Category Archives: Mathematics

At the root of all science is mathematics, the language of the cosmos.

Citizen Science Musings: Remembering Grace Hopper

Today (Sunday) is the 107th birthday of computer pioneer Grace Hopper, who did most of her ground-breaking work while part of the US Navy Reserve. Continue reading…

Posted in Citizen Science Musings, Computer Science, Electronics, History of Science, Mathematics, Navy Stories, Programming, Software | 1 Comment

Two New Mathematical Theorems Relating to the Factorial Content of Certain Integers

For any given odd integer that does not contain the integer 5 as a factor, there exists an infinite number of integers (consisting only of digit 9’s, e.g., 999999…) which contain this given odd integer as a factor. Continue reading…

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Rev. Thomas Bayes: Amateur Mathematician

A US expert says a Welsh clergyman and amateur mathematician should be more widely recognised for his work on a vital probability equation still in use today. Continue reading…

Posted in Amateur Science, History of Science, Mathematics, Statistics | Leave a comment

Beware Faulty Statistical Methods


Thoughtful experts have been pointing out serious flaws in standard statistical methods for decades. In recent years, the depth of the problem has become more apparent and more well-documented. Continue reading…

Posted in Best Practices, Experimentation, Mathematics, Measurement, Observation, Statistics, Tools | Leave a comment

The Citizen Scientist, Way Back When

Some of you may know that in the beginning, there was The Citizen Scientist, an electronic newsletter of the Society for Amateur Scientists. Continue reading…

Posted in Amateur Science, Astronomy, Biology, Chemistry, Climate, DIY, Electricity, Electronics, Geology, Mathematics, Nature Study, Ornithology, Photography, Physics, Research Tools, Tips | 1 Comment

Some Companion Conjectures to Goldbach’s Strong Conjecture

The even integers from 4 to 28 as sums of two primes. Goldbach's conjecture states that every even integer greater than 2 can be expressed as the sum of two primes. Image: Wikipedia.

Goldbach’s Strong Conjecture is the following: Every even integer greater than 2 can be expressed as the sum of two primes. Continue reading…

Posted in Amateur Science, History of Science, Invention, Mathematics | 1 Comment

Citizen Science Musings: The Future of Citizen Science?


Recently it was my pleasure to have a long, informative chat with a couple of gentlemen who are part of an emerging trend outside the more settled model of “citizen science.” Continue reading…

Posted in Best Practices, Citizen Science Musings, Community, Computer Science, DIY, Engineering, Mathematics, Open Science, Open Source, Publishing, Research Tools, Software | 3 Comments

The “Long Sought”, Practical Prime Number Formula Has Been Known (But Not Recognized as Such) Since Ancient Times

The search for a simple and easy to use formula, that would produce integers guaranteed to be prime, has gone on since ancient times. It appears that no one ever happened to notice (until I did) that a type of equation which has been known since ancient times, will produce integers that are guaranteed to be prime, if the equation is set up properly. Continue reading…

Posted in Amateur Science, Invention, Mathematics, Tools, Uncategorized | Leave a comment

How to Blow Soap Bubbles That Last for Months or Even Years

Figure 1: A. V. Grosse's design for a bubble pipe with a moisture trap

ABOUT TWO MONTHS AGO I blew a big soap bubble inside a glass jug and put the jug on a bookshelf. The bubble is still there, iridescent and shimmering. It may last for years. Continue reading…

Posted in Chemistry, Experimentation, General Interest, History of Science, Invention, Mathematics, Physics, Projects, Science Fair, Uncategorized | Leave a comment

Plants Do Arithmetic

Plants have a built-in capacity to do maths, which helps them regulate food reserves at night, research suggests. Continue reading…

Posted in Biology, Botany, Breaking News, Mathematics, Measurement, Nature Study | 1 Comment