GreyMamba

Thinking Allowed … (under construction)

Thinking Allowed … (under construction)

Maths and Statistics

A section to showcase various aspects of mathematics and statistics. OK, OK, I know statistics is a branch of mathematics but I like to differentiate them - probably because I often can't get my head around 'stats'! Any anyway, as Nassim Nicholas Taleb onec said: "Our risk machinery is designed to run away from tigers; it is not designed for the information-laden modern world."
Interesting stuff on Maths and Statistics

Linear Differential Equations

Although I ought to know this kind of stuff off the top of my head, I don't. In fact, I seem to forget how to do things immediately after I've done them… What were we talking about? Oh yes, Linear Differential Equations (LDE). Much of engineering and a lot of the 'harder' sciences are about describing the physical world and then using the descriptions to predict something else. Many problems need to describe systems that vary, in a predictable way.

Way back in the 17th century Newton and Leibnitz developed a concise mathematical way of dealing with these situations which has become modern day Calculus. Setting up a mathematical description often results in equations that contain some elements of this sytem and are referred to as differential equations. Certain forms of these are the eponymous LDEs.

So, this is just a simple reminder of what LDEs are, and one way to solve them.

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Somewhat 'moody' winter 'photo, Looking South across the River Mersey from the Hale lighthouse near Liverpool airport.

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