"Sustainability Revisted"
Jim
Great to see a response from Ed Turner. I never worked with him directly but wish I had.
The Prattville Mill is restarting #1 paper machine (Kraft liner) after a lack of order shutdown over the holidays. And they announced a $40 million recovery rebuild. Both are good news for the community and the mill.
Have you seen the motivational DVD from the Seattle Fish Market? It's short and to the point about success with customer service. We saw it in school this week and it was special.
You travel safe now you hear?
Gene Canavan
Pratville, Alabama, USA
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Gene:
Any capital spending is good news these days for engineers and capital equipment providers, but I don't know if it is good for the business overall.
Jim
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Hey, Jim.
I get 998,901.
1 has one shared square and cube (1 number); 2 through 100 have discrete squares and cubes (198 numbers); and 101-1000 have only squares equal to or less than 1,000,000 (900 numbers) for a total of 1099. For the sake of time, I have not checked to see if any of the squares are duplicates of any of the cubes.
Best regards,
Dale St. Peter
Domtar
Port Huron, Michigan, USA
***
Jim,
1,000,000 is equal to 1,000 squared. Therefore, there are 1,000 perfect squares from 1 to 1,000,000. 1,000,000 is also equal to 100 cubed. Therefore, there are 100 perfect cubes from 1 to 1,000,000. HOWEVER, there are 10 numbers from 1 to 1,000,000 that are BOTH perfect squares and perfect cubes (1, 64, 729, 4096, 15625, 46656, 117649, 262144, 531441, and 1,000,000). Therefore, there are 998910 (1,000,000 - 1,000 - 100 +10) numbers from 1 to 1,000,000 that are neither perfect squares nor perfect cubes.
Steven J. Moore
Director of Manufacturing
Wausau Paper Corp.
Rhinelander, Wisconsin, USA
***
Riddle answer - 998910
Todd Varner
Jacobs Engineering
Greenville, South Carolina, USA
***
Hi, Jim.
I believe the answer is 998,910. 1 has one shared square and cube (1 number); 2 through 100 have discrete squares and cubes (198 numbers); and 101-1000 have only squares equal to or less than 1,000,000 (900 numbers) for a total of 1099. From this we have to subtract the squares of the cubes of the numbers 2 through 10 which are duplicated in these totals, bringing our total of unique numbers that are squares, cubes, or both to 1090.
Best regards,
Dale St. Peter
Domtar
Port Huron, Michigan, USA
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Now you're cookin', Dale.
***
Jim:
I am fully retired from the pulp & paper industry at this point in my life. It is only very periferally that I am involved now in the industry. I am a member of the national steering committee of 25x'25: America's Energy Future (www.25x25.org) and we have some issues that involve both AF&PA and SAF regarding cellulosic biofuels that bring me into contact.
I very much appreciate that you have continued to send my your newsletters for all these years. However, I would now suggest that you can remove my name from your distribution lists...
The industry treated me well for the 46 years in which I was an active player. It is now time for me to move on to other things.
I much admire the great contributions you have and still are providing to the industry.
Best regards,
Bruce Arnold
West Chester, Pennsylvania, USA
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Thanks, Bruce. You have done a fine job yourself!
Jim
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