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Standard Math

 

 

 

 

MakerPlot-J uses the mXParser Java Library developed by Mariusz Gromada for Standard Math (Infix) Operations. It’s an excellent line math parser – please consider donating to him if it’s been of help! http://mathparser.org

To denote a standard math operation, enclose in {  }, such as { 2 * ( 9 + 2) }

Feel free to use the DEBUG/CLI to test operations, such as ? {2 * ( 9 + 2) }
 Or, enter some analog values such as 10,20,30 in the DEBUG/CLI and use:
 ? { [ain0] * ( [ain1] + [ain2] ) }

Notes:                                                                                                                                                                                              

Math supports full use of parenthesis for grouping operations.
 

MakerPlot-J values may be used, such as: { [ain0]^2 + [sldNum]  }
 

Post-Fix Math operations may be performed inside standard math operations (and vice-versa): { 2 + {:: 2.4 int}}
 

There is no integer function to convert a floating point to an integer by removing the fractional value. Please use Post-Fix Math of {:: 12.516 int }. There is a round function which will round up with the specified number of decimals: { round(12.516, 0) } When using the defined constants, units, etc., below, such as [Uni] for a random number from 0 to 1, do not name any controls or variables to same name as they will take precedence in replacing the [ ] value.
 

Variadic Funtions: Many of the functions can process an array of comma separated values (CSV), such as:
10,25,50
? { mean(10,25,50) }

It is possible to access the plotted channel's data as CSV values:
? { mean([plot.csvCh0]) }

This is a time consuming operation and may take several seconds for even 20,000 points of data. During processing, the queue processing will cease and can cause issues with high rates of data arriving. To limit the number of the values that are processed, Post-Fix Math includes the operation of csvNumber., Such as the following which will return the last 10 CVS values of channel 0:
 ?{:: [plot.csvCh0] :: 10 :: csvNumber}

This can be used in the math operations using CSV value to limit the number of values, such as getting the mean value of the last 1000 values plotted for channel 0:
? { mean( {:: [plot.csvCh0] :: 1000 :: csvNumber } ) }
 

 

All Math Operators, Functions and Constants

Many of these math operators are beyond our comprehension, so please don’t ask us how to use them or what they do!

 

KEY WORD

CATEGORY

DESCRIPTION

EXAMPLE

 

+

Operator

Addition

a + b
? { [ain0] + 10 }

 

-

Operator

Subtraction

a - b

 

*

Operator

Multiplication

a * b

 

/

Operator

Division

a / b

 

^

Operator

Exponentiation

a ^ b

 

!

Operator

Factorial

n!

 

#

Operator

Modulo function

a # b

*

%

Operator

Modulo function

a % b (ensure leading space before %)

 

=

Binary Relation

Equality

a = b
? {10 = 10 }

 

!if { [ain0] = 2 } !then ? ok !else ? nope

 

==

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

 

&

Boolean Operator

Logical conjunction (AND)

p & q

 

&&

Boolean Operator

Logical conjunction (AND)

p && q

*

and

Boolean Operator

Logical conjunction (AND)

p and q
? { [din0] and [din0] }

 

/\

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

*

or

Boolean Operator

Logical disjunction (OR)

p or 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

 

xor

Boolean Operator

Exclusive or (XOR)

p xor 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        (ensure leading space)
As some uses may strip leading spaces, such as plot formulas, use a + to force a space:
+ ![din0]

 

~

Boolean Operator

Negation

~p

 

not

Boolean Operator

Negation

not p

 

@~

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

 

sin

Unary Function

All Trig functions are in radians. Use rad(value) to convert degrees.
Trigonometric sine function

sin(x)
? { sin(rad(45)) }

 

cos

Unary Function

Trigonometric cosine function

cos(x)

 

tan

Unary Function

Trigonometric tangent function

tan(x)

 

tg

Unary Function

Trigonometric tangent function

tg(x)

 

ctan

Unary Function

Trigonometric cotangent function

ctan(x)

 

ctg

Unary Function

Trigonometric cotangent function

ctg(x)

 

cot

Unary Function

Trigonometric cotangent function

cot(x)

 

sec

Unary Function

Trigonometric secant function

sec(x)

 

cosec

Unary Function

Trigonometric cosecant function

cosec(x)

 

csc

Unary Function

Trigonometric cosecant function

csc(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)

 

atan

Unary Function

Inverse trigonometric tangent function

atan(x)

 

arctan

Unary Function

Inverse trigonometric tangent function

arctan(x)

 

atg

Unary Function

Inverse trigonometric tangent function

atg(x)

 

arctg

Unary Function

Inverse trigonometric tangent function

arctg(x)

 

actan

Unary Function

Inverse trigonometric cotangent function

actan(x)

 

arcctan

Unary Function

Inverse trigonometric cotangent function

arcctan(x)

 

actg

Unary Function

Inverse trigonometric cotangent function

actg(x)

 

arcctg

Unary Function

Inverse trigonometric cotangent function

arcctg(x)

 

acot

Unary Function

Inverse trigonometric cotangent function

acot(x)

 

arccot

Unary Function

Inverse trigonometric cotangent function

arccot(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

Square root function

sqrt(x)

 

sinh

Unary Function

Hyperbolic sine function

sinh(x)

 

cosh

Unary Function

Hyperbolic cosine function

cosh(x)

 

tanh

Unary Function

Hyperbolic tangent function

tanh(x)

 

tgh

Unary Function

Hyperbolic tangent function

tgh(x)

 

ctanh

Unary Function

Hyperbolic cotangent function

ctanh(x)

 

coth

Unary Function

Hyperbolic cotangent function

coth(x)

 

ctgh

Unary Function

Hyperbolic cotangent function

ctgh(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

Absolute value function

abs(x)

? { abs(-10) }

 

sgn

Unary Function

Signum function

sgn(x)
Returns 1 if positive, -1 if neg.

 

floor

Unary Function

Floor function

floor(x)

 

ceil

Unary Function

Ceiling function

ceil(x)

*

 !

Unary Function

Negation function

 !x            (ensure leading space)

 

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)

 

atanh

Unary Function

Inverse hyperbolic tangent function

atanh(x)

 

arctanh

Unary Function

Inverse hyperbolic tangent function

arctanh(x)

 

atgh

Unary Function

Inverse hyperbolic tangent function

atgh(x)

 

arctgh

Unary Function

Inverse hyperbolic tangent function

arctgh(x)

 

actanh

Unary Function

Inverse hyperbolic cotangent function

actanh(x)

 

arcctanh

Unary Function

Inverse hyperbolic cotangent function

arcctanh(x)

 

acoth

Unary Function

Inverse hyperbolic cotangent function

acoth(x)

 

arcoth

Unary Function

Inverse hyperbolic cotangent function

arcoth(x)

 

arccoth

Unary Function

Inverse hyperbolic cotangent function

arccoth(x)

 

actgh

Unary Function

Inverse hyperbolic cotangent function

actgh(x)

 

arcctgh

Unary Function

Inverse hyperbolic cotangent function

arcctgh(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)

 

arccosech

Unary Function

Inverse hyperbolic cosecant function

arccosech(x)

 

sinc

Unary Function

Sinc function (normalized)

sinc(x)

 

Sa

Unary Function

Sinc function (normalized)

Sa(x)

 

Sinc

Unary Function

Sinc function (unnormalized)

Sinc(x)

 

Bell

Unary Function

Bell number

Bell(x)

 

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(n)

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)

 

log

Binary Function

Logarithm function

log(base,x)

 

mod

Binary Function

Modulo function

mod(a,b)

 

C

Binary Function

Binomial coefficient function

C(n,k)

 

Bern

Binary Function

Bernoulli numbers

Bern(n,k)

 

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(m,x)

 

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(m,s)

 

if

3-args Function

If function ( if(con, if_true, if_false) )

if(a=1, 2, 0)
? { if(10=10,1,0) }

 

chi

3-args Function

Characteristic function for x in (a,b) - chi(x, a, b)

chi(x, a, b)

 

CHi

3-args Function

Characteristic function for x in [a,b] - CHi(x, a, b)

CHi(x, a, b)

 

Chi

3-args Function

Characteristic function for x in [a,b) - Chi(x, a, b)

Chi(x, a, b)

 

cHi

3-args Function

Characteristic function for x in (a,b] - cHi(x, a, b)

cHi(x, a, b)

 

pUni

3-args Function

Probability distribution function - Uniform continuous distribution U(a,b), usage example: 2 * pUni(x, 2, 10)

pUni(x, a, b)

 

cUni

3-args Function

Cumulative distribution function - Uniform continuous distribution U(a,b), usage example: 2 * cUni(x, 2, 10)

cUni(x, a, b)

 

qUni

3-args Function

Quantile function (inverse cumulative distribution function) - Uniform continuous distribution U(a,b), usage example: 2 * qUni(q, 2, 10)

qUni(q, a, b)

 

pNor

3-args Function

Probability distribution function - Normal distribution N(m,s) m - mean, s - stddev, usage example: 2 * pNor(x, 1, 2)

pNor(x, a, b)

 

cNor

3-args Function

Cumulative distribution function - Normal distribution N(m,s) m - mean, s - stddev, usage example: 2 * cNor(x, 1, 2)

cNor(x, a, b)

 

qNor

3-args Function

Quantile function (inverse cumulative distribution function) - Normal distribution N(m,s) m - mean, s - stddev, usage example: 2 * qNor(q, 1, 2)

qNor(q, a, b)

 

See note at
top on
Variadic Functions

 

 

 

 

iff

Variadic Function

If function ( iff(con_1, if_true_1_exp, ..., con_n, if_true_n_exp) )

iff(x=1, 1; x=2, 2; x=3, 3)

 

min

Variadic Function

Minimum function: min(a,b,c,...)

min(2,3,1)

 

max

Variadic Function

Maximum function: max(a,b,c,...)

max(2,3,1)

 

ConFrac

Variadic Function

Continued fraction: ConFrac(a,b,c,...)

ConFrac(5,1,2,4)

 

ConPol

Variadic Function

Continued polynomial: ConPol(a,b,c,...)

ConPol(5,1,2,4)

 

gcd

Variadic Function

Greatest common divisor: gcd(a,b,c,...)

gcd(5,1,2,4)

 

lcm

Variadic Function

Least common multiple: lcm(a,b,c,...)

lcm(5,1,2,4)

 

add

Variadic Function

Summation operator add(a1,a2,a3,...,an)

add(5,1,2,4)

 

multi

Variadic Function

Multiplication multi(a1,a2,a3,...,an)

multi(5,1,2,4)

 

mean

Variadic Function

Mean / average value mean(a1,a2,a3,...,an)

mean(5,1,2,4)

 

var

Variadic Function

Bias-corrected sample variance var(a1,a2,a3,...,an)

var(5,1,2,4)

 

std

Variadic Function

Bias-corrected sample standard deviation std(a1,a2,a3,...,an)

std(5,1,2,4)

 

rList

Variadic Function

Random number from given list of numbers rList(a1,a2,a3,...,an)

rList(5,1,2,4)

 

sum

Iterated Operator

Summation operator (SIGMA) sum(i, from, to, f(i,...) <,BY>)

sum(i, 1, 10, i^2), sum(i, 1, 10, i^2, 0.5)

 

prod

Iterated Operator

Product operator (PI) prod(i, from, to, f(i,...) <,BY>)

prod(i, 1, 10, i^2), prod(i, 1, 10, i^2, 0.5)

 

avg

Iterated Operator

Average operator avg(i, from, to, f(i,...) <,BY>)

avg(i, 1, 10, i^2), avg(i, 1, 10, i^2, 0.2)

 

vari

Iterated Operator

Bias-corrected sample variance operator vari(i, from, to, f(i,...) <,BY>)

vari(i, 1, 10, i^2), vari(i, 1, 10, i^2, 0.5)

 

stdi

Iterated Operator

Bias-corrected sample standard deviation operator stdi(i, from, to, f(i,...) <,BY>)

stdi(i, 1, 10, i^2), stdi(i, 1, 10, i^2, 0.01)

 

mini

Iterated Operator

Minimum value mini(i, from, to, f(i,...) <,BY>)

mini(i, 1, 10, i^2), mini(i, 1, 10, i^2, 0.3)

 

maxi

Iterated Operator

Maximum value maxi(i, from, to, f(i,...) <,BY>)

maxi(i, 1, 10, i^2), maxi(i, 1, 10, i^2, 0.4)

 

int

Calculus Operator

Definite integral operator ( int(f(x,...), x, a, b) )

inf(sin(x), x, 0, pi)

 

der

Calculus Operator

Derivative operator ( der(f(x,...), x) )

der(sin(x), x)

 

der-

Calculus Operator

Left derivative operator ( der-(f(x,...), x) )

der+(sin(x), x)

 

der+

Calculus Operator

Right derivative operator ( der+(f(x,...), x) )

der-(sin(x), x)

 

dern

Calculus Operator

N-th derivative operator ( dern(f(x,...), x) )

dern(x^2, 2, x)

 

diff

Calculus Operator

Forward difference operator diff(f(x,...), x <,h>)

diff(sin(x), x), diff(f(x), x, 0.1)

 

difb

Calculus Operator

Backward difference operator difb(f(x,...), x <,h>)

difb(sin(x), x), difb(f(x), x, 0.1)

 

int

Calculus Operator

Definite integral operator ( int(f(x,...), x, a, b) )

inf(sin(x), x, 0, pi)

 

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]

 

[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]

 

[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

 

[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

 

[%]

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

 

KEY WORD

CATEGORY

DESCRIPTION

EXAMPLE

 

[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

 

[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

 

[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]

 

[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

 

[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

 

[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

 

[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 of speed> Knot (m=1, s=1)

[knot]*3

 

[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]

 

[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*['']

 

* Incorporated through MakerPlot-J

 

 

 

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