Alec Mihailovs

Dr. Aleksandrs Mihailovs

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20 years, 343 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.

MaplePrimes Activity


These are replies submitted by Alec Mihailovs

Among a series of other improvements that I would like to see, one of the most important, I think, would be a user's access to Maple's parser. In particular, I would like to be able to write a procedure allowing to process something like that:

Solve 2x^2+3x-5=0 using factorization, step-by-step, 

with the output looking like 

(x-1)(2x+5)=0

x-1=0 or 2x+5=0

x=1 or x=-2.5

That would have significant impact on using Maple for education purposes. 

Alec

PS Currently, it is possible in a maplet - but I would like to be able to do that in the worksheet -Alec

PPS Such things, in general, would significantly imrove the 2d-input in the Document mode. Currently, for solving quadratic equations, for example, students still have to type something like solve(2 x^2+3 x-5), including the parentheses (and multiplication signs, or spaces instead of them) that is quite far from a textbook, and they get only the answer in the output, without the solution steps.

Ideally, every developmental algebra textbook problem should be solved in the form it appears in the textbook (without parentheses and multiplication signs), and the output should give the solution (step-by-step) if desireable, and not just the answer -Alec

Why would you need Maple for that? Use Python,

>>> 8 & 25
8
>>> 8 | 25
25
>>> 8 ^ 25
17
>>> 8>>1
4
>>> 8<<1
16

Alec

 

Thanks. They look even better in SAGE that I use now instead of Maple. __________ Alec Mihailovs http://mihailovs.com/Alec/
Entering "style" caused problems at that time when I posted that. Somebody at that time suggested using "s_tyle" instead, with a following comment that it should be changed to "style" in Maple. Later a better solution was suggested (and this problem may don't exist now - I have no idea because I don't post here for a long time), but at that time I used that. Alec Mihailovs http://mihailovs.com/Alec/
Alex, While your way of expressing yourself seems inappropriate to me, I received one letter that found it intelligent. From my point of view, a better place for your posts would be in your blog and not in mine. Would that be possible for you to ask the site administrator to move your comments to your blog? __________ Alec Mihailovs http://mihailovs.com/Alec/
Axel, If I recall correctly, manifolds and differential geometry are a part of your specialty. Certainly, you are right, an orientation of the circle gives an isomorphism between the tangent bundle TS1 and the trivial bundle S1×R1 (that can be visualized as a rotation of tangent vectors on 90 degrees in the vertical direction), so one can look at the derivatives and antiderivatives from that point of view. It is not very productive though, because even, say, non-zero constants don't have a global continuous antiderivative on the circle (it would look like one of the pictures of impossible objects - with stairs going always up around the circle). That may explain the discontinuous antiderivatives given by Maple for (some) trigonometric integrals. __________ Alec Mihailovs http://mihailovs.com/Alec/
That is is problem,
is(sin(x+y)=0) assuming 2*sin(x)*cos(y)+2*cos(x)*sin(y)=0;
 
                                 FAIL
I could write a patch, but that doesn't seem to have much sense at the moment, because is might be rewritten in Maple 11. __________ Alec Mihailovs http://mihailovs.com/Alec/
That is is problem,
is(sin(x+y)=0) assuming 2*sin(x)*cos(y)+2*cos(x)*sin(y)=0;
 
                                 FAIL
I could write a patch, but that doesn't seem to have much sense at the moment, because is might be rewritten in Maple 11. __________ Alec Mihailovs http://mihailovs.com/Alec/
Everybody is glad to help a new Maplesoft owner. __________ Alec Mihailovs http://mihailovs.com/Alec/
__________ Alec Mihailovs http://mihailovs.com/Alec/
Yes, David W. Cantrell pointed out to me the 11th article from the bottom, joint with A.D. Rich. The 10th article from the bottom (without A.D. Rich) is very close to that. It seems that they described a working solution for trigonometric integrals. I wonder why it was not implemented in Maple. As we know, A.D. Rich implemented it in Derive. __________ Alec Mihailovs http://mihailovs.com/Alec/
Another option is to type them in advance, and when you need them, copy and paste. Then, selecting first %?, you can enter the value and move to the further values by pressing Tab key, as usual. __________ Alec Mihailovs http://mihailovs.com/Alec/
Another option is to type them in advance, and when you need them, copy and paste. Then, selecting first %?, you can enter the value and move to the further values by pressing Tab key, as usual. __________ Alec Mihailovs http://mihailovs.com/Alec/
Then it is, probably, easier to enter a Matrix without using a palette. __________ Alec Mihailovs http://mihailovs.com/Alec/
Then it is, probably, easier to enter a Matrix without using a palette. __________ Alec Mihailovs http://mihailovs.com/Alec/
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