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9D. Transcendental Functions
m0 =: (^1)&^ | Exponential ^ |
m1 =: (^1)&^. | Natural log ^. |
m2 =: antilog=: 10&^ | Ten-to-the-power (Base-10 Antilog) |
m3 =: log=:10&^. | Base-10 log |
m4 =: sin=: 1&o. | Sin |
m5 =: cos=: 2&o. | Cos |
m6 =: tan=: 3&o. | Tan |
m7 =: sinh=: 5&o. | Sinh |
m8 =: cosh=: 6&o. | Cosh |
m9 =: tanh=: 7&o. | Tanh |
m10=: ^ .:-&.j. | Sin as odd part of exponential |
m11=: ^@j. ..- | Cos as even part |
m12=: ^ .:- | Sinh as odd part |
m13=: ^ ..- | Cosh as even part |
m14=: sin -: sinh&.j. | Tautology |
m15=: cos -: cosh& j. | " |
m16=: tan -: tanh&.j. | " |
m17=: sinh -: sin&.j. | " |
m18=: tan -: tanh&.j. | " |
m19=: tanh -: tan&.j. | " |
d20=: * -: +&.^. | " |
d21=: * -: +&.(10&^.) | " |
v22=: % -: -&.^. | " |
d23=: + -: *&.^ | " |
d24=: + -: *&.(10&^) | " |
v25=: - -: %&.^ | " |
m26=: gamma=: !@<: | Gamma function of y |
d27=: beta=: *&m26 % m26@+ | Beta function of x and y |