[VA] SRC#003- New Year 2019 Special
01-15-2019, 10:42 PM
Post: #1
 Valentin Albillo Senior Member Posts: 815 Joined: Feb 2015
[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.

V.
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All My Articles & other Materials here:  Valentin Albillo's HP Collection

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 Messages In This Thread [VA] SRC#003- New Year 2019 Special - Valentin Albillo - 01-15-2019 10:42 PM RE: [VA] SRC#003- New Year 2019 Special - Paul Dale - 01-16-2019, 03:51 AM RE: [VA] SRC#003- New Year 2019 Special - Carsen - 01-16-2019, 03:57 AM RE: [VA] SRC#003- New Year 2019 Special - Thomas Okken - 01-16-2019, 04:24 AM RE: [VA] SRC#003- New Year 2019 Special - Thomas Klemm - 01-16-2019, 09:33 AM RE: [VA] SRC#003- New Year 2019 Special - Thomas Klemm - 01-16-2019, 09:50 AM RE: [VA] SRC#003- New Year 2019 Special - DavidM - 01-17-2019, 06:04 PM RE: [VA] SRC#003- New Year 2019 Special - Thomas Klemm - 01-18-2019, 05:04 AM RE: [VA] SRC#003- New Year 2019 Special - DavidM - 01-18-2019, 07:15 PM RE: [VA] SRC#003- New Year 2019 Special - Thomas Klemm - 01-18-2019, 05:44 PM RE: [VA] SRC#003- New Year 2019 Special - Thomas Klemm - 01-18-2019, 08:28 PM RE: [VA] SRC#003- New Year 2019 Special - Thomas Klemm - 01-20-2019, 11:33 AM RE: [VA] SRC#003- New Year 2019 Special - Thomas Klemm - 01-20-2019, 06:13 PM RE: [VA] SRC#003- New Year 2019 Special - Valentin Albillo - 01-20-2019, 07:40 PM RE: [VA] SRC#003- New Year 2019 Special - Albert Chan - 02-09-2019, 01:55 AM RE: [VA] SRC#003- New Year 2019 Special - Albert Chan - 01-20-2019, 09:28 PM RE: [VA] SRC#003- New Year 2019 Special - Valentin Albillo - 01-27-2019, 09:38 PM RE: [VA] SRC#003- New Year 2019 Special - pier4r - 01-28-2019, 11:56 AM RE: [VA] SRC#003- New Year 2019 Special - Albert Chan - 01-28-2019, 12:46 PM RE: [VA] SRC#003- New Year 2019 Special - pier4r - 01-28-2019, 07:34 PM RE: [VA] SRC#003- New Year 2019 Special - Thomas Klemm - 01-28-2019, 05:40 PM RE: [VA] SRC#003- New Year 2019 Special - Thomas Klemm - 01-28-2019, 06:17 PM RE: [VA] SRC#003- New Year 2019 Special - rprosperi - 01-28-2019, 11:43 PM RE: [VA] SRC#003- New Year 2019 Special - Thomas Klemm - 01-28-2019, 11:59 PM RE: [VA] SRC#003- New Year 2019 Special - rprosperi - 01-29-2019, 02:04 AM RE: [VA] SRC#003- New Year 2019 Special - Albert Chan - 02-08-2019, 06:46 PM RE: [VA] SRC#003- New Year 2019 Special - Albert Chan - 02-08-2019, 09:36 PM

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