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+--- Thread: New Blog Entry: Fun with the HP 12C (/thread-2329.html)
New Blog Entry: Fun with the HP 12C - Eddie W. Shore - 10-24-2014 03:41 AM
http://edspi31415.blogspot.com/2014/10/fun-with-hp-12c.html
RE: New Blog Entry: Fun with the HP 12C - Gene - 10-24-2014 05:03 PM
Great entry Eddie! Love to see the 12c working in all sorts of areas.
Consider sharing on your blog some of the game programs for the 12c found here too.
12c document
RE: New Blog Entry: Fun with the HP 12C - Thomas Klemm - 10-25-2014 04:05 PM
More fun with the HP-12C: HP-12C’s Serendipitous Solver
RE: New Blog Entry: Fun with the HP 12C - d b - 10-25-2014 04:15 PM
Valentin doesn't even need to sign his work. Tanquam ex ungue leonem.
RE: New Blog Entry: Fun with the HP 12C - Eddie W. Shore - 10-28-2014 02:06 AM
Here is part II:
http://edspi31415.blogspot.com/2014/10/more-fun-with-hp-12c-sine-cosine-error.html
RE: New Blog Entry: Fun with the HP 12C - Jeff_Kearns - 10-28-2014 02:42 AM
Tried and True Trigonometrics
RE: New Blog Entry: Fun with the HP 12C - Eddie W. Shore - 10-28-2014 03:41 AM
Thank you so much guys! My next blog entry is a compilation featuring the three links suggested and two more: HP 12C Games and Black-Scholes.
Link: http://edspi31415.blogspot.com/2014/10/hp-12c-games-its-history-and-solver.html
RE: New Blog Entry: Fun with the HP 12C - Thomas Klemm - 10-28-2014 04:45 AM
Combining both of Valentin's ideas we can define the Taylor series of sin:
0 CF0
1 CFj
x<>y CFj x<>y
2 CHS ÷ 3 ÷ CFj
x<>y CFj x<>y
4 CHS ÷ 5 ÷ CFj
x<>y CFj x<>y
6 CHS ÷ 7 ÷ CFj
(...)
x<>y CFj x<>y
12 CHS ÷ 13 ÷ CFj
Then we can use this short program to calculate sin(x):
Code:
1/x
1
x<>y
Δ%
STO i
NPVCheers
Thomas
RE: New Blog Entry: Fun with the HP 12C - Jeff_Kearns - 10-28-2014 10:31 PM
(10-28-2014 04:45 AM)Thomas Klemm Wrote: Then we can use this short program to calculate sin(x):
Code:
1/x
1
x<>y
Δ%
STO i
NPV
Thomas - There must be something missing in your code... It sure doesn't work for me, either by entering the angle in degrees or radians.
Jeff K
RE: New Blog Entry: Fun with the HP 12C - Thomas Klemm - 10-29-2014 12:42 AM
This is another way to enter the coefficients:
0 CF0
1 CFj
0 CFj
3 n! 1/x CHS CFj
0 CFj
5 n! 1/x CFj
0 CFj
7 n! 1/x CHS CFj
0 CFj
9 n! 1/x CFj
0 CFj
11 n! 1/x CHS CFj
0 CFj
13 n! 1/x CFj
You can use RCL CFj to check your entries. The index n will go down from 13 to 0. Just make sure to set n to 13 again!
This is the program as numeric codes:
Code:
01- 22
02- 1
03- 34
04- 24
05- 44 12
06- 42 13These are some examples:
0.1 R/S
0.09983341665
0.2 R/S
0.1986693308
1 R/S
0.8414709848
3.141592654 ENTER 6 ÷
0.5235987757
R/S
0.5000000000
HTH
Thomas
PS: All angles are in radians.
Edit: Added a Nonpareil state file.
RE: New Blog Entry: Fun with the HP 12C - Thomas Klemm - 10-31-2014 09:31 PM
With this program the function sin-1 can be calculated. Just use the same entries for the coefficients as before for sin.
Code:
01- 16 CHS
02- 44 0 STO 0
03- 42 15 IRR
04- 1 1
05- 34 x<>y
06- 25 %
07- 40 +
08- 22 1/xExamples:
0.1 R/S
0.1001674212
0.2 R/S
0.2013579208
0.5 R/S
0.5235987756
6 ×
3.141592654
0.5 √x
0.7071067812
R/S
0.7853981632
4 ×
3.141592653
Cheers
Thomas