Kindle Notes & Highlights
Later Bak (1) developed a theory of unpredictability that has subsequently been copied by popular writers like Nassim Nicholas Taleb (6) and others. Bak called it punctuated equilibrium, a concept first proposed by Stephen Jay Gould and Niles Eldredge in 1972 (3).
I once met a grad student at Harvard, and I asked him what he was studying. He said one word, in a portentous tone: “Hartshorne.” He meant Robin Hartshorne’s textbook Algebraic Geometry, published in 1977.
Here, finally, is our main theorem: Consider the three-body problem with small nonzero angular momentum epsilon and masses within a large open range. Then there is a large positive integer N with the following significance. If we choose any eclipse sequence whatsoever— which is N-long—then there is a corresponding solution to our threebody problem having precisely this eclipse sequence. If that sequence is made to be periodic, then so is the solution realizing it.
with hotels, stocks, and mergers, with geometric elements borrowed from war games. Acquire launched 3M’s collection of bookshelf games. Many of Sackson’s games, Twixt and Sleuth, for example, were published by 3M.
How to Multiply Big Numbers Fast For millennia, it took about n2 steps of single-digit multiplications to multiply two n-digit numbers. Then in 1960, the Russian mathematician Anatoly Karatsuba proposed a better way.
“Numerical analysis has grown into one of the largest branches of mathematics,” writes Professor Lloyd N. Trefethen. “Most of the algorithms that make this possible were invented since 1950.” The trapezoid rule, alas, is not among them.
First, we demonstrate via a case study from industry how statistical significance differs from practical importance.
Then, we propose and illustrate the use of statistical intervals instead. We recognize that this approach is not applicable to all situations.
In summary, we need to convince practitioners that there is an important place for statistical inference beyond significance testing and p < 0.05. We hope the approach outlined here will help get this message across—and quickly.
