hara.math.base — hara/math 3.0.12

abs clj

(abs x)

returns the absolute value of x

(abs -7) => 7 (abs 7) => 7

combinatorial clj

(combinatorial n i)

calculates the result of n choose i

(combinatorial 4 2) => 6

(combinatorial 4 3) => 4

factorial clj

(factorial n)

calculates the factorial of n

(factorial 4) => 24

(factorial 10) => 3628800

histogram clj

(histogram xs)

(histogram xs n)

creates a histogram of values

(histogram [1 2 3 3 5 5 7 7 8 8 9] 4) => [4 2 2 3]

kurtosis clj

(kurtosis xs)

(kurtosis xs stddev)

calculates the kurtosis of the data

(kurtosis [4 5 2 9 5 7 4 5 4]) => (approx 2.4722)

log clj

(log b x)

calculates the logarithm base b of x

(log 2 2) => 1.0

(log 4 16) => 2.0

log10 clj

(log10 x)

calculates the log base 10 of x

(log10 2) => 0.3010299956639812

(log10 10) => 1.0

loge clj

(loge x)

calculates the natural log of x

(loge 2) => 0.6931471805599453

(loge 10) => 2.302585092994046

mean clj

(mean xs)

calculates the average value of a set of data

(mean [1 2 3 4 5]) => 3

(mean [1 1.6 7.4 10]) => 5.0

median clj

(median xs)

calculates the middle value of a set of data

(median [5 2 4 1 3]) => 3

(median [7 0 2 3]) => 5/2

mode clj

(mode xs)

calculates the most frequent value of a set of data

(mode [:alan :bob :alan :greg]) => [:alan]

(mode [:smith :carpenter :doe :smith :doe]) => [:smith :doe]

percentile clj

(percentile xs ratio)

calculates the value within the population given a ratio

(percentile [1 9 9 9 9] 0.5) => 9

quantile clj

(quantile xs n)

splits the total population into equal quantiles

(quantile [1 2 4 4 4 4 8 9] 4) => [3.5 4.0 5.0]

skew clj

(skew xs)

(skew xs stddev)

calculates the skewedness of the data

(skew [4 5 2 9 5 7 4 5 4]) => (approx 0.5833)

sqrt clj

(sqrt x)

calculates the square root of a number

(sqrt 25) => 5.0

square clj

(square x)

calculates the square of a number

(square 5) => 25

stddev clj

(stddev xs)

calculates the standard deviation for a set of data

(stddev [4 5 2 9 5 7 4 5 4]) => 2.0

variance clj

(variance xs)

calculates the average of the squared differences from the mean

(variance [4 5 2 9 5 7 4 5 4]) => 4