits

newtype DUnit DRadioactivity Source # 
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Defined in Math.Number.TypeUnits

newtype DUnit DResistance Source # 
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Defined in Math.Number.TypeUnits

newtype DUnit DSolidAngle Source # 
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Defined in Math.Number.TypeUnits

newtype DUnit DSquareLength Source # 
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Defined in Math.Number.TypeUnits

newtype DUnit DSubstance Source # 
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Defined in Math.Number.TypeUnits

data DUnit DTemperature Source # 
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Defined in Math.Number.TypeUnits

newtype DUnit DTime Source # 
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Defined in Math.Number.TypeUnits

newtype DUnit DTime = DTime Time
data DUnit DTorque Source # 
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Defined in Math.Number.TypeUnits

newtype DUnit DVelocity Source # 
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Defined in Math.Number.TypeUnits

newtype DUnit DVoltage Source # 
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Defined in Math.Number.TypeUnits

type Rep (DUnit DDimensionless) Source # 
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Defined in Math.Number.TypeUnits

type Scalar (DUnit DAbsorbedDose) Source # 
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Defined in Math.Number.TypeUnits

type Scalar (DUnit DAcceleration) Source # 
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Defined in Math.Number.TypeUnits

type Scalar (DUnit DAngle) Source # 
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type Scalar (DUnit DCapacitance) Source # 
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Defined in Math.Number.TypeUnits

type Scalar (DUnit DCatalyticActivity) Source # 
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Defined in Math.Number.TypeUnits

type Scalar (DUnit DCharge) Source # 
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Defined in Math.Number.TypeUnits

type Scalar (DUnit DConductance) Source # 
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Defined in Math.Number.TypeUnits

type Scalar (DUnit DCubicLength) Source # 
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Defined in Math.Number.TypeUnits

type Scalar (DUnit DCurrent) Source # 
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Defined in Math.Number.TypeUnits

type Scalar (DUnit DDimensionless) Source # 
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Defined in Math.Number.TypeUnits

type Scalar (DUnit DEnergy) Source # 
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Defined in Math.Number.TypeUnits

type Scalar (DUnit DFlux) Source # 
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Defined in Math.Number.TypeUnits

type Scalar (DUnit DFluxDensity) Source # 
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Defined in Math.Number.TypeUnits

type Scalar (DUnit DForce) Source # 
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Defined in Math.Number.TypeUnits

type Scalar (DUnit DFrequency) Source # 
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Defined in Math.Number.TypeUnits

type Scalar (DUnit DIlluminance) Source # 
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Defined in Math.Number.TypeUnits

type Scalar (DUnit DInductance) Source # 
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Defined in Math.Number.TypeUnits

type Scalar (DUnit DLength) Source # 
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Defined in Math.Number.TypeUnits

type Scalar (DUnit DLuminosity) Source # 
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Defined in Math.Number.TypeUnits

type Scalar (DUnit DMass) Source # 
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Defined in Math.Number.TypeUnits

type Scalar (DUnit DPower) Source # 
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Defined in Math.Number.TypeUnits

type Scalar (DUnit DPressure) Source # 
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Defined in Math.Number.TypeUnits

type Scalar (DUnit DRadioactivity) Source # 
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Defined in Math.Number.TypeUnits

type Scalar (DUnit DResistance) Source # 
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Defined in Math.Number.TypeUnits

type Scalar (DUnit DSolidAngle) Source # 
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Defined in Math.Number.TypeUnits

type Scalar (DUnit DSquareLength) Source # 
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Defined in Math.Number.TypeUnits

type Scalar (DUnit DSubstance) Source # 
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Defined in Math.Number.TypeUnits

type Scalar (DUnit DTemperature) Source # 
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Defined in Math.Number.TypeUnits

type Scalar (DUnit DTime) Source # 
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Defined in Math.Number.TypeUnits

type Scalar (DUnit DTorque) Source # 
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Defined in Math.Number.TypeUnits

type Scalar (DUnit DVelocity) Source # 
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Defined in Math.Number.TypeUnits

type Scalar (DUnit DVoltage) Source # 
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Defined in Math.Number.TypeUnits

type (DUnit a) :/: '[b] Source # 
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Defined in Math.Number.TypeUnits

type (DUnit a) :/: '[b] = DUnit (DimensionMinus a b)