General Usage
Operators and general syntax
Settings
Angle mode, auto updates, etc.
Last result
ans, answer
Help Command
help topic
Standard Operators
+ – ∗ / ^ ! i
Relational Operators
< > ≤
Defining Variables
beta=45
Defining Functions
f(x):x^2
Standard Functions
sqrt, lg, etc.
Square Root
sqrt(x)
n-th Root
rt(x; n[; k])
Exponential Function
exp(x)
Natural Logarithm
ln(x)
Logarithm
log(x; b)
Common Logarithm
lg(x)
Binary Logarithm
ld(x)
k-th Branch of the Ln
lk(x; k)
Argument
arg(z)
Absolute Value
abs(z)
Complex Conjugate
conj(z)
Modulo
mod(a; b)
Sign Function
sign(x)
Heaviside step function
H(x), heavi(x)
Gamma Function
gamma(z), gammaf(z)
Maximum
max(a;b;c;…)
Minimum
min(a;b;c;…)
Rounding
round(x)
Ceiling Function
ceil(x)
Floor Function
floor(x)
Fraction
frac(x)
Truncate
trunc(x)
Stochastics
avg, binomial, etc.
Average (Mean)
avg(a;b;c;…), mean(a;b;c;…)
Random Number
random(min; max)
Binomial Coefficient
nk(n; k)
Permutation without repetition
perm(n;k), vari(n;k)
Binomial Distribution
binomial(n; k; p)
Trigonometric Functions
sin, cos, asin, etc.
Radian
rad(x)
Radian (Multiple of π)
radpi(x)
Degrees
deg(x)
Sine
sin(x)
Cosine
cos(x)
Tangent
tan(x)
Cosecant
csc(x), cosec(x)
Secant
sec(x)
Cotangent
cot(x)
Arcsine
asin(x), arcsin(x)
Arccosine
acos(x), arccos(x)
Arctangent
atan(x), arctan(x)
Arccosecant
acsc(x), arccsc(x), …
Arcsecant
asec(x), arcsec(x)
Arccotangent
acot(x), arccot(x)
Hyperbolic Functions
sinh, cosh, asinh, etc.
Hyperbolic Sine
sinh(x), sinhyp(x)
Hyperbolic Cosine
cosh(x), coshyp(x)
Hyperbolic Tangent
tanh(x), tanhyp(x)
Hyperbolic Cosecant
csch(x), cschyp(x), …
Hyperbolic Secant
sech(x), sechyp(x)
Hyperbolic Cotangent
coth(x), cothyp(x)
Area Hyperbolic Sine
asinh(x), arsinh(x), asinhyp(x), …
Area Hyperbolic Cosine
acosh(x), arcosh(x), acoshyp(x), …
Area Hyperbolic Tangent
atanh(x), artanh(x), atanhyp(x), …
Area Hyperbolic Cosecant
acsch(x), arcsch(x), acschyp(x), …
Area Hyperbolic Secant
asech(x), arsech(x), asechyp(x), …
Area Hyperbolic Cotangent
acoth(x), arcoth(x), acothyp(x), …
Constants
pi, E, etc.
Circular constant π
pi = 3.1415926535898
Euler’s number e
E = 2.718281828459
SI prefixes
kilo, nano, …
Standard gravity g
g = 9.80665 m/s2
Avogadro constant NA
Na = 6.0221415⋅1023 mol-1
Loschmidt constant n0
n0 = 2.6867773⋅1025 m-3
Atomic mass u
u = 1.66053886⋅10-27 kg
Rest masses of elementary particles
me, mp, mn, etc.
Boltzmann constant k
kB = 1.3806505⋅10-23 J/K
Universal gas constant R
R = 8.314472 J⋅mol-1⋅K-1
Molar gas volume Vm
Vm = 22.413996 l/mol
Standard atmosphere p0
p0 = 101 325 Pa
Gravitational constant G
G = 6.674⋅10-11 m3⋅kg-1⋅s-2
Vacuum speed of light c
c = 299 792 458 m/s
Elementary charge e
el = 1.60217653⋅10-19 C
Electric constant ε0
eps = 8.854⋅10-12 F/m
Magnetic constant μ0
m0 = 12.566⋅10-7 N⋅A-2
Faraday constant F
F = 96 485.3383 C/mol
Wien’s displacement constant b
b = 2.8977685⋅10-3 m⋅K
Stefan-Boltzmann constant σ
sb = 5.6704⋅10-8 W⋅m-2⋅K-4
Planck constant h
h = 6.6260693⋅10-34 Js
Reduced Planck constant ħ
hp = h/2π = 1.05457⋅10-34 Js
Rydberg constant R∞
ryd = 1.09737⋅107 m-1
Rydberg frequency R
Rf = c⋅R∞ = 3.2898⋅1015 Hz
Rydberg energy Ry
Ry = h⋅c⋅R∞ = 13.6057 eV
Bohr radius a0
a0 = 0.5291772108⋅10-10 m
Bohr magneton μB
mB = 9.27400949⋅10-24 J/T
Nuclear magneton μN
mN = 5.05078343⋅10-27 J/T
Compton wavelength (electron) λC,e
Ce = 2.426310238⋅10-12 m
Compton wavelength (neutron) λC,n
Cn = 1.3195909067⋅10-15 m
Compton wavelength (proton) λC,p
Cp = 1.3214098555⋅10-15 m
Classical electron radius re
re = 2.817940325⋅10-15 m
Fine-structure constant α
fine = 7.297352568⋅10-3
Fluxon Φ0
flux = 2.06783372⋅10-15 Wb
Josephson constant KJ
Kj = 1/Φ0 = 483.598⋅1012 Hz/V
Landé g-factor of the electron ge
ge = 2.0023193043718
Gyromagnetic ratio γProton
gyro = 2.675⋅108 rad⋅s-1⋅T-1
Quantum Hall resistance RK
Rk = 25.812807449⋅103 Ω
Tensors
Kronecker, Levi-Civita
Kronecker δij
delta(i; j)
Levi-Civita εijk
levi(i; j; k)
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Feedback & Bug Report
Calc BoardVersion 1.6.1
Release Date
November 30th, 2008
New Features
Fixed some minor issues concerning rounding and the exponential function.
Known Issues
Still has rounding problems from time to time.
Calc BoardVersion 1.6
Release Date
October 12th, 2008
New Features
New Stochastics functions, modulo, fraction, truncate, and improved random, root and Gamma function
Widget: Resizing and Font Adaption, Saving the protocol, Help Command
Improved Usability
Bug fixes
Calc BoardVersion 1.5
Release Date
August 9th, 2008
New Features
User-defined functions accept parameters now.
Widget: Pressing Esc wipes the board
New functions: min, max, avg, Heaviside
Improved the widget’s look in Tiger
Minor Bug fixes
Calc BoardVersion 1.4
Release Date
August 3rd, 2008
New Features
a^b^c = a^(b^c) instead of (a^b)^c.
Corrected the value of the gas constant.
The widget now saves user-defined variables and functions even throughout restarts.
Multiple widgets may operate using different settings, but all use the same variables and functions.
Improved Mac OS X 10.4 Tiger experience.
Calc BoardVersion 1.3d
Release Date
July 22nd, 2008
New Features
It is possible (again) to select text in the widget.
Minor bug fixes in the mathematical parser and the handling of the widget.
Calc BoardVersion 1.3c
Release Date
July 17th, 2008
New Features
Rounding up to 16 decimals.
Widget: "Jumping Caret" bug solved.
Calc BoardVersion 1.2
Release Date
July 17th, 2008
New Features
ans contains the exact value, not the rounded one.
Some minor bug fixes.
Calc BoardVersion 1.0
Release Date
July 12th, 2008
New Features
Everything up and running