## Alec Mihailovs

Dr. Aleksandrs Mihailovs

## 4470 Reputation

19 years, 323 days
Mihailovs, Inc.
Owner, President, and CEO
Tyngsboro, Massachusetts, United States

## Social Networks and Content at Maplesoft.com

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.

## ShowSteps...

Usually no. The notable exception is ShowSteps command in Student:-Calculus1 package. Try, for example, with(Student:-Calculus1): infolevel[Student:-Calculus1]:=1: J:=Int(1/(1+x^4),x): while not Hint(%)=[] do J:=Rule[Hint(%)](J) od; ShowSteps();

## surd...

The following works, with(Student[Calculus1]): InflectionPoints(surd(x^5,3)-5*surd(x^2,3)); [-1]

## A simpler way...

```f:=sin(t)*x*(1-x):
g:=cos(t)*x*(1-x):
plots[animate](plot,[[f,g],x=0..1],t=0..2*Pi);```

## Using And and Not in types...

Types use a slightly different grammar,
```type(x,And(symbol,Not(constant)));
true

evalb(x::And(symbol,Not(constant)));
true```
Alec Mihailovs http://math.tntech.edu/alec/

## _EnvAllSolutions:=true...

If one wants to get all solutions, it can be achieved by setting _EnvAllSolutions:=true: In this example, that gives solve(sin(x)=sin(1/x)); 12⁢2⁢π⁢_Z2~+π⁢_B2~+4⁢π2⁢_Z2~2+4⁢π2⁢_Z2~⁢_B2~+π2⁢_B2~2+4-8⁢_B2~-1+2⁢_B2~, -12⁢-2⁢π⁢_Z2~-π⁢_B2~+4⁢π2⁢_Z2~2+4⁢π2⁢_Z2~⁢_B2~+π2⁢_B2~2+4-8⁢_B2~-1+2⁢_B2~
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