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Basic Functions
UltimaCalc's Algebra module recognises the following basic functions. Note that the automatic simplifier may
decide to replace a function with another, or with a constant. For example, cos(0) will be
converted to 1. A full list of functions will be found in the alphabetical list.
Trignonometric
sin, cos, tan, sec, csc,
cosec, cot. All but the first two of these functions
are converted to their equivalents defined in terms of sin and cos.
Inverse Trignonometric
asin, acos, atan, acosec,
acot, acsc, arccos, arcsin,
arctan, asec.
Hyperbolic
sinh, cosh, tanh, cosech,
csch, sech, coth. All but the first two of
these functions are converted to their equivalents defined in terms of sinh and
cosh.
Inverse Hyperbolic
acosech, acosh, acoth, arccosh,
arcsinh, arctanh, asech, asinh,
atanh.
Exponential and Logarithmic
exp, ln, log. The last two are
synonymous. Note that log(1) is automatically simplified to 0.
Miscellaneous
abs returns the absolute value of its argument. For example, the
expression abs(-3) produces 3 and abs(-2*x) produces 2*abs(x).
This function also operates on complex numbers.
sqrt returns the square root of its argument. This is equivalent to raising the
argument to the power (1/2). For example, the expression sqrt(64) produces 8 and sqrt(63) produces 3*7^(1/2).
Also, sqrt(-16) produces i*4 if complex numbers are enabled,
or (-16)^(1/2) if not.
Alphabetic listing
Other functions not mentioned here will be found in the full alphabetical list.