Search results

Maths in a minute: The graph isomorphism problem
... Networks are everywhere. We encounter them every day, in the form of the internet, or the social, transport and utility networks we depend upon. Mathematically, a network is an example of a graph : a collection of nodes (also called ...
Marianne  12 Dec 2017  14:33  0 comments

Fantastic Fibonacci
... 1, 1, 2, 3, 5, 8, 13, 21, ... First discovered in the 12th century by Leonardo Fibonacci while thinking about a problem ... books in Western mathematics. Maths in a minute: The golden ratio — A quick introduction to the famous ...
Marianne  30 Nov 2017  12:50  0 comments

Maths in a minute: Complex numbers
... and if you're not careful you might accidentally take a square root of something that's negative. That isn't allowed of course, but ... to your equation. People first noticed this fact in the 15th century. A lot later on, in the 19th century, William Rowan ...
Marianne  24 Nov 2017  11:11  1 comment

A brief exploration of mathematical modelling
... This is an edited version of the winning article in the ages 1115 category of the 2017 BSHM schools writing competition . ... of diseases .) A word of caution Will maths give you the mortgage? Models today have huge influence on ...
Marianne  1 Nov 2017  16:01  0 comments

Maths in a minute: Euler's identity
... identity is often hailed as the most beautiful formula in mathematics. People wear it on Tshirts and get it tattooed on their ... and . These three constants are extremely important in maths — and since the identity also involves and , we have a formula ...
Marianne  1 Nov 2017  11:54  5 comments

Maths in a minute: Expectation
... figure illustrates how the sequence of averages of rolls of a die (red) converges to the expected value of 3.5 (green) as the number of ... But how can this be? That number isn't even on the die! In probability theory the expectation or expected value is an idealised ...
Marianne  26 Sep 2017  09:19  2 comments

Maths in a minute: Maths and navigation
... exactly where you are when you are at sea. It had almost a mythical status and appeared in Gulliver's Travels as an example of an impossible problem. This ...
Marianne  20 Sep 2017  14:30  0 comments

Maths in a minute: Polar coordinates
... Cartesian coordinates. How do you locate a point on the plane? One way of doing this, which you’re probably familiar ... the axes as a pole from which everything radiates out. In the image below, click on the point and drag it around to see how its polar ...
Marianne  12 Sep 2017  11:42  3 comments

Maths in a minute: The binomial distribution
... By Christine Currie Here’s a bet. I flip a coin a total number of times and you win £1000 if it comes ... answer is given by the binomial distribution . Phrased in more general terms, the distribution gives the probability of achieving ...
Marianne  9 Aug 2017  12:50  0 comments

Maths in a minute: Cellular automata
... The name "cellular automaton" may sound a bit frightening, but the concept is actually quite simple. Think of a grid on the plane, for example a square grid or a honeycomb, in which each individual cell (each little square or hexagon) has one of two ...
Marianne  27 Jun 2017  11:15  0 comments