Casio Classpad (fx-CP400): Collection of Functions
For my birthday post, on Pi (π) Day (March 14), here is a collection of functions for the Casio Classpad (300, 330, fx-CP400, fx-CP500).
Birthday Probability Function: bday(c,n)
"The probability that a number in a room do not share a same birthday"
c: number of categories (i.e. days in a year)
n: population size
Example:
bday(365, 40): 0.1087681902
Percent Change: pchg(old, new)
old: old amount
new: new amount
Example:
pchg(400,500): 25
Combination with Repetition: nHr(n,r)
n: population
r: number of objects to pick
Example:
nHr(52,5): 3819816
Error Function and Error Compliment Function
Error Function: erf(x)
Error Compliment Function: erfc(x)
Note that erf(x) + erfc(x) = 1
Example:
erf(0.60): 0.6038560908
erfc(0.60): 0.3961439092
Law of Cosines
a^2 = b^2 + c^2 - 2*b*c*cos(α)
Finding the Angle α: cosang(a,b,c)
Finding the Side a: cosside(b,c,α)
Example:
(Degrees Mode)
a = 20.1, b = 18.5, c = 22.3: cosang(20.1,18.5,22.3): 58.13961834° (approx)
b = 24.2, c = 18.9, α = 58°: cosside(24.2,18.9,58): 21.4032954 (approx)
Fresnel Integrals
Fresnel Cosine Integral: frescos(u)
C(u) = ∫( cos(π * x^2 ÷ 2) dx, 0, u)
Fresnel Sine Integral: fressin(u)
S(u) = ∫( sin(π * x^2 ÷ 2) dx, 0, u)
Example:
frescos(1.5): 0.445261176
fressin(1.5): 0.6975049601
Bessel Integral of the First Kind: bessel(n,x)
J_n(x) = 1 / π * ∫( cos(n * t - x * sin t) dt, 0, π)
Example:
bessel(0,1.5): 0.5118276716
bessel(2,1.2): 0.1593490183
Elliptic Integral of the First Kind: ellip(x)
K(x) = ∫( 1/ √(1 - x^2 * sin^2 t) dt, 0, π/2)
Example:
ellip(-0.6): 1.750753803
ellip(0.4): 1.639999866
Sine Integral: Si(x)
Si(x) = ∫( sin t / t dt, 0, x)
Example:
Si(1.8): 1.50581678
Si(6): 1.424687551
Beta Function: beta(a,b)
β(a, b) = (Γ(a) * Γ(b)) ÷ Γ(a+b)
Example:
beta(2,3): 1/12
beta(1.9,4.6): 0.04470413922 (approx)
Relativity Factor: relat(v)
factor = √(1 - v^2/c^2)
c = 299792458 m/s
v = velocity
Example:
relat(201E6): 0.7419422153 (approx)
Schwarzschild Radius: schwarz(m)
r = (2 * G * m)/c^2
G = 6.674E-11 m^3/(kg s^2)
c = 299792458 m/s
m = mass the black hole, kg
r = Schwarzschild Radius, m (event horizon)
Example:
schwarz(7.89E30): 11717.95418
Distance of a Drop: dropdist(v0,t)
v0: initial velocity, m/s
t: time, s
Calculated: distance, m
Example:
dropdist(15,5): 197.583125
Cycle of a Simple Pendulum: pendu(l)
l: length of a string, m
Calulated: time of the pendulum swing, s
Example:
pendu(5.5): 4.705446883
Impedance in LRC Series Circuit: lrcser(R,f,L,C)
R: resistance, Ω
f: frequency, Hz
L: inductance, H
C: capacity, F
Example:
lrcser(4,80,0.1,50E-6): 11.21437564
Impedance in LRC Parallel Circuit: lrcpar(R,f,L,C)
R: resistance, Ω
f: frequency, Hz
L: inductance, H
C: capacity, F
Example:
lrcpar(4,80,0.1,50E-6): 3.999122191
Source for:
Distance of a Drop
Cycle of a Simple Pendulum
Impedance in LRC Series Circuit
Impedance in LRC Parallel Circuit
Scientific Calculator 128 fx-1000F/fx-5000F Owner's Manual. Casio. Tokyo, Japan.
Download the file here: https://drive.google.com/file/d/1M54HlJ9dP95VBEmGzkUozGzJxKGpiHMh/view?usp=share_link
Eddie
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