correlation x y
Signature: x:float [] -> y:float [] -> float
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dct rxs
Signature: rxs:float [] -> float []
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Descrete cosine transform.
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draw gen d
Signature: gen:MT19937 -> d:Distribution -> float
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e
Signature: float<MeasureOne>
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natural logarithm base
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fft xs
Signature: xs:Complex [] -> Complex []
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Fast Fourier transform.
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histogram_ n xmin xmax xs
Signature: n:int -> xmin:float -> xmax:float -> xs:seq<float> -> int []
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idct rxs
Signature: rxs:float [] -> float []
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Inverse discrete cosine transform.
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ifft xs
Signature: xs:Complex [] -> Complex []
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Inverse Fast Fourier Transform.
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improbable
Signature: float<MeasureOne>
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The smallest positive normalized float value
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kde n0 xs
Signature: n0:int -> xs:seq<float> -> float [] * float []
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Gaussian kernel density estimator for one-dimensional data, using
the method of Botev et al.
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kde2 n0 min max sample
Signature: n0:int -> min:float -> max:float -> sample:seq<float> -> float [] * float []
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Gaussian kernel density estimator for one-dimensional data, using
the method of Botev et al.
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log_improbable
Signature: float<MeasureOne>
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Logarithm of improbable
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log_pdf d v
Signature: d:Distribution -> v:float -> float<MeasureOne>
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Logarithm of a Probability Distribution Function
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log_tolerance
Signature: float<MeasureOne>
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Logarithm of tolerance
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log2pi
Signature: float<MeasureOne>
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1/2 * log 2π
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logistic x
Signature: x:float<MeasureOne> -> float<MeasureOne>
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Sigmoidal function that maps [-infinity,infinity] interval onto [0,1]
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logit p
Signature: p:float<MeasureOne> -> float
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Inverse logistic transform
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maxint
Signature: float<MeasureOne>
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Maximum exact integer maxint+1.0 = maxint && maxint-1.0 < maxint
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pi
Signature: float<MeasureOne>
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π
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pi2
Signature: float<MeasureOne>
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2π
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qsummary data
Signature: data:seq<float> -> qsummaryType
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Produces quantile summary of the data.
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ridders tolerance (lb, ub) f
Signature: tolerance:float -> (lb:float * ub:float) -> f:(float -> float) -> float option
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Root of a function using Ridders method.
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sqrt2pi
Signature: float<MeasureOne>
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sqrt 2π
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summary data
Signature: data:seq<float> -> summaryType
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Produces cumulant summary of the data using fast one-pass algorithm.
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tolerance
Signature: float<MeasureOne>
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1.0 - tolerance < 1.0 && 1.0 - 0.5*tolerance = 1.0
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within ulps a b
Signature: ulps:uint32 -> a:float -> b:float -> bool
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Approximate comparison of two double values.
Tolerance ulps is in units of least precision.
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