Euler gave us this jewel which is regarded by many as the most beautiful equation in mathematics; it has both elegance and simplicity. It is comprised of five fundamental numbers and the operations of addition, [more…]
One of the areas in which the UK has lost control during its membership of the EU is that of being able to respond to the climate change agenda. True, both the UK and the [more…]
Yet another climate protest against our use of fossil fuels. Spokes-persons berate us over air-waves driven by generated electricity carried by steel pylons cemented into the ground. They sit in a studio with its array [more…]
A binary operation is said to commute if the order of the operands does not alter the result. In the real numbers, , the following commutative laws hold : for all for all Although these [more…]
Or : Multiplying by . The beginning of complex numbers is often attributed to Cardano (1501 – 1576). Complex numbers provide a solution to the equation . They are an extension of the number system [more…]
– Astrophysicists have succeeded in decoding Solar activity and the results show that climate scientists have some questions to answer. There is an interesting collision about to take place between astrophysics and climate science. This [more…]
One sometimes gets very interesting results when one turns divergent sums upside down. The Basel problem was asked by Pietro Mengoli in . He asked what is the exact summation of the reciprocals of the [more…]
The Möbius function is denoted by , where is the Greek letter mu. Depending on the factorisation of , the function takes the values . The last says that if is even, then and if [more…]
“Rise above oneself and grasp the world” These are awarded every four years for advancement in the field of mathematics. There is an age limit of 40 on the recipients. It is a recognition of [more…]
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