1.5. Standard mathematical constants and functions

Name	Function	Examplary expressions and commands
		In (input command)	Out (resulting output)
!	Factorial	5!	120
Pi  or  π	The number π	π N[%,8]	π 3.1415927
E  or е	The number e	e//N	2.71828
True	Logical constant ‘True’	True && False	False
False	Logical constant  ‘False’	!False	True
I  or  i	Imaginary unit	p=	-10 + 198 I
Re[ z ]	Real part of a complex number z		-10
Im[ z ]	Imaginary part of z		198
Degree	Measure for angles	30Degree//N
Abs[ x ]	Absolute value	Abs[-45]
Sqrt[ x ]	Square root	Sqrt[1024.]	32
Exp[ x ]	Exponential function	Exp[]	0.731616
Log[x]	Natural logarithm	Log[1.]	0
Log[b,x]	Logarithm to base b of x	Log[3, 9]	2
Sin[x ]	Sine x	Sin[]
Cos[x]	Cosine x	Cos[]
Tan[x]	Tangent x	Tan[]	1
Cot[x]	Cotangent x	Cot[30Degree]
ArcSin[ x ]	Arcus Sine of x	ArcSin[ Cos[] ]
ArcCos[ x ]		ArcCos[ Tan[2.] ]
ArcTan[ x ]	Arcus tangent x
ArcCot[ x ]	Arcus cotangent   x	ArcCot[ 1 ]
Round[x]	Closest integer to x	Round[2.6]    Round[ -2.6]	3   -3
Mod[n, m]		Mod[ 27, 4]	3
Random[ ]	Pseudorandom number in the interval [0,1)	Random[ ] Random[ ]	0.08779   0.648845