How to: relax and motivate

There exist several methods,  to reach  a deep state of relaxation for body and mind.  Yoga  and Autogenic Training for instance teach such methods.

But quite some training is needed, to master these methods and many people are not patient enough  to train these methods.

A very efficient and easy to use method is a combination of brainwave entrainment, hypnosis and visualization method, which is called

        audio / visual brainwave entrainment

Many explanations about this method are given on the website:

       http://www.transparentcorp.com/products/np/index.php

They offer a software program, with which this method can be applied. A headphone is recommendable for its use.

A free trial verions can be used for 2 weeks

The software  is called Neuro Programmer 3, the regular version costs 60 US and the Ultimate Editon 90 US.

This is a very good price for this excellent tool, to relax and reprogram oneself.

After one has experienced, how a state of deep relaxation feels, it should be also much easier, to reach it, using Yoga or Autogenic Training.

To relax once per day or more oftenly is an excellent method to counteract stress and avoid the burn out syndrom. Using these methods,   the motivation gets stronger and therefore  it  is  much easier to study or master some difficulty skills.

It is also possible, to experience altered states of mind, like they are experienced after many years of training of meditation, using a special collection of soundtracks ( 3 hours sound ), which is called "Beyond Being".     It costs 50 US.


This one I did not yet check myself,   but I use the other methods and can confirm, that they really work very well.

Use the trial version and check yourself, if these methods help you.

How to: solve the sales man problem

The sales man problem is a famous problem in applied mathematics.

The task is easy to define:
A salesman shall visit all the customers in his territory, using the shortest travel path.

With only a few customers, this is not such a big problem, but with more than 30, it gets already difficulty and with much more, it may  not be solvable with the most powerful computers.

But for practical applications, one can use the following simple method, to find an acceptable solution:

• Look at your territory and mark the center of the distribution of your customers
• Around this center draw circles with radiuses, which increase.
• Divide all circles in 6 sections.
• Start in the center and cover all customers in one section, when you reach the customer  at the last circle,  go to the next section and then go backwards to the center.
• Repeat this procedure for all sections.

That procedure will not give the shortest possible travel path, but a reasonable short one.

The same method can be applied to similar problems, at which some points have to be connected, using the shortest connection path like:

• electrical cabling
• location of production facilities or distibution centers
• emergency centers