.TH MATH-ELEM 2.SH NAMEMath: cbrt, sqrt, pow, pow10, hypot, exp, expm1, log, log10, log1p, cos, cosh, sin, sinh, tan, tanh, acos, asin, acosh, asinh, atan, atanh, atan2, lgamma, erf, erfc, j0, j1, y0, y1, jn, yn \- elementary functions of applied mathematics.SH SYNOPSIS.EXinclude "math.m";math := load Math Math->PATH; cbrt, sqrt: fn(x: real): real;pow: fn(x, y: real): real;pow10: fn(p: int): real;hypot: fn(x, y: real): real;exp, expm1, log, log10, log1p: fn(x: real): real; cos, cosh, sin, sinh, tan, tanh: fn(x: real): real;acos, asin, acosh, asinh, atan, atanh: fn(x: real): real;atan2: fn(y, x: real) of real; lgamma: fn(x: real): (int,real);erf, erfc: fn(x: real): real;j0, j1, y0, y1: fn(x: real): real;jn, yn: fn(n: int, x: real): real; .EE.SH DESCRIPTIONThese routines implement the basic elementary functions of applied mathematics..PP.BI Sqrt( x )computes the square root of.IR x ,.BI cbrt( x )the cube root..BI Pow( x , y )computes.I xraised to the exponent.IR y ;.B pow10raises 10 to the integer power.IR n ..BI Hypot( x , y )computes\f5sqrt(\f2x\f5*\f2x\f5+\f2y\f5*\f2y\f5)\f1..PP.BI Exp( x )returns the exponential function of.IR x ,and.BI expm1( x )is.BI exp( x )-1..PP.BI Log( x )returns the natural logarithm of.IR x ,while.BI log10( x )returns the logarithm base 10 and.BI log1p( x )returns the logarithm of.BI 1+ x\f1..PPThe trigonometric functions use radians.The ranges of the inverse functions are:.BI acosin [0,\(*p];.B asinin [-\(*p/2,\(*p/2];.B atanin [-\(*p/2,\(*p/2];and.BI atan2( y , x ).B =.BI arctan( y / x )in [-\(*p,\(*p];.PPThe gamma function is implemented by.BI lgamma( x )\f1;the tuple it returns, say.BI ( s , lg )\f1,encodes the gamma function by.RI \(*G( x )=.IB s *exp( lg )\f1..PPThe hyperbolic trigonometric functions.B sinhetc. behave as expected..B Erfis the error function and.BI erfc( x )is.BI 1-erf( x )\f1..PPThe Bessel functions are computed by.BI j0 ,.BI j1 ,.BI jn ,.BI y0 ,.BI y1 ,and.BR yn ..SH SOURCE.B /libinterp/math.c.SH SEE ALSO.IR math-intro (2)