Mathematics
Regarding Mathematics research as a hobby, I mainly occupy myself with elementary stuff, trying to totally get to the bottom of things.
One example of this kind would be a rather easy to remember Square Root Approximation, which allows you to estimate square roots without the use of a calculator. And if you don't need high precision, you can even complete whole calculations with it. This is especially useful for people in the building industry, where sometimes additional calculations might be necessary, and they often contain square roots - mostly related to right triangles.
Though some of what I like about Mathematics is of rather abstract nature and thus not necessarily useful in reality - for example research in direct or indirect attributes of prime numbers, which is part of Number Theory.
I also want to say that most of what you can find here originates from my (virtual) pen, usually without any help from others, because unresearched as well as barely researched areas in Mathematics pique my interest most of all. Some exceptions are especially marked examples and some interesting formulas. Some articles were created with the help of others, which of course is being mentioned wherever this is actually the case.
One example of this kind would be a rather easy to remember Square Root Approximation, which allows you to estimate square roots without the use of a calculator. And if you don't need high precision, you can even complete whole calculations with it. This is especially useful for people in the building industry, where sometimes additional calculations might be necessary, and they often contain square roots - mostly related to right triangles.
Though some of what I like about Mathematics is of rather abstract nature and thus not necessarily useful in reality - for example research in direct or indirect attributes of prime numbers, which is part of Number Theory.
I also want to say that most of what you can find here originates from my (virtual) pen, usually without any help from others, because unresearched as well as barely researched areas in Mathematics pique my interest most of all. Some exceptions are especially marked examples and some interesting formulas. Some articles were created with the help of others, which of course is being mentioned wherever this is actually the case.
Re-use of the material found here
Everything found here can of course be re-used. You do not require explicit permission by me, as long as my website is being referenced.
And it's always nice to know where my articles are being used, or who regards them as being helpful. :-)
And it's always nice to know where my articles are being used, or who regards them as being helpful. :-)