Xây dựng hàm

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

Special numbers

e: the number e (e=2.718281828...)

pi: the number pi (pi=3.1415926536...)

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 :