fx5800p: Large Factorials, Length of Daylight, & Moments/Skewness
Large Factorials
This allows the user to calculate n! for any positive n, even n > 69.
Program BIGFACT
"N"?→N
Σ(log(K),K,1,N) → S
"N = "
10^(Frac(S)) ◢
"* 10^( )"
Int(S)
Examples:
36! ≈ 3.719933268 * 10^ 41
134! ≈ 1.992942746 * 10^ 228
Length of Daylight
D = days after March 21. A 365 day year is assumed.
Program DAYLIGHT
"DAYS AFTER"
"MARCH 21"? → D
Deg
23.45 * sin(D*.9856) → T
"LATITUDE"
"D ● M ● S ●"? → L // for ● press [ ° ' " ]
cos⁻¹ (tan(L) * tan(T) ) → A
2 * A / 15 → H
"HOURS="
H
Example:
D = 302 (January 17)
L = 40° N (+40°)
Result: H = 9.525548719 hours
D = 302 (January 17)
L = 40° S (40°)
Result H = 14.47445128
Moments/Skewness
Source: HP 33 Math Pak, 1979
Formulas:
1st Moment: A = Σx ÷ n
2nd Moment: B = Σ(x^2) ÷ n  A^2
3rd Moment: C = (Σ(x^3)  3 * A * Σ(x^2)) ÷ n + 2 * A^3
Coefficient of Skewness: D = C / B^1.5
Program MOMENTS
0 → N // Initialization
0 → U
0 → V
0 → W
Lbl 0 // Main Loop
N + 1 → N
U + X → U
V + X^2 → V
W + X^(3) → W
"NO. OF PTS."
N ◢
"ANOTHER PT.?" // are you done?
"0=NO 1=YES"
? → Y
Y ≠ 0 ⇒ Goto 0
U ÷ N → A // analysis
V ÷ N  A^2 → B
(W  3*A*V) ÷ N + 2 * A^(3) → C
C ÷ B^(1.5) → D
"1ST MOMENT"
A ◢
"2ND MOMENT"
B ◢
"3RD MOMENT"
C ◢
"SKEWNESS"
D
Example:
Data: 1.5, 2.8, 2.9, 3.6, 4.7
Results:
1st Moment = 3.1
2nd Moment = 1.1
3rd Moment = 0.018
4th Moment = 0.0156021151
See you all next time  have a great weekend! Go have some fun!
This blog is property of Edward Shore. 2015
A blog is that is all about mathematics and calculators, two of my passions in life.
Friday, January 16, 2015
fx5800p: Large Factorials, Length of Daylight, & Moments/Skewness
Subscribe to:
Post Comments (Atom)
Casio fx3650p and HP 21S: The Intersection Point of a Quadrilateral
Casio fx3650p and HP 21S: The Intersection Point of a Quadrilateral Introduction This program calculates the coordinates of the c...

Casio fx991EX Classwiz Review Casio FX991EX The next incarnation of the fx991 line of Casio calculators is the fx991 EX. ...

TI36X Pro Review This is a review of the TI36X Pro Calculator by Texas Instruments. History Originally, this was the TI30X Pro that w...

One of the missing features of the TI82/83/84 family is the ability to convert between bases. Here are two programs in TIBasic to help...
No comments:
Post a Comment