On January 11th, the BBC and Sky each made great play of ‘the worst excess deaths since the second world war’ announced for 2020. This clearly conveyed a message that the corona virus was indeed [more…]
Benford’s Law is a theory of leading digits in numerical data sets. Whilst one might think that the frequency of the leading digit would be equally distributed across the nine digits each with approximately 11% [more…]
The golden ratio is well known and is associated with the Fibonacci sequence of numbers. (phi) is the positive root of the quadratic equation . The exact value is given by Its continued [more…]
A Sophie Germain prime is a prime number such that is also a prime number. That is, , where and are both prime. For example, . The sequence begins Sophie Germain () explored these primes [more…]
Euclid’s Elements, Book IX, Proposition 20. Theorem : Prime numbers are more than any assigned multitude of prime numbers. That is, there are infinitely many primes. Proof : Suppose that there are primes : Let [more…]
Holograph Examples The PFG-01 holographic film that I’ve used in the examples below is ideally suited to making transmission holograms but it can also be used to make reflection holograms. Reflection Holograms One of the [more…]
Read as : the limit, as approaches infinity, of subfactorial divided by factorial is equal to divided by which approximates to , where is Euler’s number, The Hat Check Problem, as first described by Montmort [more…]
During a presidential debate, a little old lady, her grey hair in a bun, asks, “Name the three most important Space Race countries”. Sleepy-creepy Jo Biden, from his basement and with the benefit of voice [more…]
A Simple Dual Beam Setup We’ve got our film, developer and a safety lamp. Now we need a holographic camera. Well, not exactly a camera. You can’t take a picture of rolling hills or a [more…]
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