Sergey Moiseev

## 398 Reputation

15 years, 57 days
Sergey N. Moiseev received M.S., Ph.D. and Dr.Sc. degrees in radio physics from the Voronezh State University, Voronezh, Russia in 1986, 1993 and 2003, respectively. From 1984 to 2003 the topics of his research have included theory and methods of signal processing, nonlinear optimization, decision-making theory, time series prediction, statistical radio physics, ionosphere sporadic channel models. He is currently a principal scientist in the JSC Kodofon, Voronezh, Russia. His current research interests are wide spread in the area of the communications.

## Why global optimization ?...

It is very challenging optimization task with 256 variables.

The hirnyk solution was interrupted due to the limiting number of function evaluations (2000 for each particular search of GlobalSearch command). But why Global optimization ? It is very time consumed. I try local optimizer Search from DirectSearch package and obtain Obj~10^(-24); equality are bad though and the limiting number of function evaluations (10000) also is reached.  You can set evaluationlimit=500000 and run Search for night or even more.

## Normal cdf...

```with(Statistics):
CDF(Normal(m,sigma),x);```

Or, if you want Phi(x,m,sigma):

```with(Statistics):
Phi:=unapply(CDF(Normal(m,sigma),x),x,m,sigma);```

Or, if you want Phi(x) (m=0,sigma=1):

```with(Statistics):
Phi:=unapply(CDF(Normal(0,1),x),x);```

## Array comparison...

with(ArrayTools):

A1:=Array([1,2,3,4,5,6,7]);
A2:=Array([1,2,3.3,4.4,5.5,6.0,7.0]);  # two Arrays

d1:=A1-~A1;
d2:=A2-~A1;  #differences between two Arrays

IsZero(d1);
IsZero(d2);  # if true then Arrays have equal elements

## Statistics:-Count...

Statistics:-Count command computes the size of one-dimensional Array, Vector and list.

`with(Statistics):Count([1,2,3,4]);Count(<1,2,3,4>);Count(Array([1,2,3,4]));`

## Orthogonal expansions package...

Axel,

Thank you.

I'm sorry, but I have not package variant for Classical interface. Because Maple actually does't  support Classical inerface it seems Standard interface has not alternatives.

The package was written on Maple 12; from Maple 13 there are some 3d plot option such as "color='variable name'",  "plotlist" and "viewpoint=circleleft". If you remove these options all must be okey, I hope.

## GramSchmidtL2 command...

There is package "The orthogonal series expansions package for Maple" in Application centre.

This package have command GramSchmidtL2() for orthonormalization of uni- and multi-variable functions.

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