Alec Mihailovs

Dr. Aleksandrs Mihailovs

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20 years, 342 days
Mihailovs, Inc.
Owner, President, and CEO
Tyngsboro, Massachusetts, United States

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I received my Ph.D. from the University of Pennsylvania in 1998 and I have been teaching since then at SUNY Oneonta for 1 year, at Shepherd University for 5 years, at Tennessee Tech for 2 years, at Lane College for 1 year, and this year I taught at the University of Massachusetts Lowell. My research interests include Representation Theory and Combinatorics.

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These are replies submitted by Alec Mihailovs

Well, you can do something like
Del(U,convert(A,list));
That doesn't give a nice looking expression though. __________ Alec Mihailovs http://mihailovs.com/Alec/
Well, you can do something like
Del(U,convert(A,list));
That doesn't give a nice looking expression though. __________ Alec Mihailovs http://mihailovs.com/Alec/
That's interesting. You also get different output in the Getting output to look exactly as I want it thread. I am using Maple 10.06 on Windows XP. Perhaps, you are using a different Maple version, or on a different system? By the way, when I downloaded your worksheet and executed it, it looked normal in both cases - as in the screenshot that I posted. From the other hand, it didn't look normal in both cases on the MapleNet. __________ Alec Mihailovs http://mihailovs.com/Alec/
That's interesting. You also get different output in the Getting output to look exactly as I want it thread. I am using Maple 10.06 on Windows XP. Perhaps, you are using a different Maple version, or on a different system? By the way, when I downloaded your worksheet and executed it, it looked normal in both cases - as in the screenshot that I posted. From the other hand, it didn't look normal in both cases on the MapleNet. __________ Alec Mihailovs http://mihailovs.com/Alec/
Well, that's why I wrote "approximate" and "expected". It is certainly a challenging problem and it is not very easy. It may be not possible to write a procedure giving a correct answer in all cases. However, it is possible to collect statistics for random systems and do the extrapolation. Say, if we run 100 random systems of 6 polynomial equations with, say, 8 variables and 20 terms total, with some fixed degrees, maybe, we can calculate the mean time of calculating for one system and the standard deviation. Then, we can do the same for 100 random systems of 5 polynomial equations with ... etc. After collecting the data, it can be extrapolated. It may be an interesting research project. The distribution, probably, normal (in some sense) so the mean time and the standard deviation would give a good idea about the possible length of calculation - that would be quite useful in many cases. __________ Alec Mihailovs http://mihailovs.com/Alec/
Well, that's why I wrote "approximate" and "expected". It is certainly a challenging problem and it is not very easy. It may be not possible to write a procedure giving a correct answer in all cases. However, it is possible to collect statistics for random systems and do the extrapolation. Say, if we run 100 random systems of 6 polynomial equations with, say, 8 variables and 20 terms total, with some fixed degrees, maybe, we can calculate the mean time of calculating for one system and the standard deviation. Then, we can do the same for 100 random systems of 5 polynomial equations with ... etc. After collecting the data, it can be extrapolated. It may be an interesting research project. The distribution, probably, normal (in some sense) so the mean time and the standard deviation would give a good idea about the possible length of calculation - that would be quite useful in many cases. __________ Alec Mihailovs http://mihailovs.com/Alec/
Just tried (by copying and pasting from here). Maybe, there is a difference, but I don't see it. __________ Alec Mihailovs http://mihailovs.com/Alec/
Just tried (by copying and pasting from here). Maybe, there is a difference, but I don't see it. __________ Alec Mihailovs http://mihailovs.com/Alec/
That's not the same. While Maple have no knowledge about the outside world and can't control it, the procedure for determining an approximate expected time of some long calculation, theoretically speaking, can be written, and in many situations would be quite useful. Something looking like the picture that we see downloading large files. Knowing that Maple was developed for more than 20 years, one can expect that such a procedure has been already written. I think, that was a good question. __________ Alec Mihailovs http://mihailovs.com/Alec/
That's not the same. While Maple have no knowledge about the outside world and can't control it, the procedure for determining an approximate expected time of some long calculation, theoretically speaking, can be written, and in many situations would be quite useful. Something looking like the picture that we see downloading large files. Knowing that Maple was developed for more than 20 years, one can expect that such a procedure has been already written. I think, that was a good question. __________ Alec Mihailovs http://mihailovs.com/Alec/
J. Tarr, I just found Joe Riel's comment in the Making vector symbols with maple 10 thread. It is definitely worth reading. I don't know if you mislead the original poster, but you definitely mislead me when you wrote "Please try searching on "vector symbols"". I had no idea that you meant searching this site. Otherwise I would find Joe Riel's comment and made a link to it in my post. By the way, why did you advise searching instead of posting a link? Joe Riel's procedure includes quotes to cover some complicated cases. For single characters the quotes are not necessary. __________ Alec Mihailovs http://mihailovs.com/Alec/
J. Tarr, I just found Joe Riel's comment in the Making vector symbols with maple 10 thread. It is definitely worth reading. I don't know if you mislead the original poster, but you definitely mislead me when you wrote "Please try searching on "vector symbols"". I had no idea that you meant searching this site. Otherwise I would find Joe Riel's comment and made a link to it in my post. By the way, why did you advise searching instead of posting a link? Joe Riel's procedure includes quotes to cover some complicated cases. For single characters the quotes are not necessary. __________ Alec Mihailovs http://mihailovs.com/Alec/
It was a typo in the first example. It should be
int(1/(2+cos(x)),x)
I just corrected it. The int in Maple is not Riemann and not Lebesgue, it's "Maple". Look at the following,
int(Dirac(x),x=-infinity..0);
                                 1/2
In the second example, the answer that I would like to see would be (for the integral from -2 to 0)
1+exp(-2)+sin(-2)-2*(exp(RootOf(exp(_Z)+cos(_Z),-2..0))+
sin(RootOf(exp(_Z)+cos(_Z),-2..0)));

         1+exp(-2)+sin(-2)-2*(exp(RootOf(exp(_Z)+cos(_Z),-2..0))+
sin(RootOf(exp(_Z)+cos(_Z),-2..0)));
or, maybe,
1+exp(-2)+sin(-2)-2*(exp(RootOf(exp(_Z)+cos(_Z),-1.746139530))+
sin(RootOf(exp(_Z)+cos(_Z),-1.746139530)));

         1+exp(-2)+sin(-2)-2*(exp(RootOf(exp(_Z)+cos(_Z),-1.746139530))+
sin(RootOf(exp(_Z)+cos(_Z),-1.746139530)));
__________ Alec Mihailovs http://mihailovs.com/Alec/
Will, Thank you. It looks much nicer. I planned to change the output to 2d, because, as you said, it looks much more attractive. I did that few times earlier in other posts. Recently I started to post more with plain copying and pasting (and started to make more typos) just because I was slightly pressured by time. Also, I planned to include 2 or 3 plots in the middle of the text. I'll do that later. Thanks again, Alec
In classic Maple the only other way is to draw the axis manually, as in How to control the thickness of axes and tickmarks thread. __________ Alec Mihailovs http://mihailovs.com/Alec/
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