Euler’s Identity

You know these numbers:

constants

On the surface they appear unrelated. e is the base of natural logarithms, i is imaginary, π concerns circles. But, amazingly:

Euler's identity

Harvard mathematician Benjamin Peirce told a class, “It is absolutely paradoxical; we cannot understand it, and we don’t know what it means, but we have proved it, and therefore we know it must be the truth.”

Audition

In 2004 a mysterious billboard appeared in Silicon Valley; Cambridge, Mass.; Seattle; and Austin, Texas. It read:

{first 10-digit prime found in consecutive digits of e}.com

Most people know that e (2.718281828 …) is the base of natural logarithms, but searching it for a 10-digit prime string is a considerable task — the first such string, 7427466391, starts at the 101st digit.

Solvers who went to http://7427466391.com found an even more difficult problem to solve. But solving that led them to a page at Google Labs … inviting them to submit a resume.

Live and Let Die

James Bond never really explains why he likes his martinis “shaken, not stirred,” so in 1999 the University of Western Ontario’s biochemistry department decided to find out.

They discovered that a shaken gin martini has stronger antioxidant properties than a stirred one — which would help Bond avoid cardiovascular disease, stroke, and cataracts.

In their writeup for the British Medical Journal, they conclude, “007’s profound state of health may be due, at least in part, to compliant bartenders.”

See also Silly Old Bear.