Smart Math Calculator Math Expressions

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This page explains valid math operators, variables, constants and functions that can be used in Smart Math Calculator.

The easiest way to see a list of supported functions and operators is by clicking on the "Keypad" tab as shown below.

Operators

Operator	Description	Example
+	Addition	x+2
-	Subtraction	x-2
*	Multiplication	x*2
/	Division	x/2
^	Power	x^2
>	More than	x>5
>=	More than or equal to	x>=5
<	Less than	x<-5
<=	Less than or equal to	x<=-5
=	Equal to	5=x
<>	Not equal to	5<>x
and	And condition	x<5 and x>-5
or	Or condition	x=5 or x=6

Equation Variables

Graph Mode	Operator	Shortcut
Cartesian	x	Ctrl+1
	y	Ctrl+2
	z	Ctrl+3
Parametric	u	Ctrl+1
	v	Ctrl+2
Polar	θ	Ctrl+1
	r	Ctrl+2
Cylindrical	θ	Ctrl+1
	z	Ctrl+2
	r	Ctrl+3
Spherical	θ	Ctrl+1
	φ	Ctrl+2
	r	Ctrl+3

Constants

Constant	Value
Mn	1.6749286e-27
u0	1.2566370614359e-6
e0	8.8541878176204e-12
h	6.6260775e-34
c	299792458
u	1.6605402e-27
ec	1.60217733e-19

Functions

Function	Description	Examples
sin	Sine: sin(v), where v is the value of angle in radians.	sin(3.14), sin(x)
cos	Cosine: cos(v), where v is the value of angle in radians.	cos(3.14), cos(x)
tan	Tangent: tan(v), where v is the value of angle in radians.	tan(3.14), tan(x)
sinh	Hyperbolic Sine: sinh(v), where v is the value of hyperbolic angle in radians.	sinh(3.14), sinh(x)
cosh	Hyperbolic Cosine: cosh(v), where v is the value of hyperbolic angle in radians.	cosh(3.14), cosh(x)
tanh	Hyperbolic Tangent: tanh(v), where v is the value of hyperbolic angle in radians.	tanh(3.14), tanh(x)
asin	Arcsine: asin(v), where v is a value in [-1,+1] range.	asin(-0.5), asin(x)
acos	Arcsine: acos(v), where v is a value in [-1,+1] range.	acos(-0.5), acos(x)
atan	Arctangent: atan(v), where v is a value in [-1,+1] range.	atan(-0.5), atan(x)
atan2	Arctangent: atan2(v1,v2) is same as atan(v1/v2) but it returns the correct angle for -Pi to +Pi range.	atan2(2,-3), atan2(x,-2)
fraction	fraction(v) returns only the fraction part of the decimal value v.	fraction(110.025) -> returns 0.025
rand	rand() returns a random number in the [0.0,1.0] range.	rand() -> may return 0.12512615
round	round(v) returns closes integer to decimal value v.	round(5.623) -> returns 6.0
int	int(v) returns only the integer part of the decimal value v.	int(5.623) -> returns 5.0
min	min(v1,v2) returns the smallest of values v1 and v2.	min(5,8), min(x, 10)
max	max(v1,v2) returns the largest of values v1 and v2.	min(5,8), min(x, 10)
log	log(v) returns the logarithm base 10 of value v.	log(125.2), log(x)
ln	ln(v) returns the logarithm base e of value v.	ln(125.2), ln(x)
sqrt	sqrt(v) returns the root base 2 of value v.	sqrt(4.5), root(x)
rootn	rootn(n,v) returns the root base n of value v.	rootn(3,-8), rootn(3,x)
exp	exp(v) returns the value of e raised to power of v.	exp(4.5), exp(x)
abs	abs(v) returns the absolute value of v.	abs(-4.5), abs(x)
ceil	ceil(v) returns the rounded up integer of decimal value v.	ceil(5.01) -> returns 6.0
floor	floor(v) returns the rounded down integer of decimal value v.	floor(5.99) -> returns 5.0