Over the years, the author has done extensive research on many scientific areas, including music, astronomy, mathematics, programming, spectroscopy and optics, which you can see by reading these web pages.
Many people have used results from the author's web site at no cost and have linked to his pages in blogs, usenet forums, university forums and personal pages, which you can see by looking at the author's Reciprocal Links page. Doing a Google search on the author's full/last name, will reveal even more articles, as his Reciprocal Links page does not include all blogs or mirror usenet forums.
All the author's computer programs, (except the one the author is making a living with, Virtual Composer) have been free. All the author's mathematics results (except for papers for which the copyright has been transferred to the corresponding journals) have been free and the same holds for the author's research results in spectroscopy, astronomy and optics.
The author's web pages have been a FREE high quality scientific resource for over seven years.
The author does this research because of his love of science and not with money in mind. Unfortunately this research impinges on the author's free time, it costs money and the scientific equipment used/constructed is quite expensive.
Although the author works full time as a mathematics researcher and as a computer programmer, his income is hardly enough to support all the diverse areas of this research.
To help encourage this kind of research which is done with effort and money, if you are an educator, teacher, professor, school manager, or a lover of science in general, you are welcome to donate to guarantee that such high quality research continues and that these web-pages do not disappear into oblivion one day.
To make a donation securely via Kagi, click here.