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Re: A Mathematical Emergency.
Now that I know how to put up "Smilies", my next challenge is to learn how to post equations in LaTex, but that will take a little more time so please be patient.
I honestly don't find equations written in LaTex "easier to read", but that's just me. Therefore, I will indeed learn to post in LaTex for the sake of those who require it, because I really do want everyone to understand the incredible, important and irrefutable result in post #75, which pretty much "sums up" this entire topic.
You know, I spent over three years in Japan, mostly in Osaka, and was very, very impressed by the overall intelligence of the Japenese people.
Their students study much harder and more diligently than their American counterparts, and from what I have seen first hand, when it comes to math and science, it's simply "no contest".
LaTex or no LaTex, my guess is that what I said in post #75 will be understood by Japenese teachers and students long before it is understood by teachers and students in the United States.
Don.
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