JPhrases/MathStats

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