Over the years, the author has tried to do extensive research on many scientific areas 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 Links section.
All the author's products (except for papers for which the copyright has been transferred to the corresponding journals) have been free.
The author's web pages have been a free scientific resource for over ten years.
This research impinges on the author's free time, costs money and the scientific equipment used/constructed is expensive.
If you are an educator, teacher, professor, school manager, or a lover of science in general, you are welcome to donate whatever you think is appropriate to help ensure that such research continues.
It's never a bad idea to donate to the author of these pages. If science of the highest level is not rewarded financially, don't expect your work, whatever it is, to be financially rewarded, either.
You can make a donation securely via Kagi, or click on the PayPal donation button, below.