29 MAY 2013 by ideonexus

## Simple Explanation of Big O Part II

So if you want to find a name in a phone book of a million names you can actually find any name by doing this at most 20 times. In comparing search algorithms we decide that this comparison is our 'n'. For a phone book of 3 names it takes 2 comparisons (at most).For 7 it takes at most 3.For 15 it takes 4....For 1,000,000 it takes 20. That is staggeringly good isn't it? In Big-O terms this is O(log n) or logarithmic complexity. Now the logarithm in question could be ln (base e), log10, l...Second part of the explanation.

08 FEB 2012 by ideonexus

## The Earliest Account of Newton and the Apple

In the year 1666 he retired again from Cambridge... to his mother in Lincolnshire & whilst he was musing in a garden it came into his thought that the power of gravity (wch brought an apple from the tree to the ground) was not limited to a certain distance from the earth but that this power must extend much farther than was usually thought. Why not as high as the moon said he to himself & if so that must influence her motion & perhaps retain her in her orbit, whereupon he fell a c...Includes the fact that he extended the force pulling the apple to the ground up to the moon.