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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 |