Lunar Art - The west side of the
moon (USGS
Astrogeology Research Program)
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This page brings together the unlikely
friends poetry and maths - the beauty of numbers - the hidden truths in an equation - the unequal music of chaos. Hope you like them. If you don't get them - just ask...
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Chance is a Fine
ThingI
think, therefore I am not sure. To be completely sure is delusional, while to fear all possible outcomes is
madness. Intelligence built on experience gives a cold-headed assessment of the probable. Descartes didn’t quite complete the postulate but
founded the axiom that thought is the proof of being, and while being needs no further proof, clear assessments
of uncertainty are the axes for the continuance of being. Now the problem with probability is the empirical basis and the timeframe. The calculation
is simple – the likelihood function* We are all certain to die sometime, but meanwhile enjoy the chances of
life. Then and now have different outcomes. But what is the chance of earthquake or hurricane, starvation or plenty, job
or lover, girl or boy, bomb or bullet, warming or cooling, chaos or order, sense or madness, freedom
or subjugation?
We
must have a plan and a course, robust to events, yet adjustable. Everything – yes everything – is
like sailing the seas. The question is how sound is the boat and how good the crew?
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ODE to singularity
We must admit that, although we are partially integrated in the first
moment, we frequently differentiate ourselves from others (though the divergence
is quite small). However, gradients and perturbations are rather important to our self estimation in real terms. Underlying it all we do try to honour
continuity and conservation, despite attempts at transformation, but reality
tends to chaos and then to strange attractors which may eventually lead us to uncover the ultimate governing equation: Ru = sum of the i's or the set that tends to infinity? Is mathematics the ultimate philosophy or will philosophy yield the ultimate equation? Do chaos and uncertainty mean God or does God impose determinism?
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Bayes Theorum and the likelihood FunctionA simple example of Bayes theory is the cookie jar. One jar has 10 chocolate chip cookies and 30 plain cookies, while the second jar has 20 of each. Fred picks
a jar at random, and then picks a cookie at random – he gets a plain one. We all know intuitively he could
have picked from either jar, but most likely picked from Jar 1. Bayes theory gives the probability that he picked from Jar 1 as 0.6.
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Twelve Twelve plain notes brought her tears, Beethoven’s melody raised her fears. What woman is this
who, in life’s bliss, carries a hurt she will
not miss How full is her heart, for which a
kiss, despite the loss, will return that bliss. And
I wonder why the human brain is so sensitive to
emotional pain – was is learned by instinct survival or given for God’s revival? It must be the latter, for the Pastoral notes are about revival – not just survival.
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