ElementaryFunction(R, F)

elemntry.spad line 1 [edit on github]

• R: Join(Comparable, IntegralDomain)

• F: Join(FunctionSpace R, RadicalCategory)

Provides elementary functions over an integral domain.

acos: F -> F

acos(x) applies the inverse cosine operator to x

acosh: F -> F

acosh(x) applies the inverse hyperbolic cosine operator to x

acot: F -> F

acot(x) applies the inverse cotangent operator to x

acoth: F -> F

acoth(x) applies the inverse hyperbolic cotangent operator to x

acsc: F -> F

acsc(x) applies the inverse cosecant operator to x

acsch: F -> F

acsch(x) applies the inverse hyperbolic cosecant operator to x

asec: F -> F

asec(x) applies the inverse secant operator to x

asech: F -> F

asech(x) applies the inverse hyperbolic secant operator to x

asin: F -> F

asin(x) applies the inverse sine operator to x

asinh: F -> F

asinh(x) applies the inverse hyperbolic sine operator to x

atan: F -> F

atan(x) applies the inverse tangent operator to x

atanh: F -> F

atanh(x) applies the inverse hyperbolic tangent operator to x

belong?: BasicOperator -> Boolean

belong?(p) returns true if operator p is elementary

cos: F -> F

cos(x) applies the cosine operator to x

cosh: F -> F

cosh(x) applies the hyperbolic cosine operator to x

cot: F -> F

cot(x) applies the cotangent operator to x

coth: F -> F

coth(x) applies the hyperbolic cotangent operator to x

csc: F -> F

csc(x) applies the cosecant operator to x

csch: F -> F

csch(x) applies the hyperbolic cosecant operator to x

exp: F -> F

exp(x) applies the exponential operator to x

iiacos: F -> F

iiacos(x) should be local but conditional

iiacosh: F -> F

iiacosh(x) should be local but conditional

iiacot: F -> F

iiacot(x) should be local but conditional

iiacoth: F -> F

iiacoth(x) should be local but conditional

iiacsc: F -> F

iiacsc(x) should be local but conditional

iiacsch: F -> F

iiacsch(x) should be local but conditional

iiasec: F -> F

iiasec(x) should be local but conditional

iiasech: F -> F

iiasech(x) should be local but conditional

iiasin: F -> F

iiasin(x) should be local but conditional

iiasinh: F -> F

iiasinh(x) should be local but conditional

iiatan: F -> F

iiatan(x) should be local but conditional

iiatanh: F -> F

iiatanh(x) should be local but conditional

iicos: F -> F

iicos(x) should be local but conditional

iicosh: F -> F

iicosh(x) should be local but conditional

iicot: F -> F

iicot(x) should be local but conditional

iicoth: F -> F

iicoth(x) should be local but conditional

iicsc: F -> F

iicsc(x) should be local but conditional

iicsch: F -> F

iicsch(x) should be local but conditional

iiexp: F -> F

iiexp(x) should be local but conditional

iilog: F -> F

iilog(x) should be local but conditional

iisec: F -> F

iisec(x) should be local but conditional

iisech: F -> F

iisech(x) should be local but conditional

iisin: F -> F

iisin(x) should be local but conditional

iisinh: F -> F

iisinh(x) should be local but conditional

iisqrt2: () -> F

iisqrt2() should be local but conditional

iisqrt3: () -> F

iisqrt3() should be local but conditional

iitan: F -> F

iitan(x) should be local but conditional

iitanh: F -> F

iitanh(x) should be local but conditional

localReal?: F -> Boolean

localReal?(x) should be local but conditional

log: F -> F

log(x) applies the logarithm operator to x

operator: BasicOperator -> BasicOperator

operator(p) returns an elementary operator with the same symbol as p

pi: () -> F

pi() returns the pi operator

sec: F -> F

sec(x) applies the secant operator to x

sech: F -> F

sech(x) applies the hyperbolic secant operator to x

sin: F -> F

sin(x) applies the sine operator to x

sinh: F -> F

sinh(x) applies the hyperbolic sine operator to x

specialTrigs: (F, List Record(func: F, pole: Boolean)) -> Union(F, failed)

specialTrigs(x, l) should be local but conditional

tan: F -> F

tan(x) applies the tangent operator to x

tanh: F -> F

tanh(x) applies the hyperbolic tangent operator to x