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Alec Mihailovs

Dr. Aleksandrs Mihailovs

4495 Reputation

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20 years, 336 days
Mihailovs, Inc.
Owner, President, and CEO
Tyngsboro, Massachusetts, United States

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Contact Dr. Aleksandrs Mihailovs

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

Sound...

Alec Mihailovs 4495
December 02 2005
Phone is a kind of outdated technology. I wonder why the audio portion can't be established through the computer as well. Something like Netmeeting would do that without problems.

Correct answer...

Alec Mihailovs 4495
November 30 2005
For the record, here is the result of the input suggested by Roman Pearce in sci.math.symbolic, 
Magma("Q:=GaloisField(35098201); P<x,y>:=PolynomialRing(Q,2); 
I:=ideal<P| y + (1+x^5+x^10), x^34 +1 >; Groebner(I: Al:=\"Walk\"); I;");

  "-------------------------------------

        Ideal of Polynomial ring of rank 2 over GF(35098201)
        Lexicographical Order
        Variables: x, y
        Dimension 0
        Groebner basis:
        [
            x + 33784728*y^33 + 15744019*y^32 + 14466235*y^31 + 14\
        937582*y^30 +
                9988153*y^29 + 24849537*y^28 + 13827463*y^27 + 108\
        51940*y^26 +
                25333828*y^25 + 29238403*y^24 + 35087366*y^23 + 31\
        85785*y^22 +
                12125255*y^21 + 11305600*y^20 + 713800*y^19 + 1188\
        2241*y^18 +
                23388419*y^17 + 12677392*y^16 + 20159861*y^15 + 31\
        143912*y^14 +
                33062327*y^13 + 11580433*y^12 + 10629964*y^11 + 14\
        094725*y^10 +
                12235446*y^9 + 20913610*y^8 + 23355486*y^7 + 34436\
        076*y^6 + 35026862*y^5
                + 12351747*y^4 + 6022820*y^3 + 34537573*y^2 + 9514\
        380*y + 16409093,
            y^34 + 34*y^33 + 561*y^32 + 5984*y^31 + 46376*y^30 + 2\
        78256*y^29 +
                1344904*y^28 + 5379616*y^27 + 18156204*y^26 + 1735\
        3055*y^25 +
                25833537*y^24 + 5312152*y^23 + 21881025*y^22 + 154\
        30534*y^21 +
                23145801*y^20 + 30861068*y^19 + 27872968*y^18 + 17\
        124952*y^17 +
                27873223*y^16 + 30858484*y^15 + 23140973*y^14 + 15\
        452362*y^13 +
                21951303*y^12 + 5362540*y^11 + 25762851*y^10 + 171\
        83633*y^9 +
                18014271*y^8 + 5332492*y^7 + 1357246*y^6 + 297330*\
        y^5 + 54791*y^4 +
                7854*y^3 + 748*y^2 + 34*y + 1
        ]

        "

Post it in sci.math.symbolic...

Alec Mihailovs 4495
November 30 2005
Roman, You should post that in sci.math.symbolic, too, as a reply to Dave Rusin's post (including last Maple's output). Alec

Found...

Alec Mihailovs 4495
November 28 2005
  • The string 122282 was found at position 1,673,020 counting from the first digit after the decimal point. The 3. is not counted.
  • The string 12221982 was found at position 43,406,818 counting from the first digit after the decimal point. The 3. is not counted.
See http://www.angio.net/pi/piquery

An example...

Alec Mihailovs 4495
November 21 2005
0 0
It should be clear from the following example, 
Array((1..2)$2,()->[args]);
                          [[1, 1]    [1, 2]]
                          [                ]
                          [[2, 1]    [2, 2]]

An example...

Alec Mihailovs 4495
November 21 2005
It should be clear from the following example, 
Array((1..2)$2,()->[args]);
                          [[1, 1]    [1, 2]]
                          [                ]
                          [[2, 1]    [2, 2]]

A question...

Alec Mihailovs 4495
November 21 2005
Another question is - are you Richard or James Michael?

God...

Alec Mihailovs 4495
November 17 2005
0 0
God would be the best choise.

God...

Alec Mihailovs 4495
November 17 2005
God would be the best choise.

Minimize...

Alec Mihailovs 4495
November 14 2005 
minimize(f,x=2..5);
                           1/2 2        1/2   1/2
                    ((2 + 2   )  - 2 + 2   ) 2
                    -----------------------------
                                  2

expand(%);

                                 1/2
                              2 2    + 5

evalf(%);

                             7.828427124

Re...

Alec Mihailovs 4495
November 14 2005
The error is in Re, 
Re(Psi(2,2+2*I));
                           Psi(2, 2 + 2 I)
that is wrong. Maple 9.5 gives the correct answer, 
Re(Psi(2,2+2*I));
                         Re(Psi(2, 2 + 2 I))

So...

Alec Mihailovs 4495
November 14 2005
So what? h is still not reassigned - it points to g. Doesn't matter what g is assigned to, h should point to it.

ExtremePoints...

Alec Mihailovs 4495
November 14 2005 
f:=(x^2+x-4)/(x-2):

plot(f,x=-4..6,y=-2..10,discont=true); 

Student:-Calculus1:-ExtremePoints(f,x);

                               1/2       1/2
                         [2 - 2   , 2 + 2   ]

g is reassigned, but h is not...

Alec Mihailovs 4495
November 14 2005
In the original post, g is reassigned, but h is not. h is still assigned to g (as a name, and not value). I don't see a bug here - it is expected behavior. Your example here represent a different situation than in the original post.

The definition of h...

Alec Mihailovs 4495
November 14 2005
You have h:=g. Thus, every change in g makes a change in h.
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