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[VA] SRC#003- New Year 2019 Special
01-15-2019, 10:42 PM
Post: #1
[VA] SRC#003- New Year 2019 Special
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Hi, all:

Welcome to my brand new SRC#003, this time commemorating the New Year 2019.

There will be some (hopefully) interesting things discussed here but first of all there's a simple assignment for you to tackle with your preferred HP calculator (not Excel, Matlab, Mathematica, Python, Java, Haskell, Wolfram Alpha, etc., there are other forums/threads for that), namely:

Write a program which implements the following procedure:

1) Create this 3x3 matrix M:

          |   \(\pi\)   2019  2019   |
   M =    |   1     \(\pi\)   2019   |
          |   1     1     \(\pi\)    |


2) Compute the successive powers of M (i.e: M2, M3, etc.) and for each power n compute the value of Mn(1,3) / Mn(2,3) until it converges to some limit.

What is the numerical value of this limit ?   What do you think this procedure is actually computing ?

You can use any HP calculator of your choice (Minimum Recommended Model would be the HP-11C or better) but, again, write your code only in RPN, RPL or 71-BASIC, please, and it would be better if you don't peruse the Internet, just your programming skills and math intuition.

In a few days I'll give a 5-line, 144-byte program for the HP-71B (easiest code to understand), plus extensive comments and further discussion.

Meanwhile, let's see what you come up with. Smile

V.
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Find All My HP-related Materials here:  Valentin Albillo's HP Collection
 
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[VA] SRC#003- New Year 2019 Special - Valentin Albillo - 01-15-2019 10:42 PM



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