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Testing Martin's statistics code

fricas

)abbrev package STAT StatisticalFunctions
StatisticalFunctions(F:Field): Exports == Implementation where

    Exports == with
      mean: List F -> F

      stddev: List F -> F

      if F has OrderedRing then
        median: List F -> F

    Implementation == add

      mean l == 
        n := #l::F
        if n = 0 then error "The mean of an empty list is not defined"
        reduce(_+, l)/n

      stddev l ==
        n := #l::F
        if n = 0 then error "The standard deviation of an empty list is not _
                             defined"

        m := mean l
        reduce(_+, map((#1-m)^2, l)$ListFunctions2(F,F))/(n-1)

      if F has OrderedRing then
        median l == 
          n := #l
          if n = 0 then error "The median of an empty list is not defined"
          sort(l).(n quo 2)

fricas

Compiling FriCAS source code from file 
      /var/lib/zope2.10/instance/axiom-wiki/var/LatexWiki/7576195002424551243-25px.001.spad
      using old system compiler.
   STAT abbreviates package StatisticalFunctions 
------------------------------------------------------------------------
   initializing NRLIB STAT for StatisticalFunctions 
   compiling into NRLIB STAT 
   compiling exported mean : List F -> F
Time: 0.03 SEC.

   compiling exported stddev : List F -> F
Time: 0.01 SEC.

****** Domain: F already in scope
augmenting F: (OrderedRing)
   compiling exported median : List F -> F
Time: 0.01 SEC.

****** Domain: F already in scope
augmenting F: (OrderedRing)
(time taken in buildFunctor:  0)

;;;     ***       |StatisticalFunctions| REDEFINED

;;;     ***       |StatisticalFunctions| REDEFINED
Time: 0 SEC.

   Cumulative Statistics for Constructor StatisticalFunctions
      Time: 0.05 seconds

   finalizing NRLIB STAT 
   Processing StatisticalFunctions for Browser database:
--->-->StatisticalFunctions(constructor): Not documented!!!!
--->-->StatisticalFunctions((mean (F (List F)))): Not documented!!!!
--->-->StatisticalFunctions((stddev (F (List F)))): Not documented!!!!
--->-->StatisticalFunctions((median (F (List F)))): Not documented!!!!
--->-->StatisticalFunctions(): Missing Description
; compiling file "/var/aw/var/LatexWiki/STAT.NRLIB/STAT.lsp" (written 04 APR 2022 05:34:57 PM):

; /var/aw/var/LatexWiki/STAT.NRLIB/STAT.fasl written
; compilation finished in 0:00:00.025
------------------------------------------------------------------------
   StatisticalFunctions is now explicitly exposed in frame initial 
   StatisticalFunctions will be automatically loaded when needed from 
      /var/aw/var/LatexWiki/STAT.NRLIB/STAT

fricas

mean [1,2,3]

$\label{eq1}2$

(1)

Type: Fraction(Integer)

is it possible to change the package --unknown, Tue, 26 Jul 2005 05:15:09 -0500 reply

fricas

median (["a","g","u","a","d"])

$\label{eq2}median_{\verb#"a"# , \: \verb#"g"# , \: \verb#"u"# , \: \verb#"a"# , \: \verb#"d"#}$

(2)

Type: Symbol

Subject: Be Bold !!

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