Build in functions

• Basic operations
• Discrete functions
• Trigoniometry
• Differential functions
• Constants
• References to other Equations

Basic operations

• a + b: the sum of a and b
• a - b: the difference of a and b
• a * b: a times b
  Tip: When a and b are no numbers, the multiplication sign can be omitted:
  e.g.: 2epixxsin(x) equals 2*e*pi*x*x*sin(x)
• a / b: a divided by b
• a ^ b : a power b
• sqrt(x): square root of x
• exp(x) or e^(x): number e power x
• ln(x): the natural logarithm of x
• log(x): the 10 base logarithm of x

Discrete functions

• abs(f): the absolute value of function f
• a % b: a modulo b
• a ! : the faculty of a
• floor(f): the floor of function f (e.g.: floor(3.6) gives 3)
• ceil(f): the ceil of function f (e.g.: ceil(2.1) gives 3)
• frac(f): the fraction of function f (e.g.: frac(2.345) gives 0.345)
• rnd: random number between 0 (inclusive) and 1 (exclusive)
  warning: you can't evaluate nor show the table of an equation using rnd
• P(n,k): the number of permutations while chosing k elements out of n elements in a specific order
• C(n,k): the number of combinations while chosing k elements out of n elements in any order

Trigoniometry

• sin(f): the sine of function f (in radians)
• cos(f): the cosine of function f (in radians)
• tan(f): the tangent of function f (in radians)
• asin(f): the arc sine of function f (in radians)
• acos(f): the arc cosine of function f (in radians)
• atan(f): the arc tangent of function f (in radians)
• sinh(f): the hyperbolic sine of function f (in radians)
• cosh(f): the hyperbolic cosine of function f (in radians)
• tanh(f): the hyperbolic tangent of function f (in radians)
• rad(f): converts function f from degrees to radians
  Tip: use "sin(rad(90))" to calculate the sine of 90 degrees (gives 1)
• deg(f): converts function f from radians to degrees
  Tip: use "deg(asin(1))" to calculate the arc sine of 1 in degrees (gives 90 degrees)

where f can be any combination of functions

Differential functions

• D(f): the derivate of function f
• I(f): the indefinite integral of function f, the constant term is chosen so that the integral will go through the origin
• I(x1, x2, f(x)): the definite integral of function f(x) between x1 and x2 :

Constants

• e: the number e (e=2.718281828...)
• pi: the number pi (pi=3.1415926536...)
• Na: Avogadro constant (A=6.02214179e23 / mol)
• q: Elementary charge (q=1.602176462e-19 Coulomb)
• h: Planck constant (h=6.6260693e-34 J.s)
• F: Faraday constant (F=96485.3 Coulomb/mole)
• G: Gravitational constant (G=6.67428e-11 m³/kg.s² )
• p: Permittivity of vacuum or electric constant ε0 (p=8.854187817e-12 F/m)
• m: Magnetic constant or vacuum permeability μ0 (m=1.2566e−6 H/m)

References to other Equations

• f(a): refers to the a-th equation.
  e.g.: eqn1="sin(x)" and eqn2="f(1)+1"
  is the same as eqn2="sin(x)+1"
  Attention: you can only refer to previous equations