## Alec Mihailovs

Dr. Aleksandrs Mihailovs

## 4470 Reputation

19 years, 273 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.

## Integers in RandomTools...

According to the help page ` ?RandomTools,integer` ,
• By default, the flavor integer describes a random integer in the range -499999999994 .. 499999999994, inclusive.
In reality, Maple produces only positive integers, in the range between 1 and 999999999989,
```t:=RandomTools:-Generate(list(integer,20));

t := [395718860534, 193139816415, 22424170465, 800187484459,

427552056869, 842622684442, 412286285840, 996417214180,

386408307450, 694607189265, 773012980023, 730616292946,

106507053657, 396412723003, 944913350029, 210936428922,
```

## Problems with CompSeq...

f:=proc() args end proc:
convert(f,CompSeq);

Error, (in convert/CompSeq) invalid subscript selector

g:=proc(n) if n=3 then true else false fi end:
convert(g,CompSeq);

Error, (in convert/CompSeq) invalid procedure. Can't convert to CompSeq

maplemint(`convert/CompSeq`);

## PointList constructor...

Maple
From time to time people ask on this site or elsewhere whether modules in Maple can be used the same way as objects in object oriented languages. The answer is yes and no. Yes - because OOP behavior can be simulated with modules - certainly not with full blown functionality, but still. No - because that is usually not the best way to do things in Maple. Here is an example of creating a type and an 'object' exploring it, with few 'methods'.

## Implementing MapleNet using AJAX...

The subject says it. SAGE notebooks implemented in AJAX, work great. The response time is much faster than current MapleNet. __________ Alec Mihailovs http://mihailovs.com/Alec/

## Integrals from ?inttrans[fourier]...

Answering to Definite Integral post, I tried to do the first example in ` ?inttrans[fourier]`,
```assume(a>0):
inttrans[fourier](3/(a^2 + t^2),t,w);

Pi (exp(a~ w) Heaviside(-w) + exp(-a~ w) Heaviside(w))
3 ------------------------------------------------------
a~```
using int,
```int(3/(a^2+t^2)*exp(-I*w*t),t=-infinity..infinity);

0```
No comment. Well, I tried another example from the same help page,
```inttrans[fourier](1/(4 - I*t)^(1/3),t,2+w);
```
 First 15 16 17 18 19 20 21 Page 17 of 23
﻿