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Formula Syntax:

< formula > := <number> |<variable> |<operation> |<function>; |(<formula>) |
<differential formula>
< equation > := <formula>=<formula>
< differential equation > := <equation>
 
< operation > := <unary operation> |<binary operation> |
< unary operation > := -<formula> 
< binary operation > := <formula><binary operator><formula>
< binary operator > := + |- |* |/ |^
 
< differential formula > := <formula>' |d(<formula>) |∂(<formula>) |
 
< function > := <functor>(<arguments>)
< arguments > := <formula> |<formula>,<arguments>
< functor > := See list of available functions bellow
 
< number > := <unsigned number> |-<unsigned number>
< unsigned number > := <digits> | <digits>.<digits> | <special number>
< digits > := <digit> | <digit><digits>
< digit > := 0 | 1 |2 |3 |4 |5 |6 |7 |8 |9
< special number > := pi | e
 
< variable > := <letter> | <letter><alphanumerics>
< alphanumerics > := <alphanumeric> | <alphanumeric><alphanumerics>
< alphanumeric > := <letter> | <digit>
< letter > := a | ... | z | A | ... | Z

Available Functions:

Name	Description	# of arguments
Trigonometric
*sin*	sine function of an angle	1
*cos*	cosine function of an angle	1
*tan*	tangent function of an angle	1
*cot*	cotangent function of an angle	1
*sec*	secant function of an angle	1
*csc*	cosecant function of an angle	1
Inverse Trigonometric
*arcsin*	inverse of sine function	1
*arccos*	inverse of cosine function	1
*arctan*	inverse of tangent function	1
*arccot*	inverse of cotangent function	1
*arcsec*	inverse of secant function	1
*arccsc*	inverse of cosecant function	1
Logaritmic
ln	natural logarithm to the base e	1
*log10*	logarithm to the base 10	2
*log*	logarithm, with 1^st argument as a base, of the 2^nd argument	2
Power and Root
*sqrt*	square root	1
*root*	first argument root of the second argument	2
Miscellaneous
*abs*	absolute value	1
*sgn*	sign or signum function	1

Please Note: Multiplication must be explicitely specified with the "" operator as "ax" and not as "a x". Function arguments must be enclosed within parenthesis "( ... )", like "sin( x )" and not like "sin x". There can't be a space between the functor and the open parenthesis for the arguments. Character sequences pi and e are treated as special numbers and not as variables. Equations, including differential must be specified as proper equations with "=" character. If you need to use an indexed variable, like *x_i* (for example x₁, x₂,...) , please use the the index numbers as suffixes to the variable names, like x1, x2, ... Variable names are case sensitive! x and X are interpreted as two different variables.

Examples:

You must write:	Interpreted as:

tan(x)	tan(x) = sin(x)cos(x)
log(a,b)	log_a(b)
ln(e^x)	ln ( e ^x ) = x
abs(-2)	\| -2 \| = 2
cos(pi/3)	cos(π3) = 12
root(x, y)	^x √ y
y'=2xy	y' = 2xy

< formula >	:=	<number> \|<variable> \|<operation> \|<function>; \|(<formula>) \|
		<differential formula>
< equation >	:=	<formula>=<formula>
< differential equation >	:=	<equation>

< operation >	:=	<unary operation> \|<binary operation> \|
< unary operation >	:=	-<formula>
< binary operation >	:=	<formula><binary operator><formula>
< binary operator >	:=	+ \|- \|* \|/ \|^

< differential formula >	:=	<formula>' \|d(<formula>) \|∂(<formula>) \|

< function >	:=	<functor>(<arguments>)
< arguments >	:=	<formula> \|<formula>,<arguments>
< functor >	:=	See list of available functions bellow

< number >	:=	<unsigned number> \|-<unsigned number>
< unsigned number >	:=	<digits> \| <digits>.<digits> \| <special number>
< digits >	:=	<digit> \| <digit><digits>
< digit >	:=	0 \| 1 \|2 \|3 \|4 \|5 \|6 \|7 \|8 \|9
< special number >	:=	pi \| e

< variable >	:=	<letter> \| <letter><alphanumerics>
< alphanumerics >	:=	<alphanumeric> \| <alphanumeric><alphanumerics>
< alphanumeric >	:=	<letter> \| <digit>
< letter >	:=	a \| ... \| z \| A \| ... \| Z