>>  <<  Usr  Pri  JfC  LJ  Phr  Dic  Rel  Voc  !:  Help  Phrases

# 10C. Math & Stats

 m0=: median=: <.@-:@# { /:~ Median of y m1=: tc=: (+. +./ .*.~)^:_ Transitive closure of connection matrix y c2=: ^: Apply function x y times c3=: ^: Conditional application of x if y is 0 or 1 m4=: gamma=: !@<: Gamma function of y d5=: beta=: *&m4 % m4@+ Beta function of x and y d6=: pd=: ^@-@] * ^~ % !@[ Poisson distribution of states x with average number y d7=: outof=: ! # of combs of y objects taken x at a time d8=: ppr=: +//.@(*/) Product of polynomials x and y m9=: -<./"1 Move rows of table y into first quadrant m10=: npb=: p:^:_1 Number of primes before y m11=: pto=: p:@i.@npb List of primes to y d12=: dpr=: [: 0 2 1 3&|: */ Direct matrix product of x and y d13=: shurp=: (0 2;3 1)&|:@(*/) Shur product of x and y d14=: shurs=: (0 2;3 1)&|:@(+/) Shur sum of x and y m15=: <./ .+~ Extend distance table to next leg d16=: +./ .*. Extend a transitive binary relation d17=: +/ .* % #@] Mean of x weighted by y d18=: -/ .% Alternating sum of reciprocal series x%y d19=: +/ .% Sum of reciprocal series x%y d20=: +/ .* Matrix product d21=: +/ .* Sum over subsets of x located by y m22=: +/ .*~ Sum of squares of y d23=: +/ .* Scalar (dot) product of vectors x and y d24=: */ .^ Product over subsets of x located by y m25=: +/@:*: Sum of squares of y m26=: det=: -/ .* Determinant m27=: (+/@(*:@(] - +/ % #)) % #)"1 Sample variance (dispersion) of y m28=: %:@m27"1 Standard deviation of y d29=: (+/@((]-+/@]%#@])^[)%#@])"1 x-th moment of y m30=: m31"1 Mean of rows of table y m31=: +/%# Mean of list y or columns of table y

>>  <<  Usr  Pri  JfC  LJ  Phr  Dic  Rel  Voc  !:  Help  Phrases