岁寒输入法数学计算功能的介绍

岁寒输入法引入了数学计算功能，有了岁寒输入法，你就可以卸载手机里的计算器了！

使用方法

在任意的输入框内都可以使用该功能；

1. 数字键盘的等于键下滑：输入法会输出一个“=”符，并附带公式的计算结果；
2. 数字键盘的等于键左滑：输入法会删除掉公式的内容，然后输出公式的计算结果；

取公式的方法

输入法会将当前光标所在行的头部到当前光标之间的字符串视作公式的内容，并尝试求解该公式的计算结果，根据用户的操作方式将结果输出。如果程序无法求解公式的结果，输入法会输出“NaN”或“无解”。

使用示例

1. 求加减乘除等常规运算：

2. 求自然数的正弦函数值等的运算（e为自然数，pi为圆周率）：

3. 求数列和的计算：

注意信息

岁寒输入法的数学功能是基于MathParser.org-mXparser项目实现的（目前使用项目的版本是4.2.2），更多高端的操作请参考下述的格式表或者前往mXparser项目查阅。
目前岁寒输入法仅支持基本的公式运算，不支持变量表达式的运算。

格式表

由于内容较多，我仅对操作符部分进行了完全汉化，请根据自己的需要查阅相应的操作。

操作符

关键字	使用范围	描述	示例
+	操作符	加法	a + b
-	操作符	减法	a - b
*	操作符	乘法	a * b
/	操作符	除法	a / b
^	操作符	幂运算	a^b
!	操作符	阶乘	n!
#	操作符	求余	a # b
%	操作符	百分比运算	n%

数字格式

关键字	使用范围	描述	示例
Number	Decimal Number	Decimal number	1, 1.5, -2.3
Number	Decimal Number	Decimal number - scientific notation	1.2e10, -2.4e-10, 2.3E+10
Number	Binary Number	Binary number - number literal	b.10101, B.10101, b2.10010
Number	Octal Number	Octal number - number literal	o.1027, O.1027, b8.1027
Number	Hexadecimal Number	Hexadecimal number - number literal	h.12fE, H.12fE, b16.12fE
Number	Unary Number	Unary number - number literal	b1.111 , B1.111
Number	Base 1-36	Base 1-36 number - number literal	bN.xxxx , BN.xxxx

Boolean Operators

关键字	使用范围	描述	示例
&	Boolean Operator	Logical conjunction (AND)	p & q
&&	Boolean Operator	Logical conjunction (AND)	p && q
/\	Boolean Operator	Logical conjunction (AND)	p /\ q
~&	Boolean Operator	NAND - Sheffer stroke	p ~& q
~&&	Boolean Operator	NAND - Sheffer stroke	p ~&& q
~/\	Boolean Operator	NAND - Sheffer stroke	p ~/\ q
|	Boolean Operator	Logical disjunction (OR)	p | q
||	Boolean Operator	Logical disjunction (OR)	p || q
\/	Boolean Operator	Logical disjunction (OR)	p \/ q
~|	Boolean Operator	Logical NOR	p ~| q
~||	Boolean Operator	Logical NOR	p ~|| q
~\/	Boolean Operator	Logical NOR	p ~\/ q
(+)	Boolean Operator	Exclusive or (XOR)	p (+) q
-->	Boolean Operator	Implication (IMP)	p --> q
<--	Boolean Operator	Converse implication (CIMP)	p <-- q
-/>	Boolean Operator	Material nonimplication (NIMP)	p -/> q
</-	Boolean Operator	Converse nonimplication (CNIMP)	p </- q
<->	Boolean Operator	Logical biconditional (EQV)	p <-> q
~	Boolean Operator	Negation	~p

Bitwise Operators

关键字	使用范围	描述	示例
@~	Bitwise Operator	Bitwise unary complement	@~10
@&	Bitwise Operator	Bitwise AND	10 @& 2
@^	Bitwise Operator	Bitwise exclusive OR	10 @^ 2
@|	Bitwise Operator	Bitwise inclusive OR	10 @| 2
@<<	Bitwise Operator	Signed left shift	10 @<< 2
@>>	Bitwise Operator	Signed right shift	10 @>> 2

Binary Relations

关键字	使用范围	描述	示例
=	Binary Relation	Equality	a = b
==	Binary Relation	Equality	a == b
<>	Binary Relation	Inequation	a <> b
~=	Binary Relation	Inequation	a ~= b
!=	Binary Relation	Inequation	a != b
<	Binary Relation	Lower than	a < b
>	Binary Relation	Greater than	a > b
<=	Binary Relation	Lower or equal	a <= b
>=	Binary Relation	Greater or equal	a >= b

Unary Functions

关键字	使用范围	描述	示例
sin	Unary Function	Trigonometric sine function	sin(x)
cos	Unary Function	Trigonometric cosine function	cos(x)
tg	Unary Function	Trigonometric tangent function	tg(x)
tan	Unary Function	Trigonometric tangent function	tan(x)
ctg	Unary Function	Trigonometric cotangent function	ctg(x)
cot	Unary Function	Trigonometric cotangent function	cot(x)
ctan	Unary Function	Trigonometric cotangent function	ctan(x)
sec	Unary Function	Trigonometric secant function	sec(x)
csc	Unary Function	Trigonometric cosecant function	csc(x)
cosec	Unary Function	Trigonometric cosecant function	cosec(x)
asin	Unary Function	Inverse trigonometric sine function	asin(x)
arsin	Unary Function	Inverse trigonometric sine function	arsin(x)
arcsin	Unary Function	Inverse trigonometric sine function	arcsin(x)
acos	Unary Function	Inverse trigonometric cosine function	acos(x)
arcos	Unary Function	Inverse trigonometric cosine function	arcos(x)
arccos	Unary Function	Inverse trigonometric cosine function	arccos(x)
atg	Unary Function	Inverse trigonometric tangent function	atg(x)
atan	Unary Function	Inverse trigonometric tangent function	atan(x)
arctg	Unary Function	Inverse trigonometric tangent function	arctg(x)
arctan	Unary Function	Inverse trigonometric tangent function	arctan(x)
actg	Unary Function	Inverse trigonometric cotangent function	actg(x)
acot	Unary Function	Inverse trigonometric cotangent function	acot(x)
actan	Unary Function	Inverse trigonometric cotangent function	actan(x)
arcctg	Unary Function	Inverse trigonometric cotangent function	arcctg(x)
arccot	Unary Function	Inverse trigonometric cotangent function	arccot(x)
arcctan	Unary Function	Inverse trigonometric cotangent function	arcctan(x)
ln	Unary Function	Natural logarithm function (base e)	ln(x)
log2	Unary Function	Binary logarithm function (base 2)	log2(x)
log10	Unary Function	Common logarithm function (base 10)	log10(x)
rad	Unary Function	Degrees to radians function	rad(x)
exp	Unary Function	Exponential function	exp(x)
sqrt	Unary Function	Squre root function	sqrt(x)
sinh	Unary Function	Hyperbolic sine function	sinh(x)
cosh	Unary Function	Hyperbolic cosine function	cosh(x)
tgh	Unary Function	Hyperbolic tangent function	tgh(x)
tanh	Unary Function	Hyperbolic tangent function	tanh(x)
coth	Unary Function	Hyperbolic cotangent function	coth(x)
ctgh	Unary Function	Hyperbolic cotangent function	ctgh(x)
ctanh	Unary Function	Hyperbolic cotangent function	ctanh(x)
sech	Unary Function	Hyperbolic secant function	sech(x)
csch	Unary Function	Hyperbolic cosecant function	csch(x)
cosech	Unary Function	Hyperbolic cosecant function	cosech(x)
deg	Unary Function	Radians to degrees function	deg(x)
abs	Unary Function	Absolut value function	abs(x)
sgn	Unary Function	Signum function	sgn(x)
floor	Unary Function	Floor function	floor(x)
ceil	Unary Function	Ceiling function	ceil(x)
not	Unary Function	Negation function	not(x)
asinh	Unary Function	Inverse hyperbolic sine function	asinh(x)
arsinh	Unary Function	Inverse hyperbolic sine function	arsinh(x)
arcsinh	Unary Function	Inverse hyperbolic sine function	arcsinh(x)
acosh	Unary Function	Inverse hyperbolic cosine function	acosh(x)
arcosh	Unary Function	Inverse hyperbolic cosine function	arcosh(x)
arccosh	Unary Function	Inverse hyperbolic cosine function	arccosh(x)
atgh	Unary Function	Inverse hyperbolic tangent function	atgh(x)
atanh	Unary Function	Inverse hyperbolic tangent function	atanh(x)
arctgh	Unary Function	Inverse hyperbolic tangent function	arctgh(x)
arctanh	Unary Function	Inverse hyperbolic tangent function	arctanh(x)
acoth	Unary Function	Inverse hyperbolic cotangent function	acoth(x)
actgh	Unary Function	Inverse hyperbolic cotangent function	actgh(x)
actanh	Unary Function	Inverse hyperbolic cotangent function	actanh(x)
arcoth	Unary Function	Inverse hyperbolic cotangent function	arcoth(x)
arccoth	Unary Function	Inverse hyperbolic cotangent function	arccoth(x)
arcctgh	Unary Function	Inverse hyperbolic cotangent function	arcctgh(x)
arcctanh	Unary Function	Inverse hyperbolic cotangent function	arcctanh(x)
asech	Unary Function	Inverse hyperbolic secant function	asech(x)
arsech	Unary Function	Inverse hyperbolic secant function	arsech(x)
arcsech	Unary Function	Inverse hyperbolic secant function	arcsech(x)
acsch	Unary Function	Inverse hyperbolic cosecant function	acsch(x)
arcsch	Unary Function	Inverse hyperbolic cosecant function	arcsch(x)
arccsch	Unary Function	Inverse hyperbolic cosecant function	arccsch(x)
acosech	Unary Function	Inverse hyperbolic cosecant function	acosech(x)
arcosech	Unary Function	Inverse hyperbolic cosecant function	arcosech(x)
Sa	Unary Function	Sinc function (normalized)	Sa(x)
sinc	Unary Function	Sinc function (normalized)	sinc(x)
Sinc	Unary Function	Sinc function (unnormalized)	Sinc(x)
Bell	Unary Function	Bell number	Bell(n)
Luc	Unary Function	Lucas number	Luc(n)
Fib	Unary Function	Fibonacci number	Fib(n)
harm	Unary Function	Harmonic number	harm(n)
ispr	Unary Function	Prime number test (is number a prime?)	ispr(n)
Pi	Unary Function	Prime-counting function - Pi(x)	Pi(n)
Ei	Unary Function	Exponential integral function (non-elementary special function) - usage example: Ei(x)	Ei(x)
li	Unary Function	Logarithmic integral function (non-elementary special function) - usage example: li(x)	li(x)
Li	Unary Function	Offset logarithmic integral function (non-elementary special function) - usage example: Li(x)	Li(x)
erf	Unary Function	Gauss error function (non-elementary special function) - usage example: 2 + erf(x)	erf(x)
erfc	Unary Function	Gauss complementary error function (non-elementary special function) - usage example: 1 - erfc(x)	erfc(x)
erfInv	Unary Function	Inverse Gauss error function (non-elementary special function) - usage example: erfInv(x)	erfInv(x)
erfcInv	Unary Function	Inverse Gauss complementary error function (non-elementary special function) - usage example: erfcInv(x)	erfcInv(x)
ulp	Unary Function	Unit in The Last Place - ulp(0.1)	ulp(x)
isNaN	Unary Function	Returns true = 1 if value is a Not-a-Number (NaN), false = 0 otherwise - usage example: isNaN(x)	isNaN(x)
ndig10	Unary Function	Number of digits in numeral system with base 10	ndig10(x)
nfact	Unary Function	Prime decomposition - number of distinct prime factors	nfact(x)
arcsec	Unary Function	Inverse trigonometric secant	arcsec(x)

Binary Functions

关键字	使用范围	描述	示例
log	Binary Function	Logarithm function	log(a, b)
mod	Binary Function	Modulo function	mod(a, b)
C	Binary Function	Binomial coefficient function	C(n, k)
Bern	Binary Function	Bernoulli numbers	Bern(m, n)
Stirl1	Binary Function	Stirling numbers of the first kind	Stirl1(n, k)
Stirl2	Binary Function	Stirling numbers of the second kind	Stirl2(n, k)
Worp	Binary Function	Worpitzky number	Worp(n, k)
Euler	Binary Function	Euler number	Euler(n, k)
KDelta	Binary Function	Kronecker delta	KDelta(i, j)
EulerPol	Binary Function	EulerPol	EulerPol
Harm	Binary Function	Harmonic number	Harm(x, n)
rUni	Binary Function	Random variable - Uniform continuous distribution U(a,b), usage example: 2*rUni(2,10)	rUni(a, b)
rUnid	Binary Function	Random variable - Uniform discrete distribution U{a,b}, usage example: 2*rUnid(2,100)	rUnid(a, b)
round	Binary Function	Half-up rounding, usage examples: round(2.2, 0) = 2, round(2.6, 0) = 3, round(2.66,1) = 2.7	round(x, n)
rNor	Binary Function	Random variable - Normal distribution N(m,s) m - mean, s - stddev, usage example: 3*rNor(0,1)	rNor(mean, stdv)
ndig	Binary Function	Number of digits representing the number in numeral system with given base	ndig(number, base)
dig10	Binary Function	Digit at position 1 ... n (left -> right) or 0 ... -(n-1) (right -> left) - base 10 numeral system	dig10(num, pos)
factval	Binary Function	Prime decomposition - factor value at position between 1 ... nfact(n) - ascending order by factor value	factval(number, factorid)
factexp	Binary Function	Prime decomposition - factor exponent / multiplicity at position between 1 ... nfact(n) - ascending order by factor value	factexp(number, factorid)
root	Binary Function	N-th order root of a number	root(rootorder, number)

3-args Functions

关键字	使用范围	描述	示例
if	3-args Function	If function	if( cond, expr-if-true, expr-if-false )
chi	3-args Function	Characteristic function for x in (a,b)	chi(x, a, b)
CHi	3-args Function	Characteristic function for x in [a,b]	CHi(x, a, b)
Chi	3-args Function	Characteristic function for x in [a,b)	Chi(x, a, b)
cHi	3-args Function	Characteristic function for x in (a,b]	cHi(x, a, b)
pUni	3-args Function	Probability distribution function - Uniform continuous distribution U(a,b)	pUni(x, a, b)
cUni	3-args Function	Cumulative distribution function - Uniform continuous distribution U(a,b)	cUni(x, a, b)
qUni	3-args Function	Quantile function (inverse cumulative distribution function) - Uniform continuous distribution U(a,b)	qUni(q, a, b)
pNor	3-args Function	Probability distribution function - Normal distribution N(m,s)	pNor(x, mean, stdv)
cNor	3-args Function	Cumulative distribution function - Normal distribution N(m,s)	cNor(x, mean, stdv)
qNor	3-args Function	Quantile function (inverse cumulative distribution function)	qNor(q, mean, stdv)
dig	3-args Function	Digit at position 1 ... n (left -> right) or 0 ... -(n-1) (right -> left) - numeral system with given base	dig(num, pos, base)

Variadic Functions

关键字	使用范围	描述	示例
iff	Variadic Function	If function	iff( cond-1, expr-1; ... ; cond-n, expr-n )
min	Variadic Function	Minimum function	min(a1, ..., an)
max	Variadic Function	Maximum function	max(a1, ..., an)
ConFrac	Variadic Function	Continued fraction	ConFrac(a1, ..., an)
ConPol	Variadic Function	Continued polynomial	ConPol(a1, ..., an)
gcd	Variadic Function	Greatest common divisor	gcd(a1, ..., an)
lcm	Variadic Function	Least common multiple	lcm(a1, ..., an)
add	Variadic Function	Summation operator	add(a1, ..., an)
multi	Variadic Function	Multiplication	multi(a1, ..., an)
mean	Variadic Function	Mean / average value	mean(a1, ..., an)
var	Variadic Function	Bias-corrected sample variance	var(a1, ..., an)
std	Variadic Function	Bias-corrected sample standard deviation	std(a1, ..., an)
rList	Variadic Function	Random number from given list of numbers	rList(a1, ..., an)
coalesce	Variadic Function	Returns the first non-NaN value	coalesce(a1, ..., an)
or	Variadic Function	Logical disjunction (OR) - variadic	or(a1, ..., an)
and	Variadic Function	Logical conjunction (AND) - variadic	and(a1, ..., an)
xor	Variadic Function	Exclusive or (XOR) - variadic	xor(a1, ..., an)
argmin	Variadic Function	Arguments / indices of the minima	argmin(a1, ..., an)
argmax	Variadic Function	Arguments / indices of the maxima	argmax(a1, ..., an)
med	Variadic Function	The sample median	med(a1, ..., an)
mode	Variadic Function	Mode - the value that appears most often	mode(a1, ..., an)
base	Variadic Function	Returns number in given numeral system base represented by list of digits	base(b, d1, ..., dn)
ndist	Variadic Function	Number of distinct values	ndist(v1, ..., vn)

Calculus Operators / Iterated Operators

关键字	使用范围	描述	示例
sum	Calculus Operator	Summation operator - SIGMA	sum( i, from, to, expr , <by> )
prod	Calculus Operator	Product operator - PI	prod( i, from, to, expr , <by> )
int	Calculus Operator	Definite integral operator	int( expr, arg, from, to )
der	Calculus Operator	Derivative operator	der( expr, arg, <point> )
der-	Calculus Operator	Left derivative operator	der-( expr, arg, <point> )
der+	Calculus Operator	Right derivative operator	der+( expr, arg, <point> )
dern	Calculus Operator	n-th derivative operator	dern( expr, n, arg )
diff	Calculus Operator	Forward difference operator	diff( expr, arg, <delta> )
difb	Calculus Operator	Backward difference operator	difb( expr, arg, <delta> )
avg	Calculus Operator	Average operator	avg( i, from, to, expr , <by> )
vari	Calculus Operator	Bias-corrected sample variance operator	vari( i, from, to, expr , <by> )
stdi	Calculus Operator	Bias-corrected sample standard deviation operator	stdi( i, from, to, expr , <by> )
mini	Calculus Operator	Minimum value	mini( i, from, to, expr , <by> )
maxi	Calculus Operator	Maximum value	maxi( i, from, to, expr , <by> )
solve	Calculus Operator	f(x) = 0 equation solving, function root finding	solve( expr, a, b )

Random Variables

关键字	使用范围	描述	示例
[Uni]	Random Variable	Random variable - Uniform continuous distribution U(0,1), usage example: 2*[Uni]	2*[Uni]
[Int]	Random Variable	Random variable - random integer - usage example sin( 3*[Int] )	[Int]*3
[Int1]	Random Variable	Random variable - random integer - Uniform discrete distribution U{-10^1, 10^1} - usage example sin( 3*[Int1] )	2*[Int1]
[Int2]	Random Variable	Random variable - random integer - Uniform discrete distribution U{-10^2, 10^2} - usage example sin( 3*[Int2] )	[Int2]*3
[Int3]	Random Variable	Random variable - random integer - Uniform discrete distribution U{-10^3, 10^3} - usage example sin( 3*[Int3] )	2*[Int3]
[Int4]	Random Variable	Random variable - random integer - Uniform discrete distribution U{-10^4, 10^4} - usage example sin( 3*[Int4] )	[Int4]*3
[Int5]	Random Variable	Random variable - random integer - Uniform discrete distribution U{-10^5, 10^5} - usage example sin( 3*[Int5] )	2*[Int5]
[Int6]	Random Variable	Random variable - random integer - Uniform discrete distribution U{-10^6, 10^6} - usage example sin( 3*[Int6] )	[Int6]*3
[Int7]	Random Variable	Random variable - random integer - Uniform discrete distribution U{-10^7, 10^7} - usage example sin( 3*[Int7] )	2*[Int7]
[Int8]	Random Variable	Random variable - random integer - Uniform discrete distribution U{-10^8, 10^8} - usage example sin( 3*[Int8] )	[Int8]*3
[Int9]	Random Variable	Random variable - random integer - Uniform discrete distribution U{-10^9, 10^9} - usage example sin( 3*[Int9] )	2*[Int9]
[nat]	Random Variable	Random variable - random natural number including 0 - usage example sin( 3*[nat] )	[nat]*3
[nat1]	Random Variable	Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^1} - usage example sin( 3*[nat1] )	2*[nat1]
[nat2]	Random Variable	Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^2} - usage example sin( 3*[nat2] )	[nat2]*3
[nat3]	Random Variable	Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^3} - usage example sin( 3*[nat3] )	2*[nat3]
[nat4]	Random Variable	Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^4} - usage example sin( 3*[nat4] )	[nat4]*3
[nat5]	Random Variable	Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^5} - usage example sin( 3*[nat5] )	2*[nat5]
[nat6]	Random Variable	Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^6} - usage example sin( 3*[nat6] )	[nat6]*3
[nat7]	Random Variable	Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^7} - usage example sin( 3*[nat7] )	2*[nat7]
[nat8]	Random Variable	Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^8} - usage example sin( 3*[nat8] )	[nat8]*3
[nat9]	Random Variable	Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^9} - usage example sin( 3*[nat9] )	2*[nat9]
[Nat]	Random Variable	Random variable - random natural number - usage example sin( 3*[Nat] )	[Nat]*3
[Nat1]	Random Variable	Random variable - random natural number - Uniform discrete distribution U{1, 10^1} - usage example sin( 3*[Nat1] )	2*[Nat1]
[Nat2]	Random Variable	Random variable - random natural number - Uniform discrete distribution U{1, 10^2} - usage example sin( 3*[Nat2] )	[Nat2]*3
[Nat3]	Random Variable	Random variable - random natural number - Uniform discrete distribution U{1, 10^3} - usage example sin( 3*[Nat3] )	2*[Nat3]
[Nat4]	Random Variable	Random variable - random natural number - Uniform discrete distribution U{1, 10^4} - usage example sin( 3*[Nat4] )	[Nat4]*3
[Nat5]	Random Variable	Random variable - random natural number - Uniform discrete distribution U{1, 10^5} - usage example sin( 3*[Nat5] )	2*[Nat5]
[Nat6]	Random Variable	Random variable - random natural number - Uniform discrete distribution U{1, 10^6} - usage example sin( 3*[Nat6] )	[Nat6]*3
[Nat7]	Random Variable	Random variable - random natural number - Uniform discrete distribution U{1, 10^7} - usage example sin( 3*[Nat7] )	2*[Nat7]
[Nat8]	Random Variable	Random variable - random natural number - Uniform discrete distribution U{1, 10^8} - usage example sin( 3*[Nat8] )	[Nat8]*3
[Nat9]	Random Variable	Random variable - random natural number - Uniform discrete distribution U{1, 10^9} - usage example sin( 3*[Nat9] )	2*[Nat9]
[Nor]	Random Variable	Random variable - Normal distribution N(0,1) - usage example cos( 3*[Nor]+1 )	[Nor]*3

Mathematical Constants

关键字	使用范围	描述	示例
pi	Constant Value	Pi, Archimedes' constant or Ludolph's number	2*pi
e	Constant Value	Napier's constant, or Euler's number, base of Natural logarithm	e*3
[gam]	Constant Value	Euler-Mascheroni constant	2*[gam]
[phi]	Constant Value	Golden ratio	[phi]*3
[PN]	Constant Value	Plastic constant	2*[PN]
[B*]	Constant Value	Embree-Trefethen constant	[B]3
[F'd]	Constant Value	Feigenbaum constant alfa	2*[F'd]
[F'a]	Constant Value	Feigenbaum constant delta	[F'a]*3
[C2]	Constant Value	Twin prime constant	2*[C2]
[M1]	Constant Value	Meissel-Mertens constant	[M1]*3
[B2]	Constant Value	Brun's constant for twin primes	2*[B2]
[B4]	Constant Value	Brun's constant for prime quadruplets	[B4]*3
[BN'L]	Constant Value	De Bruijn-Newman constant	2*[BN'L]
[Kat]	Constant Value	Catalan's constant	[Kat]*3
[K*]	Constant Value	Landau-Ramanujan constant	2[K]
[K.]	Constant Value	Viswanath's constant	[K.]*3
[B'L]	Constant Value	Legendre's constant	2*[B'L]
[RS'm]	Constant Value	Ramanujan-Soldner constant	[RS'm]*3
[EB'e]	Constant Value	Erdos-Borwein constant	2*[EB'e]
[Bern]	Constant Value	Bernstein's constant	[Bern]*3
[GKW'l]	Constant Value	Gauss-Kuzmin-Wirsing constant	2*[GKW'l]
[HSM's]	Constant Value	Hafner-Sarnak-McCurley constant	[HSM's]*3
[lm]	Constant Value	Golomb-Dickman constant	2*[lm]
[Cah]	Constant Value	Cahen's constant	[Cah]*3
[Ll]	Constant Value	Laplace limit	2*[Ll]
[AG]	Constant Value	Alladi-Grinstead constant	[AG]*3
[L*]	Constant Value	Lengyel's constant	2[L]
[L.]	Constant Value	Levy's constant	[L.]*3
[Dz3]	Constant Value	Apery's constant	2*[Dz3]
[A3n]	Constant Value	Mills' constant	[A3n]*3
[Bh]	Constant Value	Backhouse's constant	2*[Bh]
[Pt]	Constant Value	Porter's constant	[Pt]*3
[L2]	Constant Value	Lieb's square ice constant	2*[L2]
[Nv]	Constant Value	Niven's constant	[Nv]*3
[Ks]	Constant Value	Sierpinski's constant	2*[Ks]
[Kh]	Constant Value	Khinchin's constant	[Kh]*3
[FR]	Constant Value	Fransen-Robinson constant	2*[FR]
[La]	Constant Value	Landau's constant	[La]*3
[P2]	Constant Value	Parabolic constant	2*[P2]
[Om]	Constant Value	Omega constant	[Om]*3
[MRB]	Constant Value	MRB constant	2*[MRB]
[li2]	Constant Value	li(2) - logarithmic integral function at x=2	[li2]*3
[EG]	Constant Value	Gompertz constant	2*[EG]
[true]	Constant Value	Boolean True represented as double, [true] = 1	[true]
[false]	Constant Value	Boolean False represented as double, [false] = 0	[false]
[NaN]	Constant Value	Not-a-Number	[NaN]

Physical Constant

关键字	使用范围	描述	示例
[c]	Constant Value	<Physical Constant> Light speed in vacuum [m/s] (m=1, s=1)	[c]*3
[G.]	Constant Value	<Physical Constant> Gravitational constant (m=1, kg=1, s=1)]	2*[G.]
[g]	Constant Value	<Physical Constant> Gravitational acceleration on Earth [m/s^2] (m=1, s=1)	[g]*3
[hP]	Constant Value	<Physical Constant> Planck constant (m=1, kg=1, s=1)	2*[hP]
[h-]	Constant Value	<Physical Constant> Reduced Planck constant / Dirac constant (m=1, kg=1, s=1)]	[h-]*3
[lP]	Constant Value	<Physical Constant> Planck length [m] (m=1)	2*[lP]
[mP]	Constant Value	<Physical Constant> Planck mass [kg] (kg=1)	[mP]*3
[tP]	Constant Value	<Physical Constant> Planck time [s] (s=1)	2*[tP]

Astronomical Constant

关键字	使用范围	描述	示例
[ly]	Constant Value	<Astronomical Constant> Light year [m] (m=1)	[ly]*3
[au]	Constant Value	<Astronomical Constant> Astronomical unit [m] (m=1)	2*[au]
[pc]	Constant Value	<Astronomical Constant> Parsec [m] (m=1)	[pc]*3
[kpc]	Constant Value	<Astronomical Constant> Kiloparsec [m] (m=1)	2*[kpc]
[Earth-R-eq]	Constant Value	<Astronomical Constant> Earth equatorial radius [m] (m=1)	[Earth-R-eq]*3
[Earth-R-po]	Constant Value	<Astronomical Constant> Earth polar radius [m] (m=1)	2*[Earth-R-po]
[Earth-R]	Constant Value	<Astronomical Constant> Earth mean radius (m=1)	[Earth-R]*3
[Earth-M]	Constant Value	<Astronomical Constant> Earth mass [kg] (kg=1)	2*[Earth-M]
[Earth-D]	Constant Value	<Astronomical Constant> Earth-Sun distance - semi major axis [m] (m=1)	[Earth-D]*3
[Moon-R]	Constant Value	<Astronomical Constant> Moon mean radius [m] (m=1)	2*[Moon-R]
[Moon-M]	Constant Value	<Astronomical Constant> Moon mass [kg] (kg=1)	[Moon-M]*3
[Moon-D]	Constant Value	<Astronomical Constant> Moon-Earth distance - semi major axis [m] (m=1)	2*[Moon-D]
[Solar-R]	Constant Value	<Astronomical Constant> Solar mean radius [m] (m=1)	[Solar-R]*3
[Solar-M]	Constant Value	<Astronomical Constant> Solar mass [kg] (kg=1)	2*[Solar-M]
[Mercury-R]	Constant Value	<Astronomical Constant> Mercury mean radius [m] (m=1)	[Mercury-R]*3
[Mercury-M]	Constant Value	<Astronomical Constant> Mercury mass [kg] (kg=1)	2*[Mercury-M]
[Mercury-D]	Constant Value	<Astronomical Constant> Mercury-Sun distance - semi major axis [m] (m=1)	[Mercury-D]*3
[Venus-R]	Constant Value	<Astronomical Constant> Venus mean radius [m] (m=1)	2*[Venus-R]
[Venus-M]	Constant Value	<Astronomical Constant> Venus mass [kg] (kg=1)	[Venus-M]*3
[Venus-D]	Constant Value	<Astronomical Constant> Venus-Sun distance - semi major axis [m] (m=1)	2*[Venus-D]
[Mars-R]	Constant Value	<Astronomical Constant> Mars mean radius [m] (m=1)	[Mars-R]*3
[Mars-M]	Constant Value	<Astronomical Constant> Mars mass [kg] (kg=1)	2*[Mars-M]
[Mars-D]	Constant Value	<Astronomical Constant> Mars-Sun distance - semi major axis [m] (m=1)	[Mars-D]*3
[Jupiter-R]	Constant Value	<Astronomical Constant> Jupiter mean radius [m] (m=1)	2*[Jupiter-R]
[Jupiter-M]	Constant Value	<Astronomical Constant> Jupiter mass [kg] (kg=1)	[Jupiter-M]*3
[Jupiter-D]	Constant Value	<Astronomical Constant> Jupiter-Sun distance - semi major axis [m] (m=1)	2*[Jupiter-D]
[Saturn-R]	Constant Value	<Astronomical Constant> Saturn mean radius [m] (m=1)	[Saturn-R]*3
[Saturn-M]	Constant Value	<Astronomical Constant> Saturn mass [kg] (kg=1)	2*[Saturn-M]
[Saturn-D]	Constant Value	<Astronomical Constant> Saturn-Sun distance - semi major axis [m] (m=1)	[Saturn-D]*3
[Uranus-R]	Constant Value	<Astronomical Constant> Uranus mean radius [m] (m=1)	2*[Uranus-R]
[Uranus-M]	Constant Value	<Astronomical Constant> Uranus mass [kg] (kg=1)	[Uranus-M]*3
[Uranus-D]	Constant Value	<Astronomical Constant> Uranus-Sun distance - semi major axis [m] (m=1)	2*[Uranus-D]
[Neptune-R]	Constant Value	<Astronomical Constant> Neptune mean radius [m] (m=1)	[Neptune-R]*3
[Neptune-M]	Constant Value	<Astronomical Constant> Neptune mass [kg] (kg=1)	2*[Neptune-M]
[Neptune-D]	Constant Value	<Astronomical Constant> Neptune-Sun distance - semi major axis [m] (m=1)	[Neptune-D]*3

Metric prefixes

关键字	使用范围	描述	示例
[%]	Unit	<Ratio, Fraction> Percentage = 0.01	2*[%]
[%%]	Unit	<Ratio, Fraction> Promil, Per mille = 0.001	[%%]*3
[Y]	Unit	<Metric prefix> Septillion / Yotta = 10^24	2*[Y]
[sept]	Unit	<Metric prefix> Septillion / Yotta = 10^24	[sept]*3
[Z]	Unit	<Metric prefix> Sextillion / Zetta = 10^21	2*[Z]
[sext]	Unit	<Metric prefix> Sextillion / Zetta = 10^21	[sext]*3
[E]	Unit	<Metric prefix> Quintillion / Exa = 10^18	2*[E]
[quint]	Unit	<Metric prefix> Quintillion / Exa = 10^18	[quint]*3
[P]	Unit	<Metric prefix> Quadrillion / Peta = 10^15	2*[P]
[quad]	Unit	<Metric prefix> Quadrillion / Peta = 10^15	[quad]*3
[T]	Unit	<Metric prefix> Trillion / Tera = 10^12	2*[T]
[tril]	Unit	<Metric prefix> Trillion / Tera = 10^12	[tril]*3
[G]	Unit	<Metric prefix> Billion / Giga = 10^9	2*[G]
[bil]	Unit	<Metric prefix> Billion / Giga = 10^9	[bil]*3
[M]	Unit	<Metric prefix> Million / Mega = 10^6	2*[M]
[mil]	Unit	<Metric prefix> Million / Mega = 10^6	[mil]*3
[k]	Unit	<Metric prefix> Thousand / Kilo = 10^3	2*[k]
[th]	Unit	<Metric prefix> Thousand / Kilo = 10^3	[th]*3
[hecto]	Unit	<Metric prefix> Hundred / Hecto = 10^2	2*[hecto]
[hund]	Unit	<Metric prefix> Hundred / Hecto = 10^2	[hund]*3
[deca]	Unit	<Metric prefix> Ten / Deca = 10	2*[deca]
[ten]	Unit	<Metric prefix> Ten / Deca = 10	[ten]*3
[deci]	Unit	<Metric prefix> Tenth / Deci = 0.1	2*[deci]
[centi]	Unit	<Metric prefix> Hundredth / Centi = 0.01	[centi]*3
[milli]	Unit	<Metric prefix> Thousandth / Milli = 0.001	2*[milli]
[mic]	Unit	<Metric prefix> Millionth / Micro = 10^-6	[mic]*3
[n]	Unit	<Metric prefix> Billionth / Nano = 10^-9	2*[n]
[p]	Unit	<Metric prefix> Trillionth / Pico = 10^-12	[p]*3
[f]	Unit	<Metric prefix> Quadrillionth / Femto = 10^-15	2*[f]
[a]	Unit	<Metric prefix> Quintillionth / Atoo = 10^-18	[a]*3
[z]	Unit	<Metric prefix> Sextillionth / Zepto = 10^-21	2*[z]
[y]	Unit	<Metric prefix> Septillionth / Yocto = 10^-24	[y]*3

Units of length

关键字	使用范围	描述	示例
[m]	Unit	<Unit of length> Metre / Meter (m=1)	2*[m]
[km]	Unit	<Unit of length> Kilometre / Kilometer (m=1)	[km]*3
[cm]	Unit	<Unit of length> Centimetre / Centimeter (m=1)	2*[cm]
[mm]	Unit	<Unit of length> Millimetre / Millimeter (m=1)	[mm]*3
[inch]	Unit	<Unit of length> Inch (m=1)	2*[inch]
[yd]	Unit	<Unit of length> Yard (m=1)	[yd]*3
[ft]	Unit	<Unit of length> Feet (m=1)	2*[ft]
[mile]	Unit	<Unit of length> Mile (m=1)	[mile]*3
[nmi]	Unit	<Unit of length> Nautical mile (m=1)	2*[nmi]

Units of area

关键字	使用范围	描述	示例
[m2]	Unit	<Unit of area> Square metre / Square meter (m=1)	[m2]*3
[cm2]	Unit	<Unit of area> Square centimetre / Square centimeter (m=1)	2*[cm2]
[mm2]	Unit	<Unit of area> Square millimetre / Square millimeter (m=1)	[mm2]*3
[are]	Unit	<Unit of area> Are (m=1)	2*[are]
[ha]	Unit	<Unit of area> Hectare (m=1)	[ha]*3
[acre]	Unit	<Unit of area> Acre (m=1)	2*[acre]
[km2]	Unit	<Unit of area> Square kilometre / Square kilometer (m=1)	[km2]*3

Units of volume

关键字	使用范围	描述	示例
[mm3]	Unit	<Unit of volume> Cubic millimetre / Cubic millimeter (m=1)	2*[mm3]
[cm3]	Unit	<Unit of volume> Cubic centimetre / Cubic centimeter (m=1)	[cm3]*3
[m3]	Unit	<Unit of volume> Cubic metre / Cubic meter (m=1)	2*[m3]
[km3]	Unit	<Unit of volume> Cubic kilometre / Cubic kilometer (m=1)	[km3]*3
[ml]	Unit	<Unit of volume> Millilitre / Milliliter (m=1)	2*[ml]
[l]	Unit	<Unit of volume> Litre / Liter (m=1)	[l]*3
[gall]	Unit	<Unit of volume> Gallon (m=1)	2*[gall]
[pint]	Unit	<Unit of volume> Pint (m=1)	[pint]*3

Units of time

关键字	使用范围	描述	示例
[s]	Unit	<Unit of time> Second (s=1)	2*[s]
[ms]	Unit	<Unit of time> Millisecond (s=1)	[ms]*3
[min]	Unit	<Unit of time> Minute (s=1)	2*[min]
[h]	Unit	<Unit of time> Hour (s=1)	[h]*3
[day]	Unit	<Unit of time> Day (s=1)	2*[day]
[week]	Unit	<Unit of time> Week (s=1)	[week]*3
[yearj]	Unit	<Unit of time> Julian year = 365.25 days (s=1)	2*[yearj]

Units of mass

关键字	使用范围	描述	示例
[kg]	Unit	<Unit of mass> Kilogram (kg=1)	[kg]*3
[gr]	Unit	<Unit of mass> Gram (kg=1)	2*[gr]
[mg]	Unit	<Unit of mass> Milligram (kg=1)	[mg]*3
[dag]	Unit	<Unit of mass> Decagram (kg=1)	2*[dag]
[t]	Unit	<Unit of mass> Tonne (kg=1)	[t]*3
[oz]	Unit	<Unit of mass> Ounce (kg=1)	2*[oz]
[lb]	Unit	<Unit of mass> Pound (kg=1)	[lb]*3

Units of information

关键字	使用范围	描述	示例
[b]	Unit	<Unit of information> Bit (bit=1)	2*[b]
[kb]	Unit	<Unit of information> Kilobit (bit=1)	[kb]*3
[Mb]	Unit	<Unit of information> Megabit (bit=1)	2*[Mb]
[Gb]	Unit	<Unit of information> Gigabit (bit=1)	[Gb]*3
[Tb]	Unit	<Unit of information> Terabit (bit=1)	2*[Tb]
[Pb]	Unit	<Unit of information> Petabit (bit=1)	[Pb]*3
[Eb]	Unit	<Unit of information> Exabit (bit=1)	2*[Eb]
[Zb]	Unit	<Unit of information> Zettabit (bit=1)	[Zb]*3
[Yb]	Unit	<Unit of information> Yottabit (bit=1)	2*[Yb]
[B]	Unit	<Unit of information> Byte (bit=1)	[B]*3
[kB]	Unit	<Unit of information> Kilobyte (bit=1)	2*[kB]
[MB]	Unit	<Unit of information> Megabyte (bit=1)	[MB]*3
[GB]	Unit	<Unit of information> Gigabyte (bit=1)	2*[GB]
[TB]	Unit	<Unit of information> Terabyte (bit=1)	[TB]*3
[PB]	Unit	<Unit of information> Petabyte (bit=1)	2*[PB]
[EB]	Unit	<Unit of information> Exabyte (bit=1)	[EB]*3
[ZB]	Unit	<Unit of information> Zettabyte (bit=1)	2*[ZB]
[YB]	Unit	<Unit of information> Yottabyte (bit=1)	[YB]*3

Units of energy

关键字	使用范围	描述	示例
[J]	Unit	<Unit of energy> Joule (m=1, kg=1, s=1)	2*[J]
[eV]	Unit	<Unit of energy> Electronovolt (m=1, kg=1, s=1)	[eV]*3
[keV]	Unit	<Unit of energy> Kiloelectronovolt (m=1, kg=1, s=1)	2*[keV]
[MeV]	Unit	<Unit of energy> Megaelectronovolt (m=1, kg=1, s=1)	[MeV]*3
[GeV]	Unit	<Unit of energy> Gigaelectronovolt (m=1, kg=1, s=1)	2*[GeV]
[TeV]	Unit	<Unit of energy> Teraelectronovolt (m=1, kg=1, s=1)	[TeV]*3

Units of speed

关键字	使用范围	描述	示例
[m/s]	Unit	<Unit of speed> Metre / Meter per second (m=1, s=1)	2*[m/s]
[km/h]	Unit	<Unit of speed> Kilometre / Kilometer per hour (m=1, s=1)	[km/h]*3
[mi/h]	Unit	<Unit of speed> Mile per hour (m=1, s=1)	2*[mi/h]
[knot]	Unit	<Unit	关键字	使用范围	描述	示例	of speed> Knot (m=1, s=1)	[knot]*3

Units of acceleration

关键字	使用范围	描述	示例
[m/s2]	Unit	<Unit of acceleration> Metre / Meter per square second (m=1, s=1)	2*[m/s2]
[km/h2]	Unit	<Unit of acceleration> Kilometre / Kilometer per square hour (m=1, s=1)	[km/h2]*3
[mi/h2]	Unit	<Unit of acceleration> Mile per square hour (m=1, s=1)	2*[mi/h2]

Units of angle

关键字	使用范围	描述	示例
[rad]	Unit	<Unit of angle> Radian (rad=1)	[rad]*pi
[deg]	Unit	<Unit of angle> Degree of arc (rad=1)	180*[deg]
[']	Unit	<Unit of angle> Minute of arc (rad=1)	[']*3
['']	Unit	<Unit of angle> Second of arc (rad=1)	2*['']

Other parser symbols

关键字	使用范围	描述	示例
(	Parser Symbol	Left parentheses	(3+2)/4
)	Parser Symbol	Right parentheses	(3+2)/4
,	Parser Symbol	Comma (function parameters)	min(2,3,1)
;	Parser Symbol	Semicolon (function parameters)	min(2;3;1)

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