While I make every effort to ensure that all information displayed on this website is accurate and complete, I provide this site for information purposes only and it is therefore indicative rather than definitive. I thus do not guarantee its accuracy, whether explicit or implicit, and, to the fullest extent permitted by applicable laws, I do not accept responsibility for any errors, inaccuracies or omissions, or for any loss which might result directly or indirectly from reliance on the content it contains.
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copyright notice
This Web site is owned and controlled by Carolyn Clarke. Unless otherwise noted, all information featured on the carolynclarke.com website, (whether text or images), is protected by copyrights and trademarks, and is owned or licensed by Carolyn Clarke.
my logo
My logo is the representation of a chaotic attractor. It was created by Valery Tenyotkin, who owns the copyright. The original, plus many other beautiful examples of how mathematics is art, can be found at: http://hbar.servepics.com/~val/.
Why did I choose a chaotic attractor to represent my services? The internet can seem a vast, random universe without order, yet it does have an underlying structure and, I believe, an end point: to enhance our lives. In the same way, chaos only seems random to the observer--in fact, chaos has an underlying order.
A chaotic system is a collection of many orderly behaviours. They are unpredictable, but they are deterministic, and they have an end point (the 'attractor'). The initial conditions--the old cliche of the flap of a butterfly's wings causing a hurricane--matters to a chaotic system: they determine how a chaotic system will journey towards the attractor.
We can plot changes in a chaotic system on a graph, the axes representing dynamic variables. As the system changes, it moves from point to point, and we can plot its history of movement by connecting the points. This trajectory is not random: chaotic systems are drawn towards the attractor, visiting some areas of the graph many times, but not going to other areas at all.
This particular image seems to me to be a web that has structure and meaning. It also reminds me that most of our lives are based on what seem to be mysteries, but which are explicable through the use of mathematics and the discipline of scientific inquiry.